Assignment 1
(due May 24, 2006).
Assignment 2
(due June 5, 2006):
Reading: Cantrell, Modern Mathematical Methods for Physicists and Engineers, Chapter 3
Problems: Cantrell, Modern Mathematical Methods for Physicists and Engineers:
Chapter 3, Problems 3.2.3, 3.3.3, 3.3.4, 3.3.5, 3.4.2
Assignment 3
(due June 12, 2006):
Reading: Cantrell, Modern Mathematical Methods for Physicists and Engineers, Chapter 6 and section 9.5.3
Problems: Cantrell, Modern Mathematical Methods for Physicists and Engineers:
Chapter 3, Problems 3.5.1, 3.5.5
Chapter 6, Problems 6.3.4, 6.6.3, 6.6.5, 6.6.6
Assignment 4
(due July 10, 2006):
Reading: Cantrell, Modern Mathematical Methods for Physicists and Engineers, Sections 8.2, 8.3 and 8.4, and Chapter 9
Problems: Cantrell, Modern Mathematical Methods for Physicists and Engineers:
Chapter 8, Problem 8.2.19 (you may use ``canned'' software for part (a)) and Problem 8.4.3 (also obtain the singular value decomposition of the matrix H numerically, and use your result to estimate the condition number of H in Problem 8.4.3)
Chapter 9, Problems 9.4.1, 9.4.2, and 9.6.3 (also obtain the singular value decomposition of the matrix A numerically, and use your result to estimate the condition number of A in Problem 9.6.3)
Assignment 5
(due July 24, 2006):
Reading: Cantrell, Modern Mathematical Methods for Physicists and Engineers, Section 11.5, "Iterative methods" (Chapter 15), "Cayley-Hamilton theorem" (Appendix I) and "Partial differential equations" (Chapter 16).
Computational Science Education Project, Monte Carlo Methods and Random Numbers.
Problems:
Problems 15.2.2, 15.3.2, I.2.1 and I.3.4.