Advanced Linear Algebra

Math 4377, Advanced Linear Algebra I, TuTh 11:30am-1:00pm  SEC 103

I have prepared some notes for Math 4377/6308. They deal with Linear Maps, Linear Systems and Matrices (2.2-2.4, 3.2-3.4).
Some Notes on Math 4377
Students should also be familiar with finding a basis for the span U of  given vectors and then finding a linear system for U. My notes for the online class Math 5331 explain this:
Some notes for Math 5331, (pdf-file)

Office Hours: PGH 607, Thursdays 1:30-3:00
Phone: 713-743-3462  But you can always e-mail your questions to
klaus@math.uh.edu
Please, use only this e-mail.
Teaching Assistant:  Cheng Zhan
0zhancheng0511@hotmail.com
Office Hours:  PGH 688, Cheng is available at CASA, MW 10:30 - 12:30
 

Text: Linear Algebra, Fourth Edition by  Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence

Syllabus:  Chapter 1, Chapter 2, Chapter 3, Chapter 4 (4.1-4.4), Chapter 5 (5.1—5.2).
Course Description: The general theory of Vector Spaces and Linear Transformations will be developed in an axiomatic fashion. Determinants will be covered  to study eigenvalues, eigenvectors and diagonalization.

Grading: There will be three Tests and the Final. I will take the two highest test scores (50%) and the mandatory final (30%). Homework counts for 20%.

Homework:
1.1:
    1,3,6,7
1.2:   
1,2,3,4,5,10,12,13,16,20,21
due Tuesday,  August 31
1.3:   
1,2,8,10,11,12,21,24
due Tuesday ,  September 7
1.4:   
1,2,9,10,12,13,14
due Tuesday, September 14
1.5:   
1,4,5,13,14,15,17,18,20,
due Tuesday, September 21
1.6:   
1,2,4,5,9,10,11,12, 13,24,31
due Tuesday, September 28
First Test: Thursday, September 30
For all tests, you need to bring a blue book and picture ID

2.1: 1,9,11,14,16,21
due Tuesday, October 5
2.2:
1,2,8,9,10
due Tuesday, October 12
2.3:
2,9,11,12, 16* (16 this is a difficult one; I took out problem 1 because it is mainly on notation)
due Tuesday, October 19
2.4:
1,2,3,7
3.1:
1,2,3
due Tuesday, October 26
3.2:
1,2,5(a)-(d),8
3.3:
1,2(a)-(d),3a-d
3.4:
1,3,14
due Tuesday, November 2
Read again the first three chapters of the book
and my notes to get ready for the
Second
Test: Tuesday, November 9
For all tests, you need to bring a blue book and picture ID

4.1:1,2,5,6,7,8
due Tuesday, November 16
4.2:
1,2,3,4,25,26,28,29
4.3: 1,2,3,10,11
due Tuesday, November 23

Tired of still not being able to type math on your new and fancy PC? I recommend Scientific Notebook (SNB) for your home work and for writing notes of  the course. This program is available for $99  through MacKichan Software at http://www.mackichan.com/
Unlike ordinary word processors, documents are saved in LaTeX. But the program is as easy to use as MS Word and for SNB, you don't have to know any TeX.   In addition of  being a scientific text processor, the program can also compute or graph your mathematical expressions. This feature is especially useful for Linear Algebra. SNB comes with complete printed documentation.