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Precalculus Mathematics for Calculus (with CD-ROM and iLrn™),9780534492779
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Precalculus Mathematics for Calculus (with CD-ROM and iLrn™)

by ; ;
Edition:
5th
ISBN13:

9780534492779

ISBN10:
0534492770
Format:
Hardcover
Pub. Date:
10/20/2005
Publisher(s):
Cengage Learning
List Price: $272.66

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Summary

This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, so that when students finish the course, they have a solid foundation in the principles of mathematical thinking. This comprehensive, evenly paced book provides complete coverage of the function concept and integrates substantial graphing calculator materials that help students develop insight into mathematical ideas. The authors' attention to detail and clarity, as in James Stewart's market-leading Calculus text, is what makes this text the market leader.

Table of Contents

Preface xv
To the Student xxiii
Calculators and Calculations xxiv
Fundamentals
1(145)
Chapter Overview
1(1)
Real Numbers
2(10)
Exponents and Radicals
12(12)
Algebraic Expressions
24(11)
Discovery Project: Visualizing a Formula
34(1)
Rational Expressions
35(9)
Equations
44(14)
Modeling with Equations
58(18)
Discovery Project: Equations through the Ages
75(1)
Inequalities
76(11)
Coordinate Geometry
87(14)
Graphing Calculators; Solving Equations and Inequalities Graphically
101(10)
Lines
111(12)
Modeling Variation
123(23)
Chapter 1 Review
130(5)
Chapter 1 Test
135(3)
Focus on Problem Solving: General Principles
138(8)
Functions
146(102)
Chapter Overview
147(1)
What is a Function?
148(10)
Graphs of Functions
158(15)
Discovery Project: Relations and Functions
171(2)
Increasing and Decreasing Functions; Average Rate of Change
173(9)
Transformations of Functions
182(11)
Quadratic Functions; Maxima and Minima
193(10)
Modeling with Functions
203(11)
Combining Functions
214(11)
Discovery Project: Iteration and Chaos
223(2)
One-to-One Functions and Their Inverses
225(23)
Chapter 2 Review
233(4)
Chapter 2 Test
237(2)
Focus on Modeling: Fitting Lines to Data
239(9)
Polynomial and Rational Functions
248(78)
Chapter Overview
249(1)
Polynomial Functions and Their Graphs
250(15)
Dividing Polynomials
265(7)
Real Zeros of Polynomials
272(13)
Discovery Project: Zeroing in on a Zero
283(2)
Complex Numbers
285(6)
Complex Zeros and the Fundamental Theorem of Algebra
291(8)
Rational Functions
299(27)
Chapter 3 Review
316(3)
Chapter 3 Test
319(1)
Focus on Modeling: Fitting Polynomial Curves to Data
320(6)
Exponential and Logarithmic Functions
326(72)
Chapter Overview
327(1)
Exponential Functions
328(14)
Discovery Project: Exponential Explosion
341(1)
Logarithmic Functions
342(10)
Laws of Logarithms
352(6)
Exponential and Logarithmic Equations
358(11)
Modeling with Exponential and Logarithmic Functions
369(29)
Chapter 4 Review
382(3)
Chapter 4 Test
385(1)
Focus on Modeling: Fitting Exponential and Power Curves to Data
386(12)
Trigonometric Functions of Real Numbers
398(68)
Chapter Overview
399(1)
The Unit Circle
400(8)
Trigonometric Functions of Real Numbers
408(10)
Trigonometric Graphs
418(16)
Discovery Project: Predator/Prey Models
432(2)
More Trigonometric Graphs
434(8)
Modeling Harmonic Motion
442(24)
Chapter 5 Review
454(4)
Chapter 5 Test
458(1)
Focus on Modeling: Fitting Sinusoidal Curves to Data
459(7)
Trigonometric Functions of Angles
466(60)
Chapter Overview
467(1)
Angle Measure
468(10)
Trigonometry of Right Triangles
478(10)
Trigonometric Functions of Angles
488(13)
Discovery Project: Similarity
499(2)
The Law of Sines
501(7)
The Law of Cosines
508(18)
Chapter 6 Review
516(4)
Chapter 6 Test
520(2)
Focus on Modeling: Surveying
522(4)
Analytic Trigonometry
526(54)
Chapter Overview
527(1)
Trigonometric Identities
528(7)
Addition and Subtraction Formulas
535(6)
Double-Angle, Half-Angle, and Sum-Product Formulas
541(9)
Inverse Trigonometric Functions
550(11)
Discovery Project: Where to Sit at the Movies
560(1)
Trigonometric Equations
561(19)
Chapter 7 Review
571(3)
Chapter 7 Test
574(1)
Focus on Modeling: Traveling and Standing Waves
575(5)
Polar Coordinates and Vectors
580(54)
Chapter Overview
581(1)
Polar Coordinates
582(5)
Graphs of Polar Equations
587(9)
Polar Form of Complex Numbers; DeMoivre's Theorem
596(11)
Discovery Project: Fractals
605(2)
Vectors
607(10)
The Dot Product
617(17)
Discovery Project: Sailing Against the Wind
626(1)
Chapter 8 Review
627(2)
Chapter 8 Test
629(1)
Focus on Modeling: Mapping the World
630(4)
Systems of Equations and Inequalities
634(108)
Chapter Overview
635(1)
Systems of Equations
636(8)
Systems of Linear Equations in Two Variables
644(7)
Systems of Linear Equations in Several Variables
651(11)
Discovery Project: Best Fit versus Exact Fit
660(2)
Systems of Linear Equations: Matrices
662(13)
The Algebra of Matrices
675(14)
Discovery Project: Will the Species Survive?
688(1)
Inverses of Matrices and Matrix Equations
689(15)
Discovery Project: Computer Graphics I
700(4)
Determinants and Cramer's Rule
704(11)
Partial Fractions
715(6)
Systems of Inequalities
721(21)
Chapter 9 Review
728(5)
Chapter 9 Test
733(2)
Focus on Modeling: Linear Programming
735(7)
Analytic Geometry
742(78)
Chapter Overview
743(1)
Parabolas
744(9)
Ellipses
753(9)
Hyperbolas
762(13)
Discovery Project: Conics in Architecture
771(4)
Shifted Conics
775(8)
Rotation of Axes
783(12)
Discovery Project: Computer Graphics II
792(3)
Polar Equations of Conics
795(6)
Plane Curves and Parametric Equations
801(19)
Chapter 10 Review
810(4)
Chapter 10 Test
814(2)
Focus on Modeling: The Path of a Projectile
816(4)
Sequences and Series
820(60)
Chapter Overview
821(1)
Sequences and Summation Notation
822(11)
Arithmetic Sequences
833(5)
Geometric Sequences
838(10)
Discovery Project: Finding Patterns
847(1)
Mathematics of Finance
848(6)
Mathematical Induction
854(6)
The Binomial Theorem
860(20)
Chapter 11 Review
870(3)
Chapter 11 Test
873(1)
Focus on Modeling: Modeling with Recursive Sequences
874(6)
Limits: A Preview of Calculus
880
Chapter Overview
881(1)
Finding Limits Numerically and Graphically
882(8)
Finding Limits Algebraically
890(8)
Tangent Lines and Derivatives
898(10)
Discovery Project: Designing a Roller Coaster
908(1)
Limits at Infinity: Limits of Sequences
908(8)
Areas
916
Chapter 12 Review
925(3)
Chapter 12 Test
928(1)
Focus on Modeling: Interpretations of Area
929
Answers 1(10)
Index 11
Photo Credits 1


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