Mathematics 617 Download Page (Spring 2007)

As of October 20, 2009, large sections of this site are offline.

• 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, 3rd ed. New York: Wiley, 2006.
 

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: 112K) revised version posted 2/8/07
  


• Handouts
Envelopes and Shocks (size: 56K)
Standing Waves (size: 40K)
Frobenius Series Review (size: 44K)
Bessel Functions (size: 48K)
Legendre Polynomials (size: 40K)
The Stefan Problem (size: 40K)




Bifurcation Theory (size: 164K) revised version posted 4/12/07
The Elastica (size: 40K)




Fisher's Equation (size: 236K)




Blasius Flow (size: unknown, not yet posted)

 
• Bifurcation Maple Worksheet (size: 36K)


• Homework Sets

Homework Set 1 (size: 24K), Solution Set (size: 52K) revised version posted 2/19/07

Fredholm integral equations (sections L4.3, G7.5-7.9).


Homework Set 2 (size: 24K), Solution Set (size: 212K)

Linear first-order PDEs (sections L6.1, L7.1).

Homework Set 3 (size: 28K), Solution Set (size: 57K)

Quasilinear first-order PDEs and shocks (sections G12-2, G12-3, L6.1, L7.1-7.3).

Homework Set 4 (size: 24K), Solution Set (size: 48K)

Classification of second-order PDEs, the wave equation (sections G1-2, G1-6, G2-6, G4-1, G12-3, L7.4, W1-W3, W8, W9).

Homework Set 5 (size: 56K) revised version posted 3/10/07, Solution Set (size: 81K)

Series solutions for the wave equation, Bessel functions (sections G4-2, G4-3, G10-1, G10-2, L7.4, W1-5, W37, W40, W41).

Homework Set 6 (size: 30K), Solution Set (size: 52K)

Laplace's equation, Poisson's Integral Formula, spherical harmonics (sections G8-1, G8-2, G8-4, L6.3, W10-W12, W23, W24, W43, W44).

Homework Set 7 (size: 28K), Solution Set (size: 74K)

The Stefan problem, generalized Green's functions, non-self-adjoint problems (sections G12-5, L4.4, W28, W36, W38).

Homework Set 8 (size: 28K), Solution Set (size: 80K)

Bifurcation theory (section L1.3).

Homework Set 9 (size: 28K), Solution Set (size: 45K)

Epidemics and traveling waves (section L7.2).

Homework Set 10 (size: 84K), Solution Set (size: 104K)

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


Homework Set 11 (size: 60K) revised version posted 5/11/07, Solution Set (size: size: 92K)

The Rayleigh quotient, the Navier-Stokes equations, unidirectional flows (sections G7-8, G12-1, L8.3, W36, W38).

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