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Single Variable Calculus Early Transcendentals,9780534393335
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Single Variable Calculus Early Transcendentals

by
Edition:
5th
ISBN13:

9780534393335

ISBN10:
0534393330
Format:
Paperback
Pub. Date:
6/20/2003
Publisher(s):
Brooks Cole
List Price: $89.00

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This is the 5th edition with a publication date of 6/20/2003.
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Table of Contents

Functions and Models
1(32)
Four Ways to Represent a Function
1(4)
Mathematical Models: A Catalog of Essential Functions
5(3)
New Functions from Old Functions
8(6)
Graphing Calculators and Computers
14(4)
Exponential Functions
18(3)
Inverse Functions and Logarithms
21(12)
Review
25(6)
Principles of Problem Solving
31(2)
Limits and Derivatives
33(44)
The Tangent and Velocity Problems
33(2)
The Limit of a Function
35(4)
Calculating Limits Using the Limit Laws
39(4)
The Precise Definition of a Limit
43(3)
Continuity
46(5)
Limits at Infinity; Horizontal Asymptotes
51(7)
Tangents, Velocities, and Other Rates of Change
58(3)
Derivatives
61(3)
The Derivative as a Function
64(13)
Review
69(6)
Problems Plus
75(2)
Differentiation Rules
77(56)
Derivatives of Polynomials and Exponential Functions
77(4)
The Product and Quotient Rules
81(3)
Rates of Change in the Natural and Social Sciences
84(4)
Derivatives of Trigonometric Functions
88(2)
The Chain Rule
90(5)
Implicit Differentiation
95(6)
Higher Derivatives
101(4)
Derivatives of Logarithmic Functions
105(3)
Hyperbolic Functions
108(3)
Related Rates
111(4)
Linear Approximations and Differentials
115(18)
Review
118(9)
Problems Plus
127(6)
Applications of Differentiation
133(88)
Maximum and Minimum Values
133(5)
The Mean Value Theorem
138(3)
How Derivatives Affect the Shape of a Graph
141(11)
Indeterminate Forms and L'Hospital's Rule
152(5)
Summary of Curve Sketching
157(13)
Graphing with Calculus and Calculators
170(10)
Optimization Problems
180(10)
Applications to Business and Economics
190(2)
Newton's Method
192(5)
Antiderivatives
197(24)
Review
202(13)
Problems Plus
215(6)
Integrals
221(30)
Areas and Distances
221(5)
The Definite Integral
226(5)
The Fundamental Theorem of Calculus
231(4)
Indefinite Integrals and the Net Change Theorem
235(3)
The Substitution Rule
238(4)
The Logarithm Defined as an Integral
242(9)
Review
243(6)
Problems Plus
249(2)
Applications of Integration
251(32)
Areas between Curves
251(7)
Volumes
258(8)
Volumes by Cylindrical Shells
266(5)
Work
271(2)
Average Value of a Function
273(10)
Review
274(5)
Problems Plus
279(4)
Techniques of Integration
283(56)
Integration by Parts
283(4)
Trigonometric Integrals
287(4)
Trigonometric Substitution
291(5)
Integration of Rational Functions by Partial Fractions
296(7)
Strategy for Integration
303(5)
Integration Using Tables and Computer Algebra Systems
308(4)
Approximate Integration
312(7)
Improper Integrals
319(20)
Review
326(9)
Problems Plus
335(4)
Further Applications of Integration
339(26)
Arc Length
339(3)
Area of a Surface of Revolution
342(4)
Applications to Physics and Engineering
346(7)
Applications to Economics and Biology
353(2)
Probability
355(10)
Review
357(4)
Problems Plus
361(4)
Differential Equations
365(32)
Modeling with Differential Equations
365(1)
Direction Fields and Euler's Method
366(4)
Separable Equations
370(5)
Exponential Growth and Decay
375(2)
The Logistic Equation
377(4)
Linear Equations
381(4)
Predator-Prey Systems
385(12)
Review
387(6)
Problems Plus
393(4)
Parametric Equations and Polar Coordinates
397(46)
Curves Defined by Parametric Equations
397(5)
Calculus with Parametric Curves
402(8)
Polar Coordinates
410(9)
Areas and Lengths in Polar Coordinates
419(7)
Conic Sections
426(4)
Conic Sections in Polar Coordinates
430(13)
Review
433(8)
Problems Plus
441(2)
Infinite Sequences and Series
443(78)
Sequences
443(5)
Series
448(6)
The Integral Test and Estimates of Sums
454(4)
The Comparison Tests
458(2)
Alternating Series
460(3)
Absolute Convergence and the Ratio and Root Tests
463(3)
Strategy for Testing Series
466(2)
Power Series
468(3)
Representations of Functions as Power Series
471(5)
Taylor and Maclaurin Series
476(7)
The Binomial Series
483(4)
Applications of Taylor Polynomials
487(20)
Review
494(7)
Problems Plus
501(6)
APPENDIXES
A Numbers, Inequalities, and Absolute Values
507(2)
B Coordinate Geometry and Lines
509(3)
C Graphs of Second-Degree Equations
512(2)
D Trigonometry
514(5)
E Sigma Notation
519(2)
G Complex Numbers
521


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