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Precalculus with Limits : A Graphing Approach,9780618394784
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Precalculus with Limits : A Graphing Approach

by ; ;
Edition:
4th
ISBN13:

9780618394784

ISBN10:
0618394788
Format:
Hardcover
Pub. Date:
2/5/2004
Publisher(s):
Cengage Learning

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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 xii
Functions and Their Graphs
1(86)
Introduction to Library of Functions
2(1)
Lines in the Plane
3(13)
Functions
16(14)
Graphs of Functions
30(12)
Shifting, Reflecting, and Stretching Graphs
42(9)
Combinations of Functions
51(11)
Inverse Functions
62(10)
Exploring Data: Linear Models and Scatter Plots
72(15)
Chapter Summary
81(1)
Review Exercises
82(4)
Chapter Test
86(1)
Polynomial and Rational Functions
87(88)
Quadratic Functions
88(11)
Polynomial Functions of Higher Degree
99(13)
Real Zeros of Polynomial Functions
112(15)
Complex Numbers
127(8)
The Fundamental Theorem of Algebra
135(7)
Rational Functions and Asymptotes
142(10)
Graphs of Rational Functions
152(9)
Exploring Data: Quadratic Models
161(14)
Chapter Summary
168(1)
Review Exercises
169(5)
Chapter Test
174(1)
Exponential and Logarithmic Functions
175(72)
Exponential Functions and Their Graphs
176(12)
Logarithmic Functions and Their Graphs
188(11)
Properties of Logarithms
199(7)
Solving Exponential and Logarithmic Equations
206(11)
Exponential and Logarithmic Models
217(12)
Exploring Data: Nonlinear Models
229(18)
Chapter Summary
238(1)
Review Exercises
239(5)
Chapter Test
244(1)
Cumulative Test: Chapters 1--3
245(2)
Trigonometric Functions
247(92)
Radian and Degree Measure
248(11)
Trigonometric Functions: The Unit Circle
259(8)
Right Triangle Trigonometry
267(11)
Trigonometric Functions of Any Angle
278(9)
Graphs of Sine and Cosine Functions
287(11)
Graphs of Other Trigonometric Functions
298(11)
Inverse Trigonometric Functions
309(11)
Applications and Models
320(19)
Chapter Summary
332(1)
Review Exercises
333(5)
Chapter Test
338(1)
Analytic Trigonometry
339(52)
Using Fundamental Identities
340(8)
Verifying Trigonometric Identities
348(8)
Solving Trigonometric Equations
356(12)
Sum and Difference Formulas
368(7)
Multiple-Angle and Product-to-Sum Formulas
375(16)
Chapter Summary
386(1)
Review Exercises
387(3)
Chapter Test
390(1)
Additional Topics in Trigonometry
391(60)
Law of Sines
392(9)
Law of Cosines
401(7)
Vectors in the Plane
408(14)
Vectors and Dot Products
422(10)
Trigonometric Form of a Complex Number
432(19)
Chapter Summary
443(1)
Review Exercises
444(4)
Chapter Test
448(1)
Cumulative Test: Chapters 4--6
449(2)
Linear Systems and Matrices
451(104)
Solving Systems of Equations
452(11)
Systems of Linear Equations in Two Variables
463(10)
Multivariable Linear Systems
473(16)
Matrices and Systems of Equations
489(15)
Operations with Matrices
504(15)
The Inverse of a Square Matrix
519(9)
The Determinant of a Square Matrix
528(8)
Applications of Matrices and Determinants
536(19)
Chapter Summary
546(2)
Review Exercises
548(6)
Chapter Test
554(1)
Sequences, Series, and Probability
555(76)
Sequences and Series
556(11)
Arithmetic Sequences and Partial Sums
567(9)
Geometric Sequences and Series
576(10)
Mathematical Induction
586(8)
The Binomial Theorem
594(8)
Counting Principles
602(10)
Probability
612(19)
Chapter Summary
625(1)
Review Exercises
626(4)
Chapter Test
630(1)
Topics in Analytic Geometry
631(74)
Introduction to Conics: Parabolas
632(8)
Ellipses
640(9)
Hyperbolas
649(10)
Rotation and Systems of Quadratic Equations
659(9)
Parametric Equations
668(8)
Polar Coordinates
676(6)
Graphs of Polar Equations
682(9)
Polar Equations of Conics
691(14)
Chapter Summary
698(1)
Review Exercises
699(4)
Chapter Test
703(1)
Cumulative Test: Chapters 7--9
704(1)
Analytic Geometry in Three Dimensions
705(36)
The Three-Dimensional Coordinate System
706(8)
Vectors in Space
714(7)
The Cross Product of Two Vectors
721(7)
Lines and Planes in Space
728(13)
Chapter Summary
737(1)
Review Exercises
738(2)
Chapter Test
740(1)
Limits and an Introduction to Calculus
741
Introduction to Limits
742(11)
Techniques for Evaluating Limits
753(10)
The Tangent Line Problem
763(10)
Limits at Infinity and Limits of Sequences
773(9)
The Area Problem
782
Chapter Summary
790(1)
Review Exercises
791(3)
Chapter Test
794(1)
Cumulative Test: Chapters 10--11
795
Appendices
Appendix A Technology Support Guide
1(24)
Appendix B Review of Graphs, Equations, and Inequalities
25(59)
The Cartesian Plane
25(11)
Graphs of Equations
36(11)
Solving Equations Algebraically and Graphically
47(16)
Solving Inequalities Algebraically and Graphically
63(12)
Exploring Data: Representing Data Graphically
75(9)
Appendix C Proofs of Selected Theorems
84(14)
Appendix D Concepts in Statistics
98(11)
Measures of Central Tendency and Dispersion
98(9)
Least Squares Regression
107(2)
Appendix E Solving Linear Equations and Inequalities
109(3)
Appendix F Systems of Inequalities
112(19)
Solving Systems of Inequalities
112(10)
Linear Programming
122(9)
Answers to Odd-Numbered Exercises and Tests 131(142)
Index of Applications 273(4)
Index 277


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