Mathematics 617 Download Page (Spring 2001)

• 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

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• Course Syllabus (size: 11K) revised version posted 2/7/01


• Handouts
Envelopes and Shocks (size: 50K)
Standing Waves (size: 32K)
Frobenius Series Review (size: 35K)
Bessel Functions (size: 38K)
Legendre Polynomials (size: 32K)
Bifurcation Theory (size: 91K)
The Elastica (size: 28K)
Blasius Flow (size: 22K)

 
• Bifurcation Maple Worksheet (size: 3K)


• Homework Sets

Homework Set 1 (size: 29K), Solution Set (size: 331K)

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

Homework Set 2 (size: 31K) revised version posted 2/19/01, Solution Set (size: 211K)

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

Homework Set 3 (size: 32K) revised version posted 2/22/01, Solution Set (size: 63K)

Shocks, classification of second-order PDEs, the wave equation (sections G1-2, G1-6, G2-6, G4-1, G12-3, L4.1, L6.3, W1-W3, W8, W9).

Homework Set 4 (size: 37K ), Solution Set (size: 68K )

Series solutions for the wave equation, Bessel functions (sections G4-2, G4-3, G10-1, G10-2, L4.4, L6.3, W14, W26, W39, W40).

Homework Set 5 (size: 41K), Solution Set (size: 60K)

Bessel functions, Laplace's equation, Poisson's Integral Formula (sections G8-1-G8-4, G10-2, L4.3, L4.4, W10-W12, W24, W41).

Homework Set 6 (size: 39K) revised version posted 4/2/01, Solution Set (size: 69K )

Laplace's equation in spherical coordinates, the Stefan problem, generalized Green's functions, non-self-adjoint problems (sections G8-1, 8-2, G12-4, G12-5, L4.3, L4.4, L5.2, L5.3, W28, W43, W44).

Homework Set 7 (size: 40K) revised version posted 4/9/01, Solution Set (size: 110K)

Generalized eigenfunction expansions, bifurcation theory (sections L4.4, L7.1, L7.2, W36, W38).

Homework Set 8 (size: 34K), Solution Set (size: 63K)

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

Homework Set 9 (size: 24K ) revised version posted 4/24/01, Solution Set (size: 52K )

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

Homework Set 10 (size: 40K) revised version posted 5/1/01, Solution Set (size: 60K )

The Rayleigh quotient, conservation of mass (sections G12-1, L6.2, L6.5, W36, W38).

Homework Set 11 (size: 63K) revised version posted 5/15/01, Solution Set (size: 90K)

Conservation of momentum; unidirectional, lubrication, and nearly inviscid flows (section G12-1).

Supplemental Study Material (size: 27K), Solution Set (size: 44K)

Fredholm integral equations (sections L5.1, G7.5, G7.7-7.9).

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