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MATH/CS 375 \\
Introduction to Numerical Computing \\
MWF 10-10:50,  Wood G157 \\   
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Instructor: E. Coutsias \\
Office Hours: T-Th, 9:15-10:00; 12-12:30; Other times by 
appointment.  \\
Office: 432 Humanities \\
Phone: 277-3310 \\
Email: vageli@math.unm.edu
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Text: Shampine, Allen and Pruess, {\em Fundamentals of Numerical Computing} 
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Grading 
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\begin{itemize}  
\item Computing Assignments (5), 75\% \\
Tentative assign-due dates: 1/31-2/10, 2/21-3/3, 3/14-3/31, 4/4-4/14,
4/18-4/28.
\item Final examination, at the scheduled time, 25\% .
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Tentative Course Outline 
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\begin{itemize} 
\item Weeks 1-2, Basic Ideas of Real Number Computation - Errors and 
Conditioning, Ch. 1.
\item Weeks 3-5, Matrix Algebra and Analysis, Gaussian Elimination,
LU Factorization, Banded Systems; Ch. 2 .
\item Weeks 6-8, Polynomial Interpolation , Error Analysis, Divided
Difference Algorithm, Piecewise Polynomial Interpolation; Ch. 3 .
\item Weeks 9-10, Solution of Nonlinear Equations, Newton's Method, Secant
Method; Ch. 4.
\item Weeks 10-12, Integration, Adaptive Methods; Ch. 5.
\item Weeks 13-15, Ordinary Differential Equations - Initial Value Problems; 
Ch. 6 .
\end{itemize} 

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{\bf Comments}: 
The purpose of this course is two-fold; to learn to intelligently
use computational methods to solve the basic problems of applied mathematics,
and to learn something about the design and analysis of these methods.
Programs from the text are available in Fortran, C, C++ and Matlab.
Use anonymous ftp to ftp.wiley.com and look at public/college/math/sapcodes
and then the language of interest.
You may write your programs in these languages or in Maple or Mathematica.
Maple, Mathematica and Matlab are particularly convenient becaues of the
ease of integrating graphics and text with your programs. On CIRT machines,
MATLAB is available on Pegasus while Mathematica and Maple are available
on all AIX Servers. (Type `info hosts' for a lists of these.) 
The computing assignments will generally have some theoretical components,
which along with the homework problems in the text will serve as a model
for the problems you will be given on the final.

{\bf Late Policy}: 
Assignments are due by the end of class on their due date. Late 
assignments will be
graded at 80\% credit if received by the end of the next 
class; 60\% if received by the end of the following class, and not 
accepted more than two classes late.


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