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6 Partner Warehouse Mathematics- Calculus

Calculus: Single Variable (5TH 09 - Old Edition)

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Calculus: Single Variable (5TH 09 - Old Edition) Cover

 

Synopses & Reviews

Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.

Publisher Comments:

The fifth edition of Calculus  brings together the best of both new and traditional curricula in an effort to meet the needs of even more instructors teaching calculus. The author team's extensive experience teaching from both traditional and innovative books and their expertise in developing innovative problems put them in an unique position to make this new curriculum meaningful to students going into mathematics and those going into the sciences and engineering.    Calculus: Single Variable, 5e exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that students can read and understand and a flexible approach to technology. The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students.  The fifth edition includes even more problems and additional skill-building exercises.

Synopsis:

Calculus teachers recognize Calculus as the leading resource among the "reform" projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The fifth edition uses all strands of the "Rule of Four" - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique.

Synopsis:

Calculus teachers recognize Calculus as the leading resource among the "reform" projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The fifth edition uses all strands of the "Rule of Four" - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique.

Table of Contents

1 A LIBRARY OF FUNCTIONS

1.1 Functions and Change

1.2 Exponential Functions

1.3 New Functions from Old

1.4 Logarithmic Functions

1.5 Trigonometric Functions

1.6 Powers, Polynomials, and Rational Functions

1.7 Introduction to Continuity

1.8 Limits

Review Problems

Check Your Understanding

Projects: Matching Functions to Data, Which Way Is the Wind Blowing?

2 KEY CONCEPT: THE DERIVATIVE

2.1 How Do We Measure Speed?

2.2 The Derivative at a Point

2.3 The Derivative Function

2.4 Interpretations of the Derivative

2.5 The Second Derivative

2.6 Differentiability

Review Problems

Check Your Understanding

Projects: Hours of Daylight as a Function of Latitude, US Population

3 SHORT-CUTS TO DIFFERENTIATION

3.1 Powers and Polynomials

3.2 The Exponential Function

3.3 The Product and Quotient Rules

3.4 The Chain Rule

3.5 The Trigonometric Functions

3.6 The Chain Rule and Inverse Functions

3.7 Implicit Functions

3.8 Hyperbolic Functions

3.9 Linear Approximation and the Derivative

3.10 Theorems about Differentiable Functions

Review Problems

Check Your Understanding

Projects: Rule of 70, Newton? ?s Method

4 USING THE DERIVATIVE

4.1 Using First and Second Derivatives

4.2 Optimization

4.3 Families of Functions

4.4 Optimization, Geometry, and Modeling

4.5 Applications to Marginality

4.6 Rates and Related Rates

4.7 L? ?hopital? ?s Rule, Growth, and Dominance

4.8 Parametric Equations

Review Problems

Check Your Understanding

Projects: Building a Greenhouse, Fitting a Line to Data, Firebreaks

5 KEY CONCEPT: THE DEFINITE INTEGRAL

5.1 How Do We Measure Distance Traveled?

5.2 The Definite Integral

5.3 The Fundamental Theorem and Interpretations

5.4 Theorems about Definite Integrals

Review Problems

Check Your Understanding

Projects: The Car and the Truck, An Orbiting Satellite

6 CONSTRUCTING ANTIDERIVATIVES

6.1 Antiderivatives Graphically and Numerically

6.2 Constructing Antiderivatives Analytically

6.3 Differential Equations

6.4 Second Fundamental Theorem of Calculus

6.5 The Equations of Motion

Review Problems

Check Your Understanding

Projects: Distribution of Resources, Yield from an Apple Orchard, Slope Fields

7 INTEGRATION

7.1 Integration by Substitution

7.2 Integration by Parts

7.3 Tables of Integrals

7.4 Algebraic Identities and Trigonometric Substitutions

7.5 Approximating Definite Integrals

7.6 Approximation Errors and Simpson? ?s Rule

7.7 Improper Integrals

7.8 Comparison of Improper Integrals

Review Problems

Check Your Understanding

Projects: Taylor Polynomial Inequalities

8 USING THE DEFINITE INTEGRAL

8.1 Areas and Volumes

8.2 Applications to Geometry

8.3 Area and Arc Length in Polar Coordinates

8.4 Density and Center of Mass

8.5 Applications to Physics

8.6 Applications to Economics

8.7 Distribution Functions

8.8 Probability, Mean, and Median

Review Problems

Check Your Understanding

Projects: Volume Enclosed by Two Cylinders, Length of a Hanging Cable, Surface Area of an Unpaintable Can of Paint, Maxwell? ?s Distribution of Molecular Velocities

9 SEQUENCES AND SERIES

9.1 Sequences

9.2 Geometric Series

9.3 Convergence of Series

9.4 Tests for Convergence

9.5 Power Series and Interval of Convergence

Review Problems

Check Your Understanding

Projects: A Definition of e, Probability of Winning in Sports, Prednisone

10 APPROXIMATING FUNCTIONS USING SERIES

10.1 Taylor Polynomials

10.2 Taylor Series

10.3 Finding and Using Taylor Series

10.4 The Error in Taylor Polynomial Approximations

10.5 Fourier Series

Review Problems

Check Your Understanding

Projects: Shape of Planets, Machin? ?s Formula and the Value of pi, Approximation the Derivative

11 DIFFERENTIAL EQUATIONS

11.1 What Is a Differential Equation?

11.2 Slope Fields

11.3 Euler? ?s Method

11.4 Separation of Variables

11.5 Growth and Decay

11.6 Applications and Modeling

11.7 The Logistic Model

11.8 Systems of Differential Equations

11.9 Analyzing the Phase Plane

11.10 Second-Order Differential Equations: Oscillations

11.11 Linear Second-Order Differential Equations

Review Problems

Check Your Understanding

Projects: SARS Predictions for Hong Kong, A S-I-R Model for SARS, Pareto? ?s Law, Vibrations in a Molecule

Product Details

ISBN:
9780470089156
Subtitle:
Single Variable
Author:
Hughes-hallett, Deborah
Author:
Hallett, Deborah Hughes
Author:
Thrash, Joseph
Author:
Gleason, Andrew M.
Author:
Rhea, Karen R.
Author:
Tucker, Thomas W.
Author:
Cram101 Textbook Reviews
Author:
Pasquale, Andrew
Author:
Hughes-Hallett, Deborah
Author:
Gordon, Sheldon P.
Author:
Tecosky-Feldman, Jeff
Author:
Sheldo
Author:
Flath, Daniel E.
Author:
McCallum, William G.
Author:
Lock, Patti Frazer
Author:
Lomen, David O.
Author:
n P. Gordon
Author:
Quinney, Douglas
Author:
Lovelock, David
Publisher:
Wiley
Subject:
Calculus
Subject:
Mathematics-Calculus
Subject:
Education-General
Copyright:
Edition Description:
WebSite Associated w/Book
Publication Date:
October 2008
Binding:
Online electronic file accessible through online networks
Grade Level:
College/higher education:
Language:
English
Illustrations:
Y
Pages:
736
Dimensions:
10.30x8.40x1.00 in. 2.80 lbs.

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Calculus: Single Variable (5TH 09 - Old Edition) Used Trade Paper
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$141.00 In Stock
Product details 736 pages John Wiley & Sons - English 9780470089156 Reviews:
"Synopsis" by , Calculus teachers recognize Calculus as the leading resource among the "reform" projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The fifth edition uses all strands of the "Rule of Four" - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique.
"Synopsis" by , Calculus teachers recognize Calculus as the leading resource among the "reform" projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The fifth edition uses all strands of the "Rule of Four" - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique.
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