TY - BOOK AU - Swokowski, Earl William AU - Jeffery A. Cole. TI - Algebra and trigonometry with analytic geometry SN - 534435297 AV - QA 331.3 .S96 2002 PY - 2002/// CY - Australia PB - Thomson/Brooks Cole KW - ALGEBRA -- TEXTBOOKS N1 - Includes index; CHAPTER 1 r ndatnIenta Concept hi 1 1.i Real Numbers 2 1.2 Exponents and Radicals 19 1.3 Algebraic Expressions 31 14 Fractional Expressions 45 Chapter 1 Review Exercises 56 Chapter I Discussion Exercises 58 CHAPTER 2 qFuationsd and,lequai tr ' 59 2.1 Equations 60 2.2 Applied Problems 69 2.3 Quadratic Equations 80 2.4 Complex Numbers 95 2.5 Other Types of Equations 103 2.6 Inequalities 11 2 2.7 More on Inequalities 121 Chapter 2 Review Exercises 129 Chapter 2 Discussion Exercises 132 CHAPTER 3 F ctlo.s nd Gra hs 133 3.1 Rectangular Coordinate Systems 134 312 Graphs of Equations 143 3.3 Lines 159 3.4 Definition of Function 178 3.5 Graphs of Functions 196 3.6 Quadratic Functions 213 3,7 Operations on Functions 229 Chapter 3 Review Exercises 239 Chapter 3 Discussion Exercises 245 CHA P ER 4 PonoinGal and RaHional Functions 247 4.1 Polynomial Functions of Degree Greater Than 2 248 4.2 Properties of Division 259 43 Zeros of Polynomials 267 4.4 Complex and Rational Zeros of Polynomials 281 4.5 Rational Functions 289 4�6 Variation 307 Chapter 4 Review Exercises 315 Chapter 4 Discussion Exercises 317 CHAPTER 5 L vers, Eponential, and Logarithmic Functions 319 5A Inverse Functions 320 5,: 2? Exponential Functions 331 1.3 The Natural Exponential Function 344 5.4 Logarithmic Functions 355 5 c Properties of LoTarithms 370 5.6 Exponential and Logarithmic Equations 378 Chapter 5 Review Exercises 392 Chapter 5 Discussion Exercises 395 CHAPTER 76 T TriH gonometric Functions 399 6.1 Angles 400 6 2 Trigonometric Functions of Angles 411 63 Trigonometric Functions of Real Numbers 429 6 4 Values of the Trigonometric Functions 448 6 5 Trigonometric Graphs 456 6.6 Additional Trigonometric Graphs 471 6.7 Applied Problems 479 Chapter 6 Review Exercises 492 Chapter 6 Discussion Exercises 499 CHAPTER 7 Analytic Trigonometry 501 7.1 Verifying Trigonometric Identities 502 7.2 Trigonometric Equations 508 7.3 The Addition and Subtraction Formulas 523 7.4 Multiple-Angle Formulas 534 7.5 Product-to-Sum and Sum-to-Product Formulas 544 7.6 The Inverse Trigonometric Functions 549 Chapter 7 Review Exercises 565 Chapter 7 Discussion Exercises 568 CHAPTER 8 Applications of Trigonometry 569 8.1 The Law of Sines 570 8.2 The Law of Cosines 580 8.3 Vectors 589 8.4 The Dot Product 605 835 Trigonometric Form for Complex Numbers 616 8.6 De Moivre's Theorem and nth Roots of Complex Numbers 623 Chapter 8 Review Exercises 629 Chapter 8 Discussion Exercises 633 CHAPTER 9 Systems of Equations and nequalities 635 9.1 Systems of Equations 636 9.2 Systems of Linear Equations in Two Variables 646 93 Systems of Inequalities 654 9.4 Linear Programming 664 9�5 Systems of Linear Equations in More Than Two "Variables 672 9.6 The Algebra of Matrices 688 9.7 The Inverse of a Matrix 698 9.8 Determinants 704 9.9 Properties of Determinants 711 9.10 Partial Fractions 719 Chapter 9 Review Exercises 725 Chapter 9 Discussion Exercrises 728 CHAPTER 10 Sequences, Series, and Probability 731 0.1 Infinite Sequences and Summation Notation 732 10.2 Arithmetic Sequences 748 10.3 Geometric Sequences 755 10.4 Mathematical Induction 764 10.5 The Binomial Theorem 771 10.6 Permutations 780 10.7 Distinguishable Permutations and Combinations 787 10.8 Probability 796 Chapter 10 Review Exercises 810 Chapter 10 Discussion Exercises 813 CAHAPTER 11 Topics from Analytic Geometry 815 11.1 Parabolas 816 11 2 Ellipses 826 11.3 Hyperbolas 840 11.4 Plane Curves and Parametric Equations 852 11.5 Polar Coordinates 867 11,6 Polar Equations of Conics 884 Chapter 11 Review Exercises 890 Chapter 1I Discussion Exercises 892 Appendixes 895 1 Common Graphs and Their Equations 896 1! A Summary of Graph Transformations 898 III Graphs of Trigonometric Functions and Their Inverses 900 IV Values of the Trigonometric Functions of Special Angles on a Unit Circle 902 Answers to Selected Exercises Al Index of Applications A90 Index A95 Additional Answers AIEI N2 - Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this text popular among students year after year. This latest edition of Swokowski and Cole's ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY retains these features. The problems have been consistently praised for being at just the right level for precalculus students like you. The book also provides calculator examples, including specific keystrokes that show you how to use various graphing calculators to solve problems more quickly. Perhaps most important-this book effectively prepares you for further courses in mathematics ER -