Algebra and Trigonometry with Analytic Geometry, Classic Edition (with CD-ROM and iLrn™)

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  • Edition: 11th
  • Format: Hardcover
  • Copyright: 2005-03-30
  • Publisher: Brooks Cole
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This 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. The goal of this text is to prepare students for further courses in mathematics. Mathematically sound, ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY (CLASSIC EDITION), Eleventh Edition, effectively prepares students for further courses in mathematics through its excellent, time-tested problem sets.

Table of Contents

Prefacep. viii
Fundamental Concepts of Algebrap. 1
Real Numbersp. 2
Exponents and Radicalsp. 16
Algebraic Expressionsp. 27
Fractional Expressionsp. 40
Chapter 1 Review Exercisesp. 49
Chapter 1 Discussion Exercisesp. 51
Equations and Inequalitiesp. 53
Equationsp. 54
Applied Problemsp. 61
Quadratic Equationsp. 73
Complex Numbersp. 87
Other Types of Equationsp. 94
Inequalitiesp. 102
More on Inequalitiesp. 111
Chapter 2 Review Exercisesp. 119
Chapter 2 Discussion Exercisesp. 122
Functions and Graphsp. 123
Rectangular Coordinate Systemsp. 124
Graphs of Equationsp. 130
Linesp. 140
Definition of Functionp. 155
Graphs of Functionsp. 171
Quadratic Functionsp. 185
Operations on Functionsp. 197
Chapter 3 Review Exercisesp. 205
Chapter 3 Discussion Exercisesp. 210
Polynomial and Rational Functionsp. 213
Polynomial Functions of Degree Greater Than 2p. 214
Properties of Divisionp. 222
Zeros of Polynomialsp. 229
Complex and Rational Zeros of Polynomialsp. 241
Rational Functionsp. 248
Variationp. 265
Chapter 4 Review Exercisesp. 272
Chapter 4 Discussion Exercisesp. 275
Inverse, Exponential, and Logarithmic Functionsp. 277
Inverse Functionsp. 278
Exponential Functionsp. 287
The Natural Exponential Functionp. 299
Logarithmic Functionsp. 308
Properties of Logarithmsp. 323
Exponential and Logarithmic Equationsp. 330
Chapter 5 Review Exercisesp. 342
Chapter 5 Discussion Exercisesp. 345
The Trigonometric Functionsp. 347
Anglesp. 348
Trigonometric Functions of Anglesp. 358
Trigonometric Functions of Real Numbersp. 375
Values of the Trigonometric Functionsp. 393
Trigonometric Graphsp. 400
Additional Trigonometric Graphsp. 412
Applied Problemsp. 420
Chapter 6 Review Exercisesp. 433
Chapter 6 Discussion Exercisesp. 439
Analytic Trigonometryp. 441
Verifying Trigonometric Identitiesp. 442
Trigonometric Equationsp. 447
The Addition and Subtraction Formulasp. 457
Multiple-Angle Formulasp. 467
Product-to-Sum and Sum-to-Product Formulasp. 477
The Inverse Trigonometric Functionsp. 482
Chapter 7 Review Exercisesp. 496
Chapter 7 Discussion Exercisesp. 499
Applications of Trigonometryp. 501
The Law of Sinesp. 502
The Law of Cosinesp. 512
Vectorsp. 522
The Dot Productp. 536
Trigonometric Form for Complex Numbersp. 546
De Moivre's Theorem and nth Roots of Complex Numbersp. 552
Chapter 8 Review Exercisesp. 557
Chapter 8 Discussion Exercisesp. 560
Systems of Equations and Inequalitiesp. 563
Systems of Equationsp. 564
Systems of Linear Equations in Two Variablesp. 573
Systems of Inequalitiesp. 582
Linear Programmingp. 590
Systems of Linear Equations in More Than Two Variablesp. 598
The Algebra of Matricesp. 614
The Inverse of a Matrixp. 623
Determinantsp. 628
Properties of Determinantsp. 634
Partial Fractionsp. 642
Chapter 9 Review Exercisesp. 648
Chapter 9 Discussion Exercisesp. 651
Sequences, Series, and Probabilityp. 653
Infinite Sequences and Summation Notationp. 654
Arithmetic Sequencesp. 664
Geometric Sequencesp. 671
Mathematical Inductionp. 680
The Binomial Theoremp. 686
Permutationsp. 695
Distinguishable Permutations and Combinationsp. 702
Probabilityp. 709
Chapter 10 Review Exercisesp. 723
Chapter 10 Discussion Exercisesp. 725
Topics from Analytic Geometryp. 727
Parabolasp. 728
Ellipsesp. 737
Hyperbolasp. 750
Plane Curves and Parametric Equationsp. 762
Polar Coordinatesp. 772
Polar Equations of Conicsp. 786
Chapter 11 Review Exercisesp. 792
Chapter 11 Discussion Exercisesp. 794
Appendixesp. 797
Common Graphs and Their Equationsp. 798
A Summary of Graph Transformationsp. 800
Graphs of Trigonometric Functions and Their Inversesp. 802
Values of the Trigonometric Functions of Special Angles on a Unit Circlep. 804
Answers to Selected Exercisesp. A1
Index of Applicationsp. A79
Indexp. A84
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