College Algebra -text Only - 7th edition

P. Prerequisites

P.1 Review of Real Numbers and Their Properties
P.2 Exponents and Radicals
P.3 Polynomials and Special Products
P.4 Factoring Polynomials
P.5 Rational Expressions
P.6 Errors and the Algebra of Calculus
P.7 The Rectangular Coordinate System and Graphs

1. Equations, Inequalities, and Mathematical Modeling

1.1 Graphs of Equations
1.2 Linear Equations in One Variable
1.3 Modeling with Linear Equations
1.4 Quadratic Equations and Applications
1.5 Complex Numbers
1.6 Other Types of Equations
1.7 Linear Inequalities in One Variable
1.8 Other Types of Inequalities

2. Functions and Their Graphs

2.1 Linear Equations in Two Variables
2.2 Functions
2.3 Analyzing Graphs of Functions
2.4 A Library of Functions
2.5 Transformations of Functions
2.6 Combinations of Functions: Composite Functions
2.7 Inverse Functions
Cumulative Test: Chapters P-2

3. Polynomial Functions

3.1 Quadratic Functions and Models
3.2 Polynomial Functions of Higher Degree
3.3 Polynomial and Synthetic Division
3.4 Zeros of Polynomial Functions
3.5 Mathematical Modeling and Variation

4. Rational Functions and Conics

4.1 Rational Functions and Asymptotes
4.2 Graphs of Rational Functions
4.3 Conics
4.4 Translations of Conics

5. Exponential and Logarithmic Functions

5.1 Exponential Functions and Their Graphs
5.2 Logarithmic Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Exponential and Logarithmic Models
Cumulative Test: Chapters 3-5

6. Systems of Equations and Inequalities

6.1 Linear and Nonlinear Systems of Equations
6.2 Two-Variable Linear Systems
6.3 Multivariable Linear Systems
6.4 Partial Fractions
6.5 Systems of Inequalities
6.6 Linear Programming

7. Matrices and Determinants

7.1 Matrices and Systems of Equations
7.2 Operations with Matrices
7.3 The Inverse of a Square Matrix
7.4 The Determinant of a Square Matrix
7.5 Applications of Matrices and Determinants

8. Sequences, Series, and Probability

8.1 Sequences and Series
8.2 Arithmetic Sequences and Partial Sums
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Counting Principles
8.7 Probability
Cumulative Test: Chapters 6-8

Appendix A. Concepts in Statistics (web)

A.1 Representing Data
A.2 Measures of Central Tendency and Dispersion
A.3 Least Squares Regression

Alternative/Expanded Version of Chapter P (Resource CD and Web)

P.1 Operations with Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.1)
P.2 Properties of Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.2)
P.3 Algebraic Expressions (Pick up from Int. Alg. G&F 3/e Section 1.1)
P.4 Operations with Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.2)
P.5 Factoring Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.3)
P.6 Factoring Trinomials (Pick up from Int. Alg. G&F 3/e Section 1.4)