Math 181:
Applied Mathematics Seminar
Computational
Mathematics
E. Arthur Robinson, Jr., Professor of Mathematics
Department of Mathematics
Funger 428Q
2201 G St. NW
Washington DC 20052
(202) 994-6237
robinson@gwu.edu
Resources in Computational Mathematics:
Bibliography:
Books and articles on computational mathematics and related topics.
Web Links:
This is a long list of links relevant to computational mathematics including
links to various software, other similar courses, connections with other
disciplines.
Lectures and Labs:
-
Lecture: Introduction. (11/17/2001)
-
Lab1:
Basic Unix and HTML. Setting up a web site. See also my Unix/HTMLSurvival
Guide. (Due 1/24/2001)
-
Lecture2:
Remarks
on computational mathematics. (1/22/2001)
-
Lab 2 (1/24/2001: Due 1/31/2001
)
-
Lecture 3: Round off errors in numerical calculations. Methods
of quadrature: Trapezoid rule and simpson's rule (1/29/2001)
-
Lab
3: Programming MATLAB and implementing quadratures. (HTML:
1/31/2001:
Due 2/7/2001)
-
Lecture
4: Floating point arithmetic. (HTML: 2/5/2001)
-
Lab
4: Introduction to Maple. (MWS: 2/7/2001: Due
2/14/2001)
-
Lecture
5: Computer Algebra Systems. (HTML: 2/12/01). See also the links
page.
-
Lab
5: More on Maple. (MWS: 2/12/01, 2/14/01: Due
3/12/01)
-
Lecture
6: An introduction to TeX and LaTeX (2/26/01).
-
Lab
6: Working with LaTeX (2/28/01: Due 3/12/01).
-
(3/12/01)
LaTeX in the Lab is now working! Here is some practical
advice.
-
Lecture
7: A comparison of computing environments (3/5/01)
-
Lab
7: Performance Comparisons (3/7/01: Due
3/16/01)
-
Project
1: Installing and using new software (Due
3/26/01)
-
Lecture
8: Elements of Data Structures and Algorithms (3/12/01)
-
Lab
8: Experimenting with sorting algorithms (3/14/01: Due
4/2/01)
-
Lecture 9: Fourier transforms, the DFT and the FFT
(3/28/01)
-
Lab
9: The FFT (4/2/01: Due 4/16/01 (Do
one
of Lab 8 or 9)) Reference: Press, Teukolski, Vetterling &
Flannery Numerical Recipes in C (Section
12.2)
-
Lab
10: The wavelet transform (4/4/01: Due
4/16/01(Do one of Lab 8 or 9))
Reference: Press, Teukolski, Vetterling & Flannery Numerical
Recipes in C (Section
13.10)
-
Project
topic ideas
-
Lecture/Lab
11: Fractals (4/11/01, Please try these out, but I'm not collecting
anything).
Student Web sites:
Mike Donaldson
Galen Gregor
Adam Hartman
John Igrec
Kara Keener
Abagail Lawton
Shannon MacDonald
Stan Mintchev
Amy Nagahashi
Elmer Saslo