You are here

Calculus: Early Transcendentals

Publisher: 
Addison Wesley
Number of Pages: 
1216
Price: 
186.67
ISBN: 
9780321570567
Date Received: 
Monday, February 7, 2011
Reviewable: 
Include In BLL Rating: 
Reviewer Email Address: 
William Briggs and Lyle Cochran
Publication Date: 
2011
Format: 
Hardcover
Audience: 
Category: 
Textbook

Chapter 1: Functions

1.1 Review of Functions

1.2 Representing Functions

1.3 Inverse, Exponential, and Logarithm Functions

1.4 Trigonometric Functions and Their Inverses

 

Chapter 2: Limits

2.1 The Idea of Limits

2.2 Definitions of Limits

2.3 Techniques for Computing Limits

2.4 Infinite Limits

2.5 Limits at Infinity

2.6 Continuity

2.7 Precise Definitions of Limits

 

Chapter 3: Derivatives

3.1 Introducing the Derivative

3.2 Rules of Differentiation

3.3 The Product and Quotient Rules

3.4 Derivatives of Trigonometric Functions

3.5 Derivatives as Rates of Change

3.6 The Chain Rule

3.7 Implicit Differentiation

3.8 Derivatives of Logarithmic and Exponential Functions

3.9 Derivatives of Inverse Trigonometric Functions

3.10 Related Rates

 

Chapter 4: Applications of the Derivative

4.1 Maxima and Minima

4.2 What Derivatives Tell Us

4.3 Graphing Functions

4.4 Optimization Problems

4.5 Linear Approximation and Differentials

4.6 Mean Value Theorem

4.7 L’Hôpital’s Rule

4.8 Antiderivatives

 

Chapter 5: Integration

5.1 Approximating Areas under Curves

5.2 Definite Integrals

5.3 Fundamental Theorem of Calculus

5.4 Working with Integrals

5.5 Substitution Rule

 

Chapter 6: Applications of Integration

6.1 Velocity and Net Change

6.2 Regions between Curves

6.3 Volume by Slicing

6.4 Volume by Shells

6.5 Length of Curves

6.6 Physical Applications

6.7 Logarithmic and exponential functions revisited

6.8 Exponential models

 

Chapter 7: Integration Techniques

7.1 Integration by Parts

7.2 Trigonometric Integrals

7.3 Trigonometric Substitution

7.4 Partial Fractions

7.5 Other Integration Strategies

7.6 Numerical Integration

7.7 Improper Integrals

7.8 Introduction to Differential Equations

 

Chapter 8: Sequences and Infinite Series

8.1 An Overview

8.2 Sequences

8.3 Infinite Series

8.4 The Divergence and Integral Tests

8.5 The Ratio and Comparison Tests

8.6 Alternating Series

 

Chapter 9: Power Series

9.1 Approximating Functions with Polynomials

9.2 Power Series

9.3 Taylor Series

9.4 Working with Taylor Series

 

Chapter 10: Parametric and Polar Curves

10.1 Parametric Equations

10.2 Polar Coordinates

10.3 Calculus in Polar Coordinates

10.4 Conic Sections

 

Chapter 11: Vectors and Vector-Valued Functions

11.1 Vectors in the Plane

11.2 Vectors in Three Dimensions

11.3 Dot Products

11.4 Cross Products

11.5 Lines and Curves in Space

11.6 Calculus of Vector-Valued Functions

11.7 Motion in Space

11.8 Length of Curves

11.9 Curvature and Normal Vectors

 

Chapter 12: Functions of Several Variables

12.1 Planes and Surfaces

12.2 Graphs and Level Curves

12.3 Limits and Continuity

12.4 Partial Derivatives

12.5 The Chain Rule

12.6 Directional Derivatives and the Gradient

12.7 Tangent Planes and Linear Approximation

12.8 Maximum/Minimum Problems

12.9 Lagrange Multipliers

 

Chapter 13: Multiple Integration

13.1 Double Integrals over Rectangular Regions

13.2 Double Integrals over General Regions

13.3 Double Integrals in Polar Coordinates

13.4 Triple Integrals

13.5 Triple Integrals in Cylindrical and Spherical Coordinates

13.6 Integrals for Mass Calculations

13.7 Change of Variables in Multiple Integrals

 

Chapter 14: Vector Calculus

14.1 Vector Fields

14.2 Line Integrals

14.3 Conservative Vector Fields

14.4 Green’s Theorem

14.5 Divergence and Curl

14.6 Surface Integrals

14.7 Stokes’ Theorem

14.8 Divergence Theorem

 

Publish Book: 
Modify Date: 
Friday, December 16, 2011

Dummy View - NOT TO BE DELETED