The course develops the mathematical background for the analytical analysis of physical models involving linear algebra and ordinary and partial differential equations. This course provides the foundation for further study in applied mathematics and the numerical and analytical analysis of physical models. The course is aimed primarily at engineering graduate students.
Textbooks:
Additional info:
A. below is a link to a more detailed (free) linear algebra text
book, in the event that you didn't have any linear algebra course
in the past or if you want some extra problems to do: Jim Hefferon,
Linear Algebra: http://joshua.smcvt.edu/linalg.html
or if the link doesn't work, you can find the book
and the
solutions here.
B. A FORTRAN code
to compute eigenvalues of Sturm Liouville Problems
HW assignments
(don't forget to press the Reload button before checking what's new on
this page!)
HW #1,
HW #2: see hand out;
HW #3: problems 2,8, page 35, 5-pag. 59;
HW #4: 2,9,10 - pag.59; 19, 20 from the yellow page hand out in class
HW #5: 2,3,4,8 from handout material, Problem A, here
HW #6: 1,3,6,8,9,11,15,17 from handout material; if you've missed the
class, you can find an extra copy on my office's door.
HW #7: Least Squares Problems; Strogatz, Ch. 5; 5.2.1, 5.2.3-5.2.11;
HW #8: Pinsky: 0.1.4 #1,
0.1.5 #4; 0.2.4: #1
HW #9: 0.3: #6; 1.1.1, 1.2.16
HW # 10: 1.6.2-1.6.5 (pag. 96), 2.2.1,2.2.3 (pag.120) due
December 1; Friday 21 November lecture is about 2.4.3-2.4.6
Last HW, due Wed.10, problem #4, Section 2.5 (pag. 168)
You
can take a look at the homework assignments from M531 Fall 2002 here