Download This **PDF **Book: Algebra and Trigonometry with Analytic Geometry, Classic Edition (Available 2010 Titles Enhanced Web Assign) 12 Edition by Earl Swokowski, Jeffery A. Cole.

The latest edition in the highly respected Swokowski/Cole precalculus series retains the elements that have made it so popular with instructors and students alike: its exposition is clear, the time-tested exercise sets feature a variety of applications, its uncluttered layout is appealing, and the difficulty level of problems is appropriate and consistent.

Mathematically sound, ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY, CLASSIC EDITION, 12E, effectively prepares students for further courses in mathematics through its excellent, time-tested problem sets.

## About the Author

Earl Swokowski authored multiple editions of numerous successful textbooks, including CALCULUS; CALCULUS OF A SINGLE VARIABLE; FUNDAMENTALS OF COLLEGE ALGEBRA; and PRECALCULUS: FUNCTIONS AND GRAPHS, all published by Cengage Learning Brooks/Cole.

Jeffery A. Cole has been teaching mathematics and computer science at Anoka-Ramsey Community College since fall 1981. He started working on the Swokowski series of precalculus texts in 1985 as an ancillary author, and has been a co-author since 1991. His contribution to the Swokowski texts also includes joining the revision team of the calculus text in 198.

## CONTENTS:

CHAPTER 1 Fundamental Concepts of Algebra

CHAPTER 2 Equations and Inequalities

CHAPTER 3 Functions and Graphs

CHAPTER 4 Polynomial and Rational Functions

CHAPTER 5 Inverse, Exponential, and Logarithmic Functions

CHAPTER 6 The Trigonometric Functions

CHAPTER 7 Analytic Trigonometry

CHAPTER 8 Applications of Trigonometry

CHAPTER 9 Systems of Equations and Inequalities

CHAPTER 10 Sequences, Series, and Probability

CHAPTER 11 Topics from Analytic Geometry

## Overview:

Chap 1: This chapter contains a summary of some basic algebra topics. Students should be familiar with much of this material, but also challenged by some of the exercises that prepare them for calculus

Chap 2: Equations and inequalities are solved algebraically in this chapter. Students will extend their knowledge of these topics; for example, they have worked with the quadratic formula, but will be asked to relate it to factoring and work with coefficients that are not real numbers (see Examples 10 and 11 in Section 2.3).

Chap 3: Two-dimensional graphs and functions are introduced in this chapter. See the updated Example 10 in Section 3.5 for a topical application (taxes) that relates tables, formulas, and graphs.

Chap 4: This chapter begins with a discussion of polynomial functions and some polynomial theory. A thorough treatment of rational functions is given in Section 4.5. This is followed by a section on variation, which includes graphs of simple polynomial and rational functions

Chap 5: Inverse functions are the first topic of discussion (see new Example 4 in Section 5.1 for a relationship to rational functions), followed by several sections that deal with exponential and logarithmic functions. Modeling an exponential function is given additional attention in this chapter (see Example 8 in Section 5.2) as well as in Chapter 9

Chap 6: Angles are the first topic in this chapter. Next, the trigonometric functions are introduced using a right triangle approach and then defined in terms of a unit circle. Basic trigonometric identities appear throughout the chapter. The chapter concludes with sections on trigonometric graphs and applied problems.

Chap 7: This chapter consists mostly of trigonometric identities, formulas, and equations. The last section contains definitions, properties, and applications of the inverse trigonometric functions.

Chap 8: The law of sines and the law of cosines are used to solve oblique triangles. Vectors are then introduced and used in applications. The last two sections relate the trigonometric functions and complex numbers.

Chap 9: Systems of inequalities and linear programming immediately follow solving systems by substitution and elimination. Next, matrices are introduced and used to solve systems. This chapter concludes with a discussion of determinants and partial fractions.

Chap 10: This chapter begins with a discussion of sequences. Mathematical induction and the binomial theorem are next, followed by counting topics (see Example 3 in Section 10.7 for an example involving both combinations and permutations). The last section is about probability and includes topics such as odds and expected value.

Chap 11:Sections on the parabola, ellipse, and hyperbola begin this chapter. Two different ways of representing functions are given in the next sections on parametric equations and polar coordinates.

## About The Book:

Publisher : Cengage Learning; 012 edition (January 28, 2009)

Language : English

File : **PDF**, 6MB

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