This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

College Algebra by Ratti and McWaters

From Mathematics Is A Science

Jump to: navigation, search

College Algebra, 2/E by J. S. Ratti and Marcus S. McWaters

ISBN-10: 0321640314, ISBN-13: 9780321640314

Used it for College Algebra -- Fall 2011, see also College algebra: course. It's better than many others I've seen.

Table of Contents

P. Basic Concepts of Algebra

P.1 The Real Numbers and Their Properties

P.2 Integer Exponents and Scientific Notation

P.3 Polynomials

P.4 Factoring Polynomials

P.5 Rational Expressions

P.6 Rational Exponents and Radicals

P.7 Topics in Geometry

1. Equations and Inequalities

1.1 Linear Equations in One Variable

1.2 Applications of Linear Equations

1.3 Complex Numbers

1.4 Quadratic Equations

1.5 Solving Other Types of Equations

1.6 Linear Inequalities

1.7 Equations and Inequalities Involving Absolute Value

2. Graphs and Functions

2.1 The Coordinate Plane

2.2 Graphs of Equations

2.3 Lines

2.4 Relations and Functions

2.5 Properties of Functions

2.6 A Library of Functions

2.7 Transformations of Functions

2.8 Combining Functions; Composite Functions

2.9 Inverse Functions

3. Polynomial and Rational Functions

3.1 Quadratic Functions

3.2 Polynomial Functions

3.3 Dividing Polynomials

3.4 The Real Zeros of a Polynomial Function

3.5 The Complex Zeros of a Polynomial Function

3.6 Rational Functions

3.7 Polynomial and Rational Inequalities

3.8 Variation

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 The Natural Exponential Function

4.3 Logarithmic Functions

4.4 Rules of Logarithms

4.5 Exponential and Logarithmic Equations

5. Systems of Equations and Inequalities

5.1 Systems of Linear Equations in Two Variables

5.2 Systems of Linear Equations in Three Variables

5.3 Systems of Nonlinear Equations

5.4 Systems of Inequalities

5.5 Linear Programming

5.6 Partial-Fraction Decomposition

6. Matrices and Determinants

6.1 Matrices and Systems of Equations

6.2 Matrix Algebra

6.3 The Matrix Inverse

6.4 Determinants and Cramer's Rule

7. Conic Sections

7.1 Conic Sections: Overview

7.2 The Parabola

7.3 The Ellipse

7.4 The Hyperbola

8. Further Topics in Algebra

8.1 Sequences and Series

8.2 Arithmetic Sequences; Partial Sums

8.3 Geometric Sequences and Series

8.4 Mathematical Induction

8.5 The Binomial Theorem

8.6 Counting Principles

8.7 Probability