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Calculus - With CD (Custom Package)

Calculus - With CD (Custom Package) - 6th edition

ISBN13: 978-0536279781

Cover of Calculus - With CD (Custom Package) 6TH 02 (ISBN 978-0536279781)
ISBN13: 978-0536279781
ISBN10: 0536279780
Cover type:
Edition/Copyright: 6TH 02
Publisher: Pearson Custom
Published: 2002
International: No

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Calculus - With CD (Custom Package) - 6TH 02 edition

ISBN13: 978-0536279781

C. Henry Edwards and David E. Penney

ISBN13: 978-0536279781
ISBN10: 0536279780
Cover type:
Edition/Copyright: 6TH 02
Publisher: Pearson Custom

Published: 2002
International: No

For three-semester undergraduate-level courses in Calculus.

This text combines traditional mainstream calculus with the most flexible approach to new ideas and calculator/computer technology. It contains superb problem sets and a fresh conceptual emphasis flavored by new technological possibilities. The Calculus II portion now has a new focus on differential equations.

Features :

  • NEW-CD Shows animations of nearly all the text examples. It also has the entire book in Maple notebooks.
  • NEW-An entire chapter devoted to calculus of transcendental functions-Combines parts of two previous chapters into the new Ch. 7.
  • Provides students with a clearer explanation of this subject within one solid, unified, and fully rewritten chapter.
  • NEW-Expanded treatment of differential equations (New Chapter 9).
  • Introduces students to both direction fields and Euler's method together with the more symbolic elementary methods and applications for both first- and second-order equations.
  • NEW-1040 new True/False Questions-Available on the CD. They focus on theory and push the student to read.
  • NEW-Reorganized content-Covers applied max-min problems in Ch.3 and defers related rates to Ch.4.
  • Offers students the opportunities to focus on and study these challenging topics in separate chapters-and test their knowledge of them in separate unit tests.
  • Approximately 7000 total problems and interesting applications-Covers all ranges of difficulty, highly theoretical and computationally oriented problems.
  • Encourages students to learn by doing.
  • Technology projects-Features icons that take users to Maple/ Mathematica/MATLAB/Calculator resources on the CD-ROM.
  • Gives students the opportunity to apply conceptually based technology following key sections of the text.
  • 320 Section-ending Concepts: Questions & Discussion.
  • Serves students with a basis for either writing assignments or class discussion.
  • Small optional section of matrix terminology and notation in the multivariable portion of the text.
  • A lively and accessible writing style.
  • Helps students feel comfortable with the topics covered, and their ability to master them.
  • Most visual text on the market.
  • Highlights are hundreds of Mathematica and MATLAB generated figures.

Table of Contents

1. Functions, Graphs, and Models

Functions and Mathematical Modeling
Graphs of Equations and Functions
Polynomials and Algebraic Functions
Transcendental Functions
Preview: What Is Calculus?

2. Prelude to Calculus

Tangent Lines and Slope Predictors
The Limit Concept
More about Limits
The Concept of Continuity

3. The Derivative

The Derivative and Rates of Change
Basic Differentiation Rules
The Chain Rule
Derivatives of Algebraic Functions
Maxima and Minima of Functions on Closed Intervals
Applied Optimization Problems
Derivatives of Trigonometric Functions
Successive Approximations and Newton's Method

4. Additional Applications of the Derivative

Implicit Differentiation and Related Rates
Increments, Differentials, and Linear Approximation
Increasing and Decreasing Functions and the Mean Value Theorem
The First Derivative Test and Applications
Simple Curve Sketching
Higher Derivatives and Concavity
Curve Sketching and Asymptotes

5. The Integral

Antiderivatives and Initial Value Problems
Elementary Area Computations
Riemann Sums and the Integral
Evaluation of Integrals
The Fundamental Theorem of Calculus
Integration by Substitution
Areas of Plane Regions
Numerical Integration

6. Applications of the Integral

Riemann Sum Approximations
Volumes by the Method of Cross Sections
Volumes by the Method of Cylindrical Shells
Arc Length and Surface Area of Revolution
Force and Work
Centroids of Plane Regions and Curves

7. Calculus of Transcendental Functions

Exponential and Logarithmic Functions
Indeterminate Forms and L'Hopîtal's Rule
More Indeterminate Forms
The Logarithm as an Integral
Inverse Trigonometric Functions
Hyperbolic Functions

8. Techniques of Integration

Integral Tables and Simple Substitutions
Integration by Parts
Trigonometric Integrals
Rational Functions and Partial Fractions
Trigonometric Substitutions
Integrals Involving Quadratic Polynomials
Improper Integrals

9. Differential Equations

Simple Equations and Models
Slope Fields and Euler's Method
Separable Equations and Applications
Linear Equations and Applications
Population Models
Linear Second-Order Equations
Mechanical Vibrations

10. Polar Coordinates and Parametric Curves

Analytic Geometry and the Conic Sections
Polar Coordinates
Area Computations in Polar Coordinates
Parametric Curves
Integral Computations with Parametric Curves
Conic Sections and Applications

11. Infinite Series

Infinite Sequences
Infinite Series and Convergence
Taylor Series and Taylor Polynomials
The Integral Test
Comparison Tests for Positive-Term Series
Alternating Series and Absolute Convergence
Power Series
Power Series Computations
Series Solutions of Differential Equations

12. Vectors, Curves, and Surfaces in Space

Vectors in the Plane
Rectangular Coordinates and Three-Dimensional Vectors
The Cross Product of Vectors
Lines and Planes in Space
Curves and Motions in Space
Curvature and Acceleration
Cylinders and Quadric Surfaces
Cylindrical and Spherical Coordinates

13. Partial Differentiation

Functions of Several Variables
Limits and Continuity
Partial Derivatives
Multivariable Maxima and Minima
Increments and Linear Approximation
The Multivariable Chain Rule
Directional Derivatives and Gradient Vectors
Lagrange Multipliers and Constrained Optimization
Critical Points of Multivariable Functions

14. Multiple Integrals

Double Integrals
Double Integrals over More General Regions
Area and Volume by Double Integration
Double Integrals in Polar Coordinates
Applications of Double Integrals
Triple Integrals
Integration in Cylindrical and Spherical Coordinates
Surface Area
Change of Variables in Multiple Integrals

15. Vector Calculus

Vector Fields
Line Integrals
The Fundamental Theorem and Independence of Path
Green's Theorem
Surface Integrals
The Divergence Theorem
Stokes' Theorem


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