
20222023 College Catalog [ARCHIVED CATALOG]

MAT 188  Precalculus I [SUN# MAT 1151] 4 Credits, 4 Contact Hours 4 lecture periods 0 lab periods
Collegelevel algebra. Includes equations, systems of equations, algebraic and transcendental functions, inequalities, sequences and series, and calculator use.
Prerequisite(s): Within the last three years: MAT 095 or MAT 097 with a grade of C or better, or required score on the Mathematics assessment test. Recommendation: 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 182, 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. GenEd: Meets AGEC  MATH; Meets CTE  M&S.
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 quadraticinform
 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
 Onesided limits

