Table of Contents

Introduction

Warmup
Representations of Multivariable Functions

Review

Review of Single Variable Integration
Review of Differentiation Rules

Multiple Integrals

Double Integrals
Polar and Curvilinear Coordinates

Partial Derivatives I

Differentials and Derivatives
Chain Rule

Vectors I

Introduction
Dot Product

Partial Derivatives II

Gradient and Directional Derivatives
Optimization

Vectors II

Applications

Extra