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 or department chair permission
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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