Partial Differential Equations

Spring 2024

Professor: Mark McClure

Handy Links

• Syllabus
• Course calendar
• Discourse

Demos

• Wavy intro to PDE
• One-dimensional heat explorer
• The wave equation
• One-dimensional wave explorer
• The wave equation on R
• Examples of heat flow in two dimensions
• Constructive solid geometry
• Two dimensional heat explorer
• Steady state heat explorer
• The heat kernel
• A few couple series
• Fourier series
• Sturm-Liouville examples with Mathematica
• The polar Laplacian
  • Derivation
  • The heat equation
  • Radial heat flow
  • Rotationally invariant vibration
• Cooling of a sphere
• Finite differences
• The method of lines
• Solving Laplace's equation on a square
  • Via relaxation
  • With separation of variables
• Fourier's solution on Desmos

Handouts

• Review for Exam 1
• Sample for take home portion of quiz
• Review for Exam 2