MATH 535 Download Page

• Textbook:
• Haberman, Richard. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 5th ed. New York: Pearson, 2012.
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• Suggestion Box

• Course Syllabus (size: 117K)
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• Honors Writing Assignment (size: 70K)
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• Handouts

• Fourier Series (size: 179K)

  Sine and Cosine Series (size: 230K) revised version posted 2/23/15

  Classification (size: 127K)

  Standing Waves

  Handout (size: 144K)

  Mathematical Animation

  Mathematica Notebook (size: 5K)

  Standing Wave Video 1

  Standing Wave Video 2

  Reflected Wave Video 1

  Reflected Wave Video 2

  Bessel Functions (size: 127K)

  Separation of Variables Chart (size: 115K) revised version posted 4/28/15

  Legendre Polynomials (size: 169K) revised version posted 4/20/15

  The Error Function (size: 177K)

  Fourier and Laplace Series (size: 137K)

  Similarity Variables (size: 133K)

  The Stefan Problem (size: 125K)

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• Homework Sets

  Homework Set 1 (size: 120K) revised version posted 2/16/15

  Review material.

  Homework Set 2 (size: 105K) revised version posted 2/24/15

  The heat equation, separation of variables, general Fourier series (sections 1.1, 1.2, 2.1-2.3, 2.5).

  Homework Set 3 (size: 110K)

  Trigonometric Fourier series, sine and cosine series (sections 3.1-3.4).

  Homework Set 4 (size: 122K) revised version posted 3/13/15

  Fourier series for the heat equation, maximum principle, classification (sections 1.3, 1.4, 8.1-8.3).

  Homework Set 5 (size: 107K)

  The wave equation (sections 4.1, 4.2, 4.4, 4.5, 7.3, 12.3.1, 12.5).

  Homework Set 6 (size: 116K)

  Polar coordinates, Sturm-Liouville theory, Bessel functions (sections 5.3, 5.5, 7.7).

  Homework Set 7 (size: 125K) revised version posted 4/28/15

  Laplace’s equation, Poisson integral formula, spherical harmonics (sections 1.5, 2.5.1, 2.5.2, 2.5.4, 7.10.1-7.10.3).

  Homework Set 8 (size: 121K) revised version posted 5/5/15

  Spherical harmonics, Legendre polynomials, Laplace transform review (sections 7.10.1-7.10.3, 7.10.5, 7.10.6, 13.1, 13.2).

  Homework Set 9 (size: 115K) revised version posted 5/8/15

  Laplace and Fourier transforms (sections 10.3, 10.4).

  Supplemental Study Material (size: 130K)

  Sine and cosine transforms, (semi-)infinite domains, similarity solutions (sections 10.5, 12.3.2, 12.3.3, 12.4).

Return to the syllabi download page.