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Study Guide for Single Variable Calculus, Early Transcendentals,9780534368203
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Study Guide for Single Variable Calculus, Early Transcendentals

by
Edition:
4th
ISBN13:

9780534368203

ISBN10:
0534368204
Format:
Paperback
Pub. Date:
8/23/1999
Publisher(s):
Brooks Cole
List Price: $83.00

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This is the 4th edition with a publication date of 8/23/1999.
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  • 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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Summary

Reinforces student understanding of calculus with additional explanations, worked-out examples, and practice problems.

Table of Contents

Functions and Models
Four Ways to Represent a Function
2(7)
Mathematical Models
9(6)
New Functions from Old Functions
15(4)
Graphing Calculators and Computers
19(2)
Exponential Functions
21(4)
Inverse Functions and Logarithms
25(9)
Technology Plus
31(3)
Limits and Rates of Change
The Tangent and Velocity Problems
34(3)
The Limit of a Function
37(8)
Calculating Limits Using the Limit Laws
45(7)
The Precise Definition of a Limit
52(5)
Continuity
57(4)
Limits at Infinity; Horizontal Asymptotes
61(6)
Tangents, Velocities, and Other Rates of Change
67(3)
Derivatives
70(5)
The Derivative as a Function
75(11)
Technology Plus
81(5)
Derivatives
Derivatives of Polynomials and Exponential Functions
86(3)
The Product and Quotient Rules
89(2)
Rates of Change in the Natural and Social Sciences
91(3)
Derivatives of Trigonometric Functions
94(3)
The Chain Rule
97(4)
Implicit Differentiation
101(7)
Higher Derivatives
108(3)
Derivatives of Logarithmic Functions
111(3)
Hyperbolic Functions
114(4)
Related Rates
118(5)
Linear Approximations and Differentials
123(7)
Technology Plus
126(4)
Applications of Differentiation
Maximum and Minimum Values
130(6)
The Mean Value Theorem
136(4)
How Derivatives Affect the Shape of a Graph
140(8)
Indeterminante Forms and L'Hospital's Rule
148(4)
Summary of Curve Sketching
152(5)
Graphing with Calculus and Calculators
157(2)
Optimization Problems
159(3)
Applications to Economics
162(2)
Newton's Method
164(2)
Antiderivatives
166(8)
Technology Plus
169(5)
Integrals
Areas and Distances
174(6)
The Definite Integral
180(6)
The Fundamental Theorem of Calculus
186(2)
Indefinite Integrals and the Total Change Theorem
188(4)
The Substitution Rule
192(6)
The Logarithm Defined as an Integral
198(8)
Technology Plus
203(3)
Applications of Integration
Areas between Curves
206(5)
Volumes
211(4)
Volumes by Cylindrical Shells
215(2)
Work
217(2)
Average Value of a Function
219(6)
Technology Plus
222(3)
Techniques of Integration
Integration by Parts
225(3)
Trigonometric Integrals
228(4)
Trigonometric Substitution
232(4)
Integration of Rational Functions by Partial Fractions
236(5)
Strategy for Integration
241(2)
Using Tables of Integrals and Computer Algebra Systems
243(2)
Approximate Integration
245(5)
Improper Integrals
250(8)
Technology Plus
254(4)
Further Applications of Integration
Arc Length
258(5)
Area of a Surface of Revolution
263(2)
Applications to Physics and Engineering
265(4)
Applications to Economics and Biology
269(2)
Probability
271(5)
Technology Plus
274(2)
Differential Equations
Modeling with Differential Equations
276(2)
Direction Fields and Euler's Method
278(3)
Separable Equations
281(3)
Exponential Growth and Decay
284(3)
The Logistic Equation
287(2)
Linear Equations
289(2)
Predator-Prey Systems
291(5)
Technology Plus
293(3)
Parametric Equations and Polar Coordinates
Curves Defined by Parametric Equations
296(4)
Tangents and Areas
300(4)
Arc Length and Surface Area
304(3)
Polar Coordinates
307(7)
Areas and Lengths in Polar Coordinates
314(3)
Conic Sections
317(4)
Conic Sections in Polar Coordinates
321(7)
Technology Plus
324(4)
Infinite Sequences and Series
Sequences
328(5)
Series
333(4)
The Integral Test and Estimates of Sums
337(3)
The Comparison Tests
340(3)
Alternating Series
343(3)
Absolute Convergence and the Ratio and Root Tests
346(5)
Strategy for Testing Series
351(2)
Power Series
353(3)
Representations of Functions as Power Series
356(4)
Taylor and Maclaurin Series
360(7)
The Binomial Series
367(2)
Applications of Taylor Polynomials
369(8)
Technology Plus
373(4)
On Your Own
Chapter 1 On Your Own
377(6)
Chapter 2 On Your Own
383(9)
Chapter 3 On Your Own
392(11)
Chapter 4 On Your Own
403(11)
Chapter 5 On Your Own
414(6)
Chapter 6 On Your Own
420(5)
Chapter 7 On Your Own
425(8)
Chapter 8 On Your Own
433(5)
Chapter 9 On Your Own
438(7)
Chapter 10 On Your Own
445(7)
Chapter 11 On Your Own
452(12)
Answers to On Your Own 464


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