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Acp Wmu Precalculus : a Concise Course: A Concise Course
2014, Brooks/Cole
in English
1305042905 9781305042902
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Book Details
Table of Contents
1.
Functions and Their Graphs
Page 1
1.1.
Rectangular Coordinates
Page 2
1.2.
Graphs of Equations
Page 11
1.3.
Linear Equations in Two Variables
Page 22
1.4.
Functions
Page 35
1.5.
Analyzing Graphs of Functions
Page 49
1.6.
A Library of Parent Functions
Page 60
1.7.
Transformations of Functions
Page 67
1.8.
Combinations of Functions: Composite Functions
Page 76
1.9.
Inverse Functions
Page 84
1.10.
Mathematical Modeling and Variation
Page 93
Chapter Summary
Page 104
Review Exercises
Page 106
Chapter Test
Page 109
Proofs in Mathematics
Page 110
P.S. Problem Solving
Page 111
2.
Polynomial and Rational Functions
Page 113
2.1.
Quadratic Functions and Models
Page 114
2.2.
Polynomial Functions of Higher Degree
Page 124
2.3.
Polynomial and Synthetic Division
Page 138
2.4.
Complex Numbers
Page 147
2.5.
Zeros of Polynomial Functions
Page 154
2.6.
Rational Functions
Page 168
2.7.
Nonlinear Inequalities
Page 180
Chapter Summary
Page 190
Review Exercises
Page 192
Chapter Test
Page 194
Proofs in Mathematics
Page 195
P.S. Problem Solving
Page 197
3.
Exponential and Logarithmic Functions
Page 199
3.1.
Exponential Functions and Their Graphs
Page 200
3.2.
Logarithmic Functions and Their Graphs
Page 211
3.3.
Properties of Logarithms
Page 221
3.4.
Exponential and Logarithmic Equations
Page 228
3.5.
Exponential and Logarithmic Models
Page 238
Chapter Summary
Page 250
Review Exercises
Page 252
Chapter Test
Page 255
Cumulative Test for Chapters 1-3
Page 256
Proofs in Mathematics
Page 258
P.S. Problem Solving
Page 259
4.
Trigonometry
Page 261
4.1.
Radian and Degree Measure
Page 262
4.2.
Trigonometric Functions: The Unit Circle
Page 272
4.3.
Right Triangle Trigonometry
Page 279
4.4.
Trigonometric Functions of Any Angle
Page 290
4.5.
Graphs of Sine and Cosine Functions
Page 299
4.6.
Graphs of Other Trigonometric Functions
Page 310
4.7.
Inverse Trigonometric Functions
Page 320
4.8.
Applications and Models
Page 330
Chapter Summary
Page 340
Review Exercises
Page 342
Chapter Test
Page 345
Proofs in Mathematics
Page 346
P.S. Problem Solving
Page 347
5.
Analytic Trigonometry
Page 349
5.1.
Using Fundamental Identities
Page 350
5.2.
Verifying Trigonometric Identities
Page 357
5.3.
Solving Trigonometric Equations
Page 364
5.4.
Sum and Difference Formulas
Page 375
5.5.
Multiple-Angle and Product-to-Sum Formulas
Page 382
5.6.
Law of Sines
Page 391
5.7.
Law of Cosines
Page 400
Chapter Summary
Page 407
Review Exercises
Page 410
Chapter Test
Page 413
Proofs in Mathematics
Page 414
P.S. Problem Solving
Page 419
6.
Topics in Analytic Geometry
Page 421
6.1.
Lines
Page 422
6.2.
Introduction to Conics: Parabolas
Page 429
6.3.
Ellipses
Page 438
6.4.
Hyperbolas
Page 447
6.5.
Parametric Equations
Page 457
6.6.
Polar Coordinates
Page 467
6.7.
Graphs of Polar Equations
Page 473
6.8.
Polar Equations of Conics
Page 481
Chapter Summary
Page 488
Review Exercises
Page 490
Chapter Test
Page 493
Cumulative Test for Chapters 4-6
Page 494
Proofs in Mathematics
Page 496
P.S. Problem Solving
Page 499
Appendices
Appendix A.
Review of Fundamental Concepts of Algebra (web)
A.1.
Real Numbers and Their Properties
A.2.
Exponents and Radicals
A.3.
Polynomials and Factoring
A.4.
Rational Expressions
A.5.
Solving Equations
A.6.
Linear Inequalities in One Variable
A.7.
Errors and the Algebra of Calculus
Appendix B.
Concepts in Statistics (web)
B.1.
Representing Data
B.2.
Analyzing Data
B.3.
Modeling Data
Answers to Odd-Numbered Exercises and Tests
Page A1
Index
Page A69
Index of Applications (web)
ID Numbers
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