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Mathematics 617 Download Page (Spring 2013)

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Mathematics 617-010
Introduction to Applied Mathematics II
Spring 2013
Department of Mathematical Sciences
University of Delaware

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• 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

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Postings are in PDF format. In order to read PDF files, you need Adobe Acrobat Reader, which you can download for free.  Please let me knowif you have any other problems downloading these files.

• Course Syllabus (size: 131K) revised version posted 2/20/13
  
• Writing Assignment (size: 79K)

• Handouts
Envelopes (size: 128K)


Shocks (size: 130K)


Classification (size: 127K)


Standing Waves (size: 143K)
Frobenius Series Review (size: 133K)
Bessel Functions (size: 125K)
Legendre Polynomials (size: 159K)
The Stefan Problem (size: 125K)




Bifurcation Theory (size: 272K)
The Elastica (size: 128K)




Fisher's Equation (size: 321K)




 
• Bifurcation Maple Worksheet (size: 38K)


• Homework Sets

Homework Set 1 (size: 149K), Solution Set (size: 359K)

Fredholm integral equations, linear first-order PDEs (sections L4.3, L6.2, L7.1, G7.5, G7.7-7.9).


Homework Set 2 (size: 111K) revised version posted 2/25/13, Solution Set (size: 155K)

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

Homework Set 3 (size: 90K), Solution Set (size: 123K)

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

Homework Set 4 (size: 135K), Solution Set (size: 150K)

Series solutions for the wave equation (sections G1.6, G4.1-G4.3, G10.1, G10.2, L7.4, W2, W3, W14, W26, W41).

Homework Set 5 (size: 132K), Solution Set (size:143K)

Bessel functions, Laplace's equation, Poisson's Integral Formula, spherical harmonics (sections G8.1-G8.4, G10.1, G10.2, L6.3, L6.4, W10-W12, W24, W39, W40, W43, W44).

Homework Set 6 (size: 70K), Solution Set (size: 127K)

The Stefan problem, generalized Green's functions (sections G12.4, G12.5, L4.4, W28).

Homework Set 7 (size: 116K), Solution Set (size: 202K)

Non-self-adjoint problems, bifurcation theory (section L1.3, L4.1, L4.2, W36, W38).

Homework Set 8 (size: 100K) revised version posted 4/19/13, Solution Set (size: 172K)

Bifurcation theory, epidemics and traveling waves (sections L1.3, L1.4, L7.2).

Homework Set 9 (size: 99K), Solution Set (size: 125K)

Spatial epidemics, variational principles (sections G11-1, L3.1-L3.4, L7.2).

Homework Set 10 (size: 113K) revised version posted 5/3/13, Solution Set (size: 117K)

Variational principles, the Rayleigh quotient (sections G11-1, L3.6, W36, W38).


Supplemental Study Material (size: 165K), Solution Set (size: size: unknown, not yet posted)

The Navier-Stokes equations, the lubrication approximation (sections G12-1, L8.1, L8.3).

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