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9780534390501

Algebra and Trigonometry with Analytic Geometry (with CD-ROM)

by ;
  • ISBN13:

    9780534390501

  • ISBN10:

    0534390501

  • Edition: CD
  • Format: Hardcover
  • Copyright: 2001-11-15
  • Publisher: Brooks Cole
  • View Upgraded Edition
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Supplemental Materials

What is included with this book?

Summary

Think of it as portable office hours! The Interactive Video Skillbuilder CD-ROM contains more than eight hours of video instruction. The problems worked during each video lesson are shown next to the viewing screen so that student can try working them before watching the solution. To help students evaluate their progress, each section contains a 10-question Web quiz (the results of which can be emailed to the instructor) and each chapter contains a chapter test, with answers to each problem on each test.

Table of Contents

List of Graphing Calculator Topics
ix
Preface xi
Fundamental Concepts of Algebra
1(58)
Real Numbers
2(17)
Exponents and Radicals
19(12)
Algebraic Expressions
31(14)
Fractional Expressions
45(14)
Review Exercises
56(2)
Discussion Exercises
58(1)
Equations and Inequalities
59(72)
Equations
60(9)
Applied Problems
69(11)
Quadratic Equations
80(14)
Complex Numbers
94(7)
Other Types of Equations
101(9)
Inequalities
110(9)
More on Inequalities
119(12)
Review Exercises
127(3)
Discussion Exercises
130(1)
Functions and Graphs
131(130)
Rectangular Coordinate Systems
132(9)
Graphs of Equations
141(16)
Lines
157(18)
Definition of Function
175(18)
Graphs of Functions
193(16)
Quadratic Functions
209(15)
Operations on Functions
224(11)
Inverse Functions
235(10)
Variation
245(16)
Review Exercises
252(6)
Discussion Exercises
258(3)
Polynomial and Rational Functions
261(64)
Polynomial Functions of Degree Greater Than 2
262(11)
Properties of Division
273(8)
Zeros of Polynomials
281(14)
Complex and Rational Zeros of Polynomials
295(8)
Rational Functions
303(22)
Review Exercises
321(2)
Discussion Exercises
323(2)
Exponential and Logarithmic Functions
325(66)
Exponential Functions
326(12)
The Natural Exponential Function
338(10)
Logarithmic Functions
348(16)
Properties of Logarithms
364(8)
Exponential and Logarithmic Equations
372(19)
Review Exercises
385(3)
Discussion Exercises
388(3)
The Trigonometric Functions
391(102)
Angles
392(11)
Trigonometric Functions of Angels
403(18)
Trigonometric Functions of Real Numbers
421(19)
Values of the Trigonometric Functions
440(8)
Trigonometric Graphs
448(15)
Additional Trigonometric Graphs
463(8)
Applied Problems
471(22)
Review Exercises
484(7)
Discussion Exercises
491(2)
Analytic Trigonometry
493(68)
Verifying Trigonometric Identities
494(6)
Trigonometric Equations
500(15)
The Addition and Substraction Formulas
515(11)
Multiple-Angle Formulas
526(10)
Product-to-Sum and Sum-to-Product Formulas
536(5)
The Inverse Trigonometric Functions
541(20)
Review Exercises
557(3)
Discussion Exercises
560(1)
Applications of Trigonometry
561(64)
The Law of Sines
562(10)
The Law of Cosines
572(9)
Vectors
581(15)
The Dot Product
596(11)
Trigonometric Form for Complex Numbers
607(7)
De Moivre's Theorem and nth Roots of Complex Numbers
614(11)
Review Exercises
620(4)
Discussion Exercises
624(1)
Systems of Equations and Inequalities
625(96)
Systems of Equations
626(9)
Systems of Linear Equations in Two Variables
635(9)
Systems of Inequalities
644(9)
Linear Programming
653(9)
Systems of Linear Equations in More Than Two Variables
662(15)
The Algebra of Matrices
677(10)
The Inverse of a Matrix
687(7)
Determinants
694(7)
Properties of Determinants
701(8)
Partial Fractions
709(12)
Review Exercises
715(3)
Discussion Exercises
718(3)
Sequences, Series, and Probability
721(84)
Infinite Sequences and Summation Notation
722(16)
Arithmetic Sequences
738(7)
Geometric Sequences
745(9)
Mathematical Induction
754(7)
The Binomial Theorem
761(9)
Permutations
770(7)
Distinguishable Permutations and Combinations
777(9)
Probability
786(19)
Review Exercises
799(3)
Discussion Exercises
802(3)
Topics from Analytic Geometry
805(78)
Parabolas
806(10)
Ellipses
816(14)
Hyperbolas
830(12)
Plane Curves and Parametric Equations
842(15)
Polar Coordinates
857(16)
Polar Equations of Conics
873(10)
Review Exercises
879(2)
Discussion Exercises
881(2)
Appendixes 883
I Common Graphs and Their Equations
884
II A Summary of Graph Transformations
886
III Graphs of Trigonometric Functions and Their Inverses
888
IV Values of the Trigonometric Functions of Special Angles on a Unit Circle
890
Answers to Selected Exercises A1
Index of Applications A87
Index A93

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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