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Single Variable Calculus (Book with CD-ROM),9780534355623
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Single Variable Calculus (Book with CD-ROM)

by
Edition:
4th
ISBN13:

9780534355623

ISBN10:
0534355625
Format:
Paperback
Pub. Date:
1/26/1999
Publisher(s):
Brooks Cole

Questions About This Book?

What version or edition is this?
This is the 4th edition with a publication date of 1/26/1999.
What is included with this book?
  • The Used copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included.

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Summary

Success in your calculus course starts here! James Stewarts CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!

Table of Contents

A Preview of Calculus 2(8)
1 Functions and Models
10(56)
1.1 Four Ways to Represent a Function
11(13)
1.2 Mathematical Models
24(14)
1.3 New Functions from Old Functions
38(12)
1.4 Graphing Calculators and Computers
50(6)
Review
56(3)
Principles of Problem Solving
59(7)
2 Limits and Rates of Change
66(62)
2.1 The Tangent and Velocity Problems
67(5)
2.2 The Limit of a Function
72(12)
2.3 Calculating Limits Using the Limit Laws
84(10)
2.4 The Precise Definition of a Limit
94(10)
2.5 Continuity
104(10)
2.6 Tangents, Velocities, and Other Rates of Change
114(10)
Review
124(2)
Problems Plus
126(2)
3 Derivatives
128(94)
3.1 Derivatives
129(7)
Writing Project Early Methods for Finding Tangents
135(1)
3.2 The Derivative as a Function
136(11)
3.3 Differentiation Formulas
147(11)
3.4 Rates of Change in the Natural and Social Sciences
158(12)
3.5 Derivatives of Trigonometric Functions
170(7)
3.6 The Chain Rule
177(8)
Applied Project Where Should a Pilot Start Descent?
199
3.7 Implicit Differentiation
185(7)
3.8 Higher Derivatives
192(7)
3.9 Related Rates
199(6)
3.10 Linear Approximations and Differentials
205(9)
Laboratory Project Taylor Polynomials
213(1)
Review
214(4)
Problems Plus
218(4)
4 Applications of Differentiation
222(90)
4.1 Maximum and Minimum Values
223(11)
Applied Project The Calculus of Rainbows
232(2)
4.2 The Mean Value Theorem
234(6)
4.3 How Derivatives Affect the Shape of a Graph
240(9)
4.4 Limits at Infinity; Horizontal Asymptotes
249(14)
4.5 Summary of Curve Sketching
263(8)
4.6 Graphing with Calculus and Calculators
271(6)
4.7 Optimization Problems
277(11)
Applied Project The Shape of a Can
287(1)
4.8 Applications to Economics
288(5)
4.9 Newton's Method
293(6)
4.10 Antiderivatives
299(7)
Review
306(4)
Problems Plus
310(2)
5 Integrals
312(58)
5.1 Areas and Distances
313(11)
5.2 The Definite Integral
324(13)
Discovery Project Area Functions
336(1)
5.3 The Fundamental Theorem of Calculus
337(9)
5.4 Indefinite Integrals and the Total Change Theorem
346(10)
Writing Project Newton, Leibniz, and the Invention of Calculus
355(1)
5.5 The Substitution Rule
356(7)
Review
363(4)
Problems Plus
367(3)
6 Applications of Integration
370(36)
6.1 Areas between Curves
371(7)
6.2 Volumes
378(11)
6.3 Volumes by Cylindrical Shells
389(5)
6.4 Work
394(4)
6.5 Average Value of a Function
398(3)
Review
401(2)
Problems Plus
403(3)
7 Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
406(96)
7.1 Inverse Functions
407(9)
Instructors may cover either Sections 7.2-7.4 or Sections 7.2(*)-7.4(*). See the Preface.
7.2 Exponential Functions and Their Derivatives
416(12)
7.3 Logarithmic Functions
428(76)
7.4 Derivatives of Logarithmic Functions
435(10)
7.2(*) The Natural Logarithmic Function
445(8)
7.3(*) The Natural Exponential Function
453(7)
7.4(*) General Logarithmic and Exponential Functions
460(9)
7.5 Inverse Trigonometric Functions
469(9)
Applied Project Where To Sit at the Movies
478(1)
7.6 Hyperbolic Functions
478(7)
7.7 Indeterminate Forms and L'Hospital's Rule
485(11)
Writing Project The Origins of L'Hospital's Rule
496(1)
Review
496(4)
Problems Plus
500(2)
8 Techniques of Integration
502(72)
8.1 Integration by Parts
503(7)
8.2 Trigonometric Integrals
510(7)
8.3 Trigonometric Substitution
517(7)
8.4 Integration of Rational Functions by Partial Fractions
524(9)
8.5 Strategy for Integration
533(6)
8.6 Integration Using Tables and Computer Algebra Systems
539(7)
Discovery Project Patterns in Integrals
545(1)
8.7 Approximate Integration
546(11)
8.8 Improper Integrals
557(11)
Review
568(2)
Problems Plus
571(3)
9 Further Applications of Integration
574(40)
9.1 Arc Length
575(7)
9.2 Area of a Surface of Revolution
582(7)
Discovery Project Rotating on a Slant
588(1)
9.3 Applications to Physics and Engineering
589(9)
9.4 Applications to Economics and Biology
598(5)
9.5 Probability
603(7)
Review
610(2)
Problems Plus
612(2)
10 Differential Equations
614(60)
10.1 Modeling with Differential Equations
615(5)
10.2 Direction Fields and Euler's Method
620(9)
10.3 Separable Equations
629(8)
Applied Project Which Is Faster, Going Up or Coming Down?
636(1)
10.4 Exponential Growth and Decay
637(10)
Applied Project Calculus and Baseball
646(1)
10.5 The Logistic Equation
647(9)
10.6 Linear Equations
656(6)
10.7 Predator-Prey Systems
662(6)
Review
668(4)
Problems Plus
672(2)
11 Parametric Equations and Polar Coordinates
674(52)
11.1 Curves Defined by Parametric Equations
675(7)
Laboratory Project Families of Hypocycloids
682(1)
11.2 Tangents and Areas
682(7)
Laboratory Project Bezier Curves
689(1)
11.3 Arc Length and Surface Area
689(5)
11.4 Polar Coordinates
694(10)
11.5 Areas and Lengths in Polar Coordinates
704(5)
11.6 Conic Sections
709(7)
11.7 Conic Sections in Polar Coordinates
716(6)
Review
722(2)
Problems Plus
724(2)
12 Infinite Sequences and Series
726
12.1 Sequences
727(11)
Laboratory Project Logistic Sequences
738(1)
12.2 Series
738(10)
12.3 The Integral Test and Estimates of Sums
748(7)
12.4 The Comparison Tests
755(5)
12.5 Alternating Series
760(5)
12.6 Absolute Convergence and the Ratio and Root Tests
765(7)
12.7 Strategy for Testing Series
772(2)
12.8 Power Series
774(5)
12.9 Representations of Functions as Power Series
779(6)
12.10 Taylor and Maclaurin Series
785(11)
12.11 The Binomial Series
796(4)
Writing Project How Newton Discovered the Binomial Series
799(1)
12.12 Applications of Taylor Polynomials
800(10)
Applied Project Radiation from the Stars
808(2)
Review
810(2)
Problems Plus
812
Appendixes A1(104)
A Intervals, Inequalities, and Absolute Values A2(8)
B Coordinate Geometry and Lines A10(6)
C Graphs of Second-Degree Equations A16(8)
D Trigonometry A24(10)
E Sigma Notation A34(5)
F Proofs of Theorems A39(7)
G Complex Numbers A46(8)
H Answers to Odd-Numbered Exercises A54(51)
Index A105


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