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Table of Contents
1 Introduction to Functions and Graphs
R Review
- Numbers, Data, and Problem Solving
- Visualizing and Graphing Data
- Functions and Their Representations
- Types of Functions and Their Rates of Change
2 Linear Functions and Equations
R Review
- Equations of Lines
- Linear Equations
- Linear Inequalities
- More Modeling with Functions
- Absolute Value Equations and Inequalities
3 Quadratic Functions and Equations
R Review
- Quadratic Functions and Models
- Quadratic Equations and Problem Solving
- Complex Numbers
- Quadratic Inequalities
- Transformations of Graphs
4 More Nonlinear Functions and Equations
R Review
- More Nonlinear Functions and Their Graphs
- Polynomial Functions and Models
- Division of Polynomials
- Real Zeros of Polynomial Functions
- The Fundamental Theorem of Algebra
- Rational Functions and Models
- More Equations and Inequalities
- Radical Equations and Power Functions
5 Exponential and Logarithmic Functions
R Review
- Combining Functions
- Inverse functions and Their Representations
- Exponential Functions and Models
- Logarithmic Functions and Models
- Properties of Logarithms
- Exponential and Logarithmic Equations
- Constructing Nonlinear Models
6 Systems of Equations and Inequalities
R Review
- Functions and Systems of Equations in Two Variables
- Systems of Inequalities in Two Variables
- Systems of Linear Equations in Three Variables
- Solutions to Linear Systems Using Matrices
- Properties and Applications of Matrices
- Inverses of Matrices
- Determinants
7 Conic Sections
- Parabolas
- Ellipses
- Hyperbolas
8 Further Topics in Algebra
R Review
- Sequences
- Series
- Counting
- The Binomial Theorem
- Mathematical Induction
- Probability
R Reference: Basic Concepts from Algebra and Geometry
- Formulas from Geometry
- Integer Exponents
- Polynomial Expressions
- Factoring Polynomials
- Rational Expressions
- Radical Notation and Rational Exponents
- Radical Expressions
Appendices
Appendix A: Using the Graphing Calculator, no exercises necessary
Appendix B: A Library of Functions, no exercises necessary
Appendix C: Partial Fractions
Appendix D: Percent Change and Exponential Functions
Get College Algebra with Integrated Review plus MyLab Math Student Access Card and Worksheets by Gary K. Rockswold, Minnesota State University, Mankato
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