Matthew L. Wright
Assistant Professor, St. Olaf College

Partial Differential Equations

Math 330 ⋅ Fall 2018

Prof. Wright's office hours: Mon. 1–2, Tues. 10–11, Wed. 2–3, Thurs 10–11, Fri. 1–2, whenever the door is open, or by appointment in RMS 405

Help sessions: Tuesdays 7–8pm in Tomson 186

Jump to today
Thursday
Sep. 6
Introduction
ODE review
Do the following before next class:
Tuesday
Sep. 11
Heat equation
Do the following before next class:
  • Read §1.3 and §1.4. Note three possible boundary conditions discussed in §1.3. Then note how the heat equation, with certain boundary conditions, can be solved for equilibrium solutions in §1.4.
  • Finish Homework 1 (due 4pm Thursday). You may want to use the LaTeX template on Overleaf.
Thursday
Sep. 13
Heat equation
Homework 1
due today
Do the following before next class:
Tuesday
Sep. 18
Multidimensional heat equation
Do the following before next class:
  • Read §2.1 and §2.2. Note the definition of a linear operator and the principle of superposition.
  • Finish Homework 2 (due 4pm Thursday).
Thursday
Sep. 20
Separation of variables
Homework 2
due today
Do the following before next class:
  • Read §2.3. This is a long section, but the the first half (or so) should be somewhat familiar from class. Answer the reading questions (TeX source), and bring your answer to class on Tuesday.
  • Begin Homework 3.
Tuesday
Sep. 25
Orthogonality and initial conditions
Do the following before next class:
Thursday
Sep. 27
Time-dependent solutions to the heat equation
Homework 3
due today
Do the following before next class:
Tuesday
Oct. 2
Laplace's equation and separation of variables
Do the following before next class:
Thursday
Oct. 4
Fourier series
Take-home exam assigned
Homework 4
due today
Do the following before next class:
Tuesday
Oct. 9
Fourier series and Eigenfunction expansion
Take-home exam
due today
Do the following before next class:
Thursday
Oct. 11
Eigenfunction expansion and integration
Fall break! No class Tuesday, October 16.
Do the following before next class:
Thursday
Oct. 18
Wave equation
Homework 5
due today
Do the following before next class:
Tuesday
Oct. 23
Wave equation
Intro to Sturm-Liouville problems
Do the following before next class:
Thursday
Oct. 25
Sturm-Liouville problems
Homework 6
due today
Do the following before next class:
Tuesday
Oct. 30
Sturm-Liouville problems
Operators, orthogonality, and self-adjointness
Do the following before next class:
Thursday
Nov. 1
Sturm-Liouville problems
Rayleigh quotient and eigenvalue bounds
Homework 7
due today
Do the following before next class:
Tuesday
Nov. 6
Finite difference methods
Do the following before next class:
Thursday
Nov. 8
Finite difference methods
Homework 8
due today
Do the following before next class:
Tuesday
Nov. 13
Finite difference methods
Do the following before next class:
Thursday
Nov. 15
Finite difference methods
Take-home exam assigned
Homework 9
due today
Do the following before next class:
Tuesday
Nov. 20
Higher-dimensional PDEs
Take-home exam
due today
Thanksgiving break! No class Thursday, Nov. 22
Begin working on your project.
Tuesday
Nov. 27
Work on projects
Work on your project. Identify sources, gather information, and make an outline for what you will include in your paper.
Thursday
Nov. 29
Work on projects
Work on your project.
Tuesday
Dec. 4
Work on projects
Work on your project.
Thursday
Dec. 6
Work on projects
Work on your project.
Tuesday
Dec. 11
Work on projects
Finish your project.
Upload your paper here, and prepare your presentation for tomorrow. Please complete the Final Project Evaluation (on Moodle).
Wednesday
Dec. 19
Project presentations
2:00 – 4:00pm