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
http://www.math.uh.edu/
and follow the link to MAM.
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 Book:
TA2: Peng Zhang
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 Students will also learn how to use the computer algebra portion of SNB for completing the Project.
Organization of the course: You will receive occasionally additional reading assignments
together with weekly homework.
All
homework has to be submitted by e-mail,
as a ScientificNotebook (SNB) file. All Homework must be submitted to
klaus@math.uh.edu in form of
an e-mail
attachment. The subject line
should read: Your name, HW#. For
example, Joe Smith, HW1. The file name then should be: smith_HW1
with extension .tex Thus the file will be smith_hw1.tex In
order to count, I must receive all homework by the deadline.
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 Grading: Tests count for 90% (25%+25%+40%), HW for 10%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; 1.3: 1,2,3; 1.4:
2,6,8,10
2.1: 1,2,3, 6; 2.2: 1,2,3,4; 2.3:
1,2,3,4,8; 2.4:1,2,3,10,11
HW 2 (due Monday, September 8)
2.5: 1,2,3; 3.1: 3,7; 3.2: 4,8; 3.3:
6,7,8,9; 3.4:1,2,3
HW 3 (due Monday, September 15
3.5: 1,2,3,4,9; 3.6:1,5; 3.7: 2,3,5,7,8,9
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; 4.1: 1,2,3, 10, 11; 4.3: 3,4,5
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; 5.5: 1, 2, 3, 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: 6.2: 1, 2, 3; 4; 5
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 206
You need to bring a bluebook and picture ID.
HW 10, (due Monday, November 3)
7.1: 1, 2; 7.2: 1, 2, 3; 7.4: 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:
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.