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.
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
(don't forget to press the Reload button before checking what's new on
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)
can take a look at the homework assignments from M531 Fall 2002 here