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Tables of Contents for Precalculus
Chapter/Section Title
Page #
Page Count
List of Graphing Calculator Topics
vii
 
Preface
ix
 
Topics from Algebra
1
134
Real Numbers
2
17
Exponents and Radicals
19
12
Algebraic Expressions
31
16
Equations
47
19
Complex Numbers
66
7
Inequalities
73
13
Rectangular Coordinate Systems
86
23
Lines
109
26
Review Exercises
128
4
Discussion Exercises
132
3
Functions
135
84
Definition of Function
136
17
Graphs of Functions
153
16
Quadratic Functions
169
15
Operations on Functions
184
11
Inverse Functions
195
10
Variation
205
14
Review Exercises
212
5
Discussion Exercises
217
2
Polynomial and Rational Functions
219
64
Polynomial Functions of Degree Greater Than 2
220
11
Properties of Division
231
8
Zeros of Polynomials
239
14
Complex and Rational Zeros of Polynomials
253
8
Rational Functions
261
22
Review Exercises
279
2
Discussion Exercises
281
2
Exponential and Logarithmic Functions
283
66
Exponential Functions
284
12
The Natural Exponential Function
296
10
Logarithmic Functions
306
16
Properties of Logarithms
322
8
Exponential and Logarithmic Equations
330
19
Review Exercises
343
3
Discussion Exercises
346
3
The Trigonometric Functions
349
102
Angles
350
11
Trigonometric Functions of Angles
361
18
Trigonometric Functions of Real Numbers
379
19
Values of the Trigonometric Functions
398
8
Trigonometric Graphs
406
15
Additional Trigonometric Graphs
421
8
Applied Problems
429
22
Review Exercises
442
7
Discussion Exercises
449
2
Analytic Trigonometry
451
68
Verifying Trigonometric Identities
452
6
Trigonometric Equations
458
15
The Addition and Subtraction Formulas
473
11
Multiple-Angle Formulas
484
10
Product-to-Sum and Sum-to-Product Formulas
494
5
The Inverse Trigonometric Functions
499
20
Review Exercises
515
3
Discussion Exercises
518
1
Applications of Trigonometry
519
64
The Law of Sines
520
10
The Law of Cosines
530
9
Vectors
539
15
The Dot Product
554
11
Trigonometric Form for Complex Numbers
565
7
De Moivre's Theorem and nth Roots of Complex Numbers
572
11
Review Exercises
578
4
Discussion Exercises
582
1
Systems of Equations and Inequalities
583
96
Systems of Equations
584
9
Systems of Linear Equations in Two Variables
593
9
Systems of Inequalities
602
9
Linear Programming
611
9
Systems of Linear Equations in More Than Two Variables
620
15
The Algebra of Matrices
635
10
The Inverse of a Matrix
645
7
Determinants
652
7
Properties of Determinants
659
8
Partial Fractions
667
12
Review Exercises
673
3
Discussion Exercises
676
3
Sequences, Series, and Probability
679
84
Infinite Sequences and Summation Notation
680
16
Arithmetic Sequences
696
7
Geometric Sequences
703
9
Mathematical Induction
712
7
The Binomial Theorem
719
9
Permutations
728
7
Distinguishable Permutations and Combinations
735
9
Probability
744
19
Review Exercises
757
3
Discussion Exercises
760
3
Topics from Analytic Geometry
763
78
Parabolas
764
10
Ellipses
774
14
Hyperbolas
788
12
Plane Curves and Parametric Equations
800
15
Polar Coordinates
815
16
Polar Equations of Conics
831
10
Review Exercises
837
2
Discussion Exercises
839
2
Appendixes
841
 
I Common Graphs and Their Equations
842
 
II A Summary of Graph Transformations
844
 
III Graphs of Trigonometric Functions and Their Inverses
846
 
IV Values of the Trigonometric Functions of Special Angles on a Unit Circle
848
 
Answers to Selected Exercises
A1
 
Index of Applications
A83
 
Index
A87