Math 3363

Introduction to Partial Differential Equations

 

Notes on Section 1.2

Equilibrium Heat Flow in One Space Dimension Example 1: Text Video Example 2:  Text

Notes on Section 2.1

 Some Examples of Expansions in Terms of an Orthogonal Sequence

Time Dependent Heat Flow in One Space Dimension Example 1: Text Video Example 2: Text Video

Laplace's Equation in a Rectangle Part 1: Text Video  Part 2: Text Video  Part 3: Text Video  

Part 4: Text Video  Part 5: Text Video

Laplace's Equation in a Rectangle Example 1: Text  Example 2: Text  Example 3: Text

Some Notes on Fourier Series: Text

Fourier Series Example 1: Video  Text

Integration By Parts:  Text

Even and Odd Functions:  Video  Text

Sine Series and Cosine Series:  Video  Text

The Gibbs Phenomenon:     Text

Fourier Series with Continuous Limits:     Text

The Wave Equation in One Space Dimension:   Introduction  Video 1   Text 1  Standing Waves

A Rectangular Eigen Problem  Text

The Heat Equation for a Rectangular Plate  Text

The Wave Equation for a Rectangular Membrane  Text

Some Nonhomogeneous PDE Problems Video  Text

First Order Linear Differential Equations  Text

The Laplacian in Polar Coordinates  Text

The Cauchy-Euler Differential Equation  Text  

Laplace's Equation in an Annulus Text  

Laplace's Equation in a Circular Disk Text

d'Alembert's Solution to the Wave Equation Text

 Some Examples Using d'Alembert's Solution   Text

 

Homework 1 Due January 21 at 2:30 p.m.  Solutions

Homework 2 Due February 4 at 2:30 p.m   Solutions

Review Questions for Exam I 

Homework 3 Due February 27 at 2:30 p.m  Solutions

Solutions for Exam I 

Solutions for Homework 4 

Solutions for Homework 5 

Review Questions for Exam II 

Solutions for Exam II 

Review Questions for the Final Exam 

Solutions for the Final Exam