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9780495109556

Single Variable Essential Calculus

by
  • ISBN13:

    9780495109556

  • ISBN10:

    049510955X

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2006-03-22
  • Publisher: Brooks Cole
  • View Upgraded Edition

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Summary

Get the calculus textbook specifically designed for science or engineering majors. ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS takes what you need to know about calculus and presents it in simple and concise terms. And each chapter comes with a thorough review to make sure you've mastered the material. Get ready for upper level science or engineering equations with ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS.

Table of Contents

Functions and Limits
1(72)
Functions and Their Representations
1(9)
A Catalog of Essential Functions
10(14)
The Limit of a Function
24(11)
Calculating Limits
35(10)
Continuity
45(11)
Limits Involving Infinity
56(17)
Review
69(4)
Derivatives
73(69)
Derivatives and Rates of Change
73(10)
The Derivative as a Function
83(11)
Basic Differentiation Formulas
94(12)
The Product and Quotient Rules
106(7)
The Chain Rule
113(8)
Implicit Differentiation
121(6)
Related Rates
127(6)
Linear Approximations and Differentials
133(9)
Review
138(4)
Applications of Differentiation
142(52)
Maximum and Minimum Values
142(7)
The Mean Value Theorem
149(6)
Derivatives and the Shapes of Graphs
155(8)
Curve Sketching
163(7)
Optimization Problems
170(9)
Newton's Method
179(6)
Antiderivatives
185(9)
Review
191(3)
Integrals
194(52)
Areas and Distances
194(11)
The Definite Integral
205(12)
Evaluating Definite Integrals
217(10)
The Fundamental Theorem of Calculus
227(9)
The Substitution Rule
236(10)
Review
242(4)
Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
246(60)
Inverse Functions
246(8)
The Natural Logarithmic Function
254(8)
The Natural Exponential Function
262(6)
General Logarithmic and Exponential Functions
268(7)
Exponential Growth and Decay
275(8)
Inverse Trigonometric Functions
283(6)
Hyperbolic Functions
289(6)
Indeterminate Forms and l'Hospital's Rule
295(11)
Review
303(3)
Techniques of Integration
306(53)
Integration by Parts
306(6)
Trigonometric Integrals and Substitutions
312(10)
Partial Fractions
322(8)
Integration with Tables and Computer Algebra Systems
330(5)
Approximate Integration
335(12)
Improper Integrals
347(12)
Review
356(3)
Applications of Integration
359(53)
Areas between Curves
359(5)
Volumes
364(11)
Volumes by Cylindrical Shells
375(5)
Arc Length
380(6)
Applications to Physics and Engineering
386(13)
Differential Equations
399(13)
Review
409(3)
Series
412(72)
Sequences
412(10)
Series
422(9)
The Integral and Comparison Tests
431(8)
Other Convergence Tests
439(10)
Power Series
449(5)
Representing Functions as Power Series
454(6)
Taylor and Maclaurin Series
460(13)
Applications of Taylor Polynomials
473(11)
Review
481(3)
Parametric Equations and Polar Coordinates
484
Parametric Curves
484(6)
Calculus with Parametric Curves
490(8)
Polar Coordinates
498(8)
Areas and Lengths in Polar Coordinates
506(5)
Conic Sections in Polar Coordinates
511
Review
517
APPENDIXES
1
A. Trigonometry
1(9)
B. Proofs
10(11)
C. Sigma Notation
21(6)
D. Answers to Odd-Numbered Exercises
27
Index 59

Supplemental Materials

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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 access cards, study guides, lab manuals, CDs, etc.

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