Math 4377-01, Advanced Linear Algebra I, Monday-Friday, 10am-12:00pm SEC 202
Office Hours: PGH 607, TTH 2-3 and by appointment.
Phone: 713-743-3462 But you can always e-mail your questions to
klaus@math.uh.edu
Please, use only this e-mail.
Teaching Assistants: Victoria Muravina, muravina@math.uh.edu,
CASA TuTh 11-13,
and Zhenhua Wang
zhenwang@math.uh.edu, CASA
TuTh
11:00-13:00
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) (probably not covered)
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.
Preptext for Linear Algebra. If linear algebra is totally new to you, or if you have forgotten everything, then my A Primer for Linear Algebra might be helpful.
To accompany the book,
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)
Grading: There will be three Tests and the Final. I will take the two highest test scores (60%) and the mandatory final (40%). Tests and the Final are based on homework problems and material covered in class.
Homework:
1.1: 1,3,6,7
1.2: 1,2,3,4,5,10,12,13,16,20,21
1.3: 1,2,8,10,11,12,21,24
1.4: 1,2,9,10,12,13,14
1.5: 1,4,5,13,14,15,17,18,20,
1.6: 1,2,4,5,9,10,11,12, 13,24,31
First Test: Monday , June 8
For
all tests, you need to bring a
blue book and picture ID
2.1: 1,9,11,14,16,21
2.2:1,2,8,9,10
Second Test: Monday,
June 15
For
all tests, you need to bring a
blue book and picture ID
2.3: 2,9,11,12, 16* (16 this is a difficult one; I took out problem 1
because it is mainly on notation)
2.4:1,2,3,7
3.1:1,2,3
3.2: 1,2,5(a)-(d),8
3.3:1,2(a)-(d),3a-d
3.4:1,3,14
Read again the first three chapters of the book
and my notes to get ready for the
Third Test, Monday, June 29
For
all tests, you need to bring a
blue book and picture ID4.1:1,2,5,6,7,8
4.2: 1,2,3,4,25,26,28,29
4.3: 1,2,3,10,11
Final (comprehensive): Tuesday, July 7, 11am-2pm
You
need to bring a blue book and picture ID
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.