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 Completion of Math GSP; or MATH 098 or equivalent with a grade of 2.0 or better
Course Description
A study of precalculus for business majors, including linear, polynomial and rational function models, exponential and logarithmic functions, mathematics of finance, linear systems of equations, matrices, linear programming, and set operations.
Course Content
Rates of change
Difference quotients
Numerical, graphical and symbolic representations
Functions and their graphs
Evaluating functions with graphs, tables, and formulas
Composite functions
Linear Functions, Equations, and Inequalities
Equations of lines
Piecewise linear functions
Linear regressions
Linear inequalities
Applications (cost, revenue, profit, break-even analysis, and supply and demand)
Polynomial and rational functions and their properties (and applications)
Domain and range
Quadratic functions
Polynomial functions
Rational functions
Polynomial and rational inequalities
Applications (maximum profit, maximum revenue, minimum cost, equilibrium points for quadratic or rational demand and supply functions)
Exponential and logarithmic functions and equations (and applications)
Exponential functions
Properties of logarithms
Exponential and logarithmic equations
Exponential growth and decay models
Optimization & Linear Programming
Solving two-variable linear programming problems using the graphing method
Solving multi-variable linear programming problems using technology
Systems of Equations & Matrices
Solving linear systems of equations using row operation methods and/or technology
Basic matrix operations (addition, subtraction, scalar multiplication, multiplication)
Applications
Set operations
Complement, intersection and union of two or more sets
Applications of Venn Diagrams to real-world problems
Finance
Application of finance formulas (discount, simple interest, compound interest, future and present value of annuities, and creating amortization tables)
Student Outcomes
At the end of the course, students will be able to:
- Use algebraic techniques to simplify and solve equations and inequalities.
- Determine the properties of piecewise, polynomial, rational, exponential, and logarithmic functions, such as domain and range, intercepts, asymptotes, and symmetry, and use this information to sketch graphs of these functions.
- Choose, use, and move between appropriate representations of functions (numerical, graphical, and symbolic) to model and solve problems, interpret results, and effectively communicate mathematical processes and solutions in context.
- Solve application problems from business and health, social, and natural sciences using linear, polynomial, rational, exponential and logarithmic equations and inequalities.
- Apply set operations, finance formulas, matrix operations, and linear programming to solve real-world problems.
- Communicate mathematical processes and solutions to problems correctly and clearly to an intended audience.
Degree Outcomes
Quantitative & Symbolic Reasoning: Graduates utilize mathematical, symbolic, logical, graphical, geometric, or statistical analysis for the interpretation and solution of problems in the natural world and human society.
Critical, Creative and Reflective Thinking: Graduates will evaluate, analyze, synthesize, and generate ideas; construct informed, meaningful, and justifiable conclusions; and process feelings, beliefs, biases, strengths, and weaknesses as they relate to their thinking, decisions, and creations.
Effective Communication: Graduates will be able to craft and exchange ideas and information in a variety of situations, in response to audience, context, purpose, and motivation.
Lecture Contact Hours 50
Lab Contact Hours 0
Clinical Contact Hours 0
Total Contact Hours 50
Potential Methods
Discussions
Written Assignments
Projects
Homework
Quizzes
Objective Tests
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