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Aug 31, 2024
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2024-2025 College Catalog
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MAT 188 - Precalculus I [SUN# MAT 1151] 4 Credits, 4 Contact Hours 4 lecture periods 0 lab periods College-level algebra. Includes equations, systems of equations, algebraic and transcendental functions, inequalities, sequences and series, and calculator use.
Prerequisite(s): MAT 095 or MAT 097 or required score on the Mathematics assessment test. Recommendation: MAT 187 This course is intended as an intensive preparation for students who plan to continue to Calculus. Information: Credit for only one course will be awarded to students completing MAT 151 and MAT 188. See course description or advisor to choose your best option. No more than 7 credits may be applied toward graduation from the following list of courses: MAT 151 , MAT 187 , MAT 188, and MAT 189 . The combination of MAT 188 and MAT 189 is [SUN# 1187]. A graphing calculator is required for this course and will be used extensively. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.
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Course Learning Outcomes
- Analyze functions by determining the domain, range, graph, zeros, asymptotes, and other properties.
- Solve various types of equations, inequalities, and systems.
- Solve problems involving real world applications.
Performance Objectives:
- Represent functions graphically, algebraically, numerically, and verbally; use function operations and inverses; use transformations and determine symmetry.
- Graph polynomial and rational functions; predict the nature of the zeros, and reconstruct a polynomial from its given zeros.
- Solve polynomial, rational, and absolute value inequalities.
- Graph exponential and logarithmic functions; solve exponential and logarithmic equations.
- Analyze the asymptotic behavior of a function.
- Solve linear systems algebraically, graphically, and using matrices; solve nonlinear systems graphically and algebraically.
- Use a graphing calculator to graph and analyze functions.
- Find the nth term of a sequence; calculate partial sums of arithmetic and geometric sequences.
- Solve application problems.
Outline:
- Equations (Optional review as necessary)
- Equations of lines
- Quadratic and quadratic-in-form
- Absolute value
- Polynomial and rational
- Literal
- Radical
- Applications
- Functions
- Definition and Representation
- Ordered pairs or table
- Graphical
- Algebraic
- Verbal
- Transformation of graphs
- Symmetry of graphs
- Operations
- Addition, subtraction, multiplication, division
- Composition
- Inverses
- Polynomial and Rational Functions
- Polynomial functions
- Graphs
- Zeros: real and complex
- Reconstruct a polynomial from its given zeros
- Rational functions
- Domain
- Graphs
- Asymptotes – vertical and horizontal
- Limits (optional)
- Inequalities
- Polynomial
- Rational
- Absolute value
- Exponential and Logarithmic Functions
- Radicals and rational exponents (optional review)
- Exponential functions
- Graphs
- Equations
- Applications
- Logarithmic functions
- Properties of logarithms
- Common and natural logarithms
- Logarithms to other bases
- Graphs of logarithmic functions
- Equations
- Applications
- Systems of Equations
- Linear
- Algebraic solution
- Graphical solution
- Matrix methods
- Algebra of matrices
- Nonlinear
- Algebraic solution
- Graphical solution
- Calculator Use
- Numerical calculations and evaluation of functions
- Graphs and analysis of functions
- Matrix Computations
- Sequences and Series
- Definitions and notation
- Arithmetic sequences and sums
- Geometric sequences and sums
- Infinite geometric series
- Binomial Theorem (optional)
- Optional Topics
- Limits
- Construct and interpret a table
- Graphical interpretation
- Algebraic methods
- One-sided limits
Effective Term: Full Academic Year 2017/2018
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