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Fundamentals of College Algebra

ISBN: 9780534377588 | 0534377580
Edition: 10th
Format: Paperback
Publisher: Brooks Cole
Pub. Date: 1/19/2001

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Table of Contents
... MORE
List of Graphing Calculator Topicsp. viii
Prefacep. xi
Fundamental Concepts of Algebrap. 1
Real Numbersp. 2
Exponents and Radicalsp. 19
Algebraic Expressionsp. 31
Fractional Expressionsp. 45
Chapter 1 Review Exercisesp. 56
Chapter 1 Discussion Exercisesp. 58
Equations and Inequalitiesp. 59
Equationsp. 60
Applied Problemsp. 69
Quadratic Equationsp. 80
Complex Numbersp. 94
Other Types of Equationsp. 101
Inequalitiesp. 110
More on Inequalitiesp. 119
Chapter 2 Review Exercisesp. 127
Chapter 2 Discussion Exercisesp. 130
Functions and Graphsp. 131
Rectangular Coordinate Systemsp. 132
Graphs of Equationsp. 141
Linesp. 157
Definition of Functionp. 175
Graphs of Functionsp. 193
Quadratic Functionsp. 209
Operations on Functionsp. 224
Inverse Functionsp. 235
Variationp. 245
Chapter 3 Review Exercisesp. 252
Chapter 3 Discussion Exercisesp. 258
Polynomial and Rational Functionsp. 261
Polynomial Functions of Degree Greater Than 2p. 262
Properties of Divisionp. 273
Zeros of Polynomialsp. 281
Complex and Rational Zeros of Polynomialsp. 295
Rational Functionsp. 303
Chapter 4 Review Exercisesp. 321
Chapter 4 Discussion Exercisesp. 323
Exponential and Logarithmic Functionsp. 325
Exponential Functionsp. 326
The Natural Exponential Functionp. 338
Logarithmic Functionsp. 348
Properties of Logarithmsp. 364
Exponential and Logarithmic Equationsp. 372
Chapter 5 Review Exercisesp. 385
Chapter 5 Discussion Exercisesp. 388
Systems of Equations and Inequalitiesp. 391
Systems of Equationsp. 392
Systems of Linear Equations in Two Variablesp. 401
Systems of Inequalitiesp. 410
Linear Programmingp. 419
Systems of Linear Equations in More Than Two Variablesp. 428
The Algebra of Matricesp. 443
The Inverse of a Matrixp. 453
Determinantsp. 460
Properties of Determinantsp. 467
Partial Fractionsp. 475
Chapter 6 Review Exercisesp. 481
Chapter 6 Discussion Exercisesp. 484
Sequences, Series, and Probabilityp. 487
Infinite Sequences and Summation Notationp. 488
Arithmetic Sequencesp. 504
Geometric Sequencesp. 511
Mathematical Inductionp. 520
The Binomial Theoremp. 527
Permutationsp. 536
Distinguishable Permutations and Combinationsp. 543
Probabilityp. 552
Chapter 7 Review Exercisesp. 565
Chapter 7 Discussion Exercisesp. 568
Topics from Analytic Geometryp. 571
Parabolasp. 572
Ellipsesp. 582
Hyperbolasp. 596
Chapter 8 Review Exercisesp. 608
Chapter 8 Discussion Exercisesp. 609
Appendixesp. 611
Common Graphs and Their Equationsp. 612
A Summary of Graph Transformationsp. 614
Answers to Selected Exercisesp. 1
Index of Applicationsp. 54
Indexp. 58
Table of Contents provided by Syndetics. All Rights Reserved.

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