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Table of Contents
College Algebra with Corequisite Support 1e
Chapter R: Review of Prerequisites
Section R.1 Operations on Fractions
Section R.2 The Set of Real Numbers
Section R.3 Simplifying Numerical Expressions
Chapter 1: Linear Equations and Inequalities
Section 1.1 Algebraic Expressions and Models
Section 1.2 Linear Equations in One Variable
Section 1.3 Applications of Linear Equations in One Variable
Section 1.4 Union and Intersections of Sets
Section 1.5 Linear and Compound Inequalities
Section 1.6 Absolute Value Equations
Section 1.7 Absolute Value Inequalities
Chapter 2: Polynomials
Section 2.1 Integer Exponents and Scientific Notation
Section 2.2 Operations on Polynomials
Section 2.3 Greatest Common Factor and Factoring by Grouping
Section 2.4 Factoring Trinomials
Section 2.5 Factoring Polynomials
Chapter 3: Quadratic Equations
Section 3.1 Introduction to Radicals and Their Simplification
Section 3.2 Multiplying Radicals and Rationalizing the Denominator
Section 3.3 Complex Numbers
Section 3.4 Solving Quadratic Equations by Factoring
Section 3.5 Solving Quadratic Equations by Using the Square Root Property
Section 3.6 Solving Quadratic Equations by Using the Quadratic Formula
Chapter 4: More Expressions and Equations
Section 4.1 Multiplication and Division of Rational Expressions
Section 4.2 Addition and Subtraction of Rational Expressions
Section 4.3 Rational Equations
Section 4.4 Applications of Rational Equations
Section 4.5 Rational Exponents
Section 4.6 Radical Equations and Equations with Rational Exponents
Section 4.7 Equations in Quadratic Form
Chapter 5: Functions and Relations
Section 5.1 The Rectangular Coordinate System and Graphing Utilities
Section 5.2 Circles
Section 5.3 Functions and Relations
Section 5.4 Linear Equations in Two Variables and Linear Functions
Section 5.5 Applications of Linear Equations and Modeling
Chapter 6: Transformations and Analysis of Functions
Section 6.1 Transformations of Graphs
Section 6.2 Symmetry and Piecewise-Defined Functions
Section 6.3 Average Rate of Change, Difference Quotient, and Function Behavior
Section 6.4 Algebra of Functions and Function Composition
Chapter 7: Polynomial Functions
Section 7.1 Quadratic Functions and Applications
Section 7.2 Introduction to Polynomial Functions
Section 7.3 Division of Polynomials and the Remainder and Factor Theorems
Section 7.4 Zeros of Polynomials
Section 7.5 Polynomial Inequalities and Applications
Chapter 8: Rational Functions
Section 8.1 Introduction to Rational Functions
Section 8.2 Graphs of Rational Functions
Section 8.3 Rational Inequalities
Section 8.4 Variation
Chapter 9: Exponential and Logarithmic Functions
Section 9.1 Inverse Functions
Section 9.2 Exponential Functions
Section 9.3 Logarithmic Functions
Section 9.4 Properties of Logarithms
Section 9.5 Exponential Equations and Applications
Section 9.6 Logarithmic Equations and Applications
Section 9.7 Modeling with Exponential and Logarithmic Functions
Chapter 10: Systems of Equations and Inequalities
Section 10.1 Graphs of Systems of Linear Equations in Two Variables
Section 10.2 Systems of Linear Equations in Two Variables and Applications
Section 10.3 Systems of Linear Equations in Three Variables and Applications
Section 10.4 Partial Fraction Decomposition
Section 10.5 Systems of Nonlinear Equations in Two Variables
Section 10.6 Inequalities and Systems of Inequalities in Two Variables
Section 10.7 Linear Programming
Chapter 11: Matrices and Determinants and Applications
Section 11.1 Solving Systems of Linear Equations Using Matrices
Section 11.2 Inconsistent Systems and Dependent Equations
Section 11.3 Operations on Matrices
Section 11.4 Inverse Matrices and Matrix Equations
Section 11.5 Determinants and Cramer's Rule
Chapter 12 (Online): Analytic Geometry
Chapter 13 (Online): Sequences, Series, Induction, and Probability