MATH 535 Download Page

• Textbook:
• Haberman, Richard. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 5th ed. New York: Pearson, 2021.
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• Suggestion Box

• Course Syllabus (size: 148K)
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• References

Laplace Transforms and PDEs:

Texas Tech

Manitoba

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• Resources

Fourier Series (size: 202K)	Traveling Waves
Sine and Cosine Series (size: 264K)	Handout (size: 228K) revised version posted 4/24
Standing Waves	1-D Movie (size: 533K)
Handout (size: 196K)	2-D Movie (α=1, V=4) (size: 1.4M)
Mathematical Animation (size: 2M)	The Stefan Problem
Mathematica Notebook (size: 6K)	Handout (size: 209K)
Standing Wave Video 1	Movie (St=1) (size: 431K)
Standing Wave Video 2	First-Order Linear Equations
Reflected Wave Video 1	Handout (size: 182K)
Reflected Wave Video 2	Movie: Constant Speed (size: 372K)
The Laplace Transform (size: 230K) revised version posted 4/12	Movie: Exponential Speed (size: 311K)
The Error Function (size: 250K) revised version posted 4/8	Quasilinear Equations
Fourier and Laplace Series (size: 230K)	Handout (size: 220K)
Fourier Transforms (size: 265K) revised version posted 4/17	Movie (size: 260K)
Similarity Solutions (size: 202K) revised version posted 4/19	Envelopes
	Handout (size: 238K)
	Movie (size: 275K)

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• Homework Sets

  Homework Set 1 (size: 139K), Solution Set (size: 164K)

  Review material.

  Homework Set 2 (size: 114K), Solution Set (size: 131K)

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

  Homework Set 3 (size: 130K), Solution Set (size: 151K)

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

  Homework Set 4 (size: 151K) revised version posted 3/5, Solution Set (size: 153K)

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

  Homework Set 5 (size: 139K), Solution Set (size: 146K)

  Classification, the wave equation (sections 4.1, 4.2, 4.4, 4.5, 12.3-12.5).

  Homework Set 6 (size: 94K) revised version posted 3/22, Solution Set (size: 178K)

  Wave and Laplace’s equation (sections 2.5, 2.5.4, 7.1, 7.2.1, 7.3).

  Homework Set 7 (size: 146K) revised version posted 4/9, Solution Set (size: 151K)

  Laplace’s equation, Poisson integral formula, Laplace transforms (sections 2.5.1, 2.5.2, 13.1-13.3).

  Homework Set 8 (size: 125K) revised version posted 4/12, Solution Set (size: 140K)

  Laplace and Fourier transforms (sections 10.1, 10.3, 13.2).

  Homework Set 9 (size: 136K), Solution Set (size: 145K) revised version posted 5/1

  Fourier transforms, sine and cosine transforms (sections 10.3-10.5).

  Homework Set 10 (size: 140K) revised version posted 5/3, Solution Set (size: 139K)

  Similarity solutions, traveling waves, Stefan problem (sections 10.4.1, 14.7.3).

  Homework Set 11 (size: 113K), Solution Set (size: 145K)

  First-order linear and nonlinear equations (sections 12.1, 12.2, 12.6).

  Supplemental Study Material (size: 139K) revised version posted 5/16, Solution Set (size: 125K)

  Discontinuities (sections 12.6.4, 12.6.5).

Return to the syllabi download page.