Day 31 in
Mat430
Last time
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Next time
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Today
:
Announcements
You have a problem set due today: pp. 323-, #6-8; pp. 328-, #1-4
Take-home portion of exams graded:
A fair amount of magic going on!
Don't forget to use both branches of square root (e.g.)
Derivatives of inverse functions....
Today's activity, and new assignment:
Fri
4/2
More Examples of conformal mappings
Read sections 36 and 37, pp. 111--.
Problems: pp. 370, #4, 5 (due Fri., 4/9)
Last time: Steady state temperature and conformal mapping:
Section 100: Steady State Temperature distributions
Section 101: An Example
Today: example of heat conduction
Section 102: A related problem
Let's think of one of our own... What's an easy temperature distribution to solve for?
How about a rectangular box with two opposing insulated sides, and constant values on the other sides?
How about a rectangular box insulated on all sides? (Really easy! -- where will it equilibrate?)
Now what transforms into a finite rectangular box, and what can a finite rectangular box turn into?
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Andy Long
. Comments appreciated.