Fundamentals of College Algebra

by Swokowski, Earl; Cole, Jeffery A.

• ISBN13: 9780534377588
• ISBN10: 0534377580
• Edition: 10th
• Format: Hardcover
• Copyright: 2001-01-19
• Publisher: Brooks Cole

Table of Contents

List of Graphing Calculator Topics	p. viii
Preface	p. xi
Fundamental Concepts of Algebra	p. 1
Real Numbers	p. 2
Exponents and Radicals	p. 19
Algebraic Expressions	p. 31
Fractional Expressions	p. 45
Chapter 1 Review Exercises	p. 56
Chapter 1 Discussion Exercises	p. 58
Equations and Inequalities	p. 59
Equations	p. 60
Applied Problems	p. 69
Quadratic Equations	p. 80
Complex Numbers	p. 94
Other Types of Equations	p. 101
Inequalities	p. 110
More on Inequalities	p. 119
Chapter 2 Review Exercises	p. 127
Chapter 2 Discussion Exercises	p. 130
Functions and Graphs	p. 131
Rectangular Coordinate Systems	p. 132
Graphs of Equations	p. 141
Lines	p. 157
Definition of Function	p. 175
Graphs of Functions	p. 193
Quadratic Functions	p. 209
Operations on Functions	p. 224
Inverse Functions	p. 235
Variation	p. 245
Chapter 3 Review Exercises	p. 252
Chapter 3 Discussion Exercises	p. 258
Polynomial and Rational Functions	p. 261
Polynomial Functions of Degree Greater Than 2	p. 262
Properties of Division	p. 273
Zeros of Polynomials	p. 281
Complex and Rational Zeros of Polynomials	p. 295
Rational Functions	p. 303
Chapter 4 Review Exercises	p. 321
Chapter 4 Discussion Exercises	p. 323
Exponential and Logarithmic Functions	p. 325
Exponential Functions	p. 326
The Natural Exponential Function	p. 338
Logarithmic Functions	p. 348
Properties of Logarithms	p. 364
Exponential and Logarithmic Equations	p. 372
Chapter 5 Review Exercises	p. 385
Chapter 5 Discussion Exercises	p. 388
Systems of Equations and Inequalities	p. 391
Systems of Equations	p. 392
Systems of Linear Equations in Two Variables	p. 401
Systems of Inequalities	p. 410
Linear Programming	p. 419
Systems of Linear Equations in More Than Two Variables	p. 428
The Algebra of Matrices	p. 443
The Inverse of a Matrix	p. 453
Determinants	p. 460
Properties of Determinants	p. 467
Partial Fractions	p. 475
Chapter 6 Review Exercises	p. 481
Chapter 6 Discussion Exercises	p. 484
Sequences, Series, and Probability	p. 487
Infinite Sequences and Summation Notation	p. 488
Arithmetic Sequences	p. 504
Geometric Sequences	p. 511
Mathematical Induction	p. 520
The Binomial Theorem	p. 527
Permutations	p. 536
Distinguishable Permutations and Combinations	p. 543
Probability	p. 552
Chapter 7 Review Exercises	p. 565
Chapter 7 Discussion Exercises	p. 568
Topics from Analytic Geometry	p. 571
Parabolas	p. 572
Ellipses	p. 582
Hyperbolas	p. 596
Chapter 8 Review Exercises	p. 608
Chapter 8 Discussion Exercises	p. 609
Appendixes	p. 611
Common Graphs and Their Equations	p. 612
A Summary of Graph Transformations	p. 614
Answers to Selected Exercises	p. 1
Index of Applications	p. 54
Index	p. 58
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