This page outlines the topics covered in the course 21-372: Introduction to PDE. ?gautam will usually post '''brief''' notes on each lecture as the semester progresses. I encourage you to expand on these, fix mistakes and add topics you might find interesting.

# Contents

## Introduction

## Method of Characteristics

## A few model PDE's

## Boundary Conditions

## One Dimensional Wave Equation

## One Dimensional Heat Equation

## Duhamel's Principle

## Separation of Variables

## Fourier Series

## Harmonic Functions

## Greens Functions

## Fourier Transform

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