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College Algebra and Trigonometry,9780201755251
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College Algebra and Trigonometry

by
ISBN13:

9780201755251

ISBN10:
0201755254
Format:
Hardcover
Pub. Date:
1/1/2003
Publisher(s):
Addison Wesley
List Price: $144.00
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Summary

This text provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor' s Edition, instructor notes within the exercise sets, and an Insider' s Guide. Students will find success through features that include highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.

Table of Contents

Preface ix
List of Supplements
xiii
Index of Applications xvii
P PREREQUISITES
Real Numbers and Their Properties
2(12)
Integral Exponents and Scientific Notation
14(10)
Rational Exponents and Radicals
24(12)
Polynomials
36(11)
Factoring Polynomials
47(10)
Rational Expressions
57(17)
Chapter P Highlights
68(1)
Chapter P Review Exercises
69(3)
Chapter P Test
72(2)
Equations, Inequalities and Modeling
Equations in One Variable
74(10)
Constructing Models to Solve Problems
84(12)
Equations and Graphs in Two Variables
96(12)
Linear Equations in Two Variables
108(14)
Scatter Diagrams and Curve Fitting
122(5)
Quadratic Equations
127(15)
Linear and Absolute Value Inequalities
142(21)
Chapter 1 Highlights
155(1)
Chapter 1 Review Exercises
156(4)
Chapter 1 Test
160(1)
Tying it All Together
161(2)
Functions and Graphs
Functions
163(13)
Graphs of Relations and Functions
176(14)
Families of Functions, Transformations, and Symmetry
190(15)
Operations with Functions
205(10)
Inverse Functions
215(13)
Constructing Functions with Variation
228(15)
Chapter 2 Highlights
236(2)
Chapter 2 Review Exercises
238(2)
Chapter 2 Test
240(1)
Tying It All Together
241(2)
Polynomial and Rational Functions
Quadratic Functions and Inequalities
243(12)
Complex Numbers
255(7)
Zeros of Polynomial Functions
262(11)
The Theory of Equations
273(9)
Miscellaneous Equations
282(13)
Graphs of Polynomial Functions
295(12)
Rational Functions and Inequalities
307(22)
Chapter 3 Highlights
322(2)
Chapter 3 Review Exercises
324(2)
Chapter 3 Test
326(1)
Tying It All Together
327(2)
Exponential and Logarithmic Functions
Exponential Functions and Their Applications
329(15)
Logarithmic Functions and Their Applications
344(12)
Rules of Logarithms
356(13)
More Equations and Applications
369(19)
Chapter 4 Highlights
381(1)
Chapter 4 Review Exercises
382(2)
Chapter 4 Test
384(1)
Tying It All Together
385(3)
The Trigono-Metric Functions
Angles and Their Measurements
388(16)
The Sine and Cosine Functions
404(12)
The Graphs of the Sine and Cosine Functions
416(17)
The Other Trigonometric Functions and Their Graphs
433(11)
The Inverse Trigonometric Functions
444(11)
Right Triangle Trigonometry
455(21)
Chapter 5 Highlights
468(2)
Chapter 5 Review Exercises
470(3)
Chapter 5 Test
473(1)
Tying It All Together
474(2)
Trigonomet-Ric Identities and Conditional Equations
Basic ldentities
476(9)
Verifying Identities
485(7)
Sum and Difference Identities
492(9)
Double-Angle and Half-Angle Identities
501(8)
Product and Sum Identities
509(9)
Conditional Trigonometric Equations
518(19)
Chapter 6 Highlights
532(1)
Chapter 6 Review Exercises
533(2)
Chapter 6 Test
535(1)
Tying It All Together
535(2)
Applications of Trigonometry
The Law of Sines
537(12)
The Law of Cosines
549(10)
Vectors
559(13)
Trigonometric Form of Complex Numbers
572(7)
Powers and Roots of Complex Numbers
579(5)
Polar Equations
584(10)
Parametric Equations
594(12)
Chapter 7 Highlights
598(2)
Chapter 7 Review Exercises
600(2)
Chapter 7 Test
602(1)
Tying It All Together
603(3)
Systems of Equations and Inequalities
Systems of Linear Equations in Two Variables
606(11)
Systems of Linear Equations in Three Variables
617(12)
Nonlinear Systems of Equations
629(8)
Partial Fractions
637(8)
Inequalities and Systems of Inequalities in Two Variables
645(9)
The Linear Programming Model
654(12)
Chapter 8 Highlights
660(1)
Chapter 8 Review Exercises
661(2)
Chapter 8 Test
663(1)
Tying It All Together
664(2)
Matrices and Determinants
Solving Linear Systems Using Matrices
666(14)
Operations with Matrices
680(6)
Multiplication of Matrices
686(8)
Inverses of Matrices
694(12)
Solution of Linear Systems in Two Variables Using Determinants
706(5)
Solution of Linear Systems in Three Variables Using Determinants
711(14)
Chapter 9 Highlights
720(1)
Chapter 9 Review Exercises
721(1)
Chapter 9 Test
722(1)
Tying It All Together
723(2)
The Conic Sections
The Parabola
725(10)
The Ellipse and the Circle
735(13)
The Hyperbola
748(19)
Chapter 10 Highlights
761(1)
Chapter 10 Review Exercises
762(2)
Chapter 10 Test
764(1)
Tying It All Together
765(2)
Sequences, Series, and Probability
Sequences
767(10)
Series
777(8)
Geometric Sequences and Series
785(12)
Counting and Permutations
797(7)
Combinations, Labeling, and the Binomial Theorem
804(9)
Probability
813(11)
Mathematical Induction
824
Chapter 11 Highlights
830
Chapter 11 Review Exercises
831
Chapter 11 Test
833
Answers to Selected Exercises A-1
Credits C-1
Index I-1


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