Cal Poly - Department of Mathematics - Morgan Sherman

Linear Algebra III

Math 406, Spring 2013, Prof. Sherman. [Email: sherman1]

Text: "Linear algebra done right", 2nd ed., by Sheldon Axler

Topics: We will cover Chapters 7-10 of the book. In these sections we will delve much deeper into the structure of linear operators.

Classroom: 38-148

Office Hours: Building 25 Room 310; M 5-6; T 10-11 and 5-6; W 10-11

Exams: We will have one midterm (at the end of week 5) and a final exam.

Homework: We will have weekly homeworks (except for weeks 5 and 6). For each homework I will assign about 10 problems. While it is encouraged that you work together and collaborate, I do insist that your homework be written up entirely in your own words. Please do not consult any "solutions guides" or use the internet in any way to help with your homework. I will choose one problem each week to grade thoroughly and give you feedback on. The remainder of your homework grade will be based on completeness and timeliness.

Grade: Homework 30%, Midterm 30%, Final Exam 40%

Schedule of lectures:

Week 1 Apr 2-4	Brief review of Linear Algebra II Begin chapter 7: Self-adjoint (or Hermitian) operators
Week 2 Apr 8-11	HW 1 due beginning of class ~~Monday~~ Wednesday Continue chapter 7: Normal operators; The spectral theorem; Positive operators
Week 3 Apr 15-18	HW 2 due beginning of class Monday Continue chapter 7: Isometries; Polar and Singular-value decompositions Begin chapter 8: Generalized eigenvectors; ...
Week 4 Apr 22-25	HW 3 due beginning of class Monday
Week 5 Apr 29-May 2	Midterm on Thursday
Week 6 May 6-9
Week 7 May 13-16	HW4 due beginning of class Monday
Week 8 May 20-23	HW 5 due beginning of class Monday
Week 9 May 27-30	HW 6 due beginning of class Monday
Week 10 June 3-6
Finals Week

Homework:
HW1: Chapter 7 # 1-10

Practice problems: All problems from the book.