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Contemporary Precalculus : A Graphing Approach,9780030255380
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Contemporary Precalculus : A Graphing Approach

by
Edition:
3rd
ISBN13:

9780030255380

ISBN10:
0030255384
Format:
Hardcover
Pub. Date:
10/15/1999
Publisher(s):
Brooks Cole
List Price: $147.00

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This is the 3rd edition with a publication date of 10/15/1999.
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Summary

Hungerford integrates 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. The concepts that play a central role in calculus are explored from algebraic, graphical, and numerical perspectives. Students are expected to participate actively in the development of these concepts by using graphing calculators (or computers with suitable software), as directed in the Graphing Explorations, either to complete a particular discussion or to explore appropriate examples.

Table of Contents

Preface ix
To the Instructor xx
To the Student xxiv
Basics
1(58)
The Real Number System
2(16)
Excursion: Decimal Representation of Real Numbers
15(3)
Solving Equations Algebraically
18(10)
Excursion: Absolute Value Equations
26(2)
The Coordinate Plane
28(10)
Lines
38(21)
Chapter Review
51(8)
Graphs and Technology
59(58)
Graphs and Graphing Calculators
60(13)
Solving Equations Graphically and Numerically
73(7)
Applications of Equations
80(11)
Optimization Applications
91(5)
Linear Models
96(21)
Chapter Review
109(8)
Functions and Graphs
117(88)
Functions
118(9)
Functional Notation
127(9)
Graphs of Functions
136(14)
Graphs and Transformations
150(15)
Excursion: Symmetry
159(6)
Operations on Functions
165(9)
Rates of Change
174(12)
Inverse Functions
186(19)
Chapter Review
195(10)
Polynomial and Rational Functions
205(100)
Quadratic Functions
206(7)
Polynomial Functions
213(11)
Excursion: Synthetic Division
221(3)
Real Roots of Polynomials
224(8)
Graphs of Polynomial Functions
232(17)
Excursion: Polynomial Models
244(5)
Rational Functions
249(18)
Excursion: Other Rational Functions
263(4)
Polynomial and Rational Inequalities
267(14)
Excursion: Absolute Value Inequalities
278(3)
Complex Numbers
281(7)
Theory of Equations
288(17)
Chapter Review
295(10)
Exponential and Logarithmic Functions
305(84)
Radicals and Rational Exponents
306(14)
Excursion: Radical Equations
313(7)
Exponential Functions
320(20)
Excursion: Compound Interest and the Number e
334(6)
Common and Natural Logarithmic Functions
340(20)
Excursion: Logarithmic Functions to Other Bases
352(8)
Algebraic Solutions of Exponential and Logarithmic Equations
360(9)
Exponential, Logarithmic, and Other Models
369(20)
Chapter Review
381(8)
Trigonometric Functions
389(76)
Angles and Their Measurement
390(11)
The Sine, Cosine, and Tangent Functions
401(8)
Algebra and Identities
409(9)
Basic Graphs
418(10)
Periodic Graphs and Simple Harmonic Motion
428(19)
Excursion: Other Trigonometric Graphs
441(6)
Other Trigonometric Functions
447(18)
Chapter Review
456(9)
Triangle Trigonometry
465(42)
Right Triangle Trigonometry
466(15)
The Law of Cosines
481(7)
The Law of Sines
488(19)
Chapter Review
501(6)
Trigonometric Identities and Equations
507(56)
Basic Identities and Proofs
508(9)
Addition and Subtraction Identities
517(13)
Excursion: Lines and Angles
526(4)
Other Identities
530(8)
Trigonometric Equations
538(11)
Inverse Trigonometric Functions
549(14)
Chapter Review
557(6)
Applications of Trigonometry
563(46)
The Complex Plane and Polar Form for Complex Numbers
564(6)
DeMoivre's Theorem and nth Roots of Complex Numbers
570(8)
Vectors in the Plane
578(15)
The Dot Product
593(16)
Chapter Review
603(6)
Analytic Geometry
609(72)
Plane Curves and Parametric Equations
610(14)
Conic Sections
624(14)
Translations and Rotations of Conics
638(17)
Excursion: Rotation of Axes
649(6)
Polar Coordinates
655(9)
Polar Equations of Conics
664(17)
Chapter Review
675(6)
Systems of Equations
681(50)
Systems of Linear Equations in Two Variables
682(11)
Large Systems of Linear Equations
693(15)
Matrix Methods for Square Systems
708(11)
Systems of Nonlinear Equations
719(12)
Chapter Review
726(5)
Discrete Algebra
731(48)
Sequences and Sums
732(10)
Arithmetic Sequences
742(5)
Geometric Sequences
747(10)
Excursion: Infinite Series
752(5)
The Binomial Theorem
757(7)
Mathematical Induction
764(15)
Chapter Review
774(5)
Algebra Review Appendix 779(18)
Geometry Review Appendix 797(6)
Program Appendix 803(4)
Answers to Odd-Numbered Exercises 807
Index of Applications I.1
Index I.5


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