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Tables of Contents for Precalculus
Chapter/Section Title
Page #
Page Count
PREFACE
xiv
 
CHAPTER 1 TOPICS FROM ALGEBRA
1
112
1.1 Real Numbers
2
13
1.2 Exponents and Radicals
15
12
1.3 Algebraic Expressions
27
14
1.4 Equations
41
16
1.5 Complex Numbers
57
6
1.6 Inequalities
63
12
1.7 Rectangular Coordinate Systems
75
18
1.8 Lines
93
16
CHAPTER 1 REVIEW EXERCISES
109
3
CHAPTER 1 DISCUSSION EXERCISES
112
1
CHAPTER 2 FUNCTIONS
113
70
2.1 Definition of Function
114
17
2.2 Graphs of Functions
131
12
2.3 Quadratic Functions
143
14
2.4 Operations on Functions
157
10
2.5 Inverse Functions
167
10
CHAPTER 2 REVIEW EXERCISES
177
4
CHAPTER 2 DISCUSSION EXERCISES
181
2
CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS
183
56
3.1 Polynomial Functions of Degree Greater Than 2
184
8
3.2 Properties of Division
192
8
3.3 Zeros of Polynomials
200
13
3.4 Complex and Rational Zeros of Polynomials
213
8
3.5 Rational Functions
221
15
CHAPTER 3 REVIEW EXERCISES
236
2
CHAPTER 3 DISCUSSION EXERCISES
238
1
CHAPTER 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
239
60
4.1 Exponential Functions
240
11
4.2 The Natural Exponential Function
251
10
4.3 Logarithmic Functions
261
15
4.4 Properties of Logarithms
276
8
4.5 Exponential and Logarithmic Equations
284
10
CHAPTER 4 REVIEW EXERCISES
294
2
CHAPTER 4 DISCUSSION EXERCISES
296
3
CHAPTER 5 THE TRIGONOMETRIC FUNCTIONS
299
96
5.1 Angles
300
9
5.2 Trigonometric Functions of Angles
309
16
5.3 Trigonometric Functions of Real Numbers
325
19
5.4 Values of the Trigonometric Functions
344
7
5.5 Trigonometric Graphs
351
15
5.6 Additional Trigonometric Graphs
366
9
5.7 Applied Problems
375
13
CHAPTER 5 REVIEW EXERCISES
388
6
CHAPTER 5 DISCUSSION EXERCISES
394
1
CHAPTER 6 ANALYTIC TRIGONOMETRY
395
64
6.1 Verifying Trigonometric Identities
396
5
6.2 Trigonometric Equations
401
12
6.3 The Addition and Subtraction Formulas
413
11
6.4 Multiple-Angle Formulas
424
10
6.5 Product-to-Sum and Sum-to-Product Formulas
434
5
6.6 The Inverse Trigonometric Functions
439
15
CHAPTER 6 REVIEW EXERCISES
454
3
CHAPTER 6 DISCUSSION EXERCISES
457
2
CHAPTER 7 APPLICATIONS OF TRIGONOMETRY
459
60
7.1 The Law of Sines
460
10
7.2 The Law of Cosines
470
10
7.3 Trigonometric Form for Complex Numbers
480
5
7.4 De Moivre's Theorem and nth Roots of Complex Numbers
485
5
7.5 Vectors
490
14
7.6 The Dot Product
504
10
CHAPTER 7 REVIEW EXERCISES
514
3
CHAPTER 7 DISCUSSION EXERCISES
517
2
CHAPTER 8 SYSTEMS OF EQUATIONS AND INEQUALITIES
519
90
8.1 Systems of Equations
520
9
8.2 Systems of Linear Equations in Two Variables
529
8
8.3 Systems of Linear Equations in More Than Two Variables
537
15
8.4 Partial Fractions
552
6
8.5 Systems of Inequalities
558
7
8.6 Linear Programming
565
9
8.7 The Algebra of Matrices
574
9
8.8 The Inverse of a Matrix
583
6
8.9 Determinants
589
7
8.10 Properties of Determinants
596
8
CHAPTER 8 REVIEW EXERCISES
604
3
CHAPTER 8 DISCUSSION EXERCISES
607
2
CHAPTER 9 SEQUENCES, SERIES, AND PROBABILITY
609
72
9.1 Infinite Sequences and Summation Notation
610
9
9.2 Arithmetic Sequences
619
7
9.3 Geometric Sequences
626
9
9.4 Mathematical Induction
635
6
9.5 The Binomial Theorem
641
9
9.6 Permutations
650
7
9.7 Distinguishable Permutations and Combinations
657
7
9.8 Probability
664
12
CHAPTER 9 REVIEW EXERCISES
676
3
CHAPTER 9 DISCUSSION EXERCISES
679
2
CHAPTER 10 TOPICS FROM ANALYTIC GEOMETRY
681
69
10.1 Parabolas
682
10
10.2 Ellipses
692
13
10.3 Hyperbolas
705
13
10.4 Plane Curves and Parametric Equations
718
10
10.5 Polar Coordinates
728
12
10.6 Polar Equations of Conics
740
7
CHAPTER 10 REVIEW EXERCISES
747
2
CHAPTER 10 DISCUSSION EXERCISES
749
1
APPENDIXES
750
 
I Using a TI-82/83 Graphing Calculator
750
38
II Common Graphs and Their Equations
788
2
III A Summary of Graph Transformations
790
2
IV Graphs of Trigonometric Functions and Their Inverses
792
 
ANSWERS TO SELECTED EXERCISES
A1
84
INDEX OF APPLICATIONS
A85
4
INDEX
A89