Calculus: Early Transcendentals, Books a la Carte Edition

By Bill Briggs, Lyle Cochran

Published by Pearson

Published Date: Jan 7, 2010

Description

This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books à la Carte also offer a great value–this format costs significantly less than a new textbook.

 

Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher’s voice beyond the classroom. That voice—evident in the narrative, the figures, and the questions interspersed in the narrative—is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers’ geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope.

Table of Contents

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

 

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

14.6 Stokes’ Theorem

14.8 Divergence Theorem

Purchase Info

ISBN-10: 0-321-69294-2

ISBN-13: 978-0-321-69294-8

Format: Alternate Binding

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