San Antonio, Texas

Spring 2017 - Partial Differential Equations

Lecture Handouts & Slides

DateDescription
1/12 Lecture:  Introduction to PDEs
1/19 Lecture:  Solving first order PDEs
1/24 Lecture:  The method of characteristics
Maple worksheet:*  Initial and characteristic curves
1/26 Lecture:  Introduction to the wave equation
Maple worksheet:*  Traveling wave solutions of the wave equation
1/31 Lecture:  Introduction to Fourier series
2/2 Lecture:  Formulas for Fourier coefficients
Maple worksheet:*  Convergence of Fourier series
2/7 Lecture:  More on Fourier series
2/9 Lecture:  Series solution of the 1-D wave equation
Maple worksheet:*  Normal modes of the 1-D wave equation
Maple worksheet:*  Series solutions of the 1-D wave equation
2/16 Lecture:  The 1-D heat equation, part 1
Maple worksheet:*  1-D heat examples
2/23 Lecture:  The 1-D heat equation, part 2
Maple worksheet:*  1-D heat examples
2/28 Lecture:  The 2-D wave equation
Maple worksheet:*  Rectangular 2-D wave examples
3/2 Lecture:  The 2-D heat equation
Maple worksheet:*  2-D heat example
3/9 Lecture:  The Laplacian in polar coordinates

*To use any Maple worksheet 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 campus, and through the virtual desktop client VMware available at vdi.trinity.edu.  If you'd like to have Maple installed on a particular University-owned machine, let me know and I'll look into it.

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