# Math 412: Advanced Linear Algebra

Fall Term 2017
Lior Silberman

## General Information

• Office: MATH 229B, 604-827-3031
• Email: "lior" (at) Math.UBC.CA (please include the course number in the subject line, if applicable)
• Office Hours (Fall 2018): Tuesdays and Wednesdays 11:00-12:30

This is a second course in linear algebra, intended for honours students. There is no required textbook. The book by Halmos is very good, covers nearly everything, and is available in PDF form from the publisher for anyone on the UBC network; a lot of the material can also be found in any "abstract algebra" textbook. More details may be found in the syllabus.

## References

1. Halmos, Finite-dimensional Vector Spaces, available from SpringerLink
2. Coleman, Calculus on Normed Vector Spaces, Chapter 1 (on SpringerLink)
3. Higham, Functions of Matrices, available from SIAM
4. [Your favorite author], Abstract Algebra

## Problem Sets

• Solutions (only) are stored on a secure website; registered students can access them after first logging on to Connect.
• (both links restricted to students in the course).
1. Problem Set 1, due 14/9/2017.
2. Problem Set 2, due 21/9/2017 (typo in 5(b) corrected).

## Lecture-by-Lecture information

Section numbers marked § are in Halmos [1], section numbers marked N are in the course notes above.

1 Th 7/9 Introduction §1,§2
2 T 12/9 Direct sum and product §19,§20 Note on infinite dimensions
Th 14/9 (continued)   PS1 due
3 T 19/9 Quotients §21,§22
Th 21/9 Duality §13,§15 PS2 due
4 T 26/9 Bilinear forms
Tensor Products
§23
§24,§25

Th 28/9 (continued)
Th 19/10 Midterm exam
TBA Final exam

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