College algebra / Robert Blitzer

1. Fundamentals and concepts
1.1 The real numbers system
1.2 Intervals, absolute value and distance
1.3 Integers and rational number exponents
etc...

2. Equations and inequalities
2.1 Linear equations
2.2 Formulas and applications
2.3 Quadratic equations
etc...

3. Functions and graphs
3.1 A Two-dimensional coordinate system and graphs
3.2 Introduction to functions
3.3 Linear functions
etc...

4. Polynomial and rational functions
4.1 Polynomial division and synthetic division
4.2 Introduction to polynomial functions
4.3 Zeros of polynomial functions
etc...

5. Exponential and logarithmic functions
5.1 Exponential functions and their graphs
5.2 Logarithms and logarithmic properties
5.3 Logarithmic functions and their graphs
etc...

6. Topics in analytic geometry
6.1 Parabolas
6.2 Ellipses
6.3 Hyperbolas
etc...

7. Systems of equations
7.1 Systems of linear equations in two variables
7.2 Systems of linear equations in more than two variables
7.3 Nonlinear systems of equations
etc...

8. Matrices
8.1 Gaussian elimination method
8.2 The algebra of matrices
8.3 The inverse of matrix
etc...

9. Sequences, series and probability
9.1 Infinite sequences and summation notation
9.2 Arithmetic sequences and series
9.3 Geometric sequences and series
etc...
Solutions to the selected exercises





Table of Contents
P. Prerequisites: Fundamental Concepts of Algebra
1. Equations and Inequalities
2. Functions and Graphs
3. Polynomial and Rational Functions
4. Exponential and Logarithmic Functions
5. Systems of Equations and Inequalities
6. Matrices and Determinants
7. Conic Sections
8. Sequences, Induction, and Probability

Includes index: P I-1-I-10