Table of Contents
APEX Calculus
Contributing Authors
Preface
Calculus I
Calculus II
Calculus III
11
Vectors
12
Vector Valued Functions
13
Functions of Several Variables
13.1
Introduction to Multivariable Functions
13.2
Limits and Continuity of Multivariable Functions
13.3
Partial Derivatives
13.4
Differentiability and the Total Differential
13.5
The Multivariable Chain Rule
13.6
Directional Derivatives
13.7
Tangent Lines, Normal Lines, and Tangent Planes
13.8
Extreme Values
13.9
Lagrange Multipliers
14
Multiple Integration
15
Vector Analysis
Appendices
Calculus III
12.5
The Arc Length Parameter and Curvature
Chapter Introduction
Chapter 13
Functions of Several Variables
Chapter Introduction
13.1
Introduction to Multivariable Functions
13.2
Limits and Continuity of Multivariable Functions
13.3
Partial Derivatives
13.4
Differentiability and the Total Differential
13.5
The Multivariable Chain Rule
13.6
Directional Derivatives
13.7
Tangent Lines, Normal Lines, and Tangent Planes
13.8
Extreme Values
13.9
Lagrange Multipliers
