Matthew L. Wright
Assistant Professor, St. Olaf College

Partial Differential Equations

Math 330 ⋅ Fall 2017

Jump to today
Thursday
Sep. 7
Introduction
Heat equation
Do the following before next class:
  • Complete the Syllabus Quiz.
  • Read §1.1 through §1.4 in the textbook. Be sure you understand the derivations of Equations (1.2.4), (1.2.5), (1.2.9), and (1.2.10).
  • Begin Homework 1.
Tuesday
Sep. 12
Heat equation: equilibrium solutions
Do the following before next class:
  • Read §1.5. Note similarities between the derivation of the heat equation in one dimension and in multiple dimensions.
  • Finish Homework 1 (due 4pm Thursday).
Thursday
Sep. 14
Multidimensional heat equation
Homework 1
due today
Do the following before next class:
  • Finish deriving Laplace's equation in polar coordinates (solution in the notes from Thursday).
  • Read §2.1 and §2.2. Come to class knowing the definition of a linear operator and the principle of superposition.
  • Begin Homework 2.
Tuesday
Sep. 19
Separation of variables
Do the following before next class:
  • Read §2.3. This is a long section, but the the first half (or so) should be somewhat familiar from class. Note what it means for functions to be orthogonal. Also note how infinite series are used in the solutions toward the end of this section.
  • Finish Homework 2 (due 4pm Thursday).
Thursday
Sep. 21
Orthogonality and initial conditions
Homework 2
due today
Do the following before next class:
  • Read the §2.3 Appendix (pages 54–55). Also read §2.4, and make sure you understand the two examples in this section.
  • Begin Homework 3.
Tuesday
Sep. 26
Laplace's equation
Do the following before next class:
  • TBA...
Thursday
Sep. 28
Fourier series
Homework 3
due today
Do the following before next class:
  • TBA...
Tuesday
Oct. 3
Fourier differentiation and integration
Do the following before next class:
  • TBA...
Thursday
Oct. 5
Eigenfunction expansion
Do the following before next class:
  • TBA...
Tuesday
Oct. 10
Wave equation
Do the following before next class:
  • TBA...
Thursday
Oct. 12
Vibrating strings and membranes
Fall break! No class Tuesday, October 17.
Do the following before next class:
  • TBA...
Thursday
Oct. 19
TBA...
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  • TBA...
Tuesday
Oct. 24
TBA...
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  • TBA...
Thursday
Oct. 26
TBA...
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  • TBA...
Tuesday
Oct. 31
TBA...
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  • TBA...
Thursday
Nov. 2
TBA...
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  • TBA...
Tuesday
Nov. 7
TBA...
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  • TBA...
Thursday
Nov. 9
TBA...
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  • TBA...
Tuesday
Nov. 14
TBA...
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  • TBA...
Thursday
Nov. 16
TBA...
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  • TBA...
Tuesday
Nov. 21
TBA...
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  • TBA...
Thanksgiving break! No class Thursday, Nov. 23
Do the following before next class:
  • TBA...
Tuesday
Nov. 28
TBA...
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  • TBA...
Thursday
Nov. 30
Work on projects
Do the following before next class:
  • TBA...
Tuesday
Dec. 5
Work on projects
Do the following before next class:
  • TBA...
Thursday
Dec. 7
Work on projects
Do the following before next class:
  • TBA...
Tuesday
Dec. 12
Work on projects
Finish projects
Tuesday
Dec. 19
Project presentations
9:00 – 11:00am