Algebra with Trigonometry for College Students (with CD-ROM, Make the Grade, and InfoTrac)

by McKeague, Charles

• ISBN13: 9780534432959
• ISBN10: 0534432956
• Additional ISBN(s): 9780030344466, 9781285737140
• Edition: 5th
• Format: Hardcover
• Copyright: 2001-12-20
• Publisher: Cengage Learning
• More Book Details

Summary

This text, written by best-selling developmental mathematics author Pat McKeague, features a more streamlined review of elementary algebra, allowing for earlier coverage of intermediate topics. An early introduction to graphing presents the foundation for a wide variety of graphing problems throughout the text. Early coverage of functions helps students feel comfortable with the many examples and graphs of functions that occur in later chapters. The first ten chapters of this book cove the topics usually found in a college-level algebra course. The last three chapters cover the essential topics from trigonometry. Optional technology sections and integrated throughout text as a way for students to better understand the material being discussed.

Table of Contents

Preface to the Instructor	p. vi
Preface to the Student	p. xiii
Basic Properties and Definitions	p. 1
Fundamental Definitions and Notation	p. 3
Properties of Real Numbers	p. 16
Arithmetic With Real Numbers	p. 27
Exponents and Scientific Notation	p. 38
Polynomials, Sums, Differences, and Products	p. 49
Factoring	p. 61
Special Factoring	p. 70
Recognizing Patterns	p. 79
Summary	p. 90
Review	p. 94
Test	p. 96
Projects	p. 97
Equations and Inequalities in One Variable	p. 99
Linear and Quadratic Equations in One Variable	p. 101
Formulas	p. 112
Applications	p. 126
Linear Inequalities in One Variable	p. 143
Equations With Absolute Value	p. 154
Inequalities Involving Absolute Value	p. 159
Summary	p. 167
Review	p. 169
Test	p. 171
Cumulative Review	p. 172
Projects	p. 173
Equations and Inequalities in Two Variables	p. 176
Paired Data and the Rectangular Coordinate System	p. 178
The Slope of a Line	p. 192
The Equation of a Line	p. 202
Linear Inequalities in Two Variables	p. 215
Introduction to Functions	p. 223
Function Notation	p. 236
Algebra With Functions	p. 247
Variation	p. 254
Summary	p. 266
Review	p. 269
Test	p. 270
Cumulative Review	p. 271
Projects	p. 272
Systems of Linear Equations and Inequalities	p. 274
Systems of Linear Equations in Two Variables	p. 276
Systems of Linear Equations in Three Variables	p. 289
Introduction to Determinants	p. 298
Cramer's Rule	p. 306
Applications	p. 312
Systems of Linear Inequalities	p. 327
Summary	p. 336
Review	p. 339
Test	p. 340
Cumulative Review	p. 341
Projects	p. 343
Rational Expressions and Rational Functions	p. 345
Basic Properties and Reducing to Lower Terms	p. 347
Division of Polynomials	p. 360
Multiplication and Division of Rational Expressions	p. 371
Addition and Subtraction of Rational Expressions	p. 380
Complex Fractions	p. 389
Equations Involving Rational Expressions	p. 394
Applications	p. 405
Summary	p. 417
Review	p. 419
Test	p. 420
Cumulative Review	p. 421
Projects	p. 422
Rational Exponents and Roots	p. 424
Rational Exponents	p. 426
More Expressions Involving Rational Exponents	p. 438
Simplified Form for Radicals	p. 445
Addition and Subtraction of Radical Expressions	p. 457
Multiplication and Division of Radical Expressions	p. 461
Equations With Radicals	p. 468
Complex Numbers	p. 478
Summary	p. 486
Review	p. 488
Test	p. 489
Cumulative Review	p. 490
Projects	p. 491
Quadratic Functions	p. 493
Completing the Square	p. 494
The Quadratic Formula	p. 505
Additional Items Involving Solutions to Equations	p. 516
Equations Quadratic in Form	p. 526
Graphing Parabolas	p. 535
Quadratic Inequalities	p. 549
Summary	p. 560
Review	p. 561
Test	p. 562
Cumulative Review	p. 563
Projects	p. 564
Exponential and Logarithmic Functions	p. 566
Exponential Functions	p. 567
The Inverse of a Function	p. 578
Logarithms Are Exponents	p. 588
Properties of Logarithms	p. 597
Common Logarithms and Natural Logarithms	p. 602
Exponential Equations and Change of Base	p. 611
Summary	p. 620
Review	p. 621
Test	p. 623
Cumulative Review	p. 623
Projects	p. 624
Sequences and Series	p. 627
Sequences	p. 628
Series	p. 637
Arithmetic Sequences	p. 644
Geometric Sequences	p. 651
The Binomial Expansion	p. 661
Summary	p. 669
Review	p. 671
Test	p. 672
Cumulative Review	p. 673
Projects	p. 674
Conic Sections	p. 676
The Circle	p. 677
Ellipses and Hyperbolas	p. 686
Second-Degree Inequalities and Nonlinear Systems	p. 700
Summary	p. 708
Review	p. 709
Test	p. 710
Cumulative Review	p. 710
Projects	p. 711
Introduction to Trigonometry	p. 713
Degrees, Radians, and Special Triangles	p. 714
Trigonometric Functions	p. 724
Trigonometric Functions and Calculators	p. 731
Graphing I: Amplitude and Period	p. 743
Graphing II: Phase Shift	p. 758
Finding an Equation from Its Graph	p. 768
Inverse Trigonometric Functions	p. 779
Summary	p. 785
Review	p. 788
Test	p. 790
Cumulative Review	p. 791
Projects	p. 793
Trigonometric Identities and Equations	p. 795
Introduction to Identities	p. 796
Proving Identities	p. 804
Sum and Difference Formulas	p. 809
Double-Angle and Half-Angle Formulas	p. 817
Solving Trigonometric Equations	p. 823
Summary	p. 830
Review	p. 832
Test	p. 833
Cumulative Review	p. 833
Projects	p. 835
Triangles	p. 837
Definition II: Right Triangle Trigonometry	p. 838
The Law of Sines	p. 851
The Ambiguous Case	p. 857
The Law of Cosines	p. 862
Summary	p. 868
Review	p. 870
Test	p. 871
Cumulative Review	p. 871
Projects	p. 873
Synthetic Division	p. 1
Matrix Solutions to Linear Systems	p. 1
Conditional Statements	p. 1
Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews	p. 1
Index	p. 1
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