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Algebra and Trigonometry,9780618052875
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Algebra and Trigonometry

by
Edition:
3rd
ISBN13:

9780618052875

ISBN10:
0618052879
Format:
Paperback
Pub. Date:
8/2/2000
Publisher(s):
Brooks Cole

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Summary

As part of the market-leading Graphing Approach series by Larson, Hostetler, and Edwards, Algebra and Trigonometry: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This edition, intended for algebra and trigonometry courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills.

Table of Contents

A word from the Authors (Preface) vii
Features Highlights xi
An Introduction to Graphing Utilities xvii
Prerequisites
1(66)
Real Numbers
2(10)
Exponents and Radicals
12(12)
Polynomials and Factoring
24(13)
Rational Expressions
37(10)
Graphical Representation of Data
47(20)
Chapter Summary
59(1)
Review Exercises
60(4)
Chapter Project: Modeling the Volume of a Box
64(1)
Chapter Test
65(1)
Library of Functions
66(1)
Functions and Their Graphs
67(88)
Graphs of Equations
68(11)
Lines in the Plane
79(13)
Functions
92(14)
Graphs of Functions
106(12)
Shifting, Reflecting, and Stretching Graphs
118(9)
Combinations of Functions
127(11)
Inverse Functions
138(17)
Chapter Summary
148(1)
Review Exercises
149(4)
Chapter Project: Modeling the Area of a Plot
153(1)
Chapter Test
154(1)
Intercepts, Zeros, and Solutions
155(70)
Modeling with Linear Equations
156(13)
Solving Equations Graphically
169(11)
Complex Numbers
180(8)
Solving Equations Algebraically
188(17)
Solving Inequalities Algebraically and Graphically
205(20)
Chapter Summary
217(1)
Review Exercises
218(3)
Chapter Project: Mozart and the Golden Ratio
221(1)
Chapter Test
222(1)
Cumulative Test: Chapter P--2
223(2)
Polynomial and Rational Functions
225(72)
Quadratic Functions
226(11)
Polynomial Functions of Higher Degree
237(13)
Real Zeros of Polynomial Functions
250(14)
The Fundamental Theorem of Algebra
264(7)
Rational Functions and Asymptotes
271(10)
Graphs of Rational Functions
281(16)
Chapter Summary
290(1)
Review Exercises
291(4)
Chapter Project: Finding Points of Intersection
295(1)
Chapter Test
296(1)
Exponential and Logarithmic Functions
297(68)
Exponential Functions and Their Graphs
298(13)
Logarithmic Functions and Their Graphs
311(11)
Properties of Logarithms
322(7)
Solving Exponential and Logarithmic Equations
329(11)
Exponential and Logarithmic Models
340(25)
Chapter Summary
356(1)
Review Exercises
357(4)
Chapter Project: A Graphical Approach to Compound Interest
361(1)
Chapter Test
362(1)
Cumulative Test: Chapters 3-4
363(2)
Trigonometric Functions
365(88)
Angles and Their Measure
366(11)
Right Triangle Trigonometry
377(11)
Trigonometric Functions of Any Angle
388(13)
Graphs of Sine and Cosine Functions
401(11)
Graphs of Other Trigonometric Functions
412(11)
Inverse Trigonometric Functions
423(10)
Applications and Models
433(20)
Chapter Summary
445(1)
Review Exercises
446(5)
Chapter Project: Fitting a Model to Data
451(1)
Chapter Test
452(1)
Analytic Trigonometry
453(52)
Using Fundamental Identities
454(8)
Verifying Trigonometric Identities
462(8)
Solving Trigonometric Equations
470(12)
Sum and Difference Formulas
482(7)
Multiple-Angle and Product-Sum Formulas
489(16)
Chapter Summary
499(1)
Review Exercises
500(3)
Chapter Project: Projectile Motion
503(1)
Chapter Test
504(1)
Additional Topics in Trigonometry
505(60)
Law of Sines
506(9)
Law of Cosines
515(7)
Vectors in the Plane
522(14)
Vectors and Dot Products
536(9)
Trigonometric Form of a Complex Number
545(20)
Chapter Summary
556(1)
Review Exercises
557(4)
Chapter Project: Adding Vectors Graphically
561(1)
Chapter Test
562(1)
Cumulative Test: Chapters 5-7
563(2)
Systems of Equations and Inequalities
565(64)
Solving Systems of Equations
566(11)
Systems of Linear Equations in Two Variables
577(10)
Multivariable Linear Systems
587(16)
Systems of Inequalities
603(10)
Linear Programming
613(16)
Chapter Summary
623(1)
Review Exercises
624(3)
Chapter Project: Fitting Models to Data
627(1)
Chapter Test
628(1)
Matrices and Determinats
629(66)
Matrices and Systems of Equations
630(15)
Operations with Matrices
645(15)
The Inverse of a Square Matrix
660(9)
The Determinant of a Square Matrix
669(8)
Applications of Matrices and Determinants
677(18)
Chapter Summary
687(1)
Review Exercises
688(5)
Chapter Project: Solving Systems of Equations
693(1)
Chapter Test
694(1)
Sequences, Series, and Probability
695(78)
Sequences and Series
696(11)
Arithmetic Sequences and Partial Sums
707(9)
Geometric Sequences and Series
716(10)
Mathematical Induction
726(8)
The Binomial Theorem
734(8)
Counting Principles
742(10)
Probability
752(21)
Chapter Summary
765(1)
Review Exercises
766(5)
Chapter Project: Fitting Models to Data
771(1)
Chapter Test
772(1)
Topics in Analytic Geometry
773
Conics
774
Translations of Conics
788
Parametric Equations
797
Polar Coordinates
805
Graphs of Polar Equations
811
Polar Equations of Conics
820
Chapter Summary
826
Review Exercises
827
Chapter Project: Polar, Rectangular, and Parametric Forms
831
Chapter Test
832
Cumulative Test: Chapters 8--11
833
Appendices
Appendix A Proofs of Selected Theorems
A1
Appendix B Concepts in Statistics
A14
B.1 Representing Data
A14
B.2 Measures of Central Tendency and Dispersion
A18
B.3 Least Squares Regression
A27
Appendix C Solving Linear Equations and Inequalities
A29
Answers to Odd-Numbered Exercises and Tests A35
Index of Applications A173
Index A177


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