Precalculus Functions and Graphs (with CD-ROM and iLrn™ Tutorial),9780534999902

Precalculus Functions and Graphs (with CD-ROM and iLrn™ Tutorial)

by ;
Edition: 10th
ISBN13: 9780534999902
ISBN10: 0534999905
Format: Hardcover
Pub. Date: 2004-12-03
Publisher(s): Brooks Cole
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List Price: $320.96

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Summary

This latest edition in the highly respected Swokowski/Cole precalculus series retains the elements that have made it so popular with instructors and students alike: its exposition is clear, the time-tested exercise sets feature a variety of applications, its uncluttered layout is appealing, and the difficulty level of problems is appropriate and consistent. Mathematically sound, PRECALCULUS: FUNCTIONS AND GRAPHS, Tenth Edition, effectively prepares students for further courses in mathematics through its excellent, time-tested problem sets. This edition has been improved in many respects including the addition of technology inserts with specific keystrokes for the TI-83 Plus and the TI-86, ideal for students who are working with a calculator for the first time. The design of the text makes the technology inserts easily identifiable, so if a professor prefers to skip these sections it is simple to do so.

Table of Contents

List of Graphing Calculator Topics
x
Preface xii
Topics from Algebra
1(92)
Real Numbers
2(17)
Exponents and Radicals
19(12)
Algebraic Expressions
31(17)
Equations
48(19)
Complex Numbers
67(8)
Inequalities
75(18)
Chapter 1 Review Exercises
87(3)
Chapter 1 Discussion Exercises
90(3)
Graphs and Functions
93(114)
Rectangular Coordinate Systems
94(9)
Graphs of Equations
103(16)
Lines
119(19)
Definition of Function
138(18)
Graphs of Functions
156(17)
Quadratic Functions
173(16)
Operations on Functions
189(18)
Chapter 2 Review Exercises
199(6)
Chapter 2 Discussion Exercises
205(2)
Polynomial and Rational Functions
207(72)
Polynomial Functions of Degree Greater Than 2
208(11)
Properties of Division
219(8)
Zeros of Polynomials
227(14)
Complex and Rational Zeros of Polynomials
241(8)
Rational Functions
249(18)
Variation
267(12)
Chapter 3 Review Exercises
275(2)
Chapter 3 Discussion Exercises
277(2)
Inverse, Exponential, and Logarithmic Functions
279(80)
Inverse Functions
280(11)
Exponential Functions
291(13)
The Natural Exponential Function
304(11)
Logarithmic Functions
315(15)
Properties of Logarithms
330(8)
Exponential and Logarithmic Equations
338(21)
Chapter 4 Review Exercises
352(3)
Chapter 4 Discussion Exercises
355(4)
The Trigonometric Functions
359(102)
Angles
360(11)
Trigonometric Functions of Angles
371(18)
Trigonometric Functions of Real Numbers
389(19)
Values of the Trigonometric Functions
408(8)
Trigonometric Graphs
416(15)
Additional Trigonometric Graphs
431(8)
Applied Problems
439(22)
Chapter 5 Review Exercises
452(7)
Chapter 5 Discussion Exercises
459(2)
Analytic Trigonometry
461(68)
Verifying Trigonometric Identities
462(6)
Trigonometric Equations
468(15)
The Addition and Subtraction Formulas
483(11)
Multiple-Angle Formulas
494(10)
Product-to-Sum and Sum-to-Product Formulas
504(5)
The Inverse Trigonometric Functions
509(20)
Chapter 6 Review Exercises
525(3)
Chapter 6 Discussion Exercises
528(1)
Applications of Trigonometry
529(66)
The Law of Sines
530(10)
The Law of Cosines
540(9)
Vectors
549(16)
The Dot Product
565(11)
Trigonometric Form for Complex Numbers
576(7)
De Moivre's Theorem and nth Roots of Complex Numbers
583(12)
Chapter 7 Review Exercises
589(4)
Chapter 7 Discussion Exercises
593(2)
Systems of Equations and Inequalities
595(96)
Systems of Equations
596(10)
Systems of Linear Equations in Two Variables
606(8)
Systems of Inequalities
614(10)
Linear Programming
624(8)
Systems of Linear Equations in More Than Two Variables
632(16)
The Algebra of Matrices
648(10)
The Inverse of a Matrix
658(6)
Determinants
664(7)
Properties of Determinants
671(8)
Partial Fractions
679(12)
Chapter 8 Review Exercises
685(3)
Chapter 8 Discussion Exercises
688(3)
Sequences, Series, and Probability
691(84)
Infinite Sequences and Summation Notation
692(16)
Arithmetic Sequences
708(7)
Geometric Sequences
715(9)
Mathematical Induction
724(7)
The Binomial Theorem
731(9)
Permutations
740(7)
Distinguishable Permutations and Combinations
747(9)
Probability
756(19)
Chapter 9 Review Exercises
770(3)
Chapter 9 Discussion Exercises
773(2)
Topics from Analytic Geometry
775(80)
Parabolas
776(10)
Ellipses
786(14)
Hyperbolas
800(12)
Plane Curves and Parametric Equations
812(15)
Polar Coordinates
827(17)
Polar Equations of Conies
844(11)
Chapter 10 Review Exercises
850(2)
Chapter 10 Discussion Exercises
852(3)
Appendixes
855
I Common Graphs and Their Equations
856(2)
II A Summary of Graph Transformations
858(2)
III Graphs of Trigonometric Functions and Their Inverses
860(2)
IV Values of the Trigonometric Functions of Special Angles on a Unit Circle
862
Answers to Selected Exercises 1(88)
Index of Applications 89(6)
Index 95

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