February 8
section covered in text
1.4. The Approximation Method of Euler
objective
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to be able to use Euler's method to make approximations
of solutions
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to be able to employ Euler's method with calculator
or computer
key ideas and/or vocabulary
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Euler's method
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algorithms
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step size
solved problems-using key ideas
using Euler's method to approximate solution to an intial value problem
at given points, #3
Euler vs. Runge-Kutta: compare with dy/dx = x2-y with
[0,2] x [0,3] window, tstep = .5
approsimate e with dy/dx = y, y(0) = 1 and different step sizes
Newton's Law of Cooling, #15
Stefan's Law of Radiation, #16
announcements
Homework: #2,6,10 (due 2/19)
download software by pointing to http://hepg.awl.com/AWHome/BookSite.qry?function=form
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QUESTION OF THE DAY
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| Find the partial derivative of z with respect
to x when xyz = cos(x + y + z). |
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SOLUTION
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SOLUTION.
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