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Interactive Examples

(Under development)

Keys to the Interactive Examples by course:

Calculus text (under revision)

Table of contents

Introduction

To the instructor

Graphing calculator support

Sample Chapters

CHAPTER 1 LIMITS AND CONTINUITY

Section 1.1 Finite limits

Section 1.2 More on finite limits

Section 1.3 Continuity

Section 1.4 Limits involving infinity

Section 1.5 Formal definitions of limits

Section 1.R Review exercises

CHAPTER 2 THE DERIVATIVE AND APPLICATIONS

Section 2.1 Linear functions and constant rates of change

Section 2.2 Average rates of change

Section 2.3 Tangent lines, rates of change, and derivatives

Section 2.4 Derivatives of power functions and linear combinations

Section 2.5 Derivatives as functions and estimating derivatives

Section 2.6 Derivatives of products and quotients

Section 2.7 Derivatives of powers of functions

Section 2.8 Linear approximations and differentials

Section 2.R Review exercises

CHAPTER 6 INTEGRALS AND APPLICATIONS

Section 6.1 Step function rates of change

Section 6.2 The definite integral

Section 6.3 The Fundamental Theorem, Part I

Section 6.4 The Fundamental Theorem, Part II

Section 6.5 Integrals of powers and indefinite integrals

Section 6.6 Estimating definite integrals

Section 6.7 Integrals involving transcendental functions

Section 6.8 Integration by substitution

Section 6.R Review exercises

CHAPTER 14 PARTIAL DERIVATIVES

Section 14.1 Functions of two variables

Section 14.2 Horizontal cross sections of graphs and level curves

Section 14.3 Partial derivatives with two variables

Section 14.4 Chain Rules with two variables

Section 14.5 Directional derivatives and gradient vactors

Section 14.6 Tangent planes and differentials

Section 14.7 Functions of three variables

Section 14.8 Functions of more than three variables

Section 14.R Review exercises

Teaching

Math 10A, Summer 2007

Math 20B, Summer 2007