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Spring 2004

Linear Algebra and Differential Equations

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Math 21b Homework for Regular Sections

What follows are the homework assignments for the indicated week.

Unless stated below to the contrary, the assignment for any given week is due in your first scheduled section meeting of the subsequent week. In fact, there are two exceptions to this rule: In the case of the week prior to the spring break, the assignment is due in the first scheduled section meeting for the week after spring break. In the case of the final week of classes, May 3-7, the homework is due in your last scheduled section meeting of that same week.

The answers will be posted on the website on the Wednesday of the week that the problems are due except in the case of the final week of classes.

*The starred problems are suggested but not to be turned in.


Week 13: May 3-7

Handout 10.4; Laplace's equation and the wave equation
Key points: a) The Laplace equation
b) The Laplace equation as a linear transformation on a vector space of functions.
c) Solving the Laplace equation using Fourier transforms.
d) The wave equation
e) Why the wave equation has this name; fundamental solutions.
f) The wave equation as a linear transformation.
g) Solving the wave equation using Fourier transforms.
Homework: 1,3,4 from 10.4 in the handout and 26 from Chapter 5.5 in LA&A..

Handout 10.4; The Wave equation
Key points: a) Finish discussion from the previous lecture, then review
b) Lesson: Differential equations can be profitably viewed as infinite dimensional analogs of our Rn linear algebra.


URL: http://www.courses.fas.harvard.edu/~math21b/syllabus/
 
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