Algebra and Trigonometry With Analytic Geometry,9780534953089

Algebra and Trigonometry With Analytic Geometry

by ;
ISBN13: 9780534953089
ISBN10: 0534953085
Format: Paperback
Pub. Date: 1997-01-11
Publisher(s): Brooks Cole
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Summary

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

PREFACE x
CHAPTER 1 FUNDAMENTAL CONCEPTS OF ALGEBRA
1(52)
1.1 Real Numbers
2(13)
1.2 Exponents and Radicals
15(12)
1.3 Algebraic Expressions
27(13)
1.4 Fractional Expressions
40(9)
CHAPTER 1 REVIEW EXERCISES
49(2)
CHAPTER 1 DISCUSSION EXERCISES
51(2)
CHAPTER 2 EQUATIONS AND INEQUALITIES
53(70)
2.1 Equations
54(8)
2.2 Applied Problems
62(12)
2.3 Quadratic Equations
74(12)
2.4 Complex Numbers
86(6)
2.5 Other Types of Equations
92(9)
2.6 Inequalities
101(9)
2.7 More on Inequalities
110(7)
CHAPTER 2 REVIEW EXERCISES
117(3)
CHAPTER 2 DISCUSSION EXERCISES
120(3)
CHAPTER 3 FUNCTIONS AND GRAPHS
123(114)
3.1 Rectangular Coordinate Systems
124(7)
3.2 Graphs of Equations
131(13)
3.3 Lines
144(17)
3.4 Definition of Function
161(15)
3.5 Graphs of Functions
176(13)
3.6 Quadratic Functions
189(14)
3.7 Operations on Functions
203(10)
3.8 Inverse Functions
213(10)
3.9 Variation
223(6)
CHAPTER 3 REVIEW EXERCISES
229(5)
CHAPTER 3 DISCUSSION EXERCISES
234(3)
CHAPTER 4 POLYNOMIAL AND RATIONAL FUNCTIONS
237(56)
4.1 Polynomial Functions of Degree Greater Than 2
238(8)
4.2 Properties of Division
246(8)
4.3 Zeros of Polynomials
254(13)
4.4 Complex and Rational Zeros of Polynomials
267(8)
4.5 Rational Functions
275(15)
CHAPTER 4 REVIEW EXERCISES
290(2)
CHAPTER 4 DISCUSSION EXERCISES
292(1)
CHAPTER 5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
293(60)
5.1 Exponential Functions
294(11)
5.2 The Natural Exponential Function
305(10)
5.3 Logarithmic Functions
315(15)
5.4 Properties of Logarithms
330(8)
5.5 Exponential and Logarithmic Equations
338(10)
CHAPTER 5 REVIEW EXERCISES
348(2)
CHAPTER 5 DISCUSSION EXERCISES
350(3)
CHAPTER 6 THE TRIGONOMETRIC FUNCTIONS
353(96)
6.1 Angles
354(9)
6.2 Trigonometric Functions of Angles
363(16)
6.2 Trigonometric Functions of Real Numbers
379(19)
6.4 Values of the Trigonometric Functions
398(7)
6.5 Trigonometric Graphs
405(15)
6.6 Additional Trigonometric Graphs
420(9)
6.7 Applied Problems
429(13)
CHAPTER 6 REVIEW EXERCISES
442(6)
CHAPTER 6 DISCUSSION EXERCISES
448(1)
CHAPTER 7 ANALYTIC TRIGONOMETRY
449(64)
7.1 Verifying Trigonometric Identities
450(5)
7.2 Trigonometric Equations
455(12)
7.3 The Addition and Subtraction Formulas
467(11)
7.4 Multiple-Angle Formulas
478(10)
7.5 Product-to-Sum and Sum-to-Product Formulas
488(5)
7.6 The Inverse Trigonometric Functions
493(15)
CHAPTER 7 REVIEW EXERCISES
508(3)
CHAPTER 7 DISCUSSION EXERCISES
511(2)
CHAPTER 8 APPLICATIONS OF TRIGONOMETRY
513(60)
8.1 The Law of Sines
514(10)
8.2 The Law of Cosines
524(10)
8.3 Trigonometric Form for Complex Numbers
534(5)
8.4 De Moivre's Theorem and nth Roots of Complex Numbers
539(5)
8.5 Vectors
544(14)
8.6 The Dot Product
558(10)
CHAPTER 8 REVIEW EXERCISES
568(3)
CHAPTER 8 DISCUSSION EXERCISES
571(2)
CHAPTER 9 SYSTEMS OF EQUATIONS AND INEQUALITIES
573(90)
9.1 Systems of Equations
574(9)
9.2 Systems of Linear Equations in Two Variables
583(8)
9.3 Systems of Linear Equations in More Than Two Variables
591(15)
9.4 Partial Fractions
606(6)
9.5 Systems of Inequalities
612(7)
9.6 Linear Programming
619(9)
9.7 The Algebra of Matrices
628(9)
9.8 The Inverse of a Matrix
637(6)
9.9 Determinants
643(7)
9.10 Properties of Determinants
650(8)
CHAPTER 9 REVIEW EXERCISES
658(3)
CHAPTER 9 DISCUSSION EXERCISES
661(2)
CHAPTER 10 SEQUENCES, SERIES, AND PROBABILITY
663(72)
10.1 Infinite Sequences and Summation Notation
664(9)
10.2 Arithmetic Sequences
673(7)
10.3 Geometric Sequences
680(9)
10.4 Mathematical Induction
689(6)
10.5 The Binomial Theorem
695(9)
10.6 Permutations
704(7)
10.7 Distinguishable Permutations and Combinations
711(7)
10.8 Probability
718(12)
CHAPTER 10 REVIEW EXERCISES
730(3)
CHAPTER 10 DISCUSSION EXERCISES
733(2)
CHAPTER 11 TOPICS AND ANALYTIC GEOMETRY
735(69)
11.1 Parabolas
736(10)
11.2 Ellipses
746(13)
11.3 Hyperbolas
759(13)
11.4 Plane Curves and Parametric Equations
772(10)
11.5 Polar Coordinates
782(12)
11.6 Polar Equations of Conics
794(7)
CHAPTER II REVIEW EXERCISES
801(2)
CHAPTER II DISCUSSION EXERCISES
803(1)
APPENDIXES 804
I Using a TI-82/83 Graphing Calculator 804(38)
II Common Graphs and Their Equations 842(2)
III A Summary of Graph Transformations 844(2)
IV Graphs of Trigonometric Functions and Their Inverses 846
ANSWERS TO SELECTED EXERCISES A1(88)
INDEX OF APPLICATIONS A89(6)
INDEX A95

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