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Contemporary Precalculus: A Graphing Approach,9780030185441
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Contemporary Precalculus: A Graphing Approach

by
Edition:
2nd
ISBN13:

9780030185441

ISBN10:
0030185440
Format:
Paperback
Pub. Date:
9/1/1996
Publisher(s):
Brooks Cole

Questions About This Book?

What version or edition is this?
This is the 2nd edition with a publication date of 9/1/1996.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.
  • The Used copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included.

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Summary

Hungerford approaches the subject of precalculus by integrating graphing technology into the course without losing sight of the fact that the underlying mathematics is the crucial issue. Mathematics is presented in an informal manner that stresses meaningful motivation, careful explanations, and numerous examples, with an ongoing focus on real-world problem solving.

Table of Contents

Preface v(9)
To the Instructor xiv(3)
To the Student xvii
CHAPTER 1 Review and Technology Preview
1(85)
1.1 The Real Number System
1(14)
1.1.A Excursion: Decimal Representation of Real Numbers
12(3)
1.2 Solving Equations Algebraically
15(9)
1.2.A Excursion: Absolute Value Equations
23(1)
1.3 The Coordinate Plane
24(8)
1.4 Graphs and Graphing Calculators
32(17)
1.5 Solving Equations Numerically and Graphically
49(11)
1.6 Applications of Equations
60(11)
1.7 Optimization Applications
71(9)
Chapter Review
80(6)
CHAPTER 2 Functions and Graphs
86(79)
2.1 Functions
86(9)
2.2 Functional Notation
95(10)
2.3 Graphs of Functions and Equations
105(10)
2.4 Graph Reading
115(8)
2.5 Graphs and Transformations
123(16)
2.5.A Excursion: Symmetry
133(6)
2.6 Operations on Functions
139(9)
2.7 Inverse Functions
148(10)
Chapter Review
158(7)
CHAPTER 3 Linear and Quadratic Functions
165(44)
3.1 Lines and Linear Functions
165(44)
3.2 Rates of Change
179(17)
3.2.A Excursion: The Secant Method
191(5)
3.3 Quadratic Functions
196(8)
Chapter Review
204(5)
CHAPTER 4 Polynomial and Rational Functions
209(90)
4.1 Polynomials and Polynomial Functions
209(11)
4.1.A Excursion: Synthetic Division
217(3)
4.2 Roots of Polynomials
220(9)
4.3 Graphs of Polynomial Functions
229(13)
4.4 Rational Functions
242(22)
4.4.A Excursion: Other Rational Functions
260(4)
4.5 Polynomial and Rational Inequalities
264(14)
4.5.A Excursion: Absolute Value Inequalities
274(4)
4.6 Complex Numbers
278(7)
4.7 Theory of Equations
285(7)
Chapter Review
292(7)
CHAPTER 5 Exponential and Logarithmic Functions
299(66)
5.1 Radicals and Rational Exponents
299(14)
5.1.A Excursion: Radical Equations
306(7)
5.2 Exponential Functions
313(19)
5.2A Excursion: Compound Interest and the Number e
326(6)
5.3 Common and Natural Logarithmic Functions
332(19)
5.3.A Excursion: Logarithmic Functions to Other Bases
344(7)
5.4 Algebraic Solutions of Exponential and Logarithmic Equations
351(9)
Chapter Review
360(5)
CHAPTER 6 Trigonometric Functions
365(86)
6.1 Angles and Their Measurement
365(10)
6.2 The Sine, Cosine, and Tangent Functions
375(8)
6.3 Basic Graphs
383(13)
6.4 Basic Identities
396(6)
6.5 Alternate Descriptions and Special Values
402(10)
6.6 Other Trigonometric Functions
412(9)
6.7 Periodic Graphs and Simple Harmonic Motion
421(20)
6.7.A Excursion: Other Trigonometric Graphs
434(7)
Chapter Review
441(10)
CHAPTER 7 Triangle Trigonometry
451(35)
7.1 Right Triangle Trigonometry
451(11)
7.2 The Law of Cosines
462(8)
7.3 The Law of Sines
470(13)
Chapter Review
483(3)
CHAPTER 8 Trigonometric Identities and Equations
486(56)
8.1 Basic Identities and Proofs
486(9)
8.2 Addition and Subtraction Identities
495(13)
8.2.A Excursion: Lines and Angles
504(4)
8.3 Other Identities
508(8)
8.4 Trigonometric Equations
516(12)
8.5 Inverse Trigonometric Functions
528(9)
Chapter Review
537(5)
CHAPTER 9 Applications of Trigonometry
542(45)
9.1 The Complex Plane and Polar Form for Complex Numbers
542(7)
9.2 DeMoivre's Theorem and nth Roots of Complex Numbers
549(8)
9.3 Vectors in the Plane
557(15)
9.4 The Dot Product
572(11)
Chapter Review
583(4)
CHAPTER 10 Analytic Geometry
587(65)
10.1 Plane Curves and Parametric Equations
587(15)
10.2 Conic Sections
602(14)
10.3 Translations and Rotations of Conics
616(11)
10.4 Polar Coordinates
627(10)
10.5 Polar Equations of Conics
637(11)
Chapter Review
648(4)
CHAPTER 11 Systems of Equations
652(46)
11.1 Systems of Linear Equations in Two Variables
652(9)
11.2 Large Systems of Linear Equations
661(15)
11.3 Other Matrix Methods for Solving Systems of Equations
676(9)
11.4 Systems of Nonlinear Equations
685(9)
Chapter Review
694(4)
CHAPTER 12 Discrete Algebra
698
12.1 Sequences and Sums
698(8)
12.2 Arithmetic Sequences
706(5)
12.3 Geometric Sequences
711(10)
12.3.A Excursion: Infinite Series
715(6)
12.4 The Binomial Theorem
721(8)
12.5 Mathematical Induction
729(10)
Chapter Review
739
CHAPTER 13 Limits and Continuity (available as a separate supplement)
13.1 Limits of Functions
13.1.A Excursion: One-Sided Limits
13.2 The Formal Definition of Limit (Optional)
13.3 Continuity
13.4 Limits Involving Infinity
Appendix 1 Algebra Review 742(18)
Appendix 2 Geometry Review 760(8)
Appendix 3 Program Appendix 768
Answers to Odd-Numbered Exercises A-1
Index of Applications I-1
Index I-7


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