Joseph M. Mahaffy
 Math 531: Partial Differential Equations Spring 2016 |  Course Index  |  Lectures  |  HW Assign  |  WeBWorK  |  Syllabus  |  Miscellaneous  ||  Home Lectures for Math 531 Introduction (4-Panel) - Maple Commands (Maple .mw) Additional Resources There is a Lab Manual (MATLAB and Maple) version, which will continue to be updated over the semester with detailed information for using MatLab and Maple on your written assignments. Matlab: A practical introduction to Matlab (HTML, PDF) MathWorks - Getting Started and Overview links Other Overviews - University of Dundee, Matlab Help Matlab GUI for differential equations: dfield and pplane. MatLab from Lectures Maple: Maple Workshop notes Maple from Lectures Maple Commands - Introduction (Maple .mw) Maple Phase Plots (Maple .mw) Lecture Note Supplements Chapter 2: Programming Supplement A class demonstration of Maple and MatLab is given for the one-dimensional heat equation. Links are provided to computer code for Maple (heat1d (PDF)) and MatLab (heatjm.m) for the Heat Equation in one-dimension. Chapter 3: Programming Supplement A class demonstration of a Fourier series is given. A link is provided for a MatLab M-file for this Fourier series. Chapter 5: Programming Supplement Finding eigenvalues for boundary conditions of the third kind . A link is provided for a Maple file to show how to numerically find eigenvalues of this transcendental equation. Chapter 7: Programming Supplement Visualizing vibrating rectangular membranes, we have a link for a Maple file (rect_memb.mws). Also, solutions to Bessel's differential equation are provided using Maple (bessel.mws) and a hyperlink to Maplesoft and others. Solutions to Legendre's differential equation are provided using Maple (legendre.mws). Below are some MatLab codes and pictures from PDEs provided by Ricardo Carretero. Matlab: A practical introduction to Matlab (HTML, PostScript) Matlab Help Maple: Lectures: Heat equation in 1D: heat.m. PDE integrator in 1D: PDE_integrator.m, wave_plotsurf.m. Normal modes of wave equation: vibrate.m Solutions to the linear wave equation: wave_eq.m. D'Alambert solutions to the linear wave equation: ugauss_utzero.m. Bessel modes: bessel_modes.m, besselzero.m. Vibrational modes of a circular membrane: membrane.mws Copyright © 2016 Joseph M. Mahaffy.