*This course is meant for students who wish to pursue a Master of
Arts in Mathematics (MAM). Please
contact me in
order to find out whether this course is suitable for you and/or your degree plan.
For further info about MAM, please visit
*

**Very important:
**If you are not enlisted in the MAM program, or if you are
taking MAM courses as a PB student, then make sure that our MAM courses apply
towards your degree program. If you take MAM courses as a PB student, only a
**limited** number of MAM courses can be applied. If
you wish to get into the regular masters program, **none **of the
5000-level courses can be applied. If in doubt, you should get in touch with
our graduate advisor Neha Valji at
neha@math.uh.edu, or PGH 713-743-3517.

**Office Hours (607 PGH):*** *
**TTH 12-13**, You
can always send email to
klaus@math.uh.edu

**TA1: Pei Yang**

**TA2: Peng Zhang**

** Book:
**Linear Algebra Using MATLAB, Selected material from the
text

Professor Etgen extracted from the Golubitsky-Dellnitz book the chapters that are relevant for this course. The (reduced) text will made available to enrolled students free of charge. Students don't have to buy the full text.

In order to get the book, just email a request to Tai McAlister at tai@math.uh.edu

**Software:** Scientific Note Book (SNB) 5.5 (available
for $79 through MacKichan Software,
http://www.mackichan.com )

Students **don't need** MATLAB. There is no need for students to read any
MATLAB sections of the book.** No **Computer Exercises will be assigned. In
many cases students can check their solutions of Hand Exercises with SNB.

** Syllabus: **Chapter 1 (1.1, 1.3, 1.4), Chapter 2
(2.1-2.5), Chapter 3 (3.1-3.8), Chapter 4 (4.1-4.4), Chapter 5 (5.1-5.2,
5.4-5-6), Chapter 6 (6.1-6.4), Chapter 7 (7.1-7.4), Chapter 8 (8.1)

** Project: **Applications of linear algebra to
demographics. To be completed by the end of the semester as part of the final.

** Course Description: **Solving Linear Systems of
Equations, Linear Maps and Matrix Algebra, Determinants and Eigenvalues, Vector
Spaces, Linear Maps, Orthogonality, Symmetric Matrices, Spectral Theorem

**Organization of the course: **You will receive occasionally additional reading assignments
together with weekly homework. **
**All
homework has to be submitted by e-mail,

klaus@math.uh.edu in form of an e-mail attachment. The

**In order to start a new document, that is, to start a new
file, you should pick from the various options for Shell Directories and Shell
Files: "General" and "Blank Document" and then start typing. (In order to see
the math symbols, you have to go to View-Toolbars and make your selections.
You should try out the Symbol Cache. )**

** Tests: **There will be two tests and the Final

On homework assignments

All of our
5000 level course assume that you have been exposed to the material before. In
case that you have forgotten everything about linear algebra and need a
geometric introduction A primer in
Linear Algebra might be helpful. These are very old notes.

**HW 1 (due Monday, September 1):
1.1: **4,6,7,10

2.1:

**HW 2 (due Monday, September 8)
2.5: **1,2,3;

**HW 3 (due Monday, September 15
3.5:** 1,2,3,4,9;

Practice Test 1 (may change) .
I will be available for a Q&A session, **PGH 646, Wednesday ,
September 17, from 6-8 pm **

Test 1, Saturday, September
20, 11-12:30
o'clock, Room: SEC 206

You need to bring a
bluebook and picture ID.

**HW 4 (due Monday, September 22)
3.8: **1,2,4;

**HW 5 (due Monday, September 29)
5.1: **1, 2, 3, 4-10, 17, 18

**HW 6 (due Monday, October 6)
5.2:** 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

**HW 7 (due Monday, October 13)
5.4: **1, 2, 3, 4, 5, 7;

For the final section of Chapter 5 I have prepared some Notes on span, bases and linear systems

**HW 8 (due Monday, October 20)
5.6:** 1, 2, 3, 4, 6, 8

**HW 9 (due Monday, October 27
6.1: **1, 2, 6:

Test 2 Prepsheet,
Practice Test 2 (may change)
I will be available for a Q&A session, **PGH 646, Wednesday ,
October 29, from 6-8 pm **

**Solutions of 6.1 #1 and 6.2 # 5**

**
Test 2, Saturday, November 1, 11-12:30
o'clock, Room: SEC 206You need to bring a bluebook and picture ID.**

**
HW 10, (due Monday, November 3)
7.1: **1, 2;

**HW 11, (due Monday, November 10)
8.1: **1, 2, 3, 6,9,10

**Project on
Leslie matrices.tex,
Leslie matrices.pdf to be turned in at the day of the Final. **

**
Practice_Final.pdf (**may change**) I will be available for a Q&A
session, PGH 646, Wednesday, December 3, from 6-8pm**

Final, Saturday, December 6,
11-14 o'clock, Room: SEC 206

You need to bring a bluebook and picture ID.

** Taking tests off-campus:**UH DE request that students provide at least three institutions near them. In turn, UH DE will contact those institutions and confirm if they have proctoring services and gather any other important details students need.

DE students wishing to have their exams proctored must contact

713-743-5572

However, if possible you should take tests on campus. Online graduate courses are not meant to save you time and gasoline. Living in nearby cities, like Katy, Humble, Sugarland or the Woodlands should not be a reason to take tests off campus. If you have to take the tests off campus, then certain WebCT Testing Center Policies must be obeyed:

1. Introduce yourself to the proctor and be prepared to show a valid photo id.

2. Once you have started a test, you cannot leave the testing room for any reason. If you decide to leave the testing room, you have to turn in your test, and the proctor should not allow you to continue the test.

3. You should take a test at the scheduled day. If this is impossible, then you have to ask me for permission to take it a couple of days earlier or later.

I don't recommend buying one of the "upgrades" of SNB namely Scientific Word (SW) or Scientific Workplace (SWP). SW is only a front-end for LaTeX. It does not compute math expressions, something SWP does. If for some reason you wish to get a full TeX program, there are better choices. SW as well as SWP offer only limited compatibility with regular LaTeX.

Why don't we use MS Word with the Equation Editor? Because this is an awful combination and sooner or later I would be forced to accept handwritten HW. It just would take you too long to get any math typed. And there are many other reasons why we should not use Word for documents that contain a non-trivial amount of mathematical formulas.

Can I use SNB for my other math courses? Yes. SNB provides you with decent looking hardcopies. But even if your instructor accepts HW as e-mail attachments, SNB files can be opened by LaTeX which is available to every faculty. And you might enjoy the math capabilities of SNB for courses which have a numerical component, like Linear Algebra.

**Can I save SNB files in PDF?** Yes, but only if you have access to the
Adobe Acrobat, or an equivalent program.