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Objective
To understand the technical
issues involved in numerical computing and to learn how to select
specific numerical algorithms for particular problems.
Course Material
Errors in computation, interpolation, numerical
differentiation and integration, initial value problems for ordinary
differential equations, algebraic systems of equations (direct and
iterative methods; linear and non-linear systems), approximation theory,
boundary value problems and solution of partial differential equations.
Course Format
The format of the class consists
of lectures, reading assignments and their discussion, weekly
homeworks, a term project for which regular updates must be
prepared and a final exam.
Reading Assignments
Weekly assignments from the
text
as indicated in
the
course outline .
Fulfillment of the weekly reading
assignments is mandatory.
Term Project
Students will produce a term paper on a topic
of their choice but directly related to the class. A two-page long
proposal is due on 10/7/99.
A finished final draft
report is due on 12/09/99. The preferred document format for all
written work in this class is html .
The final report is due on 12/16/99. For additional information
on the term project including a list of
suggested topics please
click here
Exam
One final exam on 12/16/99 .
Homework
Homework problems will be assigned weekly.
Electronic
answers (via e-mail and in html format) are due the
following week and will be graded.
Students unable to attend class must still submit their homework by
the deadline via e-mail since no homework
will be accepted past the deadline.
Please take note of the following standards concerning homework:
Include all your answers into a single file.
Write your name, the class name and the homework number at the beginning of the file.
Save the file as html (or at least as text - with line breaks -)
prior to sending it.
Save graphs and pictures as gif or jpg files prior to sending them.
Write in the RE line of your message: NAE - hw #
Please make sure to inspect the posted copy of your homework
and to report any problems.
Computer Laboratory
Your text contains the
minimum necessary software
for this class. However, more
sophisticated software is also readily available
to those wishing to beyond the text (see list of
software sources ).
Students can use the Sun network for all coursework in
this class. For information on login IDs and passwords
please send a message to
TIS.
To do the work on their own PC, two
additional pieces of software are required:
a compiler (Fortran, C or Pascal) and
a symbolic mathematical manipulator (Maple or Mathematica).
Students are expected to develop familiarity not only with basic
high level programming, but also with symbolic manipulation
software (Maple), electronic typesetting (Latex) and with
scientific graphing programs such as Gnuplot.
Grading
Grades will be assigned based on the following scale and criteria:
A : Outstanding
B : Good
C : Sufficient
D : Fail
I welcome inquiries about grades but you must make convincing arguments
about the correct place of your work on the above scale .
Please note that incomplete homeworks can not receive a grade of A.
The final grade will be calculated from the contributions of the three
graded components as follows:
Term Project: 30%
Exam: 30%
Homework and Reading Assignments: 40%
Code of Ethics
Ethical and professional conduct is expected from everyone. Violations
of this code such as academic dishonesty, misrepresentation and plagiarism
will not be tolerated. Failing grades will be assigned to any student
who is found to engage or participate in unethical behavior.
Office Hours
Open, but only by previously arranged appointment.
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