MthSc 853, Spring 2011

"You see this little hole? This moth's just about to emerge. It's in there right now, struggling. It's digging it's way through the thick hide of the cocoon. Now, I could help it - take my knife, gently widen the opening, and the moth would be free - but it would be too weak to survive. Struggle is nature's way of strengthening it."
--Locke (Lost, 2004)

Class Syllabus

Lecture Notes

Section 1: Vector spaces. (11 pages. Updated Jan 24, 2011)
Section 2: Duality. (7 pages. Updated Jan 31, 2011)
Section 3: Linear mappings. (14 pages. Updated Feb 14, 2011)
Section 4: Matrices. (11 pages. Updated Feb 14, 2011)
Section 5: Determinant and trace. (15 pages. Updated March 2, 2011)
Section 6: Spectral theory. (22 pages. Updated March 3, 2011)
Section 7: Euclidean structure. (18 pages. Updated March 29, 2011)
Section 8: Self-adjoint mappings. (13 pages. Updated April 11, 2011)
Section 9: Calculus in vector spaces. (12 pages. Updated April 21, 2011)
Section 10: Positive definite mappings. (14 pages. Updated April 29, 2011)

Homework

Homework 1. Due Tuesday, January 25, 2011
Homework 2. Due Wednesday, February 2, 2011
Homework 3. Due Monday, February 7, 2011
Homework 4. Due Monday, February 14, 2011
Homework 5. Due Monday, February 21, 2011
Homework 6. Due Wednesday, March 2, 2011
Homework 7. Due Wednesday, March 9, 2011
Homework 8. Due Wednesday, March 16, 2011
Homework 9. Due Friday, April 1, 2011
Homework 10. Due Monday, April 11, 2011
Homework 11. Due Wedsesday, April 20, 2011