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by Robert T. Smith and Roland B Minton

Cover type: HardbackEdition: 3RD 07

Copyright: 2007

Publisher: McGraw-Hill Publishing Company

Published: 2007

International: No

List price: $223.50

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This interactive,self-paced,text-specific CD-ROM allows students to practice their problem-solving skills via algorithmically generated problems and diagnostic tests.

**0. Preliminaries**

0.1. The Real Numbers and the Cartesian Plane

0.2. Lines and Functions

0.3. Graphing Calculators and Computer Algebra Systems

0.4. Solving Equations

0.5. Trigonometric Functions

0.6. Exponential and Logarithmic Functions

0.7. Transformations of Functions

0.8. Preview of Calculus

**1 Limits and Continuity **

1.1. The Concept of Limit

1.2. Computation of Limits

1.3. Continuity and its Consequences

1.4. Limits Involving Infinity

1.5. Formal Definition of the Limit

1.6. Limits and Loss-of-Significance Errors

**2 Differentiation **

2.1. Tangent Lines and Velocity

2.2. The Derivative

2.3. Computation of Derivatives: The Power Rule

2.4. The Product and Quotient Rules

2.5. Derivatives of Trigonometric Functions

2.6. Derivatives of Exponential and Logarithmic Functions

2.7. The Chain Rule

2.8. Implicit Differentiation and Related Rates

2.9. The Mean Value Theorem

**3 Applications of Differentiation **

3.1. Linear Approximations adn L'Hopital's Rule

3.2. Newton's Method

3.3. Maximum and Minimum Values

Summary

This interactive,self-paced,text-specific CD-ROM allows students to practice their problem-solving skills via algorithmically generated problems and diagnostic tests.

Table of Contents

**0. Preliminaries**

0.1. The Real Numbers and the Cartesian Plane

0.2. Lines and Functions

0.3. Graphing Calculators and Computer Algebra Systems

0.4. Solving Equations

0.5. Trigonometric Functions

0.6. Exponential and Logarithmic Functions

0.7. Transformations of Functions

0.8. Preview of Calculus

**1 Limits and Continuity **

1.1. The Concept of Limit

1.2. Computation of Limits

1.3. Continuity and its Consequences

1.4. Limits Involving Infinity

1.5. Formal Definition of the Limit

1.6. Limits and Loss-of-Significance Errors

**2 Differentiation **

2.1. Tangent Lines and Velocity

2.2. The Derivative

2.3. Computation of Derivatives: The Power Rule

2.4. The Product and Quotient Rules

2.5. Derivatives of Trigonometric Functions

2.6. Derivatives of Exponential and Logarithmic Functions

2.7. The Chain Rule

2.8. Implicit Differentiation and Related Rates

2.9. The Mean Value Theorem

**3 Applications of Differentiation **

3.1. Linear Approximations adn L'Hopital's Rule

3.2. Newton's Method

3.3. Maximum and Minimum Values

Publisher Info

Publisher: McGraw-Hill Publishing Company

Published: 2007

International: No

Published: 2007

International: No

**0. Preliminaries**

0.1. The Real Numbers and the Cartesian Plane

0.2. Lines and Functions

0.3. Graphing Calculators and Computer Algebra Systems

0.4. Solving Equations

0.5. Trigonometric Functions

0.6. Exponential and Logarithmic Functions

0.7. Transformations of Functions

0.8. Preview of Calculus

**1 Limits and Continuity **

1.1. The Concept of Limit

1.2. Computation of Limits

1.3. Continuity and its Consequences

1.4. Limits Involving Infinity

1.5. Formal Definition of the Limit

1.6. Limits and Loss-of-Significance Errors

**2 Differentiation **

2.1. Tangent Lines and Velocity

2.2. The Derivative

2.3. Computation of Derivatives: The Power Rule

2.4. The Product and Quotient Rules

2.5. Derivatives of Trigonometric Functions

2.6. Derivatives of Exponential and Logarithmic Functions

2.7. The Chain Rule

2.8. Implicit Differentiation and Related Rates

2.9. The Mean Value Theorem

**3 Applications of Differentiation **

3.1. Linear Approximations adn L'Hopital's Rule

3.2. Newton's Method

3.3. Maximum and Minimum Values