Student Solutions Manual for Stewart’s Single Variable Calculus: Concepts and Contexts (with CD), 2nd

by Cole, Jeffery A.

• ISBN13: 9780534379230
• ISBN10: 0534379230
• Additional ISBN(s): 9780534410230
• Edition: 2nd
• Format: Paperback
• Copyright: 2001-03-22
• Publisher: Brooks Cole
• More Book Details
• Purchase Benefits

Summary

This Student Solutions Manual, written by Jeff Cole, contains detailed solutions to the odd-numbered exercises in each chapter section, review section, True-False Quiz, and Focus on Problem Solving section. Also included are solutions to all Concept Check questions.

Table of Contents

Functions and Models

Four Ways to Represent a Function

Mathematical Models: A Catalog of Essential Functions

New Functions from Old Functions

Graphing Calculators and Computers

Review

Principles of Problem Solving

Limits

The Tangent and Velocity Problems

The Limit of a Function

Calculating Limits Using the Limit Laws

The Precise Definition of a Limit

Continuity

Review

Problems Plus

Derivatives

Derivatives and Rates of Change

Writing Project: Early Methods for Finding Tangents

The Derivative as a Function

Differentiation Formulas

Applied Project: Building a Better Roller Coaster

Derivatives of Trigonometric Functions

The Chain Rule

Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation

Rates of Change in the Natural and Social Sciences

Related Rates

Linear Approximations and Differentials

Laboratory Project: Taylor Polynomials

Review

Problems Plus

Applications Of Differentiation

Maximum and Minimum Values

Applied Project: The Calculus of Rainbows

The Mean Value Theorem

How Derivatives Affect the Shape of a Graph

Limits at Infinity

Horizontal Asymptotes

Summary of Curve Sketching

Graphing with Calculus and Calculators

Optimization Problems

Applied Project: The Shape of a Can

Newton's Method

Antiderivatives

Review

Problems Plus

Integrals

Areas and Distances

The Definite Integral

Discovery Project: Area Functions

The Fundamental Theorem of Calculus

Indefinite Integrals and the Net Change Theorem

Writing Project: Newton, Leibniz, and the Invention of Calculus

The Substitution Rule

Review

Problems Plus

Applications Of Integration

Areas between Curves

Volume

Volumes by Cylindrical Shells

Work

Average Value of a Function

Review

Problems Plus

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Inverse Functions. (Instructors may cover either Sections 7.2-7.4 or Sections 7.2*-7.4*. See the Preface.)

Exponential Functions and Their Derivatives

Logarithmic Functions

Derivatives of Logarithmic Functions

The Natural Logarithmic Function

The Natural Exponential Function

General Logarithmic and Exponential Functions

Exponential Growth and Decay

Inverse Trigonometric Functions

Applied Project: Where to Sit at the Movies

Hyperbolic Functions

Indeterminate Forms and L'Hospital's Rule

Writing Project: The Origins of L'Hospital's Rule

Review

Problems Plus

Techniques Of Integration

Integration by Parts

Trigonometric Integrals

Trigonometric Substitution

Integration of Rational Functions by Partial Fractions

Strategy for Integration

Integration Using Tables and Computer Algebra Systems

Discovery Project: Patterns in Integrals

Approximate Integration

Improper Integrals

Review

Problems Plus

Further Applications Of Integration

Arc Length

Discovery Project: Arc Length Contest

Area of a Surface of Revolution

Discovery Project: Rotating on a Slant

Applications to Physics and Engineering

Discovery Project: Complementary Coffee Cups

Applications to Economics and Biology

Probability

Review

Problems Plus

Differential Equations

Modeling with Differential Equations

Direction Fields and Euler's Method

Separable Equations

Applied Project: Which is Faster, Going Up or Coming Down? Models for Population Growth

Applied Project: Calculus and Baseball

Linear Equations

Predator-Prey Systems

Review

Problems Plus

Parametric Equations and Polar Coordinates

Curves Defined by Parametric Equations

Laboratory Project: Families of Hypocycloids

Calculus with Parametric Curves

Laboratory Project: Bezier Curves

Polar Coordinates

Areas and Lengths in Polar Coordinates

Conic Sections

Conic Sections in Polar Coordinates

Review

Problems Plus

Infinite Sequences and Series

Sequences

Laboratory Project: Logistic Sequences

Series

The Integral Test and Estimates of Sums

The Comparison Tests

Alternating Series

Absolute Convergence and the Ratio and

Table of Contents provided by Publisher. All Rights Reserved.