M515 - METHODS OF APPLIED MATH Fall 2009
Professor: Robert Decker
Office
Phone: 768-4677
Office: Dana 231
Office Hours: Tues:
11:00-12:00, 3:30-4:30, 6:30-7:30
Thurs: 11:00-12:00, 3:30-4:30
Email: rdecker@hartford.edu
Website: uhaweb.hartford.edu/rdecker;
check the website for assignments, homework sets, and other materials
Texts/software:
Matrix Analysis for Scientists &
Engineers, Alan J. Laub, SIAM
Linear Algebra, Gilbert Strang,
Wellesley-Cambridge Press
The Student Edition of Matlab
The
primary text for the course is the one by Laub. It is
somewhat tough-going, especially if you don’t have a strong linear algebra
background. The text by Strang is an excellent
undergraduate level text on linear algebra; if you still have your own
undergraduate text, you may not need this one. Matlab
will used extensively in the course; you can either purchase the student
edition, or use the computers on campus.
Course
Summary: This is an applied analysis course for
graduate engineers.
It covers linear algebra and matrix theory
in depth, and applies these tools to solving problems in linear regression and
linear difference and differential equations. It will be necessary to have the
mathematical software MATLAB available. This will be required to do many of the
problems on the problem sets and for exams. There are two free alternatives to
MATLAB: Octave and Scilab. Scilab
has the better interface; Octave is more MATLAB compatible. I will use MATLAB in
class, but I will demonstrate a bit of Octave as well.
Problem
Sets: Four problem sets will be handed out. These will have a specific due date, and no late Problem
Sets will be
accepted unless this is pre-arranged with
the instructor and a valid reason is given.
All problems are to be done individually. You may discuss them with other members of the class, but the work handed in must
be your own.
Grading: The term grade will be computed as follows: problem
sets 50%, two midterm exams 30%, final exam 20%
Webwork: Webwork is an internet based homework system. The problems
are graded by the computer. I will post occasional practice problems on Webwork, which will count for an additional 5% extra
credit.
|
Week |
Sections |
|
Sept 1, 3 |
Chap
1 |
|
Sept 8, 10 |
Introduction to MATLAB/Octave |
|
Sept 15, 17 |
Chap
2 |
|
Sept 22, 24 |
Chap
3 |
|
Sept 29, Oct 1 |
Chap
5 |
|
Oct 6, 8 |
Review,
Exam I |
|
Oct 13, 15 |
Chap 6,
Chap 7 |
|
Oct 20, 22 |
Chap
7, Chap 8 |
|
Oct 27, 29 |
Chap
8, Chap 9 |
|
Nov 3, 5 |
Chap 9 |
|
Nov 10, 12 |
Review, Exam II |
|
Nov 17, 19 |
Chap
11 |
|
Nov 24 |
Chap
11 |
|
Dec 1, 3 |
Nonlinear systems |
|
Dec 8, 10 |
Nonlinear systems, Review |