College Algebra

by Gustafson, R. David

• ISBN13: 9780534351618
• ISBN10: 0534351611
• Edition: 2nd
• Format: Paperback
• Copyright: 1998-02-01
• Publisher: Brooks Cole

Table of Contents

Prerequisites for College Algebra	p. 1
Sets of Real Numbers	p. 2
Integer Exponents and Scientific Notation	p. 13
Rational Exponents and Radicals	p. 24
Polynomials	p. 35
Factoring Polynomials	p. 46
Algebraic Fractions	p. 55
Problems and Projects	p. 65
Chapter Summary	p. 68
Chapter Test	p. 73
Equations and Inequalities	p. 75
Equations	p. 76
Applications of Linear Equations	p. 84
Quadratic Equations	p. 93
Applications of Quadratic Equations	p. 103
Complex Numbers	p. 110
Polynomial and Radical Equations	p. 119
Inequalities	p. 125
Absolute Value	p. 137
Problems and Projects	p. 144
Chapter Summary	p. 145
Chapter Test	p. 149
Cumulative Review Exercises	p. 150
The Rectangular Coordinate System and Graphs of Equations	p. 153
The Rectangular Coordinate System	p. 154
The Slope of a Nonvertical Line	p. 169
Writing Equations of Lines	p. 180
Graphs of Equations	p. 192
Proportion and Variation	p. 207
Problems and Projects	p. 215
Chapter Summary	p. 216
Chapter Test	p. 222
Functions	p. 224
Functions and Function Notation	p. 225
Quadratic Functions	p. 236
Polynomial and Other Functions	p. 246
Translating and Stretching Graphs	p. 255
Rational Functions	p. 265
Operations on Functions	p. 279
Inverse Functions	p. 289
Problems and Projects	p. 297
Chapter Summary	p. 298
Chapter Test	p. 302
Cumulative Review Exercises	p. 304
Exponential and Logarithmic Functions	p. 306
Exponential Functions and Their Graphs	p. 307
Applications of Exponential Functions	p. 319
Logarithmic Functions and Their Graphs	p. 325
Applications of Logarithmic Functions	p. 335
Properties of Logarithms	p. 340
Exponential and Logarithmic Equations	p. 350
Problems and Projects	p. 357
Chapter Summary	p. 359
Chapter Test	p. 363
Solving Polynomial Equations	p. 365
The Remainder and Factor Theorems; Synthetic Division	p. 366
Descartes' Rule of Signs and Bounds on Roots	p. 375
Rational Roots of Polynomial Equations	p. 381
Irrational Roots of Polynomial Equations	p. 389
Problems and Projects	p. 394
Chapter Summary	p. 395
Chapter Test	p. 398
Cumulative Review Exercises	p. 398
Linear Systems	p. 400
Systems of Linear Equations	p. 401
Gaussian Elimination and Matrix Methods	p. 413
Matrix Algebra	p. 423
Matrix Inversion	p. 436
Determinants	p. 443
Partial Fractions	p. 456
Graphs of Linear Inequalities	p. 463
Linear Programming	p. 469
Problems and Projects	p. 478
Chapter Summary	p. 480
Chapter Test	p. 485
Conic Sections and Quadratic Systems	p. 487
The Circle and the Parabola	p. 488
The Ellipse	p. 501
The Hyperbola	p. 512
Solving Simultaneous Second-Degree Equations	p. 521
Problems and Projects	p. 526
Chapter Summary	p. 528
Chapter Test	p. 532
Cumulative Review Exercises	p. 533
Natural-Number Functions and Probability	p. 535
The Binomial Theorem	p. 536
Sequences, Series, and Summation Notation	p. 541
Arithmetic Sequences	p. 548
Geometric Sequences	p. 553
Mathematical Induction	p. 561
Permutations and Combinations	p. 566
Probability	p. 575
Computation of Compound Probabilities	p. 581
Odds and Mathematical Expectation	p. 586
Problems and Projects	p. 589
Chapter Summary	p. 591
Chapter Test	p. 595
The Mathematics of Finance	p. 597
Compound Interest	p. 598
Annuities and Future Value	p. 606
Present Value of an Annuity; Amortization	p. 612
Problems and Projects	p. 617
Chapter Summary	p. 619
Chapter Test	p. 621
Cumulative Review Exercises	p. 622
A Proof of the Binomial Theorem	p. 1
Tables	p. 3
Powers and Roots	p. 3
Base-10 Logarithms	p. 4
Base-e Logarithms	p. 5
Answers to Selected Exercises	p. 6
Index	p. 1
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