Table of Contents

(old version)

Introduction

Warmup
Representations of Multivariable Functions

Multiple Integrals

Review of Single Variable Integration
Double Integrals
Polar and Curvilinear Coordinates

Partial Derivatives I

Review of Differentiation
Differentials and Derivatives
Partial Derivatives
Chain Rule

Vectors I

Introduction
Dot Product

Partial Derivatives II

Gradient and Directional Derivatives
Optimization

Vectors II

Applications

Extra