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Stewart's Single Variable Calculus,9780534393670
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Stewart's Single Variable Calculus

by
Edition:
5th
ISBN13:

9780534393670

ISBN10:
0534393675
Format:
Paperback
Pub. Date:
1/24/2003
Publisher(s):
Brooks Cole

Questions About This Book?

What version or edition is this?
This is the 5th edition with a publication date of 1/24/2003.
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 CDs, lab manuals, study guides, etc.

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Table of Contents

Functions and Models
Four Ways to Represent a Function
2(9)
Mathematical Models
11(6)
New Functions from Old Function
17(4)
Graphing Calculators and Computers
21(5)
Technology Plus for Chapter 1
23(3)
Limits and Rates of Change
The Tangent and Velocity Problems
26(3)
The Limit of a Function
29(8)
Calculating Limits Using the Limit Laws
37(7)
The Precise Definition of a Limit
44(5)
Continuity
49(4)
Tangents, Velocities, and Other Rates of Change
53(7)
Technology Plus for Chapter 2
56(4)
Derivatives
Derivatives
60(5)
The Derivative as a Function
65(6)
Differentiation Formulas
71(3)
Rates of Change in the Natural and Social Sciences
74(3)
Derivatives of Trigonometric Functions
77(3)
The Chain Rule
80(3)
Implicit Differentiation
83(4)
Higher Derivatives
87(3)
Related Rates
90(6)
Linear Approximations and Differentials
96(8)
Technology Plus for Chapter 3
100(4)
Applications of Differentiation
Maximum and Minimum Values
104(6)
The Mean Value Theorem
110(4)
How Derivatives Affect the Shape of a Graph
114(8)
Limits at Infinity; Horizontal Asymptotes
122(5)
Summary of a Curve Sketching
127(6)
Graphing with Calculus and Calculators
133(2)
Optimization Problems
135(3)
Applications to Economics
138(2)
Newton's Method
140(2)
Antiderivatives
142(7)
Technology Plus for Chapter 4
144(5)
Integrals
Areas and Distances
149(5)
The Definite Integral
154(6)
The Fundamental Theorem of Calculus
160(2)
Indefinite Integrals and the Net Change Theorem
162(3)
The Substitution Rule
165(7)
Technology Plus for Chapter 5
169(3)
Applications of Integration
Areas between Curves
172(5)
Volumes
177(4)
Volumes by Cylindrical Shells
181(2)
Work
183(2)
Average Value of a Function Review
185(6)
Technology Plus for Chapter 6
188(3)
Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
Inverse Functions
191(4)
Exponential Functions and Their Derivatives
195(5)
Logarithmic Functions
200(3)
Derivatives of Logarithmic Functions
203(4)
The Natural Logarithmic Function
207(6)
The Natural Exponential Function
213(2)
General Logarithmic and Exponential Functions
215(5)
Inverse Trigonometric Functions
220(5)
Hyperbolic Functions
225(5)
Indeterminate Forms and L'Hospital's Rule
230(7)
Technology Plus for Chapter 7
234(3)
Techniques of Integration
Integration by Parts
237(3)
Trigonometric Integrals
240(4)
Trigonometric Substitution
244(4)
Integration of Rational Functions by Partial Fractions
248(5)
Strategy for Integration
253(2)
Using Tables of Integrals and Computer Algebra Systems
255(2)
Approximate Integration
257(5)
Improper Integrals
262(8)
Technology Plus for Chapter 8
266(4)
Further Applications of Integration
Arc Length
270(5)
Area of a Surface of Revolution
275(2)
Applications to Physics and Engineering
277(4)
Applications to Economics and Biology
281(2)
Probability
283(5)
Technology Plus for Chapter 9
286(2)
Differential Equations
Modeling with Differential Equations
288(2)
Direction Fields and Euler's Method
290(3)
Separable Equations
293(3)
Exponential Growth and Decay
296(3)
The Logistic Equation
299(2)
Linear Equations
301(2)
Predator-Prey Systems
303(5)
Technology Plus for Chapter 10
305(3)
Parametric Equations and Polar Coordinates
Curves Defined by Parametric Equations
308(4)
Calculus with Parametric Curves
312(6)
Polar Coordinates
318(7)
Areas and Lengths in Polar Coordinates
325(3)
Conic Sections
328(4)
Conic Sections in Polar Coordinates
332(6)
Technology Plus for Chapter 11
335(3)
Infinite Sequences and Series
Sequences
338(5)
Series
343(4)
The Integral Test and Estimates of Sums
347(3)
The Comparison Tests
350(3)
Alternating Series
353(3)
Absolute Convergence and the Ratio and Root Tests
356(5)
Strategy for Testing Series
361(2)
Power Series
363(3)
Representations of Functions as Power Series
366(4)
Taylor and Maclaurin Series
370(7)
The Binomial Series
377(2)
Applications of Taylor Polynomials
379(8)
Technology Plus for Chapter 12
383(4)
On Your Own
Chapter 1 On Your Own
387(4)
Chapter 2 On Your Own
391(6)
Chapter 3 On Your Own
397(10)
Chapter 4 On Your Own
407(11)
Chapter 5 On Your Own
418(5)
Chapter 6 On Your Own
423(5)
Chapter 7 On Your Own
428(12)
Chapter 8 On Your Own
440(8)
Chapter 9 On Your Own
448(5)
Chapter 10 On Your Own
453(7)
Chapter 11 On Your Own
460(6)
Chapter 12 On Your Own
466(12)
Answers to On Your Own 478


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