San Antonio, Texas

Spring 2014 - Partial Differential Equations

Lecture Handouts & Slides

DateDescription
1/16 Handout:  Syllabus
1/16 Lecture:  Introduction to PDEs
1/21 Lecture:  Solving first order PDEs
1/23 Maple worksheet:*  General solution of the wave equation
1/28 Lecture:  The vibrating string
Maple worksheet:*  Surfaces created by vibrating strings
Maple worksheet:*  d'Alembert solution visualizer
1/30 Lecture:  The principle of superposition
2/4 Lecture:  Fourier series
2/6 Lecture:  Fourier coefficients
Maple worksheet:*  Convergence of Fourier series
2/11 Lecture:  More on Fourier series
2/18 Lecture:  The 1-D wave equation revisited
2/20 Maple worksheet:*  Normal modes of the 1-D wave equation
2/25 Lecture:  The 1-D heat equation
Maple worksheet:*  1-D heat examples:  Dirichlet boundary conditions
2/27 Lecture:  The 1-D heat equation:  Neumann and Robin conditions
Maple worksheet:*  1-D heat examples:  Neumann boundary conditions
Maple worksheet:*  1-D heat examples:  Robin boundary conditions
3/4 Lecture:  The 2-D wave equation:  rectangular membranes
Maple worksheet:*  2-D wave examples:  rectanguar membranes
3/6 Lecture:  The 2-D heat equation:  rectangular plates
3/18 Lecture:  The Dirichlet problem on a rectangle
3/20 Lecture:  The Laplacian in a polar coordinates
3/25 Lecture:  Introduction to Bessel functions
4/3 Lecture:  The wave equation on a disk
Maple worksheet:*  2-D wave examples:  circular membranes
4/8 Lecture:  More on circular membranes
Maple worksheet:*  2-D wave examples:  more circular membranes
Lecture:  Weighted inner products and Sturm-Liouville equations
4/10 Lecture:  Introduction to Sturm-Liouville theory
4/15 Lecture:  More on Sturm-Liouville theory
Maple worksheet:*  Sturm-Liouville example:  the hanging chain
Maple worksheet:*  Sturm-Liouville example:  the (rotationally
symmetric) Dirichlet problem on a sphere
4/17 Lecture:  The Fourier transform
4/22 Lecture:  The Fourier transform method

*To use any of the Maple worksheets above, first download it (right click and "Save Link As...") and then open it, using a computer on which Maple has already been installed.  Maple is widely available across the campus, but if you'd like to have it installed on a particular University-owned machine, let me know and I'll see what can be done.

Back

Questions and comments concerning this page are to be addressed to rdaileda at trinity dot edu.