College Algebra Enhanced with Graphing Utilities, 5th Edition

Chapter R            Review

R.1 Real Numbers

R.2 Algebra Essentials

R.3 Geometry Essentials

R.4 Polynomials

R.5 Factoring Polynomials

R.6 Synthetic Division

R.7 Rational Expressions

R.8 nth Roots; Rational Exponents

Chapter 1            Graphs, Equations, and Inequalities

1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations

1.2 Solving Equations Using Graphing Utility; Linear and Rational Equations

1.3 Quadratic Equations

1.4 Complex Numbers; Quadratic Equations in the Complex Number System

1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations

1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs

1.7 Solving Inequalities

Chapter 2            Graphs

2.1 Intercepts and Symmetry; Graphing Key Equations

2.2 Lines

2.3 Circles

2.4 Variation

Chapter 3        Functions and Graphs

3.1 Functions

3.2 The Graph of a Function

3.3 Properties of Functions

3.4 Library of Functions; Piecewise-Defined Functions

3.5 Graphing Techniques: Transformations

3.6 Mathematical Models: Building Functions

Chapter 4        Linear and Quadratic Functions

4.1 Linear Functions,Their Properties, and Linear Models

4.2 Building Linear Models from Data

4.3 Quadratic Functions and Their Properties

4.4 Building Quadratic Models from Verbal Descriptions and from Data

4.5 Inequalities Involving Quadratic Functions

Chapter 5            Polynomial and Rational Functions

5.1 Polynomial Functions and Models

5.2 Properties of Rational Functions

5.3 The Graph of a Rational Function

5.4 Polynomial and Rational Inequalities

5.5 The Real Zeros of a Polynomial Function

5.6 Complex Zeros: Fundamental Theorem of Algebra

Chapter 6            Exponential and Logarithmic Functions

6.1 Composite Functions

6.2 One-to-One Functions; Inverse Functions

6.3 Exponential Functions

6.4 Logarithmic Functions

6.5 Properties of Logarithms

6.6 Logarithmic and Exponential Equations

6.7 Financial Models

6.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay

6.9 Building Exponential, Logarithmic, and Logistic Models from Data

Chapter 7            Analytic Geometry

7.1 Conics

7.2 The Parabola

7.3 The Ellipse

7.4 The Hyperbola

Chapter 8            Systems of Equations and Inequalities

8.1 Systems of Linear Equations: Substitution and Elimination

8.2 Systems of Linear Equations: Matrices

8.3 Systems of Linear Equations: Determinants

8.4 Matrix Algebra

8.5 Partial Fraction Decomposition

8.6 Systems of Nonlinear Equations

8.7 Systems of Inequalities

8.8 Linear Programming

Chapter 9            Sequences; Induction; The Binomial Theorem

9.1 Sequences

9.2 Arithmetic Sequences

9.3 Geometric Sequences; Geometric Series

9.4 Mathematical Induction

9.5 The Binomial Theorem

Chapter 10            Counting and Probability

10.1 Counting

10.2 Permutations and Combinations

10.3 Probability

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