I have prepared some notes for Math 5331. They deal with finding a basis for the subspace U which is given by spanning vectors and then finding a linear system for U.
Some notes for Math 5331, (pdf-file) , Some Notes for Math 5331 (SNB-file)
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.
Book: Linear Algebra Using MATLAB, Selected material from the
text Linear Algebra and Differential Equations Using Matlab by Martin
Golubitsky and Michael Dellnitz.
The text will made available to enrolled students free of charge.
Software: Scientific Note Book (SNB) 5.5 (available
for $99 through MacKichan Software,
http://www.mackichan.com/)
Students don't need MATLAB. There is no need for students to read any
MATLAB section of the book. No Computer Exercises will be assigned. In
many cases students can check 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 weekly reading assignments
together with 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%HW 1 (due Monday, September 6):
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 13)
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 20)
3.5: 1,2,3,4,9; 3.6:1,5; 3.7: 2,3,5,7,8,9
Test 1, Saturday, September 25, PGH 648, 11-13 o'clock
HW 4 (due Monday, September 27)
3.8: 1,2,4; 4.1: 1,2,3, 10, 11; 4.3: 3,4,5
HW 5 (due Monday, October 4)
5.1: 1, 2, 3, 4-10, 17, 18
HW 6 (due Monday, October 11)
5.2: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
HW 7 (due Monday, October 18)
5.4: 1, 2, 3, 4, 5, 7; 5.5: 1, 2, 3, 5, 7
HW 8 (due Monday, October 25)
5.6: 1, 2, 3, 4, 6, 8
HW 9 (due Monday, November 1)
6.1: 1, 2, 6: 6.2: 1, 2, 3; 4; 5
Test 2, Saturday, November 6, PGH 648, 11-13
o'clock
HW 10, (due Monday, November 8)
7.1: 1, 2; 7.2: 1, 2, 3; 7.4: 1, 2;
HW 11, (due Monday, November 15)
8.1: 1, 2, 3, 6,9,10
Project on Leslie matrices, to be turned in at the day of the Final.
Final, Saturday, December 4, 11-14 o'clock
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
Program Coordinator
Scott Mason
by e-mail
smason@uh.edu
or by phone:
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.
A student who wishes to take a test off campus has to notify me at least one week ahead of time.
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 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.