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\centerline{Mathematics 371 -- Numerical Analysis}
\centerline{Information on Schedule, Final Presentations}
\centerline{\it November 14, 2001}
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{\it Schedule to End of Semester}
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We are exactly on schedule in our syllabus, and we will 
not need the ``spare day'' I built into the schedule on November 
16.  Hence we will start into Chapter 5  of the text (numerical 
methods for ODE initial value problems) that day, and cover
the material from sections 5.1, 5.2, and 5.4 as follows:
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\item{} November 16:  ODE Initial Value Problems, Euler's Method (5.1,5.2)
\item{} November 19:  Begin Runge-Kutta Methods (5.4)
\item{} November 26:  Runge-Kutta, continued
\item{} November 28:  CEF's, Runge-Kutta, concluded
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This material will be covered on the Final Problem Set; I will 
not be giving a problem set or lab on it before then, however,
because I want to give you time to be working on your 
in-class presentations.
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{\it Information on Presentations}
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Recall that in the syllabus for the course, I mentioned that
one of the assignments would be an
in-class presentation on an assigned topic.
These will be scheduled for the last two class meetings, November 30 
and December 3.  The presentations will be given by teams of 2;
you should divide up what you want to say so that each team member
speaks for 20-25 minutes.  Leave about 5 minutes at the end for
questions.  I will be happy to work with you as you prepare, 
listen to an run-through, etc.

The topics and pair assignments will be as follows:
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\item{$\bullet$}Group 1:  Dan and Quan -- November 30 -- Topic: Runge-Kutta-Fehlberg
(Section 5.5).  Your presentation should explain the idea behind the 
method, and present a worked-out example like one of the parts of 
problem 1 in Section 5.5.  There is an implementation of the RKF 4th-5th
order method presented in the book in Maple, and you should use that
for your computations and explain how it is used as part of your
presentation.
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\item{$\bullet$}Group 2: Catherine and Maura -- December 3 -- Topic:
The Adams-Bashforth Multistep Methods (Section 5.6).  Note: there
 is a lot of other stuff in that section, but you will be only 
 concerned with the Adams-Bashforth methods.  Give the general idea, 
 do the derivation of the 3-step explicit method (equation 5.33), 
 and work out an example like one of the parts of problem 1 in Section
 5.6.
\bye
 
 