Mathematics 535 Download Page (Spring 2013)

• Textbooks:
• Colton, David. Partial Differential Equations: An Introduction. New York: Dover, 2004.
• Haberman, Richard. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 5th ed. New York: Pearson, 2012.
 
• 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.

• Course Syllabus (size: 117K) revised version posted 2/5/13
  


• Handouts

Fourier Series (size: 176K)

Sine and Cosine Series (size: 150K)

The Error Function (size: 174K)

Fourier and Laplace Series (size: 134K)

Classification (size: 124K)

Standing Waves (size: 142K)

Corrections to April 4 Lecture (size: 111K)

Bessel Functions (size: 136K) revised version posted 4/18/13


Legendre Polynomials (size: 169K) revised version posted 4/18/13

Separation of Variables Chart (size: 114K)

Envelopes (size: 139K) revised version posted 5/2/13


Shocks (size: 133K)

The Stefan Problem (size: unknown, not yet posted)




Homework Sets

Homework Set 1 (size: 164K)

Review material, the heat equation (sections H1.1, H1.2).


Homework Set 2 (size: 114K)

Separation of variables, Fourier series (sections C1.4, C3.2, H2.1-2.3, H3.1, H3.2, H3.4).

Homework Set 3 (size: 122K) revised version posted 2/26/13


Sine and cosine series, Fourier series for the heat equation (sections C1.4, C3.1, H1.3, H1.4, H3.3, H8.1-8.3).

Homework Set 4 (size: 112K) revised version posted 3/4/13

Laplace transforms (sections H13.1, H13.2).

Homework Set 5 (size: 121K)

Fourier transforms (sections C3.3, H10.3-10.5).

Homework Set 6 (size: 94K) revised version posted 4/2/13

Classification of PDEs, derivation of the wave equation (sections C1.3, C2.1, H4.1, H4.2, H12.3.1, H12.3.2).

Homework Set 7 (size: 106K) revised version posted 4/8/13

Solutions of the wave equation (sections C2.1, C2.4, C2.5, H4.4, H4.5, H7.1-7.3, H7.7.1, H7.7.2, H12.3.3-12.5).


Homework Set 8 (size: 105K)

Sturm-Liouville theory, Bessel functions, Laplace's equation (sections C2.5, C4.2, C6.2, H2.5.4, H5.3, H5.5, H7.7.3-7.7.9).

Homework Set 9 (size: 115K)

Poisson's integral formula, spherical harmonics, linear first-order equations (sections C1.2, C4.4, H7.10, H12.2.2, H12.6.1, H12.6.2).

Homework Set 10 (size: 83K)

Linear and nonlinear first-order equations (sections H12.6.3-12.6.5).


Supplemental Study Material (size: 107K)

Shocks, the Stefan problem (sections C3.6, H12.6.4, H12.6.5).

Return to the Download Home Page.

Return to the David A. Edwards Home Page.

Page last modified on .