Partial Differential Equations

Spring 2021

Professor: Mark McClure

Handy Links

• Syllabus
• PDE Talk
• LaTeX Info: [PDF|Overleaf]

Demos

• One dimensional
  • Pluck
  • One dimensional heat explorer
  • One dimensional wave explorer
  • Fourier Series
  • Build your own Fourier sine series
  • Fourier Series-es with Mathematica
  • Numerical solution of 1D, linear BVPs
  • The method of lines
  • Unbounded heat flow
  • The Poisson Kernel
  • d'Alembert's formula
• Two dimensional
  • Illustrations of two-dimensional heat flow
  • Constructive solid geometry
  • Two dimensional heat explorer
  • Steady state, 2D heat explorer
  • Two Dimensional Eigenmodes
  • Rotationally symmetric vibration of a disk
  • Radial heat flow in a disk
  • Radial heat flow in a sphere
• Special functions with Mathematica

Handouts

• Writing assignment 0
• Writing assignment 1
• Quiz solutions

Class Notes

• Wednesday, January 20 - Wavy Intro:
  • Presentation
  • Homework
    We have one problem from today's class that should be completed as a response to this forum question. Use the menu below to generate your specific problem.
• Monday, March 22 - Eigenranking:
  • Presentation
  • Homework
    We have one problem from today's class that should be completed as a response to this forum question.