This page contains some links to pages with material relevant to the introductory partial differential equations course. You will also find links to Mathematica notebooks which you can download and modify for further exploration.

• Section 01 current semester syllabus
• Selected homework solutions
• Tests and solutions from this and possibly previous semesters.
• The MIT OpenCourseWare project has a link to a similar course in partial differential equations.
• The listing of semester project problems for 2008.
• A sample project presented in the form of a web page. A PDF file of the project is also available.
• Project presentations submitted by students.
• A brief review of solution techniques for Euler equations.
• An overview of the solution of Bessel's equation of order one.
• The Laplacian operator in polar and spherical coordinates.
• The nondimensional version of the heat equation.
• A derivation of the heat equation in three dimensions.
• Some brief notes on the orthogonality of the trigonometric functions and their use in Fourier Series.
• A solution to the initial boundary value problem for the heat equation. Notebook: HeatEqn01.nb.
• A solution to the heat equation for a rod with insulated ends. Notebook: HeatEqn02.nb.
• A solution to the heat equation on a circular ring. Notebook: HeatRing.nb.
• A solution to Laplace's equation on a rectangle. Notebook: HeatRectangle.nb.
• A solution to Laplace's equation on the unit disk. Notebook: LaplaceDisk.nb.
• Examples of Fourier series of some piecewise smooth functions. Notebook: FourierSeries.nb.
• Comparison of the Fourier series, Fourier Sine series, and Fourier Cosine series for a piecewise smooth function. Notebook: CosineSine.nb.
• An investigation of the Gibbs phenomenon. Notebook: Gibbs.nb.
• Fundamental modes of vibration for a string with fixed ends. Notebook: FixedEnds.nb.
• Examples of solutions to the wave equation. Notebook: WaveEqn01.nb.
• Solution of the wave equation using the method of d'Alembert.
• Miscellaneous examples of the wave equation with various initial conditions.
• Graphical approaches to estimating the eigenvalues of boundary value problems with boundary conditions of the third kind. Notebook: ThirdKind.nb.
• Two different approaches to solving the non-homogeneous heat equation with time-dependent boundary conditions. Notebook: Nonhomogeneous.nb.
• An example of the non-homogeneous two-dimensional wave equation with and without resonance. Notebook: 2DWaveEqn.nb.
• The wave equation with damping.
• Two more examples of the non-homogeneous wave equation with forcing terms and time dependent boundary conditions.