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Tables of Contents for Precalculus
List of Graphing Calculator Topicsvii
Exponents and Radicals
19
12
Algebraic Expressions
31
16
Rectangular Coordinate Systems
86
23
Review Exercises128
4
Discussion Exercises132
3
Definition of Function
136
17
Operations on Functions
184
11
Review Exercises212
5
Discussion Exercises217
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
Review Exercises279
2
Discussion Exercises281
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 Exercises343
3
Discussion Exercises346
3
The Trigonometric Functions
349
102
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
Review Exercises442
7
Discussion Exercises449
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 Exercises515
3
Discussion Exercises518
1
Applications of Trigonometry
519
64
Trigonometric Form for Complex Numbers
565
7
De Moivre's Theorem and nth Roots of Complex Numbers
572
11
Review Exercises578
4
Discussion Exercises582
1
Systems of Equations and Inequalities
583
96
Systems of Linear Equations in Two Variables
593
9
Systems of Inequalities
602
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
Properties of Determinants
659
8
Review Exercises673
3
Discussion Exercises676
3
Sequences, Series, and Probability
679
84
Infinite Sequences and Summation Notation
680
16
Mathematical Induction
712
7
Distinguishable Permutations and Combinations
735
9
Review Exercises757
3
Discussion Exercises760
3
Topics from Analytic Geometry
763
78
Plane Curves and Parametric Equations
800
15
Polar Equations of Conics
831
10
Review Exercises837
2
Discussion Exercises839
2
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
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