Mathematics 617 Download Page (Spring 2000)

• Textbooks:

 

Required:

• Guenther, Ronald B., and Lee, John W. Partial Differential Equations of Mathematical Physics and Integral Equations. New York: Dover, 1996.
• Logan, J. David. Applied Mathematics, 2nd ed. New York: Wiley, 1996.

 

Recommended:

• Weinberger, Hans F. A First Course in Partial Differential Equations With Complex Variables and Transform Methods. New York: Dover, 1995.

 
• Suggestion Box

Postings are in PDF format. In order to read PDF files, you need Adobe Acrobat Reader, which you can download for free.  Please if you have any other problems downloading these files.  (IMPORTANT: Make sure you have version 4.0 or later.)

• Course Syllabus (size: 117K)


• Handouts
Envelopes and Shocks (size: 50K)
Standing Waves (size: 32K)
Frobenius Series Review (size: 35K)
Bessel Functions (size: 38K)
Legendre Polynomials (size: 32K) revised version posted March 15
Bifurcation Theory (size: 114K)
The Elastica (size: 29K)
Blasius Flow (size: 22K)


• Bifurcation Maple Worksheet (size: 4K)
  
 
• Homework Sets

Homework Set 1 (size: 32K), Solution Set (size: 264K)

Linear first-order PDEs (section L6.1).

Homework Set 2 (size: 36K) revised version posted February 23, Solution Set (size: 67K)

Quasilinear first-order PDEs (sections G12-2, G12-3, L6.1).

Homework Set 3 (size: 28K), Solution Set (size: 58K)

Classification of second-order PDEs, the wave equation (sections G1-2, 1-6, 2-6, 4-1, L4.1, L6.3, W1-W4, W8, W9).

Homework Set 4 (size: 34K) revised version posted March 3, Solution Set (size: 54K)

Series solutions for the wave equation, Bessel functions (sections G4-2, G4-3, G10-1, G10-2, L4.4, W14, W39, W40).

Homework Set 5 (size: 39K), Solution Set (size: 67K)

Bessel functions, Laplace's equation (sections G1-3, G8-1, G8-4, L4.3, L4.4, W10-W12, W41).

Homework Set 6 (size: 42K) revised version posted March 16, Solution Set (size: 75K)

Laplace's equation in polar and spherical coordinates, the Stefan problem (sections G8-2, G12-4, G12-5, L4.3, L4.4, W24, W43, W44).

Homework Set 7 (size: 34K) revised version posted April 13, Solution Set (size: 89K)

Generalized Green's functions and eigenfunction expansions, bifurcation theory (sections L4.4, L5.2, L5.3, L7.1, L7.2, W28, W36, W38).

Homework Set 8 (size: 36K), Solution Set (size: 56K)

Epidemics and traveling waves (sections L6.1, L7.1-L7.3).

Homework Set 9 (size: 90K) revised version posted April 26, Solution Set (size: 117K)

Variational principles (sections G11-1, L3.1-L3.4, L3.6).

Homework Set 10 (size: 45K) revised version posted May 1, Solution Set (size: 65K)

The Rayleigh quotient, the Navier-Stokes equations (sections G12-1, L6.2, L6.5, W36, W38).

Homework Set 11 (size: 57K) revised version posted May 16, Solution Set (size: 78K)

Unidirectional, lubrication, and nearly inviscid flows, nonlinear diffusion (sections G12-1, L6.5).

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