2021-2022 Pierce College Catalog 
    
    Oct 07, 2022  
2021-2022 Pierce College Catalog [ARCHIVED CATALOG]

Course Prefixes


COURSE PREFIXES

PREFIX DEPARTMENT
ACCT ACCOUNTING
ASL AMERICAN SIGN LANGUAGE
ANTH ANTHROPOLOGY
ART ART
ASTR ASTRONOMY
ATMOS ATMOSPHERIC SCIENCE
BIOL BIOLOGY
BUS BUSINESS
BTECA/BTECM BUSINESS INFORMATION TECHNOLOGY
MNGT BUSINESS MANAGEMENT
CHEM CHEMISTRY
COLLG COLLEGE SUCCESS
CMST COMMUNICATION STUDIES
CIS COMPUTER INFORMATION SYSTEMS
CNE COMPUTER NETWORK ENGINEERING
CONST CONSTRUCTION MANAGEMENT
CJ CRIMINAL JUSTICE
CS COMPUTER SCIENCE
DHYG DENTAL HYGIENE
DDSGN DIGITAL DESIGN
DRMA DRAMA
ECED EARLY CHILDHOOD EDUCATION
ECON ECONOMICS
EDUC EDUCATION
EMT EMERGENCY MEDICAL TECHNICIAN
ENGR ENGINEERING
ENGL ENGLISH
ENVS ENVIRONMENTAL SCIENCE
FASH FASHION MERCHANDISING
FCA FIRE COMMAND
FRCH FRENCH
GEOG GEOGRAPHY
GEOL GEOLOGY
GERM GERMAN
HIST HISTORY
HSEM HOMELAND SECURITY
HSCI HEALTH SCIENCES
HSSA HUMAN SERVICES SUBSTANCE ABUSE
HUM HUMANITIES
INFO INFORMATION STUDIES
INTS INTERNATIONAL STUDIES
ISS INTEGRATED SOCIAL SCIENCE
JAPN JAPANESE
JOURN JOURNALISM
KINS KINESIOLOGY
KREA KOREAN
MATH MATHEMATICS
MUSC MUSIC
NSCI NATURAL SCIENCE
NURS NURSING
NAC NURSING ASSISTANT CERTIFIED
NUTR NUTRITION
OSH OCCUPATIONAL SAFETY AND HEALTH
OCEA OCEANOGRAPHY
PHIL PHILOSOPHY
PE PHYSICAL EDUCATION
PS PHYSICAL SCIENCE
PHYS PHYSICS
POLS POLITICAL SCIENCE
PSYC PSYCHOLOGY
READ READING
RUSS RUSSIAN
SSMH SOCIAL SERVICE MENTAL HEALTH
SOC SOCIOLOGY
SPAN SPANISH
VT VETERINARY TECHNOLOGY

 

 
  
  •  

    MATH 114 Applied Algebra, Geometry, and Trigonometry (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Prerequisite MATH 098  or equivalent with a grade of at least 2.0, or placement test score above MATH 098.

    Course Description
    Linear, quadratic, logarithmic, exponential, and trigonometric functions and their applications. Interpretation and display of information using rectangular, polar, and logarithmic coordinate systems. Right triangle and unit circle trigonometry. Vector operations using real and complex numbers. Solutions to systems of linear equations.

    Student Outcomes
    1. Perform basic algebraic manipulation with polynomials, rational expressions, geometric formulas, and exponential and logarithmic expressions.
    2. Solve linear, quadratic, rational, exponential, logarithmic, and trigonometric equations.
    3. Interpret, in the context of the problem, a variety of data in table and in graphical form.
    4. Perform unit analysis and unit conversions within and between measurement systems. (e.g., US - SI, degrees - radians, Kelvin - Rankine - Farenheit - Celsius)
    5. Perform basic operations with scientific notation and engineering notations and use significant figures appropriately.
    6. Solve systems of equations using Cramer’s Rule and matrix algebra.
    7. Display and interpret graphical information for the functions listed in 1.
    8. Find solutions to vector problems graphically and algebraically.
    9. Apply metric prefixes (Kilo, Hecta, Deca, deci, centi, milli) appropriately to complete problems.
    10. Display and interpret graphical information in rectangular, polar, and logarithmic coordinate systems.
    11. Use the appropriate formula(s) to solve right triangles.
    12. Use law of cosines and law of sines appropriately to solve non-right triangles.
    13. Apply complex number using unit-circle trigonometry.
    14. Perform the basic (add, subtract, multiply, and divide) mathematical operations on complex numbers.
    15. Perform vector operations with complex numbers.
    16. Link algebraic, numeric, and graphical solutions with each other.
    17. Solve and analyze application problems that involve concepts covered in this course and in previous courses.
    18. Communicate methods of solutions and solutions to problems for the clarity of the
    receiver.
    19. Interpret the solution in the context of the problem and evaluate the reasonableness of the solution.
    20. Participate actively and responsibly in all course activities.
    21. Use technology appropriately to solve problems.
  
  •  

    MATH 147 Business Precalculus (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Formerly MATH 147/MATH 156 Finite Mathematics

    Prerequisite MATH 098  or equivalent with a grade of at least 2.0, or placement test score above MATH 098.

    Course Description
    Linear, polynomial and rational function models. Exponential and logarithmic functions. Mathematics of finance, matrices, linear programming, and set operations.

    Student Outcomes
    Rate of change (content A, B)
    1. Calculate the rate of change of a linear function numerically, graphically, and symbolically.
    2. Interpret the rate of change verbally and graphically, including interpretation in business applications.
    3. Calculate and simplify the difference quotient for various types of functions including linear and quadratic functions.
    Functions (content C, D)
    4. Evaluate a function given as a graph, table, or formula, particularly using standard function notation f(x),including piecewise functions.
    5. Evaluate and simplify composite functions.
    Linear functions, equations, and inequalities (content A, B, C, D)
    6. Determine the equation of a line given various information (two points, a point and the slope, a point and some information about the slope such as a parallel or perpendicular line).
    7. Sketch the graph of a line given a point and the slope, or two points, with and without a calculator.
    8. Graph piecewise linear function
    9. Solve linear equations for a specified variable.
    10. Determine the linear regression for a given set of data that is approximately linear and interpret its accuracy with a calculator.
    11. Solve linear inequalities and show the solution graphically, symbolically (inequality notation, interval notation, or set notation), and verbally.


    Polynomial and rational functions (content A, C, D, E)
    12. Determine the domain and range of polynomial and rational functions, with and without a calculator.
    13. Determine zeroes (x-intercepts), the vertex, and axis of symmetry for quadratic functions, and use this information along with the y-intercept to sketch the graph without a calculator.
    14. Determine the quadratic function if given various items of information (x-intercepts and a point, or vertex and a point) with and without a calculator.
    15. Sketch the graph of a polynomial, using all available information: degree, sign of the leading term, zeroes (x-intercepts), the y-intercept, and the multiplicity of repeated zeroes.
    16. Determine vertical and horizontal asymptotes, zeroes (x-intercepts), open circles, and y-intercepts for rational functions and use this information along with test points to sketch the graph.
    17. Solve polynomial and rational inequalities and show the solution graphically and symbolically (inequality notation, interval notation, or set notation).

    Exponential and Logarithmic functions (content A, D, F)
    18. Graph exponential functions and correctly interpret graphs of exponential functions.
    19. Solve problems involving exponential growth and decay functions with and without a calculator.
    20. Use the relationship between exponential functions and logarithms to rewrite an exponential in logarithmic form and vice versa.
    21. Use properties of logarithms (exponent property, sum and difference properties) to solve exponential equations without a calculator.

    Applications (content G)
    22. Solve a variety of business applications including the following:
    - Break-even analysis for linear revenue, cost, and profit functions
    - Equilibrium points for linear or quadratic or rational demand and supply functions,
    - Finding a linear cost, revenue, or profit function given information such as marginal cost, fixed cost, price per item,
    - Finding maximum profit, maximum revenue, or minimum cost, for quadratic profit/revenue/cost functions.
    23. Solve a variety of application problems using rational, polynomial, logarithmic, and exponential equations and inequalities involving business, and topics chosen from health, social and natural sciences.

    Matrices (content G)
    24. Use row operations and the Gauss-Jordan Method to solve linear systems.
    25. Perform basic matrix operations to include adding, subtracting, and multiplying matrices with and without a calculator.

    Linear Programming (content H)
    26. Optimize the objective function, consider constraints, and use graphical techniques.
    27. Set up linear programming problems (objective functions and constraint inequalities) from applications.

    Set Operations (content J)
    28. Determine the complement, intersection, and union of two or more sets.
    29. Use Venn diagrams to solve application problems involving business, health, social and natural sciences data.

    Finance (content K)
    30. Use finance formulas to compute future value, present value, and compound interest (including annually, quarterly, weekly, and daily).
    31. Compute future value, present value, simple interest, compound interest (including annually, quarterly, weekly, and daily), continuous interest, and amortization schedules for a variety of finance problems.

    Writing
    32. Use appropriate units when solving application problems. Express solutions to problems correctly in sentences, when appropriate. Use mathematical terms and vocabulary correctly.

    General Skills
    33. Communicate methods of solution and solutions to problems clearly to their intended audience.
    34. Participate actively and responsibly in course activities.
  
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    MATH 205 Linear Algebra (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Prerequisite MATH& 153  or MATH& 163  with a grade of 2.0 or higher (MATH 224  or MATH& 264  recommended) or instructor permission.

    Course Description
    Applications and techniques of Linear Algebra, including solving systems of equations, vector spaces, matrix operations, linear transformations, eigenvalues, eigenvectors, and characteristic polynomials. Introduction to appropriate technology and elementary proofs.

    Student Outcomes
    The student should be able to:

    Gaussian Elimination component
    1. Row reduce a matrix to reduced row echelon form by hand.
    2. Use Gaussian elimination to find all solutions to a system of linear algebraic equations.
    3. Use systems of equations to effectively model real world problems from engineering and the sciences and interpret their solutions in the context of the problem.

    Matrix component
    4. Add, subtract, multiply, and re-scale matrices without technology.
    5. Compute the inverse of a matrix using Gaussian elimination without technology.
    6. Use the inverse of a matrix to solve a system of equations without technology.
    7. Compute the transpose of a matrix without technology.
    8. Utilize the properties of the determinant in solving problems in linear algebra.
    9. Calculate determinants without technology.

    Vector Spaces component
    10. Define and understand the concept of a vector space.
    11. Prove whether or not a given set with given operations is a vector space, including Euclidean spaces with standard and non-standard operations, polynomial spaces, function spaces, matrix spaces.
    12. Determine whether or not a subset of a given vector space is a subspace.
    13. Compute the span of a given subset of a vector space.
    14. Determine whether or not a given subset of a vector space is linearly independent.
    15. Define and understand the concept of a basis for a vector space.
    16. Determine whether or not a given subset is a basis, including the standard bases for Euclidean space, polynomial spaces, and matrix spaces.
    17. Determine the dimension of Euclidean, polynomial, and matrix spaces.
    18. Compute the rank and nullspace of a matrix, including finding appropriate bases.
    19. Compute the coordinates of an element of a vector space relative to a given basis.
    20. Compute the transition matrix for coordinates relative to two bases.



    Linear Transformations component
    21. State the definition of a linear transformation and determine whether a given transformation is linear or not.
    22. View examples from calculus as linear transformations, including preparations for differential equations.
    23. Compute the kernel and range of a linear transformation, including finding appropriate bases, including for linear transformations not given by a matrix.
    24. Find the matrix representation of a linear transformation relative to standard and non-standard bases.
    25. Construct matrix representations of geometric transformations such as reflections, dilations, contractions, and reflections in Euclidean space.
    Eigenvalues component
    26. Visualize the geometric consequences of the eigenvalues and eigenvectors of a matrix.
    27. Compute the eigenvalues of a matrix via the characteristic polynomial.
    28. Compute the eigenvectors of a matrix via the nullspace.
    29. Diagonalize a matrix.
    30. Apply diagonalization to solve a variety of problems from mathematics, the sciences, and engineering, including the Fibonacci numbers, stochastic processes, and Markov processes.
    General Content
    31. Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language.
    32. Compute basic examples and concepts by hand.
    33. Write clear, coherent, and correct mathematical proofs at a basis level, including construction of counter examples and proof by contradiction.
    34. Utilize computer algebra and graphical systems to solve problems, understand concepts, and model physical problems, as appropriate.
  
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    MATH 224 Multivariate Calculus (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Prerequisite MATH& 153  with a grade of 2.0 or higher or instructor permission.

    Course Description
    Functions of several variables. Partial derivatives, multiple integrals, and their applications. Vector analysis including vector fields, line and surface integrals, Green’s theorem, Stokes’ theorem, and the Divergence theorem.

    Student Outcomes
    The student should be able to:

    Functions of Several Variables component
    1. Evaluate functions of several variables numerically, graphically, and symbolically.
    2. Graph functions of several variables utilizing technology as appropriate.
    3. Compute limits of functions of several variables.
    4. Determine the domain and continuity of a function of several variables.

    Partial Derivatives component
    5. Utilize the definition of the partial derivative of a function of several variables to solve rate of change problems.
    6. Compute partial derivatives symbolically utilizing the basic techniques from single variable calculus.
    7. Determine an equation of the tangent place to a surface defined by a graph of a function, by an implicit equation, and by a parametric equation.
    8. Compute partial derivatives via the chain rule and through implicit differentiation.
    9. Locate and test extrema using the Second Derivative Test.
    10. Utilize Lagrange multipliers to optimize functions of several variables given one or more constraints.
    11. Apply directional derivatives to solve rate of change problems in arbitrary directions. Determine the direction of maximal and minimal change of a function of several variables.
    12. Apply techniques of partial derivatives to solve problems in the sciences and engineering.

    Multiple Integrals component
    13. Construct the double integral of a function of two variables as the limit of a Riemann sum.
    14. Compute double integrals of functions of two variables over rectangle regions by identifying the relevant solid and computing its volume.
    15. Compute multiple integrals over general regions whose boundaries are parameterized by curves or surfaces, utilizing the basic techniques from single variable calculus.
    16. Compute double and triple integrals in polar, cylindrical, and spherical coordinates.
    17. Compute the surface area of a parameterized surface via a double integral.
    18. Describe and construct basic transformations and compute their Jacobians.
    19. Apply the Change of Variables theorem to compute multiple integrals.
    20. Apply techniques of multiple integrals to solve problems in the sciences and engineering.


    Vector Analysis component
    21. Draw vector fields in two and three dimensions.
    22. Qualitatively determine characteristics of vector fields, including periodic orbits and singularities.
    23. Compute the line integral of a function and of a vector field along a parameterized curve.
    24. Determine the work done by a force field in moving a mass-less particle along a parameterized trajectory.
    25. Determine whether a vector field is conservative or not and construct a potential if one exists.
    26. Apply the Fundamental Theorem of Line Integrals.
    27. Apply Green’s theorem to line integrals around closed paths.
    28. Compute the curl of a vector field and describe its implications.
    29. Construct and compute surface integrals of vector fields.
    30. Determine the net rate of flow of a fluid through a parameterized membrane.
    31. Use Stokes’ theorem to compute surface and triple integrals.
    32. Compute the divergence of a vector field and apply the divergence theorem to compute surface and triple integrals.
    33. Apply techniques of vector analysis to solve problems in the sciences and engineering.

    General Content
    34. Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language.
    35. Utilize computer algebra and graphical systems to solve problems, visualize abstract concepts, and model physical problems, as appropriate.
  
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    MATH 238 Differential Equations (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Prerequisite MATH& 153  or MATH& 163  with a grade of 2.0 or higher (MATH 205  recommended) or instructor permission.

    Course Description
    This course covers first and second order differential equations with applications to the sciences and engineering, an introduction to higher order equations, Laplace transforms, and systems of linear differential equations.

    Student Outcomes
    1. Solve first order, second order, higher order, and systems of differential equations using all the analytic, graphical, and numeric techniques described in the course content, including use of the Laplace transform.
    2. Model and solve diverse problems in sciences and engineering using differential equations.
    3. Write clear, correct, and complete solutions to mathematical problems and basic mathematical proofs.
  
  •  

    MATH& 107 Math in Society (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Formerly MATH 107 - CCN

    Prerequisite MATH 077, MATH 096  or MATH 098  or equivalent with a grade of at least 2.0 or satisfactory placement test score.

    Course Description
    Contemporary mathematics applied to a variety of fields. Instructor-chosen topics will focus on graphical- and formula-derived solutions, statistics, applied problems, and communicating solutions. Topics may include management science, statistics, social choice, patterns, and financial applications.

    Student Outcomes
    1) Read complex scenarios and extract from them information relevant to solving problems. Obtain any necessary additional information from outside sources.

    2) Identify a strategy for solving problems in diverse scenarios and contexts

    3) Solve problems using a variety of quantitative and mathematical techniques, including:
    a) Solve multi-step problems using proportional reasoning approaches (some examples: dimensional analysis, use rates and ratios, scale shapes, convert square and cubic units, calculate percents)

    b) Create and analyze graphical representations of data to summarize data, make comparisons, and visualize distributions.

    c) Model and solve problems using graphical methods (some examples: estimate solutions using graphs of functions, use graphs to analyze network flows such as Euler and Hamilton Circuits, use graphs to model scheduling problems, use Venn diagrams to analyze set interactions, create system dynamics models)

    d) Solve problems using algorithms (some examples: build amortization schedules, execute voting theory algorithms, execute fair division algorithms, execute network flow algorithms)

    e) Solve problems using formulas or equations (some examples: use financial formulas, use probability formulas, build and use growth models)

    4) Determine the reasonableness and implications of mathematical solutions, and recognize the limitations of the methods used.

    5) Communicate mathematical processes effectively by showing appropriate steps or procedures.

    6) Communicate contextual solutions effectively by including units or writing a phrase, complete sentence, or paragraph as appropriate.

    7) Interpret results in context of the problem, describe their implications, and/or use the results to make decisions.

    8) Solve complex, open-ended problems utilizing elements from all the above outcomes within a single scenario.
  
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    MATH& 131 Math for Elementary Education 1 (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Formerly MATH& 171

    Prerequisite MATH 077, MATH 096   or MATH 098   or equivalent with a grade of at least 2.0 or satisfactory placement test score and eligible for ENGL& 101   and READ 101 .

    Course Description
    The first of two courses for prospective elementary teachers focusing on the mathematics underlying modern elementary school math. Topics include: number systems, models for operations, problem-solving techniques, and a variety of instructional approaches. Emphasizes deep conceptual understanding of content, connections among topics, and communication of mathematical ideas. Appropriate technology is incorporated.

    Student Outcomes
    Problem solving and Reasoning  
    1. Apply problem-solving strategies and/or mathematical reasoning to interpret and solve math problems, illustrate and justify quantitative relationships and computational methods and evaluate the reasonableness and accuracy of potential solutions to problems.
    Structure & Operations with Real Numbers
    2. Explain and use the mathematical structure and properties of the set of real numbers and arithmetic operations to solve problems involving whole numbers, integers, fractions, decimals, percents, and proportions.   
    Algebraic Expressions, Equations & Functions
    3. Use symbolic algebra to represent and solve applied problems and investigate how the variables interact and are represented graphically. 
    Communication of Mathematical Ideas and Reasoning  
    4. Clearly communicate mathematical thinking, strategies and solutions both orally and in writing using proper mathematical notation and vocabulary, and evaluate that of others during independent and collaborative activities. 
    Connections and Context  
    5. Demonstrate knowledge of historical and cross-cultural contributions to mathematics and to the development of number systems.  
    6. Analyze and explain how mathematical ideas connect to one another and to real-life topics.
    Instructional Methodology  
    7. Discuss and apply relevant national and state mathematical standards and appropriate instructional methods observed in K-8 classrooms​.
    8. Use appropriate technology and concrete materials (manipulatives) for problem solving, demonstrating concepts, and exploration.  
    9. Investigate and explain the effects of math anxiety on learners and the learning environment in an elementary classroom and discuss strategies to address anxiety/avoidance in oneself and others.
  
  •  

    MATH& 132 Math for Elementary Education 2 (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Formerly MATH& 172 and MATH& 173

    Prerequisite MATH 077, MATH 096  or MATH 098   or equivalent with a grade of at least 2.0 or satisfactory placement test score and eligible for ENGL& 101  .

    Course Description
    This is the second of two courses for prospective elementary teachers focusing on the foundation underlying modern elementary school math. Topics include geometry, measurement, probability, and descriptive statistics. This course emphasizes deep conceptual understanding of content, connections among topics, and communication of mathematical ideas. Appropriate technology is incorporated.

    Student Outcomes
    Geometric Concepts (A, B, C)
    1. Apply geometric properties, along with spatial reasoning, to develop mathematical arguments about geometric relationships and solve mathematical problems.
    Measurement Concepts and Applications (D, E)
    2. Select and use appropriate techniques and tools to find measurable attributes of objects, develop and use formulas for measurable attributes of objects, and apply appropriate units and systems of measurement to solve problems.  
    Descriptive Statistics (F, G, H, I, L)
    3. Design simple investigations to collect, display, analyze and interpret data in order to make inferences and predictions.
    Probability (J, K, L)
    4. Apply basic probability theory to solve problems and make and test conjectures about the results of experiments and simulations.
    Mathematical Communication (M)
    5. Clearly communicate mathematical thinking and solutions both orally and in writing and analyze and assess the mathematical thinking, strategies, and solutions of others.
    Connections and Context (N)
    6. Discuss historical and cross-cultural contributions to topics in geometry and
    statistics.
    7. Analyze and explain how mathematical ideas connect to one another and to
    real-life topics.
    Instructional Methodology (O, P)
    8. Relate national and state standards to mathematical content of this course, articulate content and methods of instruction observed in lessons in a K-8 classroom, and demonstrate methods of instruction by developing and presenting activities or lessons involving concepts in this course.
    9. Use appropriate technology and concrete materials (manipulatives) for problem solving, demonstrating concepts, and exploration.
  
  •  

    MATH& 141 Precalculus I (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Formerly MATH 121 - CCN

    Prerequisite MATH 098  with at least a 2.0 grade or placement test score above MATH 098 or co-enrolled in MATHL 141.

    Course Description
    Families of functions, their properties, graphs and applications. Functions include: polynomial, rational, exponential, logarithmic functions and combinations of these. Solve related equations and inequalities. Data analysis, introductory mathematical modeling. Develop competency with a graphing calculator.

    Student Outcomes
    A(1), C. Four Forms of Functions
    1. Solve equations algebraically and graphically involving linear, quadratic, polynomial, rational, exponential, logarithmic, absolute value and square root functions.
    2. Solve linear, polynomial, and rational inequalities algebraically and graphically.
    3. Link verbal, algebraic, numerical, and graphical solutions with each other.
    4. Describe or determine the average rate of change of a function verbally, algebraically, numerically, and graphically.
    5. Describe and determine inverse functions verbally, algebraically, numerically, and graphically.
    6. Perform transformations (shifts, compressions/stretches, and reflections) of functions given in algebraic, numerical, and graphical form for functions such as linear, quadratic, exponential, logarithmic, absolute value, and square root.


    A(2), C. Properties of Functions
    7. Determine domain and range of functions.
    8. Use the properties of logarithms to simplify or evaluate logarithmic expressions.
    9. Determine from a graph or equation if a function is even, odd, or neither.
    10. Determine the properties of polynomial and rational functions such as degree, maximum number of zeros, maximum number of turns, multiplicity of zeros, vertical asymptotes, horizontal asymptotes, and long-run behavior.


    A(3). The Algebra of Functions
    11. Simplify, evaluate, and find the domains of combined functions and composite functions.
    12. Determine the equations of polynomial, exponential, and logarithmic functions algebraically


    A(4). Graphs of Functions
    13. Identify and sketch graphs of the elementary functions (constant, linear, quadratic, third degree and higher polynomial, absolute value, square root, cube root, rational, exponential (base 10 and base e), logarithmic (base 10 and base e)).
    14. Graph elementary functions without a calculator by using methods such as a table of values, slope-intercept, characteristic shape of the function, degree, maximum number of zeros, maximum number of turns, multiplicity of zeros, vertical asymptotes, horizontal asymptotes, and long-run behavior.



    A(5). Applications of Functions
    15. Solve application problems such as optimization or growth and decay using the appropriate elementary functions.
    16. Interpret the solution in the context of the problem and evaluate the reasonableness of the solution.


    B. Analytic Geometry
    17. Calculate the distance and midpoint between two points.
    18. Use the equation of a circle to produce a graph and find the equation of a circle from a graph.


    D. Data analysis and Mathematical modeling
    19. Interpret and analyze linear and non-linear data in numeric, graphic, and algebraic form to develop an appropriate model using technology.

    E. Graphing Calculator
    20. Graph functions on a calculator and analyze them using an appropriate window.
    21. Find minima, maxima, zeros, long-range behavior, and asymptotes using a graphing calculator.


    F. General Content
    22. Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language.
    23. Communicate the difference between an exact and an approximate solution and determine which is more appropriate for a given problem.
  
  •  

    MATH& 142 Precalculus II (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Prerequisite MATH& 141  with a grade of at least 2.0, suitable placement test score, or instructor permission.

    Course Description
    Families of trigonometric functions, their inverses, properties, graphs, and applications. Trigonometric equations and identities. Laws of sines and cosines. Polar coordinates and graphs. Parametric equations. Elementary vector operations.

    Student Outcomes
    A. Angles and Radian Measure
    1. Convert radians to degrees and vice versa.
    2. Solve applied problems involving arc length and linear/angular speed.
    3. Determine or calculate the reference angle for a given angle and compute or determine angles coterminal with a given angle.

    B. Trigonometric Functions and their Inverses
    4. Apply the definitions of the trigonometric functions in terms of right triangles to solve for missing sides and angles of right triangles.
    5. Apply the definitions of the trigonometric functions in terms of the unit circle to state the coordinates of a point on a circle in terms of sine and cosine.
    6. Given a trigonometric function value for an angle, determine the other five trigonometric function values for the same angle without solving for the angle.
    7. Solve applied problems involving right triangle trigonometry.
    8. Recall or derive trigonometric function values for pi/6, pi/4, pi/3, pi/2, and pi as well as angles which are coterminal to these or have these as reference angles without outside reference or calculator.
    9. Apply the law of sines and the law of cosines to solve for unknown sides and angles of triangles and solve applied problems associated with these laws.
    10. Sketch the graphs of trigonometric functions, their transformations, and their inverses and state the domain and range of these functions.
    11. Identify the amplitude, period, midline (vertical shift), and phase shift (or horizontal shift) from a graph, formula, table, or verbal description.
    12. Determine a formula given the graph or table of a standard or transformed trigonometric function.
    13. Use trigonometric functions to model periodic behavior (e.g., ferris wheels, daylight hours, tides, etc.).
    14. Solve applied problems involving harmonic motion including problems with changing amplitude and/or midlines.
    15. Evaluate inverse trigonometric functions involving the basic angles without the use of a calculator, considering the domain and range of these functions.
    16. Convert trigonometric expressions such as cos(arctan x) into algebraic expressions.

    C. Trigonometric Equations and Identities
    17. Solve trigonometric equations for all solutions, providing exact or approximate solutions as appropriate.
    18. Prove trigonometric identities that require multiple steps, other trigonometric identities, and algebraic manipulation.
    19. Apply the addition and subtraction formulas, double angle formulas, and algebraic techniques to solve equations and simplify expressions.

    D. Polar Coordinates and Graphs
    20. Convert polar coordinates into rectangular coordinates and vice versa.
    21. Convert polar equations into rectangular equations and vice versa.
    22. Sketch the graphs of polar equations using a calculator, and sketch the graph of simple polar equations by hand.

    E. Introduction to Vectors
    23. Convert between direction and magnitude and component form of a vector
    24. Perform basic operations with vectors (addition, subtraction, scalar multiplication) graphically and component-wise.
    25. Solve vector application problems such as navigation and resultant forces, including problems where vectors are specified by magnitude and direction.

    F. Parametric Equations
    26. Convert a set of parametric equations into a Cartesian equation and determine a parametrization of a Cartesian equation including identifying the bounds.
    27. Sketch the graphs of parametric equations by hand and by calculator.

    G. General Outcomes
    28.Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language.
    29. Determine whether an exact or approximate solution is more appropriate for a given problem.
    30. Participate actively and responsibly in all course activities.
    31. Link graphical, numeric, and symbolic approaches when interpreting situations and analyzing problems.
  
  •  

    MATH& 146 Introduction to Stats (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Formerly MATH 281 - CCN

    Prerequisite MATH 077, MATH 096  or MATH 098  or equivalent with a grade of at least 2.0 or satisfactory placement.

    Course Description
    Introduction to the analysis of data using descriptive statistics, probability, and inferential statistics. Topics include: data collection methods; measures of center and variation; graphical presentation of data; probability; binomial and normal distributions; confidence intervals; hypothesis tests of one and two parameters, using the normal, Student-t, and chi-square distributions; linear correlation and regression.

    Student Outcomes
    Descriptive Statistics:

    1. Identify and describe various probabilistic sampling methods.
    2. Identify components of experimental and observational studies.
    3. Identify uses and misuses of statistics.
    4. Construct appropriate representations of data, such as tables (contingency tables and frequency distributions), and graphs (histograms, scatterplots, and boxplots.)
    5. Calculate measures of center (mean, median) with and without technology.
    6. Calculate measures of variation (range, standard deviation, variance) with and without technology.

    Probability:

    7. Calculate probability for simple and compound events using both empirical data and sample spaces.
    8. Use appropriate counting methods (fundamental counting rule, permutations, combinations).
    9. Solve problems using discrete probability distributions, including binomial distributions.
    10. Determine the mean and standard deviation of discrete probability distributions.
    11. Solve problems using continuous distributions, including normal and Student t distributions.
    12. Apply the Central Limit Theorem to calculate the mean and standard deviation of sampling distributions.

    Inferential Statistics:

    13. Determine appropriate sizes of samples.
    14. Generate confidence intervals for means and proportions.
    15. Select and perform hypothesis tests for the mean of one population, proportion of one population, means of two populations, and proportions of two populations.
    16. Use the chi-square distribution to perform a hypothesis test such as goodness-of-fit or test of independence.
    17. Analyze two-variable data using scatter plots, linear correlation coefficients, and linear regression lines, using technology to calculate these items.
    18. Determine whether there is a statistically significant linear correlation between two variables.

    Communication and General Skills:

    19. Communicate the results of data analysis clearly and precisely in both technical and non-technical words, including the use of the following: correct statistical vocabulary; graphical, symbolic, and numeric support for conclusions; indications of the strength and limitations of conclusions.
    20. Engage in experiential learning of key concepts through classroom activities and/or projects.
    21. Draw logical conclusions related to a specific problem by integrating the use of the following: sampling; summary statistics and presentation of data; and either confidence intervals, hypothesis tests or regression analysis as appropriate.
  
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    MATH& 148 Business Calculus (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Formerly MATH 157 - CCN

    Prerequisite MATH 147  (preferred) or MATH& 141  with a grade of at least 2.0 or instructor permission.

    Course Description
    Concise course in calculus. Differential and integral calculus of non-trigonometric functions with an emphasis on business and economics applications.

    Student Outcomes
    LIMITS AND CONTINUITY (content B)
    1. Evaluate and interpret limits of functions using numerical, graphical, and algebraic methods with and without a calculator.

    2. Determine the continuity of a function graphically and computationally without the calculator.

    RATES OF CHANGE AND DIFFERENTIATION (content C, D)
    3. Calculate the average rate of change between two points on a function and interpret the answer using the correct units.

    4. Estimate the rate of change of a function at a point using the limit of the appropriate average rates of change with and without the calculator.

    5. Calculate and interpret instantaneous rates of change and interpret rates of change in applications.

    6. Calculate derivatives and values of derivatives of polynomials, rational functions, exponential functions, and logarithmic functions using differentiation techniques including the constant rule, power rule, product rule, quotient rule, and chain rule without the calculator.

    7. Calculate derivatives and values of derivatives of higher order without the calculator.


    APPLICATIONS OF DIFFERENTIATION (content C, D)
    8. Determine where a function is non-differentiable graphically and computationally.

    9. Determine the critical value(s), critical point(s), inflection value(s), inflection point(s), interval(s) of increasing, interval(s) of decreasing, concavity, and relative extrema of a function from a graph and computationally with and without the calculator.

    10. Given the graph of a function, sketch the graphs of the first and second derivatives.

    11. Determine equations of tangent lines and represent and interpret them graphically and in words.

    12. Calculate marginal profit, marginal revenue, and marginal cost given a formula, graph or other information for a profit, revenue, and/or cost function.
    13. Solve applied optimization problems, such as maximizing profit, minimizing cost, minimizing inventory costs, or maximizing yield.

    14. Calculate elasticity of demand and interpret the value

    INTEGRATION AND APPLICATIONS (content D, E, F)
    15. Determine indefinite integrals of x^n, e^x, ln(x) and any linear combination of these functions.

    16. Evaluate proper definite integrals of x^n, e^x, ln(x) and any linear combination of these functions, and use these definite integrals to solve applied problems with and without the calculator.
    17. Calculate appropriate indefinite and definite integrals using substitution and a table of integrals.
    18. Calculate the area bounded between curves.
    19. Approximate the area bounded between curves using left or right endpoint approximation.

    20. Interpret the area between curves in applications and use the appropriate units (e.g. interpret the integral of marginal cost as a change in total cost)

    21. Use definite integrals to solve applied problems, including finding the consumer’s surplus, producer’s surplus, and average value of a function on an interval.


    FUNCTIONS OF SEVERAL VARIABLES (content G)
    22. Evaluate a function of several variables.

    23. Calculate and evaluate partial derivatives, including first partials, second partials, and mixed partials.

    WRITING
    24. Use appropriate units when solving application problems. Express solutions to problems correctly in sentences, when appropriate. Use mathematical terms and vocabulary correctly.

    GENERAL SKILLS
    25. Communicate methods of solution and solutions to problems clearly to their intended audience.

    26. Participate actively and responsibly in course activities.
  
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    MATH& 151 Calculus I (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Formerly MATH 124 - CCN

    Prerequisite MATH& 142  with a grade of at least 2.0, satisfactory placement test score, or instructor permission.

    Course Description
    Families of algebraic and transcendental functions and their derivatives. Limits, including indeterminate forms. Applications of differential calculus, anti-derivatives.

    Student Outcomes
    Limits and Continuity
    1. Determine limits of functions at real numbers and at infinity using graphical, algebraic, and numerical techniques.
    2. Use the definition of continuity to graphically and analytically determine whether a function is continuous.
    3. Determine the differentiability of a function graphically and/or analytically.
    4. Use the limit definition of the derivative to find the derivatives of polynomial functions.

    Derivatives of Algebraic and Transcendental Functions
    5. Calculate the derivatives of polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions by use of the basic rules of differentiation including the product, quotient, and chain rules, without use of technology.
    6. Calculate derivatives of functions defined implicitly.

    Applications of Derivatives
    7. Determine average and instantaneous rates of change algebraically, graphically, and numerically, and interpret the rate of change in the context of the problem.
    8. Determine the equations of tangent lines.
    9. Sketch the graph of the first and second derivatives when given the graph of a function. Interpret the graph in the context of the problem.
    10. Find global and local extrema, inflection points, intervals of increase/decrease, and intervals of concavity, and use these to sketch the graph of a function.
    11. Apply differentiation to solve applications, including optimization and related rates, in a variety of fields such as physics, chemistry, biology, or economics.
    12. Calculate linear approximations and/or differentials, and use them to solve problems such as approximating function values and/or calculating uncertainties.
    13. Apply L’Hospital’s Rule to calculate limits of indeterminate forms, including 0/0, inf/inf, and 0*inf.

    Anti-derivatives
    14. Calculate anti-derivatives of power functions, polynomials, basic exponentials, and basic trigonometric functions.

    General Content
    15. Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation, units, and appropriate language.
    16. Solve and analyze application problems that involve concepts covered in this course and in previous courses.
    17. Use technology appropriately as a tool to solve problems.
    18. Link graphical, numeric, and symbolic representations of derivatives when interpreting situations and analyzing problems.
  
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    MATH& 152 Calculus II (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Formerly MATH 125 - CCN

    Prerequisite MATH& 151  with a grade of 2.0 or higher or instructor permission.

    Course Description
    Fundamental Theorem of Calculus. Definite and indefinite integrals. Methods of Integration. Applications of integration. Improper integrals. Introduction to first order differential equations.

    Student Outcomes
    Techniques and Concepts of Integration
    1. Apply the following techniques of integration to integrate polynomial, rational, and transcendental functions without use of technology: Power rule, substitution, parts, partial fractions, and algebraic manipulation.
    2. Evaluate definite integrals graphically and with the Fundamental Theorem of Calculus.
    3. Apply the Fundamental Theorem of Calculus to find the derivative of integral functions.
    4. Identify and evaluate improper integrals.
    5. Apply approximation techniques (such as Riemann sums, trapezoidal rule, Simpson’s rule) in order to approximate the value of definite integrals, and evaluate the accuracy of their answer using error formulas or other methods.

    Applications of Integration
    6. Compute the area under a curve and between curves using integration and interpret the solution in the context of the problem.
    7. Compute volumes of solids of revolution and other solids using disc, washer, shell and cross-section integration techniques.
    8. Calculate the length of a curve using integration.
    9. Calculate the average value of a function using integration.
    10. Apply integrals to solve a variety of problems in physics, engineering, economics, chemistry, or biology.

    Differential Equations
    11. Sketch and interpret direction fields.
    12. Match graphical solutions to differential equations.
    13. Solve and sketch solutions to ordinary, first-order differential equations for multiple initial conditions using numerical or graphical techniques.
    14. Solve separable differential equations analytically.

    General Content
    15. Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation, units, and appropriate language.
    16. Solve and analyze application problems that involve concepts covered in this course and in previous courses.
    17. Use technology appropriately as a tool to solve problems.
    18. Link graphical, numeric, and symbolic representations of the integral when interpreting situations and analyzing problems.
  
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    MATH& 153 Calculus III (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Formerly MATH 126 - CCN

    Prerequisite Completion of MATH& 152  with a grade of 2.0 or higher or instructor permission.

    Course Description
    Sequences and series. Vectors and geometry of space. The calculus of vector functions and parametric surfaces. Polar, cylindrical and spherical coordinates.

    Student Outcomes
    The student should be able to:

    Sequences and series component
    1. Determine the terms of a recursively defined sequence.
    2. Estimate the limit of a convergent sequence using graphical and numerical techniques.
    3. Determine the convergence of a sequence and find the exact limit, if it exists.
    4. Determine the convergence of a geometric series and find its sum, if it exists.
    5. Apply the integral, comparison, limit comparison, ratio, and alternating series tests to determine the convergence of a given series.
    6. Use the integral test and alternating series test to bound the error in estimating the sum of a convergent series via a partial sum.
    7. Determine the radius and interval of convergence of a given power series.
    8. Represent appropriate functions as a power series via geometric series and Taylor’s theorem.
    9. Differentiate and integrate power series.
    10. Solve problems in mathematics and/or the sciences via Taylor polynomial representations of a function.
    11. Explore the convergence of series and sequences utilizing an appropriate computer algebra system.


    Vectors component
    12. Determine the distance between points in three dimensional space.
    13. Determine the equation of a sphere centered at a given point and of a given radius.
    14. Determine the magnitude of a vector.

    Dot and cross product component
    15. Interpret the dot product as the work done by a constant force.
    16. Compute the dot product of two vectors.
    17. Determine the angle between two vectors.
    18. Compute the projection of one vector onto another.
    19. Determine the area of the parallelogram spanned by two vectors via the magnitude of the cross product.
    20. Determine the volume of a parallelepiped spanned by three vectors via the magnitude of the scalar triple product.
    21. Interpret the cross product as the torque produced by the moment of a force along an axis.
    22. Compute the cross product of two vectors.
    23. Determine the volume of the parallelepiped spanned by three vectors via the scalar triple product.


    Calculus of vector functions, space curves, and parametric surfaces component
    24. Determine the parametric equation of a line given sufficient information (e.g, a point and a parallel vector, two points).
    25. Determine the scalar equation of a plane given sufficient information (e.g, three points, a point and a normal vector, a point and two non-parallel vectors).
    26. Determine the angle of intersection between two planes.
    27. Use the technique of level curves to sketch the graph of a function of two variables.
    28. Use appropriate computer technology to graph a function of two variables.
    29. Determine the cylindrical and spherical coordinates of a point in three dimensional space.
    30. Determine the Cartesian coordinates of cylindrical and spherical points.
    31. Identify and/or sketch a solid defined by inequalities or equations in cylindrical or spherical coordinates.
    32. Identify the graphs of standard equations (e.g, sphere, paraboloid, cylindrical surfaces, helix).
    33. Sketch the graph of a vector valued function.
    34. Integrate and differentiate vector valued functions.
    35. Determine tangent lines to space curves.
    36. Determine the arc length of a space curve or polar curve.
    37. Determine the area enclosed by a polar curve.


    Applications to physics component
    38. Determine the position, velocity, and acceleration of an object moving along a given trajectory.
    39. Use Newton’s Second Law of Motion to determine the force acting on an object moving radially.
    40. Use Newton’s Second Law of Motion to determine the trajectory of a projectile fired at a given angle and with a given initial velocity.
    41. Solve basic problems in astronomy via the calculus of vector curves (e.g, Kepler’s Laws of Planetary Motion).


    General Content
    42. Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language.
    43. Write clear, coherent, and correct mathematical proofs at a basic level, including construction of counter examples and proof by contradiction.
    44. Link graphical, numeric, and symbolic approaches when interpreting situations and analyzing problems.
  
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    MATH& 163 Calculus 3 (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Prerequisite MATH& 152  with a grade of 2.0 or higher or instructor permission.

    Course Description
    Sequences and series, multi-variable functions and their graphs, vector algebra and vector functions, partial differentiation.

    Student Outcomes
    Sequences and Series
    1. Generate the terms of a sequence from an explicit or recursive equation.
    2. Determine the formulas for simple sequences (geometric, arithmetic, power).
    3. Determine the limit of a sequence, if it exists.
    4. Determine the convergence of simple series (e.g., harmonic series) by comparing to improper integrals.
    5. Explore the convergence of series and sequences using technology.
    6. Determine the convergence of a geometric series and find its sum if it exists.
    7. Determine the radius of convergence of a power series using the ratio test.
    8. Represent appropriate functions via geometric series and Taylor series.
    9. Differentiate and integrate power series.

    Vectors
    10. Determine the distance between points in three dimensional space.
    11. Determine the equation of a sphere centered at a given point and of a given radius.
    12. Determine the magnitude of a vector.
    13. Perform basic computations with vectors numerically and graphically.
    14. Compute the dot product of two vectors.
    15. Determine the angle between two vectors.
    16. Compute the projection of one vector onto another.
    17. Compute the cross product of two vectors.
    18. Determine the area of the parallelogram spanned by two vectors via the magnitude of the cross product.

    Vector Functions and Space Curves
    19. Determine the parametric equation of a line given sufficient information (e.g., a point and a parallel vector, two points).
    20. Determine the scalar equation of a plane given sufficient information (e.g., three points, a point and a normal vector, a point and two non-parallel vectors).
    21. Sketch the graph of a vector valued function (parameterized curve).
    22. Identify the graphs of standard space curves (e.g., line, parabola, circle, helix).
    23. Integrate and differentiate vector valued functions.
    24. Determine tangent lines to space curves.
    25. Determine the arc length of a space curve.

    Functions of Several Variables and 3D Surfaces
    26. Evaluate functions of several variables numerically, graphically, and symbolically.
    27. Use the technique of level curves to sketch the graph of a function of two variables.
    28. Graph functions of several variables utilizing technology as appropriate.
    29. Identify the graphs of standard surfaces (e.g., sphere, paraboloid, ellipsoid, cylindrical surfaces).
    30. Compute limits of functions of several variables.
    31. Determine the domain and continuity of a function of several variables.

    Partial Derivatives
    32. Utilize the definition of the partial derivative of a function of several variables to solve rate of change problems.
    33. Compute partial derivatives symbolically utilizing the basic techniques from single variable calculus.
    34. Determine implicit and parametric equations for the tangent plane to a surface that is defined by the graph of a function.
    35. Compute partial derivatives via the chain rule and through implicit differentiation.
    36. Apply directional derivatives to solve rate of change problems in arbitrary directions. Determine the direction of maximal and minimal change of a function of several variables.
    37. Apply techniques of partial derivatives to solve problems in the sciences and engineering.

    General Content
    38. Solve application problems in the sciences, including determining position, velocity, and acceleration of an object moving along a given trajectory.
    39. Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language.
    40. Link graphical, numeric, and symbolic approaches when interpreting situations and analyzing problems.
  
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    MATH& 264 Calculus 4 (5 credits)



    Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
    Prerequisite Completion of MATH& 163  with a grade of 2.0 or higher or instructor permission.

    Course Description
    Multivariable optimization, multiple integrals, vector fields, line and surface integrals, divergence and curl, Stokes’ Theorem, Green’s Theorem, Divergence Theorem.

    Student Outcomes
    Coordinate Systems
    1. Determine the arc length of a polar curve.
    2. Determine the area enclosed by a polar curve.
    3. Convert a point in three dimensional space from Cartesian coordinates to cylindrical and spherical coordinates and vice versa.
    4. Identify and/or sketch a solid defined by inequalities or equations in cylindrical or spherical coordinates.

    Applications of Partial Derivatives
    5. Utilize the definition of the partial derivative of a function of several variables to solve rate of change problems.
    6. Compute partial derivatives symbolically utilizing the basic techniques from single variable calculus.
    7. Locate and test extrema using the Second Derivative Test.
    8. Utilize Lagrange multipliers to optimize functions of several variables given one or more constraints.
    9. Apply techniques of partial derivatives to solve problems in the sciences and engineering.

    Multiple Integrals
    10. Construct the double integral of a function of two variables as the limit of a Riemann sum.
    11. Compute double integrals of functions of two variables over rectangular regions by identifying the relevant solid and computing its volume.
    12. Compute multiple integrals over general regions whose boundaries are parameterized by curves or surfaces, utilizing the basic techniques from single variable calculus.
    13. Compute double and triple integrals in polar, cylindrical, and spherical coordinates.
    14. Compute the surface area of a parameterized surface via a double integral.
    15. Describe and construct basic transformations and compute their Jacobians.
    16. Apply the Change of Variables theorem to compute multiple integrals.
    17. Apply techniques of multiple integrals to solve problems in the sciences and engineering.

    Vector Calculus
    18. Draw vector fields in two and three dimensions.
    19. Qualitatively determine characteristics of vector fields, including periodic orbits and singularities.
    20. Compute the line integral of a function and of a vector field along a parametrized curve.
    21. Determine the work done by a force field in moving a mass-less particle along a parameterized trajectory.
    22. Determine whether a vector field is conservative or not and construct a potential if one exists.
    23. Apply the Fundamental Theorem of Line Integrals.
    24. Apply Green’s theorem to line integrals around closed paths.
    25. Compute the curl of a vector field and describe its implications.
    26. Construct and compute surface integrals of vector fields.
    27. Determine the net rate of flow of a fluid through a parameterized membrane.
    28. Use Stokes’ theorem to compute surface and triple integrals.
    29. Compute the divergence of a vector field and apply the divergence theorem to compute surface and triple integrals.
    30. Apply techniques of vector analysis to solve problems in the sciences and engineering.

    General Content
    31. Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language.
    32. Utilize computer algebra and graphical systems to solve problems, visualize abstract concepts, and model physical problems, as appropriate.
  
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    MATHC 098 Intermediate Algebra for Precalculus Corequisite 2 credits



    Prerequisite MATH 077  or placement.

    Course Description
    This is a support class that is attached to a corequisite MATH 98 class for students who have not met the MATH 98 prerequisites.  Topics to be covered are those prerequisite skills necessary to learn the content of MATH 98, such as arithmetic with real numbers, order of operations, algebraic expressions, slope-intercept form of a linear equation, solving equations, graphing, exponents and radicals and skills for academic success.

    Student Outcomes
    Apply operations, arithmetic properties, and laws of exponents to simplify and evaluate algebraic expressions; and the properties of equality to solve linear, polynomial, rational and radical equations.
    Graph linear, polynomial, rational and radical functions.
    Employ strategies and study skills to comprehend, apply, and retain mathematical learning.
  
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    MATHC 107 Math in Society Corequisite 2 credits



    Prerequisite MATH 077  or by placement.

    Course Description
    This is a support class that is attached to a corequisite MATH& 107 class for students who have not met the MATH& 107 prerequisites.  Topics to be covered are those prerequisite skills necessary to learn the content of MATH& 107, such as numeracy, proportional reasoning, equations/formulas, graphs and skills for academic success.

    Student Outcomes
    Use numeracy, proportional reasoning and equations/formulas to solve financial, statistical and other complex problems.
    Use graphs to interpret, predict and analyze data and models.
    Employ strategies and study skills to comprehend, apply, and retain mathematical learning.
  
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    MATHC 111 College Math for Early Childhood Edu Corequisite 2 credits



    Prerequisite MATH 077  or placement.

    Course Description
    This is a support class that is attached to a corequisite MATH 111 class for students who have not met the MATH 111 prerequisites.  Topics to be covered are those prerequisite skills necessary to learn the content of MATH 111, such as numeracy, proportional reasoning, equations/formulas, graphs and skills for academic success.

    Student Outcomes
    1. Use numeracy and proportional reasoning for learning methods of teaching and using number systems, statistics, probability, patterns and sequences.
    2. Use expressions/equations/formulas and graphs in algebraic expressions and functions.
    3. Employ strategies and study skills to comprehend, apply, and retain mathematical learning.
  
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    MATHC 131 Math for Elem Educ 1 Corequisite 2



    Prerequisite MATH 077  or placement.

    Course Description
    This is a support class that is attached to a corequisite MATH& 131 class for students who have not met the MATH& 131 prerequisites. Topics to be covered are those prerequisite skills necessary to learn the content of MATH& 131, such as numeracy, proportional reasoning, equations/formulas, graphs and skills for academic success.

    Student Outcomes
    Use numeracy and proportional reasoning for learning methods of teaching about number systems and mathematical communication.
    Use expressions/equations/formulas and graphs to learn methods of teaching about algebraic expressions and functions.
    Employ strategies and study skills to comprehend, apply, and retain mathematical learning.
  
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    MATHC 141 Precalculus I Corequisite 2 credits



    Prerequisite Satisfactory placement into MATH 098 , completion of MATH 060  or MATH 096  with a grade of at least 2.0, or instructor permission.

    Course Description
    This is a support class that is attached to a corequisite MATH& 141 class for students who have not met the MATH& 141 prerequisites. Topics to be covered are those prerequisite skills necessary to learn the content of MATH& 141, such as order of operations, algebraic expressions, solving equations and inequalities, graphing, functions, linear functions and graphs, graphing calculators, and skills for academic success.

    Student Outcomes
    1. Apply mathematical operations to simplify, evaluate and solve linear, quadratic, polynomial, rational, exponential, logarithmic, absolute value, and square root functions.
    2. Use equations, tables, and graphs to represent relationships between variables and model real-world scenarios.
    3. Use technology to visualize, evaluate and solve linear, quadratic, polynomial, rational, exponential, logarithmic, absolute value, and square root functions.
    4. Employ strategies and study skills to comprehend, apply and retain mathematical learning.
  
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    MATHC 146 Introduction to Statistics Lab (2 credits)



    Course Description
    This is a support class that is attached to a corequisite MATH& 146 class for students who have not met the MATH& 146 prerequisites. Topics to be covered are those prerequisite skills necessary to learn the content of MATH& 146, such as numeracy, proportional reasoning, equations/formulas, inequalities, graphs and skills for academic success.

    Student Outcomes
    1. Demonstrate the ability to compare the magnitude of real numbers when testing hypotheses.
    2. Use proportions to analyze real-world data.
    3. Demonstrate the ability to evaluate a variety of statistical equations and formulas.
    4. Utilize inequalities to create histograms, analyze probabilities, and test hypotheses.
    5. Use graphing skills to display data in an appropriate form.
    6. Utilize study skills to comprehend, retain, and apply class content.
    7. Employ time management techniques, test-taking strategies, a growth mindset, and resourcefulness to achieve academic success.
    8. Apply reading strategies such as Reading Apprenticeship to analyze contextualized problems in Statistics.
    9. Engage with peers and the course instructor to build relationships and develop community.
  
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    MATHC 147 Business Precalculus Corequisite (2 credits)



    Course Description
    This is a support class that is attached to a corequisite MATH 147 class for students who have not met the MATH 147 prerequisites. Topics to be covered are those prerequisite skills necessary to learn the content of MATH 147, such as order of operations, algebraic expressions, solving equations and inequalities, graphing, functions, linear functions and graphs, graphing calculators, and skills for academic success.

    Student Outcomes
    Apply mathematical operations to simplify, evaluate and solve linear, quadratic, polynomial, rational, exponential, logarithmic, absolute value, and square root functions.
    Use equations, tables, and graphs to represent relationships between variables and model real-world scenarios. 
    Use technology to visualize, evaluate and solve linear, quadratic, polynomial, rational, exponential, logarithmic, absolute value, and square root functions.
    Employ strategies and study skills to comprehend, apply and retain mathematical learning.
  
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    MNGT 130 Customer Relationship Management (5 credits)



    Course Description
    Introduction to customer relationship management. Topics include customer behavior, customer assessment, effective communication, serving the customer in a diverse environment, and developing and maintaining a relationship with customers.

    Student Outcomes
    1. Employ customer- focused behavior including appropriate greeting, active listening, and questioning to uncover needs. Develop and utilize creative solutions and proactive problem-solving/ decision making to meet customer needs.
    2. Analyze and explain the various elements of a customer service culture including the following: service philosophy, organizational mission, policies and procedures, customer feedback techniques, employee behavior, roles and expectations.
    3. Develop and apply strategies for communicating with different behavioral and personality styles.
    4. Identify and apply appropriate telephone customer service skills including answering the phone, transferring the customer, using call waiting and voice mail, and following up with customers.
    5. Develop and apply strategies for handling difficult customers’ encounters including dissatisfied, indecisive, angry, demanding, rude, and talkative customers.
    6. List and apply cultural factors that impact customer service in a diverse business environment.
    7. Develop an action plan for service recovery following a breakdown in quality, quantity, or type of product service delivered.
    8. Design and evaluate market research tied to customer service. Analyze and present results in a professional manner.
  
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    MNGT 136 Web Usability & E-Commerce (5 credits)



    Prerequisite BUS 135  with at least a 2.0 grade.

    Course Description
    Students will explore the concepts of website usability, create a foundation in user-centered design, information visualization, and concepts of interactive design and understand the role of users, business and technology. They will study the evolution of usability, map out the design process and consider design concepts such as navigation, presentation, etc. Students will also identify and explore methods and tools typically used by businesses to test and analyze website usability and online user behavior.

    Student Outcomes
    1. Investigate user-centered design principles and apply appropriate strategies and techniques to maximize user experience on web pages and e-commerce sites.
    2. Use industry standard tools, applications and strategies to test, measure and analyze website usability, online user behavior and information design effectiveness.
    3. Design and evaluate wireframe models of websites and e-commerce applications for maximum user interaction, accessibility, and satisfaction.
    4. Research and discuss knowledge, skills and abilities required for professional positions in the fields of user-centered design, website usability and e-commerce user experience for business.
  
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    MNGT 137 Independent Contracting (3 credits)



    Course Description
    An introduction to running one’s own business. Students will explore the techniques and responsibilities for successfully managing an independent career.

    Student Outcomes
    1. Identify a legal business format to use and support decision.
    2. Explain requirements for setting up basic bookkeeping, including taxes, expenses and purchases.
    3. Review contracts for critical points, such as payment schedule, delivery requirements, rights and responsibilities, and propose reasonable amendments.
    4. Create a time management plan that includes effective amounts of time for completing professional activities and business operations.
    5. Analyze own strengths, weaknesses, opportunities and threats (SWOT) to improve marketability.
    6. Create a marketing plan of action, including networking and social media.
    7. Create a written viable business plan using external research.
  
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    MNGT 138 Information Design for Business (5 credits)



    Prerequisite BUS 135  with a grade of 2.0 or greater or instructor permission.

    Course Description
    Students will explore techniques and strategies for effective technical writing and writing for the web. They will learn the basic principles of information design for business and marketing and analyze how users read and process information on the web.

    Student Outcomes
    1. Use web, multi-media, graphic design and image design tools to develop web-based business and marketing content that results in an engaging and effective user experience.
    2. Develop and analyze targeted business and marketing content strategies that meet expectations of specific user audiences and integrate best practices in information design.
    3. Research and discuss knowledge, skills and abilities required for professional positions in the fields of business information design and user experience for the web and social media.
    4. Identify what makes video and podcasting mediums effective for digital marketing.
  
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    MNGT 139 Social Media Digital Content for Business (5 credits)



    Prerequisite BUS 135  with at least a 2.0 grade. 

    Course Description
    Students will explore the creation of effective and engaging digital content including the tools, strategies, and characteristics required to help consumers take action. They will look at the advantages and constraints of different types of communication mediums, and issues of ownership and copyright. They will explore software applications and apply fundamental graphic and information design principles to create effective marketing content. They will create a marketing portfolio.

    Student Outcomes
    1. Produce effective and appropriate marketing content for both print and web mediums.
    2. Research and discuss knowledge, skills, and abilities required for professional positions in the fields of social media content and digital content creation.
    3. Plan and develop effective and engaging digital content for business that is appropriate for distribution on multiple social media platforms.
    4. Evaluate and propose strategies for delivering effective marketing messages and business content for the web and social media channels.
  
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    MNGT 141 Professional Portfolio (3 credits)



    Prerequisite BUS 134  and MNGT 138  with at least a 2.0 grade in each of these classes, and 15 credits minimum of completed college-level credits or a certificate or instructor permission.

    Course Description
    This course is a marketing portfolio creation experience. Students will choose a portfolio platform and assemble and present a broad-based selection of significant student work for evaluation by the instructor, peers, and industry experts.

    Student Outcomes
    1. Assemble a broad-based selection of significant work examples and present it publicly in a digital portfolio format.
    2. Create a professional career video or multimedia presentation that demonstrates knowledge, skills and abilities developed in a college program of study.
    3. Communicate an effective personal brand based on core values and professional best practices to an appropriate audience in a student’s chosen career or industry.
  
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    MNGT 182 Creative Sales and Customer Relationship Management (5 credits)



    Course Description
    In the workplace today, we need to know how to meet/exceed internal and external customer expectations and engage in the selling process. This course gives students the tools for successful workplace customer engagement leading to customer loyalty. It also trains the selling process which is used to sell products, services, and ideas.

    Student Outcomes
    1. Identify and apply the various elements of the sales process including pre-approach, prospecting, approaching, recognizing the problem, the presentation, handling objections, closing the sale, and following up with the customer.
    2. Analyze and explain the various elements of a customer service culture including the following: service philosophy; organizational mission, policies, and procedures; customer feedback techniques; employee behavior, roles, and expectations.
    3. Develop and apply strategies for communicating across cultures with different behavioral and personality styles.
    4. Develop and apply strategies for handling difficult customer encounters including dissatisfied, indecisive, angry, demanding, rude, and talkative customers.
    5. Develop and deliver effective professional oral presentations.
    6. Develop a manual that demonstrates effective sales and customer service principles.
    7. Explain basic ethical standards in a professional environment.
  
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    MNGT 186 Professional Development (3 credits)



    Course Description
    Develop practical skills and techniques for the world of professional employment. Students will learn strategies to increase workplace effectiveness.

    Student Outcomes
    1. Students will construct a competitive resume, cover letter, reference sheet, and application in order to effectively describe their skills and experience and be optimally positioned to achieve their career goals.
    2. Students will strategically expand their professional networks through a variety of methods (personal contacts, course connections, social media, etc.), evaluating each method for impact and potential.
    3. Students will demonstrate professionalism in work quality and on-time performance.
    4. Students will construct and execute personal action plans that outline the steps needed to improve workplace skills.
    5. Students will develop education, career path, and professionalism action plans that include SMART goals.
    6. Students will create a portfolio that demonstrates skill sets to perspective employers and use tools to share the portfolio using current technology.
  
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    MNGT 275 Introduction to Visual Promotion (5 credits)



    Course Description
    Provides the student with a working knowledge of planning, creating, and implementing visual promotion including advertising, print media, visual display, and special promotions.

    Student Outcomes
    1. Analyze and explain social and ethical concerns with traditional and new media.
    2. Use appropriate vocabulary of visual display and promotion while explaining interrelationships of promotional components including web design, social media, advertising campaigns, special promotions, visual displays, and printed materials.
    3. Identify and demonstrate the use of the elements and principles of design in visual promotion.
    4. Identify and explain various target markets for specific products or services including analysis of business image as it relates to customer attraction and sales promotions in order to demonstrate knowledge of a cohesive visual promotion plan.
    5. Develop promotional plans using promotional components including: branding, budgeting, marketing, and cooperative advertising for specifically identified business structures and target markets.
    6. Design and produce visual materials for a promotional press kit including development of logo, letterhead, business card, print advertising, direct mail brochure, special promotion items, media kit, and online presence plan.
  
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    MNGT 276 Employment Law: Human Resource Legal Issues (5 credits)



    Prerequisite A grade of 2.0 or greater in ENGL& 101 .

    Course Description
    Overview of major common employment-related laws, workplace legal issues, statutory, and regulatory concepts governing the employment relationship, and development of skills supporting legal actions pertaining to that relationship.

    Student Outcomes
    1. Use common law concepts to explain:
    a. under what circumstances employment relationships begin
    b. the torts most often accompanying those relationships, and
    c. how those relationships typically terminate under both tort and contract law.
    2. Identify the major federal and state administrative agencies regulating employment, delineating:
    a. their authority to regulate employment,
    b. the processes they use in performing those regulatory functions, and
    c. the offices and officials within those agencies who interact with outside entities in order to resolve employment-related matters.
    3. Discuss and explain major federal and state statutes of conditions of employment, together with related regulations, as applied by the courts regarding :
    a. discrimination based on a variety of cultural traits, such as gender, age, race, religion, national origin, and ability, and including sexual harassment and affirmative action
    b. safety, including payment to workers for job-related injuries, and
    c. compensation and public policy issues, such as overtime and child labor.
    4. Analyze significant federal and state statutes, together with related regulations, as applied by the courts to the establishment and administration of retirement trusts.
    5. Examine major federal and state statutes, together with related regulations, as applied by the courts to the labor-management relationship, including the establishment and operation of unions and the negotiation and administration of collectively bargained agreements.
    6. Demonstrate, relative to initiating, maintaining, and defending against legal actions pertaining to employment matters, the ability to:
    a. gather and organize relevant, reliable information, and
    b. prepare the forms typically required.
  
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    MNGT 282 Principles of Marketing (5 credits)



    Course Description
    A study of the business activities concerned with the flow of goods and services from producers to consumers.

    Student Outcomes
    1. Demonstrate an understanding of what marketing is, what constitutes a marketing plan, and an understanding of the marketing concept.
    2. Conduct research to develop a marketing strategy. The research will consider such issues as demand, competition, environmental climate, resources, distribution factors, ethical standards, and political and legal constraints.
    3. Develop a written marketing plan, as a result of research, that employs an effective and viable marketing strategy.
    4. Describe, explain and present the marketing strategy.
    5. Prepare a written critique of the marketing plan that identifies strengths as well as opportunities for improvement.
  
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    MNGT 283 Principles of Management (5 credits)



    Course Description
    Principles and practices of management as applied to for-profit and not-for-profit organizations. Real world scenarios in business are used to help the student apply principles to contemporary management problems.

    Student Outcomes
    1. Describe management as a process and illustrate what managers do, how they do it, and the tools and techniques utilized in order to effectively utilize management processes.
    2. Explain the role of mission statements, policies, procedures, codes of ethics, codes of conduct within an organization and how they impact managers in order to appropriate utilize each in the workplace.
    3. Engage as a manager including setting goals/objectives, organizing resources, making decisions, delegating, motivating, measuring results, and giving/receiving feedback in order to develop individual managerial skill sets.
    4. Understand and appreciate human differences while managing a project or process in order to facilitate team development.
    5. Describe the dynamics of change, change theory and accurately discuss how a manager would successfully implement change within a team or organization in order to facilitate change in the workplace.
    6. Discuss why Codes of Ethics are important and identify actions that are ethical and benefit the organization, stakeholders and community.
    7. Research and identify reasons diversity is beneficial in the workplace.
    8. Understand and apply practices resulting in meetings that are effective and efficient use of resources.
  
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    MNGT 284 Small Business Planning (5 credits)



    Prerequisite A grade of 2.0 or greater in ENGL& 101  and MNGT 282 ; a grade of 2.0 or greater in ECON 110  or ECON& 201 ; a grade of 2.0 or greater in ACCT& 201  or ACCT 101 ; or instructor permission.

    Course Description
    Planning and organizing a small business to include developing a preliminary business plan.

    Student Outcomes
    1. Identify and explain the advantages and disadvantages of small business ownership.
    2. Develop a preliminary business plan including business description, product strategy, legal requirements, market analysis, marketing plan, management team, organizational structure, and financial plan.
    3. Research a small business opportunity using a variety of information sources.
    4. Identify various elements that distinguish a successful business plan from an unsuccessful business plan including professional presentation, comprehensive approach to organizational factors, accurate data, and funding contingencies.
    5. Describe the interdependent relationship of various business functions related to small business including marketing, finance, human resources, and business operations.
  
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    MNGT 289 Work Based Learning (3 credits)



    Course Description
    Students will pursue an organized career path plan by obtaining work experience in their chosen field.

    Student Outcomes
    1. Students will obtain 90 hours of work experience in their field of interest through volunteering, job shadowing, interning, and/or agreeing to be evaluated by their current supervisor.
    2. Students will set workplace learning objectives, develop a plan for accomplishing these objectives, document the learning process, and assess their success in reaching the objectives.
    3. Students will write a career path plan communicating where they want to be in their careers five years in the future and the steps they will take to make it happen.
  
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    MNGT 293 Retailing & Merchandising (5 credits)



    Course Description
    Fundamentals of retail buying and the management of retail inventories. Topics included are important for the contemporary online and offline merchant who is responsible for space productivity, inventory turnover, and profitability.

    Student Outcomes
    1. Explain the various channels throughout the merchandise supply chain structure.
    2. Perform retail sales computations required of the retail sales environment.
    3. Compare and contrast the different sales formats and ownership options of retail operations.
    4. Analyze interrelationships within the online and offline retail environments considering: business location, traffic patterns, customer demographics, sales volumes, inventory management, and advertising in order to evaluate business models.
    5. Develop and apply productivity measures in order to evaluate merchandising objectives within retail environments including: turnover, stock-to-sales ratios, inventory planning, sales pro forma, space management, and seasonal and promotional opportunities.
    6. Create a hierarchy associated with each retail employee function including basic safety and legal issues related to retail situations.
  
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    MNGT 294 Leading Teams Through Innovation and Change (5 credits)



    Course Description
    Students will develop skill sets needed for leading teams and organization through uncertainty – the norm of today’s business environment. These skill sets are relevant for leaders in project, entrepreneurship, and intrapreneurship settings.

    Student Outcomes
    1. Explain and apply leadership principles to effectively meet organizational goals.
    2. Describe and analyze how emotional intelligence impacts leadership effectiveness.
    3. Describe and analyze how power dynamics, organizational politics affect organizational growth.
    4. Apply and analyze organizational learning strategies to improve organizational performance.
    5. Describe and apply effective negotiation strategies to ethically meet organizational goals.
    6. Apply conflict management and negotiation techniques to solve organizational challenges.
    7. Apply and analyze team building, operation, and behavior strategies and factors that influence team effectiveness.
    8. Apply and analyze cross-functional and cross-cultural communication strategies to facilitate effective team development.
    9. Apply and analyze effective coaching and team development strategies through innovation and change.
    10. Apply critical and innovative thinking skills to improve decision-making processes within teams and across organizations to meet organizational goals.
  
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    MNGT 295 Human Resource Management (5 credits)



    Course Description
    Principles, methods, and procedures in human resource management including job analysis, description and classification, employee morale and motivation, labor turnover, selection and placement, rating and promotion, and compensation in conjunction with current government regulations.

    Student Outcomes
    1. Identify and describe human resource departmental duties and responsibilities including job analysis, auditing, job design, job description, job specifications, needs analysis, job evaluation, flow chart of a recruitment/selection, and affirmative action best practices.
    2. Analyze current employment discrimination laws, identify factors impeding equal employment and develop a plan for minimizing the impact of these factors within an organization.
    3. Develop training and development plans for a new or under-producing employee.
    4. Compare an organization’s safety and health standards against OSHA and WISHA standards.
    5. Explain the advantages and disadvantages to unionization, identify determinants in union-management relations, and describe a method of reducing labor relations problems.
    6. Analyze an actual performance appraisal system and make recommendations for improvement.
    7. Compare various means of compensation, including incentives and benefits and evaluate how compensation is used to attract and retain employees.
  
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    MNGT 296 Current Trends in Human Resources (5 credits)



    Prerequisite MNGT 295  with at least a 2.0 grade.

    Course Description
    Explores current human resource issues including local, state, and federal labor laws; effective recruitment and selection techniques using behaviorally-anchored structured interview format; training and development strategies using competency-based individual development plans; 360-degree performance review; and how to write employee policy manuals and job descriptions.

    Student Outcomes
    1. Assess issues related to current local, state, and federal labor laws impacting profit, not-for-profit, and government organizations.
    2. Write and facilitate a behaviorally-anchored structured job interview.
    3. Participate in a mock behaviorally-anchored structured job interview as (1) interviewer and (2) applicant.
    4. Assess a position in an organization to define the “soft skills” competencies essential to success in the position.
    5. Design a process and describe accountability standards for successful implementation of individual development plans in organizations.
    6. Write an ADA/EEOC compliant mock employee policy manual containing, at a minimum, a sexual harassment policy, a substance abuse policy, and a policy regarding the employer’s treatment of employees and applicants with disabilities.
    7. Write two mock ADA/EEOC compliant job descriptions, one for an exempt position and one for a non-exempt position.
    8. Prepare a comprehensive training curriculum outline (e.g., for an orientation training program).
    9. Prepare comprehensive questions for, and interview with, a human resources manager to ascertain relevancy and consistency of course content with “real-world” experiences.
  
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    MNGT 298 Work Based Learning (3 credits)



    Prerequisite A grade of 2.0 or greater in MNGT 186  or instructor approval.

    Course Description
    Students will pursue an organized career path plan by obtaining work experience in their chosen field.

    Student Outcomes
    1. Students will obtain 90 hours of work experience in their field of interest through volunteering, job shadowing, interning, and/or agreeing to be evaluated by their current supervisor.
    2. Students will set workplace learning objectives, develop a plan for accomplishing these objectives, document the learning process, and assess their success in reaching the objectives.
    3. Students will write a career path plan communicating where they want to be in their careers five years in the future and the steps they will take to make it happen.
  
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    MNGT 310 Systems Theory and Applied Business Management (5 credits)



    Prerequisite At least a junior standing in a baccalaureate program.

    Course Description
    This course explores systems theory and its multidisciplinary applications in modern-day management, leadership, and organizational processes and contrasts these to other theoretical orientations. Students will learn the interrelated nature of planning, organizing, directing, and controlling functions of management.

    Student Outcomes
    1. Apply systems theory in management functions.
    2. Analyze the strengths and weaknesses of systems theory in creating a more inclusive decision-making environment.
    3. Compare and contrast systems theory and other theories across various management styles and to day-to-day operational decision making.
    4. Identify a persistent management problem related to issues (such as ethics, law, demographics, automation, or globalization) and apply systems theory to solve the problem.
    5. Using systems theory, evaluate an organization’s hiring, customer service, or marketing practice; and, provide a framework for integrating systems and critical thinking into a managerial decision-making processes.
  
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    MNGT 330 Adaptive Leadership and Organizational Learning (5 credits)



    Prerequisite At least a junior standing in a baccalaureate program.

    Course Description
    This course explores adaptive leadership strategies that mobilize and support diverse teams to work collaboratively, inclusively, and respectfully in order to bring about genuine trust and desired outcomes in the processes and products of their work.

    Student Outcomes
    Analyze management and leadership styles and how these impact organizational behavior and effectiveness.
    Apply systems theory and adaptive leadership in fostering learning organizations.
    Evaluate ethical considerations to inform organizational behavior and actions.
    Analyze the role of socio-emotional intelligence and cultural awareness in effective leadership.
    Analyze challenges of effective organizational communication as sources of conflict, resolution, and development.
    Develop a leadership response that increases organizational capacity to solve complex and systemic problems.
    Evaluate leadership, management, power, influence, authority, and role of organizational learning in meeting organizational goals.
  
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    MNGT 350 Applied Human Resource Development (5 credits)



    Prerequisite At least a junior standing in a baccalaureate program.

    Course Description
    This course provides students with fundamentals of human resource development, especially in the context of industry trends and demographic shifts. It examines the strategic role of the human resource department and the development of organizational strategic planning as well as day-to-day operations. Topics are discussed in the context of legal, ethical, political, and cultural considerations.

    Student Outcomes
    1. Explain national and international labor movements and their impact on business operations.
    2. Describe various human behaviors in organizations and explain the role of management strategies, including motivational theory, to influence individual and organization behavior.
    3. Explain factors for effective and ineffective human resource management practices, especially in the context of cultural complexity.
    4. Apply effective teamwork, leadership, and motivational strategies to diverse organizational settings and evaluate results.
    5. Apply systems theory and economic concepts to analyze managerial considerations in human resource development – especially as they relate to the global economy.
    6. Use analytical tools to assess and evaluate employee benefits concepts and plans in the context of administrative and compliance considerations.
    7. Identify a training need for a local organization of substantial size; design a training program using systems theory and human resource development theory; evaluate strengths and weaknesses.
  
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    MNGT 410 Business Strategy and Decision-Making (5 credits)



    Prerequisite At least a junior standing in a baccalaureate program, college-level math with 2.0 grade or better.

    Course Description
    Businesses face complex problems in our globalized, digital, and diverse world. Some have short-term implications, while others have long-term impacts. It is often difficult to ascertain the degree to which a decision today will determine outcomes long after the decision was made. This course uses systems theory as a framework through which business decisions and strategies are understood. Students will then learn to apply systems thinking and analytical tools to diagnose strategic positions from multiple vantage points, evaluate alternative courses of action, and make criteria-based decisions.

    Student Outcomes
    1. Use systems theory to analyze organizational decisions with multiple objectives and uncertainties.
    2. Analyze business models and how these affect business functions.
    3. Analyze ethical and legal problems within business situations, choose a resolution, and defend that ethical choice.
    4. Analyze corporate strategies within global, digital, and cultural contexts.
    5. Analyze and evaluate strategic objectives, evaluate trade-offs, uncertainties, and risks.
    6. Evaluate business performance and choose high-value strategic options against known criteria.
    7. Use mathematical and analytical tools to compute decision-making factors.
    8. Explain the role of systematic cognitive biases and traps that operate on individuals and groups and adopt strategies to overcome them.
    9. Create and evaluate a decision-making process to solve a problem that is difficult to solve due to lack of time or data, limited resources, or level of complexity.
  
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    MNGT 420 Marketing for Managers (5 credits)



    Prerequisite At least a junior standing in a baccalaureate program, ECON& 201 , ECON& 202 , and ACCT& 202  with at least a 2.0 grade in each of these classes, college-level math.

    Course Description
    This course prepares marketers to have the skills and knowledge to create marketing plans and deploy marketing communication strategies to effectively communicate, create, and capture value for their organization. It uses systems theory and analytical tools to capture patterns, understand relationships among market variables, and ensure customer-centric performance. A special section on social media explores ethics in modern-day marketing. Students will use a simulation software to explore dynamism of domestic and global markets as well as to examine complexities of capturing value within and across markets.

    Student Outcomes
    1. Apply systems theory in describing the dynamic nature of a marketing phenomenon.
    2. Analyze legal and ethical considerations and expectations in the marketplace with special considerations of manifestations in social media platforms.
    3. Apply various analytical tools to assess marketing variables that inform marketing decisions.
    4. Evaluate marketing concepts in the context of changing environmental conditions, consumer preferences, market opportunities, and changing demographics.
    5. Compute various marketing costs and returns on investment, lifetime customer value, and other marketing metrics and evaluate viability of marketing proposals.
    6. Create a marketing plan that communicates, captures, and creates value for a target market.
    7. Evaluate successful and failed marketing plans and analyze contributing factors.
  
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    MNGT 430 Applied Accounting for Managers (5 credits)



    Prerequisite At least a junior standing in a baccalaureate program, ACCT& 201 , ACCT& 202 , and college-level Math with 2.0 grade or better.

    Course Description
    This course examines accounting practices and how they are used to help managers make good business decisions.

    Student Outcomes
    1. Develop current and prospective managerial financial statements.
    2. Analyze managerial financial results and provide recommendations for planning and improvement.
    3. Demonstrate costing and cost-analysis techniques in both manufacturing and service industries.
    4. Analyze the relationship between financial and non-financial information in managerial decision-making.
    5. Analyze and evaluate significance of capital investment decisions in order to determine their long-term profitability.
    6. Clearly and concisely communicate relevant financial and non-financial information so that decision makers can make informed decisions.
    7. Identify ethical accounting issues and apply principles of ethics and civic responsibility to maintain professional and organizational integrity as well as legal compliance.
    8. Apply managerial accounting techniques and analytical tools in the business decision-making process with attention to short- and long-term financial planning and controlling implications.
    9. Conduct a financial analysis of a publicly traded company.
  
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    MNGT 450 Operations and Logistics for Managers (5 credits)



    Prerequisite At least a junior standing in a baccalaureate program, college-level Math with 2.0 grade or better.

    Course Description
    This course surveys the fundamentals of the movement, storage, and management of goods. It integrates strategic leadership, project management, financial management concepts, and analytical tools for decision-making purposes.

    Student Outcomes
    1. Using systems theory, explain the role of operations and logistics for an organization.
    2. Identify and resolve ethical dilemmas that might occur in operations and logistics.
    3. Apply tools and techniques to plan, execute, and improve the supply chain.
    4. Analyze the manufacturing operations of a firm and their effect on managerial decision-making.
    5. Using systems theory, apply quality management tools for process improvement.
    6. Apply logistics and purchasing concepts to improve supply chain operations.
    7. Explain and analyze control systems used in operations management in various contexts.
    8. Apply mathematical concepts and analytical tools to calculate metrics for efficient operations and supply chain management.
    9. Apply quantitative and qualitative methods to solve typical make/buy and outsourcing problems.
  
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    MNGT 460 Applied Financial Management (5 credits)



    Prerequisite At least a junior standing in a baccalaureate program, a grade of 2.0 or greater in college-level math and ACCT& 202 .

    Course Description
    This course covers topics in investments and the role of financial decisions at the organizational level. It demystifies financial markets and provides practical knowledge for solving problems and making financial decisions. Case studies, financial documents, and scenarios are primary sources for examining financial management problems and their solutions.

    Student Outcomes
    1. Using systems theory, explain financial markets and the role of financial institutions within and across economic systems.
    2. Describe investments and securities markets (e.g., bonds, equities, derivatives, portfolio theory and risks) and their role in organizational finance.
    3. Explain time value of money, sustainable finance, municipal markets, and quantitative risk management.
    4. Use mathematical, statistical, and other analytical tools to assess business activities and solve financial problems.
    5. Use systems theory to explain complexities of financial decisions and long-term financial commitments – critical components of business success or failure.
    6. Analyze role of competition, technological changes, inflation, interest rates, taxation, foreign exchange rates, global economic uncertainty, and other factors on organizational decision-making.
    7. Apply basic financial management principles in risk management to make sound financial decisions.
    8. Analyze financial scenarios and evaluate possible outcomes.
  
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    MNGT 470 Business Development and Negotiations (5 credits)



    Prerequisite At least a junior standing in a baccalaureate program.

    Course Description
    This course prepares students to adopt an innovative mindset; to recognize, refine, and define value; to find the right partners; and to sell their ideas. Students will develop ethical negotiation and influence-based skills to help progress their ideas and careers.

    Student Outcomes
    1. Identify and analyze problems worth solving.
    2. Apply marketability strategies (oral, written, visual, etc.) and tools (analytics, applications, social media, etc.) to sell ideas.
    3. Apply ethical communication strategies to mobilize people and resources.
    4. Assess market opportunities for the purpose of creating, communicating, and capturing value across diverse stakeholders.
    5. Use ethical negotiation and persuasion principles to achieve personal and organizational objectives.
    6. Demonstrate how and when to make concessions and to avoid self-inflicted negotiation mistakes.
    7. Analyze the role collaborative negotiations play in business relationships.
    8. Develop and evaluate strategies to build endurance, foster authentic confidence, and sustain partnerships over time.
    9. Use creativity and value-based negotiations and ethics-based influence to achieve successful closure and maintain productive, trust-based business and organizational relationships.
  
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    MNGT 490 Strategic Management Capstone (3 credits)



    Prerequisite 2.0 grade or better in each of the following: BUS 380,  ENGL& 235,  MNGT 310 , MNGT 330 , MNGT 410 , MNGT 420 , MNGT 430 , MNGT 450 , and MNGT 460 .

    Course Description
    This course synthesizes major principles in the BAS-ABM program. Students capture course and internship learning into a project to solve a major organizational problem or capture a compelling market opportunity (entrepreneurship) against a framework.

    Student Outcomes
    Use systems theory, adaptive leadership, as well as quantitative and qualitative methods and tools to address an organizational problem or entrepreneurial initiative of substantial scope.
    Measure the cost of a project using economic and accounting principles.
    Analyze the specific and generalized impacts of solution options on affected stakeholders.
    Analyze tradeoffs, assess risks, and weigh mitigation responses of organizational strategies.
    Evaluate project/solution/initiative outcomes and their value using analytical tools.
    Evaluate proposed and alternative solution efficacy using evidence-based principles.
  
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    MNGT 498 Strategic Management Internship (2 credits)



    Prerequisite 2.0 grade or better in each of the following: BUS 380, ENGL& 235, MNGT 310, MNGT 330, MNGT 410, MNGT 420, MNGT 430, MNGT 450, and MNGT 460.

    Course Description
    This course is in conjunction with the BAS-ABM capstone course (MNGT 490). It serves as the work experience component where students add organizational value by applying principles learned during their tenure in the baccalaureate program.

    Student Outcomes
    Complete 60 hours of supervised and documented work experience from a program-approved internship or new responsibilities from an existing work position to meet capstone outcomes.
    Apply advisor-approved and capstone-aligned student outcomes in the design and implementation of an organizational project, solution, or initiative.
    Apply project management, business analysis, and other programmatic tools and principles in the design and implementation of an organizational project, solution, or initiative.
  
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    MUSC 100 Introduction to Rock and Roll (5 credits)



    Distribution Area Fulfilled Humanities; General Transfer Elective
    Formerly MUSIC 100

    Course Description
    Rock and roll as a language of music from a listener’s perspective. Listening skills are exercised and become the vehicle through which specific music concepts are examined. Some social, biographical, and historical data covered.

    Student Outcomes
    1. Analyze and aurally recognize rock and roll compositions known to represent specific rock and roll styles.
    2. Trace relevant aspects of the sociological, historical, and economic development of America between 1950-1999.
    3. Assess the development of America between 1950-1999 and determine its effect on the evolution of rock music.
    4. Identify the elements of rock music.
    5. Give examples of the nonmusical features of rock music that make such music an expressive art form and contribute to elements of style.
    6. Through an aural analysis identify the instrumentation of select rock recordings
    7. Recall specific biographical and historical information of select rock personalities.
    8. Based on a musical, historical and sociological study of the evolution of rock, predict future events in its developmental course.
  
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    MUSC 102 American Popular Music (5 credits)



    Distribution Area Fulfilled Humanities; General Transfer Elective
    Formerly MUSIC 105

    Course Description
    Study of American music including: popular song, blues, jazz, country and rock styles. Historical and social elements that impacted their development. Current popular music trends will be studied as extensions of or responses to past styles.

    Student Outcomes
    1. Analyze and aurally recognize specific music styles and compositions that represent the popular music genre.
    2. Examine the sources of popular music: European American, African American, and Latin American.
    3. Identify and evaluate the socioeconomic, political, historical, and cultural events that affected the creation and development of popular music in the 19th, 20th, and 21st centuries.
    4. Trace the advancements of music technology and the evolution of the entertainment business and their influences on popular music.
    5. Recall and compare various elements of 19th and early 20th century American popular song including minstrel shows, vaudeville, Tin Pan Alley, dance music, and ragtime.
    6. Define and aurally distinguish between the different styles, songs, and artists of the Classic, Country, Delta, and Chicago blues traditions.
    7. Relate social and musical elements of the Jazz Age and Swing Era to specific historical events.
    8. Trace the origins of country music, and its emergence into popular culture.
    9. Identify the origins of early rock and interpret their influence on the development of future musical styles.
    10. Recall, analyze, and compare specific musical styles, artists, and songs from the Rock and Roll decades from 1950-to the present.
  
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    MUSC 103 Introduction to Jazz (5 credits)



    Distribution Area Fulfilled Humanities; General Transfer Elective
    Formerly MUSIC 103

    Course Description
    Introduces jazz and it’s variations: ragtime, blues, dixieland, boogie, swing, bebop, funk & fusion. Relevant cultural data pertaining to jazz is covered. Develops recognition skills through listening. Previous music experience is not necessary.

    Student Outcomes
    1. Analyze and aurally recognize compositions known to represent specific styles of jazz.
    2. Trace relevant aspects of the sociological, historical, and economic development of those cultures involved in the production of jazz between 1800-to the present.
    3. Assess the development of the American culture between 1800 and the present and determine its effect on the evolution of jazz.
    4. Analyze and aurally identify music concepts found within specific jazz music examples.
    5. Give examples of the nonmusical features of jazz contribute to elements of style.
    6. Identify the style of select jazz recordings through aural analysis.
    7. Recall specific biographical and historical information of select jazz personalities.
    8. Predict future developments in jazz based on a musical., historical, and sociologically study of its evolution.
  
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    MUSC 106 World Music (5 credits)



    Distribution Area Fulfilled Humanities; General Transfer Elective
    Course Description
    Examines select cultures from different areas around the world. Explores music concepts and engages social issues including: diversity, cultural differences and societal motivations for writing, performing and preserving music.

    Student Outcomes
    1. Identify methodologies for looking at the music of other cultures (ethnomusicology).
    2. Examine traditional cultures in a changing world.
    3. Compare and contrast the music of other cultures before and after the influence of Western popular music.
    4. Examine the different kinds of musical instruments and teaching methods from around the world.
    5. Give examples of the nonmusical features of cultures that influence and inform musical traditions.
    6. Through an aural analysis identify the different features of music from around the world.
    7. Enumerate cultural differences and similarities between other cultures and our own in order to provoke further understanding of ethnicity, and diversity.
    8. Relate the methodologies of ethnomusicology to our own musical world.
  
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    MUSC 107 Audio Production I: Beginning (2.5 credits)



    Formerly MUSIC 107

    Course Description
    An introductory, hands-on course that covers the basics of midi sequencing, sound reinforcement, microphone construction and application, signal processing equipment, and analog multi-track recording.

    Student Outcomes
    1. Create “midi” sequencing tracks.
    2. Combine “midi” sequencing tracks with analog and digital recordings.
    3. Identify the fundamental components and explain the operation of a basic sound reinforcement system.
    4. Recall basic information regarding the construction and application of select microphones
    5. Identify and define the purpose of select signal processing equipment used in multi-track recording.
    6. Produce an analog multi-track recording.
    7. Recite the basics of digital audio recording.
  
  •  

    MUSC 108 Audio Production II: Intermediate (2.5 credits)



    Formerly MUSIC 108

    Prerequisite MUSC 107  with at least a 1.5 grade.

    Course Description
    An intermediate, hands-on course that covers midi sequencing, sound reinforcement, microphone construction and application, signal processing equipment, and analog multi-track recording.

    Student Outcomes
    1. Create “midi” sequencing tracks.
    2. Track a recording session using mixers, microphone preamplifiers, analog signal processors, and headphone monitoring
    3. Combine “midi” sequencing tracks with pre-existing material and add a “voice over” using a microphone
    4. Design the schematics and assemble a complete sound system
    5. Set up a combo for tracking based on the microphone data covered in Audio I
    6. Route and process 8 or more audio tracks while using signal processing equipment
    7. Record multiple tracks using microphones, mixers, signal processing and headphone monitoring
    8. Describe Pulse Code Modulation Theory and the importance of sample rate, bit rate, error correction in Red Book Standards
  
  •  

    MUSC 109 Audio Production III: Advanced (2.5 credits)



    Formerly MUSIC 109

    Prerequisite MUSC 107  and MUSC 108  with at least a 1.5 grade in both classes.

    Course Description
    An advanced, hands-on course that covers midi sequencing, code synchronization, sound reinforcement, microphone construction and application, signal processing equipment, analog multi-track recording and digital multi-track recording.

    Student Outcomes
    1. Create “midi” sequencing tracks using code synchronization
    2. Track a recording session using complex audio routing and signal matching
    3. Create a full production using code synchronization, analog audio, digital audio, and sound effects
    4. Design a sound system for a major live music production that involves the use of mixing channels, microphones, audio snakes, audio splitters, signal processing, and live recording devices
    5. Apply stereo, ambient, and sampling microphone techniques in assigned recording projects
    6. Record a minimum of 16 tracks of audio using ADAT and mix-down to stereo DAT
    7. Finish a CD master from DAT using Pro-Tools software and hardware
  
  •  

    MUSC 126 Beginning Class Guitar (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 126

    Course Description
    A performance course designed for the beginning guitarist. No prior experience expected. Students must furnish their own guitar.

    Student Outcomes
    1. Read treble clef notes, tablature, chord graphs, and identify them on the fretboard.
    2. Strum the chords to beginning music literature while maintaining a constant tempo.
    3. Interpret elements of basic music theory (e.g., time signatures, chord graphs, strum bars, tempo markings).
    4. Perform 15 basic guitar chords and 10 altered guitar chords.
    5. Perform 15 assigned riffs on the guitar.
    6. Define musical terms, and identify melodic and harmonic intervals.
    7. Play chromatic scale positions 1 through 10 at 120M.M.
  
  •  

    MUSC 127 Intermediate Class Guitar (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 127

    Prerequisite MUSC 126  with at least a 1.5 grade.

    Course Description
    A performance course designed for the intermediate guitarist. MUSC 126 or the equivalent required. Students must furnish their own guitar.

    Student Outcomes
    1. Read treble clef notes, tablature, chord graphs, and identify them on the fret-board.
    2. Strum and play melodies to intermediate guitar repertoire.
    3. Interpret elements of intermediate music theory (e.g., time signatures, chord graphs, strum and picking patterns, dynamics).
    4. Perform moveable chord forms with root notes on the fifth and sixth strings.
    5. Perform intermediate chord progressions, riffs, and melodies on the guitar.
    6. Play five moveable scale positions 1 through 10 at 200 M.M. (e.g., chromatic, major, minor, pentatonic, and blues).
    7. Demonstrate intermediate guitar techniques (e.g., hammer on, pull off, tremolo, vibrato, double-time strumming, alternating root to fifth bass lines, bending strings down, down and up picking, slides, harmonics, finger-style).
  
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    MUSC 144 Concert Choir (2 credits)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 144A

    Course Description
    Non-auditioned choir for both beginning and experienced singers. Rehearses and performs choral literature. Quarterly concerts required. Non-music major participation encouraged. Course is repeatable for additional credit up to 3 times.

    Student Outcomes
    1. Demonstrate and analyze quality vocal pedagogy and technique.
    2. Demonstrate and analyze choral music literature theoretically and aurally.
    3. Learn and perform a varying assortment of choral repertory.
    4. Work effectively as part of a team (ensemble) in rehearsal, performance and travel.
    5. Sing in a variety of languages with proper diction and enunciation
    6. Demonstrate a professional attitude toward practice, using self-motivation and self-evaluation, as it pertains to the appropriate performance of selected music.
    7. Demonstrate professional performance etiquette.
    8. Listen and analyze live and recorded performances of choral literature
  
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    MUSC 147 Chamber Choir (2 credits)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Prerequisite Audition and/or instructor permission.

    Course Description
    An smaller auditioned choir intended for more experienced singers. Rehearses and performs advanced choral literature. Quarterly concerts and occasional touring are required. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Analyze and apply quality vocal pedagogy and technique.
    2. Analyze choral music literature theoretically and aurally.
    3. Perform a varying assortment of choral repertory.
    4. Work effectively as part of a small ensemble in rehearsal, performance and travel.
    5. Sing in a variety of languages with proper diction and enunciation.
    6. Display a professional attitude toward practice, using self-motivation and self-evaluation, as it pertains to the appropriate performance of selected music.
    7. Demonstrate professional performance etiquette.
  
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    MUSC 150 College Band (2 credits)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 150A

    Course Description
    A large performance group open to all students with experience reading and performing instrumental band literature. Non-music major participation encouraged. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. At the community college level, perform selected music at designated quarterly concerts.
    2. At the community college level and on music selected for quarterly concerts, demonstrate appropriate ability in the areas of timbre, rhythmic accuracy, intonation, expression, style and balance.
    3. Work effectively as a part of a team.
    4. Demonstrate a professional attitude towards practice, self-motivation and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert
  
  •  

    MUSC 154 College Orchestra (2 credits)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 154A

    Course Description
    A large performance group open to all students with experience reading and performing orchestra literature. Non-music major participation encouraged. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. At the community college level, perform selected music at designated quarterly concerts.

    2. At the community college level and on music selected for quarterly concerts, demonstrate appropriate ability in the areas of timbre, rhythmic accuracy, intonation, expression, style and balance.

    3. Work effectively as a part of a team.

    4. Demonstrate a professional attitude towards practice, self-motivation and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert
  
  •  

    MUSC 157 Jazz Band (2 credits)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 157A

    Course Description
    A jazz ensemble intended to provide the experienced instrumentalist an opportunity to rehearse and perform selected jazz literature. Non-major participation encouraged. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Perform selected music at designated quarterly concerts.
    2. Demonstrate appropriate timbre, rhythmic accuracy, intonation, expression, style, and balance on music selected for quarterly concerts.
    3. Work effectively as a part of a team.
    4. Demonstrate a professional attitude towards practice, self-motivation, and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert.
  
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    MUSC 160 Private Instruction: Arranging (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 130A

    Prerequisite MUSC& 143  with at least a 1.5 grade.

    Course Description
    An individual instruction course geared towards advancing beginning levels of arranging. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Define the parameters of, and produce, a musical arrangement.
    2. Identify and research areas of musical relevance to that arrangement.
    3. Show incremental and measurable progress towards the completion of the arrangement.
    4. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 161 Private Instruction: Improvisation (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in improvisation. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals
  
  •  

    MUSC 162 Private Instruction: Brass (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in brass. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 163 Private Instruction: Woodwinds (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 133A

    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in woodwinds. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 164 Private Instruction: Percussion (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in percussion. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.)pitch, rhythm, tempo, articulation, and intonation precision;
    b.)dynamic, phrase, and stylistic expression;
    c.)timbre;
    d.)balance;
    e.)comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 165 Private Instruction: Voice (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in voice. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 166 Private Instruction: Orchestral Strings (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in orchestral strings. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 167 Private Instruction: Keyboard (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in keyboard. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 168 Private Instruction: Plectrum Strings (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in plectrum. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 170 Brass Ensemble (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 170A

    Prerequisite Instructor permission required.

    Course Description
    Small brass ensemble for students who assmble a group. A coach will be proviced. Outside performances encouraged in connection with larger Pierce College ensembles. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. At the community college level, perform selected music at designated quarterly concerts.
    2. At the community college level and on music selected for quarterly concerts, demonstrate appropriate ability in the areas of timbre, rhythmic accuracy, intonation, expression, style, and balance.
    3. Work effectively as a part of a team.
    4. Demonstrate a professional attitude towards practice, self-motivation, and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert.
  
  •  

    MUSC 171 Woodwind Ensemble (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 171A

    Prerequisite Instructor permission required.

    Course Description
    Small woodwind ensemble for students who assmble a group. A coach will be proviced. Outside performances encouraged in connection with larger Pierce College ensembles. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. At the community college level, perform selected music at designated quarterly concerts.
    2. At the community college level and on music selected for quarterly concerts, demonstrate appropriate ability in the areas of timbre, rhythmic accuracy, intonation, expression, style, and balance.
    3. Work effectively as a part of a team.
    4. Demonstrate a professional attitude towards practice, self-motivation, and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert.
  
  •  

    MUSC 172 Percussion Ensemble (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 172A

    Prerequisite Instructor permission required.

    Course Description
    A small performance group open to all students with experience in reading and performing percussion ensemble literature. Outside performances required. Student self-initiative is a vital component of success in this class.

    Student Outcomes
    1. At the community college level, perform selected music at designated quarterly concerts.
    2. At the community college level and on music selected for quarterly concerts, demonstrate appropriate ability in the areas of timbre, rhythmic accuracy, intonation, expression, style, and balance.
    3. Work effectively as a part of a team.
    Demonstrate a professional attitude towards practice, self-motivation, and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert.
  
  •  

    MUSC 173 String Ensemble (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 173A

    Prerequisite Instructor permission required.

    Course Description
    Small instrument ensemble for students who assmble a group. A coach will be proviced. Outside performances encouraged in connection with larger Pierce College ensembles. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. At the community college level, perform selected music at designated quarterly concerts.
    2. At the community college level and on music selected for quarterly concerts, demonstrate appropriate ability in the areas of timbre, rhythmic accuracy, intonation, expression, style, and balance.
    3. Work effectively as a part of a team.
    Demonstrate a professional attitude towards practice, self-motivation, and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert.
  
  •  

    MUSC 174 Vocal Ensemble (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 174A

    Prerequisite Instructor permission required.

    Course Description
    Small vocal ensemble for students who assmble a group. A coach will be proviced. Outside performances encouraged in connection with larger Pierce College ensembles. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. At the community college level, perform selected music at designated quarterly concerts.
    2. At the community college level and on music selected for quarterly concerts, demonstrate appropriate ability in the areas of timbre, rhythmic accuracy, intonation, expression, style, and balance.
    3. Work effectively as a part of a team.
    Demonstrate a professional attitude towards practice, self-motivation, and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert.
  
  •  

    MUSC 181 Beginning Class Piano (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 120

    Course Description
    Basic introduction to playing piano by establishing good reading habits, rhythmic competency and learning the basic fundamentals of music theory.

    Student Outcomes
    1. Read notes on the grand staff and identify them on the keyboard.
    2. Play easy pieces in the C, G, and F positions.
    3. Interpret elements of basic music theory including time signatures, notation, tempo markings, and chords.
    4. Define musical terms, and identify melodic and harmonic intervals.
    5. Build and play three major scales and their chord progressions (I-IV-V7).
    6. Perform two solo recital pieces for fellow students.
    7. Identify simple musical forms.
  
  •  

    MUSC 182 Intermediate Class Piano (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 121

    Prerequisite MUSC 181  with at least a 1.5 grade or instructor permission.

    Course Description
    A continuation of MUSC 181 by establishing better reading habits and rhythmic orientation. Building a stronger technical background and learning more fundamentals of music theory.

    Student Outcomes
    1. Play the a-minor, d-minor, and e-minor harmonic minor scales and arpeggios, and the i, iv, and V7 chords.
    2. Play a D-major scale, arpeggios, and the I, IV, and V7 chords.
    3. Identify the 6/8 time signature.
    4. Analyze and identify the major, minor, augmented, and diminished triads in root position, and in 1st and 2nd inversions.
    5. Perform four solo pieces in a recital for fellow students.
    6. Play with proper position.
  
  •  

    MUSC 183 Advanced Class Piano (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 122

    Prerequisite MUSC 182  with at least a 1.5 grade or instructor permission.

    Course Description
    To increase music reading ability and keyboard technical skills. Prepare students for the piano proficiency test required for a music degree in a four-year institution.

    Student Outcomes
    1. Play the Bb-major, Eb-major, and Ab-major scales, arpeggios, and chords.
    2. Play the g-minor, c-minor, and f-minor scales, arpeggios, and chords.
    3. Demonstrate sight-reading skills.
    4. Perform four solo pieces in a recital for fellow students.
    5. Memorize two piano pieces for performance.
    6. Harmonize a melody from a lead sheet, using triads and inversions.
    7. Identify and construct seventh chords and their inversions.
    8. Interpret music in performance.
  
  •  

    MUSC 205 Music for Teachers (5 credits)



    Distribution Area Fulfilled Humanities; General Transfer Elective
    Course Description
    A general introduction to music as applied to the developmental foundation of learning in young children. Explores theories, techniques, cultural influences, and curriculum design.

    Student Outcomes
    1.Analyze and aurally identify the musical concepts found within developmentally appropriate songs for children birth through grade 3.

    2.Simulate the teacher’s role in planning and leading group music times for children birth through grade 3 which incorporate designated types of songs, musical props, song-illustrations, movement activities, leadership, and presentation skills.

    3. Plan developmentally appropriate movement activities for young children based on the stages of physical development and the elements and principles of dance.

    4. Create and use musical instruments appropriate for the multicultural classroom for young children and identify the properties of sound inherent in each.

    5.Assess the impact and benefit of music and movement experiences upon individual children with ability differences in order to plan appropriate and supportive curriculum.

    6.Articulate methods of music instruction which support the culture of individual families in the program, and cultural groups within the community.

    7.Create developmentally appropriate music curricular plans incorporating specific thematic, age, music, movement, and materials requirements.

    8. Apply basic music knowledge, elements, and skills used in music such as melody, rhythm, harmony, texture, form, tempo, chords, tonal systems, dynamics, beat, and expression in order to plan and implement a cohesive music curriculum for young children.
  
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    MUSC 244 Concert Choir (2 credits)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 244A

    Course Description
    Non-auditioned choir for both beginning and experienced singers. Rehearses and performs choral literature. Quarterly concerts required. Non-music major participation encouraged. Course is repeatable for additional credit up to 3 times.

    Student Outcomes
    1. Demonstrate and analyze quality vocal pedagogy and technique.
    2. Demonstrate and analyze choral music literature theoretically and aurally.
    3. Learn and perform a varying assortment of choral repertory.
    4. Work effectively as part of a team (ensemble) in rehearsal, performance and travel.
    5. Sing in a variety of languages with proper diction and enunciation
    6. Demonstrate a professional attitude toward practice, using self-motivation and self-evaluation, as it pertains to the appropriate performance of selected music.
    7. Demonstrate professional performance etiquette.
    8. Listen and analyze live and recorded performances of choral literature
  
  •  

    MUSC 247 Chamber Choir (2 credits)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Prerequisite Audition and/or instructor permission.

    Course Description
    An smaller auditioned choir intended for more experienced singers. Rehearses and performs advanced choral literature. Quarterly concerts and occasional touring are required. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Analyze and apply quality vocal pedagogy and technique.
    2. Analyze choral music literature theoretically and aurally.
    3. Perform a varying assortment of choral repertory.
    4. Work effectively as part of a small ensemble in rehearsal, performance and travel.
    5. Sing in a variety of languages with proper diction and enunciation.
    6. Display a professional attitude toward practice, using self-motivation and self-evaluation, as it pertains to the appropriate performance of selected music.
    7. Demonstrate professional performance etiquette.
  
  •  

    MUSC 250 College Band (2 credits)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 250A

    Course Description
    A large performance group open to all students with experience reading and performing instrumental band literature. Non-music major participation encouraged. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. At the community college level, perform selected music at designated quarterly concerts.
    2. At the community college level and on music selected for quarterly concerts, demonstrate appropriate ability in the areas of timbre, rhythmic accuracy, intonation, expression, style and balance.
    3. Work effectively as a part of a team.
    4. Demonstrate a professional attitude towards practice, self-motivation and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert
  
  •  

    MUSC 254 College Orchestra (2 credits)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 254A

    Course Description
    A large performance group open to all students with experience reading and performing orchestra literature. Non-music major participation encouraged. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. At the community college level, perform selected music at designated quarterly concerts.

    2. At the community college level and on music selected for quarterly concerts, demonstrate appropriate ability in the areas of timbre, rhythmic accuracy, intonation, expression, style and balance.

    3. Work effectively as a part of a team.

    4. Demonstrate a professional attitude towards practice, self-motivation and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert
  
  •  

    MUSC 257 Jazz Band (2 credits)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Formerly MUSIC 257A

    Course Description
    A jazz ensemble intended to provide the experienced instrumentalist an opportunity to rehearse and perform selected jazz literature. Non-major participation encouraged. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Perform selected music at designated quarterly concerts.
    2. Demonstrate appropriate timbre, rhythmic accuracy, intonation, expression, style, and balance on music selected for quarterly concerts.
    3. Work effectively as a part of a team.
    4. Demonstrate a professional attitude towards practice, self-motivation, and self-evaluation as it pertains to the appropriate performance of music selected for each quarterly concert.
  
  •  

    MUSC 260 Private Instruction: Arranging (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Prerequisite MUSC& 143  with at least a 1.5 grade.

    Course Description
    An individual instruction course geared towards advancing beginning levels of arranging. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Define the parameters of, and produce, a musical arrangement.
    2. Identify and research areas of musical relevance to that arrangement.
    3. Show incremental and measurable progress towards the completion of the arrangement.
    4. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 261 Private Instruction: Improvisation (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in improvisation. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals
  
  •  

    MUSC 262 Private Instruction: Brass (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in brass. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 263 Private Instruction: Woodwind (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in woodwinds.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 264 Private Instruction: Percussion (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in percussion. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 265 Private Instruction: Voice (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in voice. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 266 Private Instruction: Orchestral Strings (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in orchestral strings. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 267 Private Instruction: Keyboard (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in keyboard. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
  
  •  

    MUSC 268 Private Instruction: Plectrum Strings (1 credit)



    Distribution Area Fulfilled Humanities with Performance; General Transfer Elective
    Course Description
    An individual instruction course geared towards advancing all levels of student music performance in plectrum. Course is repeatable for additional credit up to 3 times in the degree.

    Student Outcomes
    1. Demonstrate through performance measurable improvement in some, if not all, of the following areas:
    a.) pitch, rhythm, tempo, articulation, and intonation precision;
    b.) dynamic, phrase, and stylistic expression;
    c.) timbre;
    d.) balance;
    e.) comping and solo improvisation techniques.

    2. Demonstrate a professional attitude towards self-motivation, and self-evaluation as it pertains to the pursuit of selected goals.
 

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