Math 3363

Introduction to Partial Differential Equations

Spring  2020

Syllabus

UH CAPS Statement

 

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 

Homework 4 is due March 29 and is posted under ASSIGNMENTS on the CASA web site.

Solutions for Homework 4 

Homework 5 is due April 16 and is posted under ASSIGNMENTS on the CASA web site.

Solutions for Homework 5 

Review Questions for Exam II 

Solutions for Exam II 

Review Questions for the Final Exam 

Solutions for the Final Exam 

Notes on Section 1.2

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

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