Mathematics 2160: Introduction to Scientific Computing
The objective of this class is to learn to use the computer as
a tool for thinking about and solving mathematics problems.
We will use the C programming language. The programming
notions will be discussed as they are needed in mathematical
The following mathematical topics will be covered:
There will be five assignments during the semester in regular
intervals. They will be posted on this web page. You will have
two weeks to do your solutions and e-mail them to me. Your
grade will be based on your work in solving these five
- summation of infinite series;
- elementary number theory (checking primality, factorization, Euclid's algorithm);
- finding zeros of functions (bisection method, Newton's method); numerical integration (Riemann sums, trapezoid method, Simpson's method);
- matrices and linear algebra (solving linear systems - Gauss elimination, finding inverses, calculation of determinants, Cramer's rule);
- various geometric problems (as illustrations of using structures and functions in C).
E-mail the solutions of your assignments to
email@example.com. The solutions should be plain text
files containing source code of your programs and your
explanation. Any format supported by the lab machines is
acceptable. If you use your home computer be sure that the
messages are not in some proprietary encoding which is
unreadable on unix systems in the lab. I'll refuse to accept
such solutions. If in doubt check with me in the lab.
Note to students who want to use their personal computers:
If you are using linux operating system, it comes with a C
compiler (GNU gcc), so you are ready to go.
If you are
using some flavor of Windows, I know of two C compiler
packages which are freely available on the internet: djgpp (a port of GNU gcc
to windows) and lcc. I
didn't install or use any of these since I do not use Windows,
hence you are on your own.
B.W. Kernighan, D.M. Ritchie, The C Programming Language, Prentice Hall, Second Edition, 1988.
- S. Oualline, Practical C Programming, O'Reilly & Associates, Inc.,Third Edition, 1997.
Syllabus and assignments:
- First Week Examples
- Second Week Examples
- Third Week Examples
- First Homework
- First Homework: Solutions
- Fourth Week Examples
- Fifth Week Examples
- Second Homework
- Second Homework: Solutions
- Sixth Week Examples
- Seventh Week Examples
- Eighth Week Examples
- Third Homework
- Third Homework: Solutions
- Ninth Week Examples
- Tenth Week Examples
- Eleventh Week Examples
- Fourth Homework
- Twelfth Week Examples
- Thirteenth Week Examples
- Fifth Homework
- Fourteenth Week Examples
Last edit by dm, April 18, 2008.