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Single Var Calc Trans 5e Sg,9780534393311
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Single Var Calc Trans 5e Sg

by
Edition:
5th
ISBN13:

9780534393311

ISBN10:
0534393314
Format:
Paperback
Pub. Date:
1/6/2003
Publisher(s):
Brooks Cole

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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 Functions
17(4)
Graphing Calculators and Computers
21(2)
Exponential Functions
23(4)
Inverse Functions and Logarithms
27(9)
Technology Plus
33(3)
Limits and Rates of Change
The Tangent and Velocity Problems
36(3)
The Limit of a Function
39(8)
Calculating Limits Using the Limit Laws
47(7)
The Precise Definition of a Limit
54(5)
Continuity
59(4)
Limits at Infinity; Horizontal Asymptotes
63(6)
Tangents, Velocities, and Other Rates of Change
69(3)
Derivatives
72(5)
The Derivative as a Function
77(11)
Technology Plus
83(5)
Derivatives
Derivatives of Polynomials and Exponential Functions
88(3)
The Product and Quotient Rules
91(2)
Rates of Change in the Natural and Social Sciences
93(3)
Derivatives of Trigonometric Functions
96(3)
The Chain Rule
99(4)
Implicit Differentiation
103(7)
Higher Derivatives
110(3)
Derivatives of Logarithmic Functions
113(3)
Hyperbolic Functions
116(4)
Related Rates
120(6)
Linear Approximations and Differentials
126(8)
Technology Plus
130(4)
Applications of Differentiation
Maximum and Minimum Values
134(6)
The Mean Value Theorem
140(4)
How Derivatives Affect the Shape of a Graph
144(8)
Indeterminante Forms and L' Hospital's Rule
152(4)
Summary of Curve Sketching
156(5)
Graphing with Calculus and Calculators
161(2)
Optimization Problems
163(3)
Applications to Business and Economics
166(2)
Newton's Method
168(2)
Antiderivatives
170(8)
Technology Plus
173(5)
Integrals
Areas and Distances
178(6)
The Definite Integral
184(6)
The Fundamental Theorem of Calculus
190(2)
Indefinite Integrals and the Net Change Theorem
192(4)
The Substitution Rule
196(6)
The Logarithm Defined as an Integral
202(8)
Technology Plus
207(3)
Applications of Integration
Areas between Curves
210(5)
Volumes
215(4)
Volumes by Cylindrical Shells
219(2)
Work
221(2)
Average Value of a Function
223(6)
Technology Plus
226(3)
Techniques of Integration
Integration by Parts
229(3)
Trigonometric Integrals
232(4)
Trigonometric Substitution
236(4)
Integration of Rational Functions by Partial Fractions
240(5)
Strategy for Integration
245(2)
Using Tables of Integrals and Computer Algebra Systems
247(2)
Approximate Integration
249(5)
Improper Integrals
254(8)
Technology Plus
258(4)
Further Applications of Integration
Arc Length
262(5)
Area of a Surface of Revolution
267(2)
Applications to Physics and Engineering
269(4)
Applications to Economics and Biology
273(2)
Probability
275(5)
Technology Plus
278(2)
Differential Equations
Modeling with Differential Equations
280(2)
Direction Fields and Euler's Method
282(3)
Separable Equations
285(3)
Exponential Growth and Decay
288(3)
The Logistic Equation
291(2)
Linear Equations
293(2)
Predator-Prey Systems
295(5)
Technology Plus
297(3)
Parametric Equations and Polar Coordinates
Curves Defined by Parametric Equations
300(4)
Calculus with Parametric Curves
304(6)
Polar Coordinates
310(7)
Areas and Lengths in Polar Coordinates
317(3)
Conic Sections
320(4)
Conic Section in Polar Coordinates
324(6)
Technology Plus
327(3)
Infinite Sequences and Series
Sequences
330(5)
Series
335(4)
The Integral Test and Estimates of Sums
339(3)
The Comparison Tests
342(3)
Alternating Series
345(3)
Absolute Convergence and the Ratio and Root Tests
348(5)
Strategy for Testing Series
353(2)
Power Series
355(3)
Representations of Functions as Power Series
358(4)
Taylor and Maclaurin Series
362(7)
The Binomial Series
369(2)
Applications of Taylor Polynomials
371(8)
Technology Plus
375(4)
On Your Own
Chapter 1 On Your Own
379(6)
Chapter 2 On Your Own
385(9)
Chapter 3 On Your Own
394(11)
Chapter 4 On Your Own
405(11)
Chapter 5 On Your Own
416(6)
Chapter 6 On Your Own
422(5)
Chapter 7 On Your Own
427(8)
Chapter 8 On Your Own
435(5)
Chapter 9 On Your Own
440(7)
Chapter 10 On Your Own
447(6)
Chapter 11 On Your Own
453(12)
Answers to On Your Own 465


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