Fundamentals of College Algebra (with CD-ROM)

by Swokowski, Earl W.; Cole, Jeffery A.

• ISBN13: 9780534390587
• ISBN10: 0534390587
• Edition: CD
• Format: Hardcover
• Copyright: 2001-12-03
• Publisher: Brooks Cole

Summary

A classic in the series of highly respected Swokowski and Cole mathematics books, the Tenth Edition of FUNDAMENTALS OF COLLEGE ALGEBRA retains the elements that have made it so popular. Once again, the book provides a clear writing style, an appealing uncluttered layout, clear exposition, time-tested exercise sets that feature a variety of applications, and problems that are appropriate and consistent in level of difficulty. This book is clearly sets itself apart from the competition--it is mathematically sound, prepares students for further mathematics courses, and offers excellent problem sets. This new edition has been improved and all of the chapters now include numerous technology inserts with specific keystrokes for the TI-83 Plus and the TI-86 graphing calculators, which is very helpful to students who are working with a calculator for the first time.

Table of Contents

List of Graphing Calculator Topics	viii
Preface	xi
Fundamental Concepts of Algebra	1	(58)
Real Numbers	2	(17)
Exponents and Radicals	19	(12)
Algebraic Expressions	31	(14)
Fractional Expressions	45	(14)
Review Exercises	56	(2)
Discussion Exercises	58	(1)
Equations and Inequalities	59	(72)
Equations	60	(9)
Applied Problems	69	(11)
Quadratic Equations	80	(14)
Complex Numbers	94	(7)
Other Types of Equations	101	(9)
Inequalities	110	(9)
More on Inequalities	119	(12)
Review Exercises	127	(3)
Discussion Exercises	130	(1)
Functions and Graphs	131	(130)
Rectangular Coordinate Systems	132	(9)
Graphs of Equations	141	(16)
Lines	157	(18)
Definition of Function	175	(18)
Graphs of Functions	193	(16)
Quadratic Functions	209	(15)
Operations on Functions	224	(11)
Inverse Functions	235	(10)
Variation	245	(16)
Review Exercises	252	(6)
Discussion Exercises	258	(3)
Polynomial and Rational Functions	261	(64)
Polynomial Functions of Degree Greater Than 2	262	(11)
Properties of Division	273	(8)
Zeros of Polynomials	281	(14)
Complex and Rational Zeros of Polynomials	295	(8)
Rational Functions	303	(22)
Review Exercises	321	(2)
Discussion Exercises	323	(2)
Exponential and Logarithmic Functions	325	(66)
Exponential Functions	326	(12)
The Natural Exponential Function	338	(10)
Logarithmic Functions	348	(16)
Properties of Logarithms	364	(8)
Exponential and Logarithmic Equations	372	(19)
Review Exercises	385	(3)
Discussion Exercises	388	(3)
Systems of Equations and Inequalities	391	(96)
Systems of Equations	392	(9)
Systems of Linear Equations in Two Variables	401	(9)
Systems of Inequalities	410	(9)
Linear Programming	419	(9)
Systems of Linear Equations in More Than Two Variables	428	(15)
The Algebra of Matrices	443	(10)
The Inverse of a Matrix	453	(7)
Determinants	460	(7)
Properties of Determinants	467	(8)
Partial Fractions	475	(12)
Review Exercises	481	(3)
Discussion Exercises	484	(3)
Sequences, Series, and Probability	487	(84)
Infinite Sequences and Summation Notation	488	(16)
Arithmetic Sequences	504	(7)
Geometric Sequences	511	(9)
Mathematical Induction	520	(7)
The Binomial Theorem	527	(9)
Permutations	536	(7)
Distinguishable Permutations and Combinations	543	(9)
Probability	552	(19)
Review Exercises	565	(3)
Discussion Exercises	568	(3)
Topics from Analytic Geometry	571	(40)
Parabolas	572	(10)
Ellipses	582	(14)
Hyperbolas	596	(15)
Review Exercises	608	(1)
Discussion Exercises	609	(2)
Appendixes	611
I Common Graphs and Their Equations	612
II A Summary of Graph Transformations	614
Answers to Selected Exercises	A1
Index of Applications	A54
Index	A58