MthSc 853, Spring 2013
# MthSc 853, Spring 2013

Class
Syllabus

### Lecture Notes

Section 1:
Vector spaces. (12 pages, last updated Jan 23, 2013)

Section 2:
Duality. (6 pages. Updated Jan 30, 2013)

Section 3:
Linear mappings. (14 pages. Updated Feb 14, 2011)

Section 4:
Matrices. (12 pages. Updated Feb 3, 2015)

Section 5:
Determinant and trace. (17 pages. Updated March 2, 2013)

Section 6:
Spectral theory. (24 pages. Updated March 13, 2013)

Section 7:
Euclidean structure. (23 pages. Updated April 2, 2013)

Section 8:
Self-adjoint mappings. (17 pages. Updated April 16, 2013)

Section 9:
Positive definite mappings. (19 pages. Updated May 3, 2013)

### Homework

Homework 1: pdf |
tex. Due
Tuesday, January 22nd.

Homework 2: pdf |
tex. Due
Tuesday, January 29nd.

Homework 3: pdf |
tex. Due
Tuesday, February 5th.

Homework 4: pdf |
tex. Due
Tuesday, February 12th.

Homework 5: pdf |
tex. Due
Tuesday, February 19th.

Homework 6: pdf |
tex. Due
Tuesday, February 26th.

Homework 7: pdf |
tex. Due Tuesday,
March 5th.

Homework 8: pdf |
tex. Due Tuesday,
March 12th.

Homework 9: pdf |
tex. Due Wednesday,
March 27th.

Homework 10: pdf |
tex. Due Tuesday,
April 2nd.

Homework 11: pdf |
tex. Due Tuesday,
April 9th.

Homework 12: pdf |
tex. Due Thursday,
April 18th.

Homework 13: pdf |
tex. Due Thursday,
April 25th.