Matthew L. Wright
Associate Professor, St. Olaf College

# Partial Differential Equations

## Math 330 ⋅ Fall 2023

Top
Today
Bottom
Thursday
September 7
Introduction and ODE review
Do the following before next class:
Tuesday
September 12
Uniform transport equation

Bonus video: Paths to Math: John Urschel

Do the following before next class:
Thursday
September 14
Nonuniform transport equation
Homework 1
due today
Do the following before next class:
• Read Section 2.4 in the text. There is a lot in this section, but focus on grasping the big ideas. Complete the Reading Questions and bring them to class on Tuesday.
• Begin Homework 2, due next Thursday.
Tuesday
September 19
Wave equation: d'Alembert's solution

Bonus video: Eugenia Cheng on The Late Show

Do the following before next class:
Thursday
September 21
Finish d'Alembert's solution
Homework 2
due today
Do the following before next class:
Tuesday
September 26
Eigenvalues and Eigenfunctions
Do the following before next class:
Thursday
September 28
Fourier series
Homework 3
due today
Do the following before next class:
• Read pages 79–91 from Section 3.2 in the text. Complete the Reading Questions and bring them to class on Tuesday.
• Begin Homework 4, due next Thursday.
Tuesday
October 3
Fourier series

Bonus video: Moon Duchin: "Political Geometry" and DistrictR

Do the following before next class:
Thursday
October 5
Fourier series
Homework 4
due today
Do the following before next class:
• Read Pages 121–126 in the text. Complete the Reading Questions and bring them to class on Tuesday.
• Begin work on Tutorial 1 (the first midterm exam), which is due next Thursday.
Tuesday
October 10
Separation of variables: heat equation
Do the following before next class:
Thursday
October 12
Separation of variables: heat equation
Tutorial 1
due Friday
Fall break! No class Tuesday, October 17.
Do the following before next class:
• Review the separation of variables problems and solutions from class.
• Read Pages 126–132 in the text. Complete the Reading Questions and bring them to class on Thursday.
Thursday
October 19
Separation of variables: heat equation
Do the following before next class:
• Review the separation of variables problems and solutions from class.
• Read Pages 133–138 in the text. Complete the Reading Questions and bring them to class on Tuesday.
• Work on Homework 5, due next Thursday.
Tuesday
October 24
Separation of variables: wave equation
Do the following before next class:
• Review the wave equation problems and solutions from class.
• Read Pages 140–149 in the text. Complete the Reading Questions and bring them to class on Thursday.
• Finish Homework 5, due Thursday. You may want to use the Homework 5 LaTeX template on Overleaf.
• Optionally, revise Tutorial 1. Revisions are due Tuesday. If you have questions about how to revise, talk with the professor.
Thursday
October 26
Separation of variables: wave equation
Hyperbolic sine and cosine functions
Homework 5
due today
Do the following before next class:
• Review the problems and solutions from class.
• Read Pages 152–159 in the text. Complete the Reading Questions and bring them to class on Thursday.
• Begin Homework 6, due next Thursday.
• Optionally, revise Tutorial 1. Revisions are due Tuesday. If you have questions about how to revise, talk with the professor. You may submit your revisions to the Tutorial 1 assignment on Moodle.
Tuesday
October 31
Separation of variables: Laplace's equation
Tutorial 1
revisions due

Bonus video: Yitang Zhang: An Unlikely Math Star Rises

Do the following before next class:
Thursday
November 2
Introduction to finite differences
Homework 6
due today
Do the following before next class:
• Review the problems and solutions from class.
• Read Pages 182–188 in the text. Complete the Reading Questions and bring them to class on Tuesday.
• Begin Homework 7, due next Thursday.
Tuesday
November 7
Finite differences and the heat equation

Bonus video: MEET a Mathematician! - Trachette Jackson

Do the following before next class:
Thursday
November 9
Finite differences and the heat equation
Homework 7
due today
Do the following before next class:
Tuesday
November 14
Finite differences for first-order PDEs
Do the following before next class:
Thursday
November 16
Finite differences for the wave equation
Tutorial 2
due today
Do the following before next class:
• Read Section 5.4 in the text. There are no reading questions for Tuesday.
• Take a look at Homework 8, which is due on Nov. 30.
Tuesday
November 21
Generalized functions

Bonus: Susan D'Agostino book and interview

Thanksgiving break! No class Thursday, Nov. 23.
Do the following before next class:
• Read Section 6.1 in the text. There are no reading questions for next Tuesday.
• Begin work on Homework 8, which is due on Nov. 30.
Tuesday
November 28
Green's functions

Bonus video: Francis Su — Mathematics for Human Flourishing short version and long version

Do the following before next class:
• Read Section 6.2 in the text. Note the important properties of Green's functions. There are no reading questions for Thursday.
• Finish Homework 8, which is due on Thursday. You may want to use the Homework 8 LaTeX template on Overleaf.
• Optionally, revise Tutorial 2.
Thursday
November 30
Green's functions for the 2D Poisson equation
Homework 8
due today
Do the following before next class:
• Read as much (or as little) of Chapter 6 as you would like to read.
• Optionally, revise Tutorial 2.
• Continue planning your final project with your group. Prepare an outline of your paper. One person in your group should submit your outline to the Final Project assignment on Moodle.
• Browse two sample papers from past final projects: tumor growth and the Navier-Stokes equations (on Moodle).
Tuesday
December 5
Bessel's equation and final projects
Final project:
Outline of paper due
Do the following before next class:
• Work on your final project.
• Optionally, revise Tutorial 2.
Thursday
December 7
Final projects
Tutorial 2
revisions due
Work on your final project. A draft of your paper is due Tuesday.
Tuesday
December 12
Final projects
Finish your final project. Upload your final paper to Moodle. Prepare a 10–12 minute presentation that conveys the main points of your work.
Saturday
December 16
Project presentations
1:00 – 3:00pm