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Precalculus with Limits : A Graphing Approach,9780618052912
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Precalculus with Limits : A Graphing Approach

by ; ;
Edition:
3rd
ISBN13:

9780618052912

ISBN10:
0618052917
Format:
Hardcover
Pub. Date:
8/4/2000
Publisher(s):
Cengage Learning
List Price: $330.66

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This is the 3rd edition with a publication date of 8/4/2000.
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Summary

For a full description, see Larson et al., College Algebra: A Graphing Approach, 3/e.

Table of Contents

A Word from the Authors (Preface) viii
Features Highlights xi
An Introduction to Graphing Utilities xvii
Prerequisites
1(72)
Graphical Representation of Data
2(12)
Graphs of Equations
14(11)
Lines in the Plane
25(13)
Solving Equations Algebraically and Graphically
38(16)
Solving Inequalities Algebraically and Graphically
54(19)
Chapter Summary
66(1)
Review Exercises
67(3)
Chapter Project: Modeling the Volume of a Box
70(1)
Chapter Test
71(1)
Library of Functions
72(1)
Functions and Their Graphs
73(62)
Functions
74(14)
Graphs of Functions
88(12)
Shifting, Reflecting, and Stretching Graphs
100(9)
Combinations of Functions
109(11)
Inverse Functions
120(15)
Chapter Summary
130(1)
Review Exercises
131(2)
Chapter Project: Modeling the Area of a Plot
133(1)
Chapter Test
134(1)
Polynomial and Rational Functions
135(80)
Quadratic Functions
136(11)
Polynomial Functions of Higher Degree
147(13)
Real Zeros of Polynomial Functions
160(14)
Complex Numbers
174(8)
The Fundamental Theorem of Algebra
182(7)
Rational Functions and Asymptotes
189(10)
Graphs of Rational Functions
199(16)
Chapter Summary
208(1)
Review Exercises
209(4)
Chapter Project: Finding Points of Intersection
213(1)
Chapter Test
214(1)
Exponential and Logarithmic Functions
215(68)
Exponential Functions and Their Graphs
216(13)
Logarithmic Functions and Their Graphs
229(11)
Properties of Logarithms
240(7)
Solving Exponential and Logarithmic Equations
247(11)
Exponential and Logarithmic Models
258(25)
Chapter Summary
274(1)
Review Exercises
275(4)
Chapter Project: A Graphical Approach to Compound Interest
279(1)
Chapter Test
280(1)
Cumulative Test: Chapters 1--3
281(2)
Trigonometric Functions
283(92)
Radian and Degree Measure
284(11)
Trigonometric Functions: The Unit Circle
295(8)
Right Triangle Trigonometry
303(11)
Trigonometric Functions of Any Angle
314(9)
Graphs of Sine and Cosine Functions
323(11)
Graphs of Other Trigonometric Functions
334(11)
Inverse Trigonometric Functions
345(10)
Applications and Models
355(20)
Chapter Summary
367(1)
Review Exercises
368(5)
Chapter Project: Fitting a Model to Data
373(1)
Chapter Test
374(1)
Analytic Trigonometry
375(52)
Using Fundamental Identities
376(8)
Verifying Trigonometric Identities
384(8)
Solving Trigonometric Equations
392(12)
Sum and Difference Formulas
404(7)
Multiple-Angle and Product-Sum Formulas
411(16)
Chapter Summary
421(1)
Review Exercises
422(3)
Chapter Project: Projectile Motion
425(1)
Chapter Test
426(1)
Additional Topics in Trigonometry
427(60)
Law of Sines
428(9)
Law of Cosines
437(7)
Vectors in the Plane
444(14)
Vectors and Dot Products
458(9)
Trigonometric Form of a Complex Number
467(20)
Chapter Summary
478(1)
Review Exercises
479(4)
Chapter Project: Adding Vectors Graphically
483(1)
Chapter Test
484(1)
Cumulative Test: Chapters 4--6
485(2)
Systems of Equations and Inequalities
487(64)
Solving Systems of Equations
488(11)
Systems of Linear Equations in Two Variables
499(10)
Multivariable Linear Systems
509(16)
Systems of Inequalities
525(10)
Linear Programming
535(16)
Chapter Summary
545(1)
Review Exercises
546(3)
Chapter Project: Fitting Models to Data
549(1)
Chapter Test
550(1)
Matrices and Determinants
551(66)
Matrices and Systems of Equations
552(15)
Operations with Matrices
567(15)
The Inverse of a Square Matrix
582(9)
The Determinant of a Square Matrix
591(8)
Applications of Matrices and Determinants
599(18)
Chapter Summary
609(1)
Review Exercises
610(5)
Chapter Project: Solving Systems of Equations
615(1)
Chapter Test
616(1)
Sequences, Series, and Probability
617(78)
Sequences and Series
618(11)
Arithmetic Sequences and Partial Sums
629(9)
Geometric Sequences and Series
638(10)
Mathematical Induction
648(8)
The Binomial Theorem
656(8)
Counting Principles
664(10)
Probability
674(21)
Chapter Summary
687(1)
Review Exercises
688(5)
Chapter Project: Fitting Models to Data
693(1)
Chapter Test
694(1)
Topics in Analytic Geometry
695(74)
Introduction to Conics: Parabolas
696(8)
Ellipses
704(9)
Hyperbolas
713(9)
Rotation and Systems of Quadratic Equations
722(9)
Parametric Equations
731(8)
Polar Coordinates
739(6)
Graphs of Polar Equations
745(9)
Polar Equations of Conics
754(15)
Chapter Summary
760(1)
Review Exercises
761(4)
Chapter Project: Polar, Rectangular, and Parametric Forms
765(1)
Chapter Test
766(1)
Cumulative Test: Chapters 7--10
767(2)
Analytic Geometry in Three Dimensions
769(36)
The Three-Dimensional Coordinate System
770(7)
Vectors in Space
777(7)
The Cross Product of Two Vectors
784(7)
Lines and Planes in Space
791(14)
Chapter Summary
800(1)
Review Exercises
801(2)
Chapter Project: Distance Between a Point and a Line
803(1)
Chapter Test
804(1)
Limits and an Introduction to Calculus
805(1)
Introduction to Limits
806(10)
Techniques for Evaluating Limits
816(10)
The Tangent Line Problem
826(9)
Limits at Infinity and Limits of Sequences
835(8)
The Area Problem
843(8)
Chapter Summary
851(1)
Review Exercises
852(3)
Chapter Project: Tangent Lines to Sine Curves
855(1)
Chapter Test
856(1)
Cumulative Test: Chapters 11--12
857(1)
Appendices
Appendix A Proofs of Selected Theorems
A1
Appendix B Concepts in Statistics
A15
B.1 Representing Data
A15
B.2 Measures of Central Tendency and Dispersion
A22
B.3 Least Squares Regression
A31
Appendix C Solving Linear Equations and Inequalities
A33
Answers to Odd-Numbered Exercises and Tests A39
Index of Applications A181
Index A184


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