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
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, or PGH 713-743-3517.

Office Hours (607 PGH):  TTH 12-13,  You can always send email to

TA: Xiao Zhang,

 Book: Linear Algebra Using MATLAB, Selected material from the text Linear Algebra and Differential Equations Using Matlab by Martin Golubitsky and Michael Dellnitz.
Professor Etgen extracted from the Golubitsky-Dellnitz book the chapters that are relevant for this course. A PDF file of the (reduced) text  will made available to enrolled students free of charge. Students  don't have to buy the full text. However, I highly recommend to get a print-out of the PDF file for easier reading.
In order to get the book, just email a request to Tai McAlister at

Software: Scientific Note Book (SNB) 5.5 or 6  (available through MacKichan Software, )

SNB is a basic  word processor meant for text entry together with math. With SN you can also perform all sorts of mathematical calculations through MuPad. This makes SN a reasonable buy at the price of a graphics calculator.
The latest version of Scientific Notebook is very different from SNB 5.5 This previous version SNB 5.5 is more stable and much faster than version 6. If you are on windows than you should get version 5.5 Here are instructions for registering version 6 and downloading 5.5:
"The serial number for version 6 also allows the user to install and register version 5.5. The semester (180-day) license for SNB can be purchased from our online store for $39.67."

 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  in form of  an e-mail attachment.
subject line should read: Your name, HW#. For example, Joe Smith, HW1. The  file name then  should be: smith_HW1 with  extension .tex (SNB 5.5 ) or .sci (SNB 6) Thus the file will be  smith_hw1.tex  or  smith_hw1.sci .
 In order to count, I  must receive all homework by the deadline.

In order to start a new document in SNB5.5 , 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. )

In  SNB 6, you are greeted  with a Window prompting you to create a new LaTeX Document.  Go to File-->New and choose "Blank LaTeX Article ". Your saved document  will have the .sci extension. A .sci document  is not a LaTeX document but can be exported to LaTeX.

If you are a SNB6 user then send us your finished HW as a .sci file and your corrected HW wil be returned as a .sci file.

If you have already SNB 5.5, there is no need to upgrade to SNB 6. And you should'nt. However, SNB 5.5 works  only on Windows machines while SNB 6 works on Windows as well as on OS X.

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

Tests: There will be two tests and the Final

Grading: Tests count for 90% (25%+25%+40%), HW for 10%
On homework  assignments

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, August  28):
4,6,7,10; 1.3: 1,2,3; 1.4: 2,6,8,10
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 4)
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 11)
1,2,3,4,9; 3.6:1,5; 3.7: 2,3,5,7,8,9

Practice Test 1 (may change) Key for Practice Test 1.   I will be available for a Q&A session,  PGH 646, Wednesday , September 13,  from 6-8 pm

 Test 1, Saturday,  September 16, 11-12:30 o'clock, Room: PGH 646

If you take the test on campus,  you need to bring a bluebook and picture ID.
Off-campus students might not be able to take tests on Saturdays. Pleae make arrangements with UHDE to have your test proctored around September 16.

HW 4 (due Monday, September 18)
1,2,4; 4.1: 1,2,3, 10, 11; 4.3: 3,4,5

HW 5 (due Monday, September 25)
1, 2, 3, 4-10, 17, 18

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

HW 7 (due Monday, October 9)
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 and Sums and Intersections .tex Sums and Intersections.pdf

HW 8 (due Monday, October 16)
1, 2, 3, 4, 6, 8

HW 9 (due Monday, October  23
1, 2, 6: 6.2: 1, 2, 3,  4, 5  Solutions of 6.1 #1 and 6.2 # 5

Test 2 PrepsheetPractice Test 2, 2016Practice Test 2_key.tex  2016_5331_Practice Test2_key.pdf  I will be available for a Q&A session,  PGH 646, Wednesday, October 25  from 6-8 pm

 Solutions of 6.1 #1 and 6.2 # 5

Test 2, Saturday,  October 28,  11-12:30  o'clock, Room: 646
Local students   need to bring a bluebook and picture ID.

HW 10,  (due Monday, Novewmber 6)
1, 2; 7.2: 1, 2, 3; 7.4: 1, 2;

HW 11,  (due Monday, November 13)
1, 2, 3, 6,9,10

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

Practice_Final.pdf (may change) Practice_Final_Key.pdf  I will be available for a Q&A session, PGH 646, Wednesday, November 29 , from 6-8pm

5301_Sums and Intersections.tex

Final,  Saturday, December 2, 11-13 o'clock, Room:  AH 11
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
Tim Bretzke

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. If possible, you should take a test at the scheduled day. If this is not possible,  then you have to ask me for permission to take it a couple of days earlier or later.