MATH 257:201 Partial Differential Equations. UBC course page here

WebCT Vista webpage: https://www.vista.ubc.ca

• Introduction to Partial Differential Equations: Lecture 1
• Preliminaries: Lecture 2 , Lecture 3
• Series Solutions of Differential Equations: Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8&9
• Introduction to Computation Using Spreadsheets: Lecture 17, Lecture 18, Powerpoint
• Fourier Series and Separation of Variables: Lecture 10, Lecture 11, Lecture 12
  • Fourier Series: Lecture 13, Lecture 14, Lecture 15, Lecture 16
  • Heat Equation: Lecture 19, Lecture 20, Lecture 21, Lecture 22
  • Wave Equation: Lecture 23, Lecture 24, Lecture 25
  • Laplace's Equation: Lecture 26, Lecture 27, Lecture 28, Lecture 29, Lecture 30
• Boundary Value Problems and Sturm-Liouville Theory: Lecture 31, Lecture 32, Lecture 33, (Lecture 34 Theory)

• Short note on Radius of Convergence
• Finite difference schemes: some notes, some slides.
• Spreadsheet computations: 
• • Obtaining a spread sheet
  • Basic Excel tutorial, Basic Calc tutorial
  • Using Excel to evaluate a Fourier series
  • -- a few samples: Fourier series (triangular pulse),   Fourier series (square pulse)
  • ---Empty spreadsheet: Fourier series (square pulse)
  • Using Excel to solve the heat equation by finite differences
  • Comparing the finite difference solution of the heat equation with the Fourier series solution
  • Using Excel to solve the wave equation - including how to construct a slider