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Nov 23, 2024
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MAT 142 - Pre-Calculus
Credits: 4
4 Lecture Hours
Prerequisites: MAT 108 or Equivalent
Description
This is a course for students majoring in mathematics, science, or engineering intending to take Calculus. Topics include equations and inequalities, polynomial and rational functions and their graphs, exponential and logarithmic functions and their graphs, equations and graphs of conic sections, the theory of equations, systems of equations, inverse functions and binomial expansion.
Learning Outcomes
Upon successful completion of the course, the student will:
- Deduce the domain, range and symmetry of a function given its formula or graph.
- Determine the formula and domain of an algebraic combination or composition of two functions.
- Develop the attributes and graph of a polynomial function.
- Develop the attributes and graph of a rational function.
- Solve an inequality involving polynomial or rational expressions.
- Analyze the attributes of an exponential function and its graph.
- Analyze the attributes of a logarithmic function and its graph.
- Solve an equation involving logarithmic or exponential expressions.
- Demonstrate the relationship between an equation of a conic section and its graph.
- Solve a 3 x 3 system of linear equations using linear combinations or matrices.
- Write the terms of a sequence or a summation based on its formula.
- Write a binomial expansion using the Binomial Theorem.
Listed Topics
- Equations and inequalities involving linear, quadratic, polynomial, rational and absolute value expressions
- Functions and their graphs
- Polynomial functions, including their real zeros, domains, ranges and graphs
- Rational functions, including their real zeros, domains, ranges and graphs
- Exponential and logarithmic functions and their graphs
- Exponential and logarithmic equations
- Applications of exponential functions and logarithms including compound interest and exponential growth and decay
- Conics sections, including their standard equations and attributes needed to graph them
- Systems of equations and inequalities
- Sequences and summation
- The Binomial Theorem
Reference Materials
Textbook/materials/calculator as required by instructor
Students who successfully complete this course acquire general knowledge, skills and abilities that align with CCAC’s definition of an educated person. Specifically, this course fulfills these General Education Goals: - Critical Thinking and Problem Solving
- Quantitative and Scientific Reasoning
Approved By: Bullock, Quintin Date Approved: 04/11/2019
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