MATH 5331-01, 16178 (ONLINE) LINEAR ALGEBRA W/APPLICATIONS, SEC 105  16:00-17:30

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: Yingxue Su

 Book: Linear Algebra, Fourth Edition, Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence, Prentice Hall ISBN ISBN 0-13-008451-4

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."

Syllabus:  Chapter 1, Chapter 2, Chapter 3, Chapter 4 (4.1-4.4), Chapter 5 (5.1-5.2)

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

Course Description: The general theory of Vector Spaces and Linear Transformations will be developed in an axiomatic fashion. Determinants.

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.

LaTeX and SNB

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 thre tests and the Final. Your lowest test score will be dropped

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, August  27):
1.2:    1,2,3,4,10,12,13,16,20,21
HW 2 (due Monday, September 3
1.3:    1,2,8,10,11,12,21
HW 3 (due Monday, September 10)
1.4: 1,2(a-c),9,10,12,13
1.5: 1,4,5,13,14,15,17,18,20
HW 4: (due Monday, September 17)
1,2,4,5,9,10,11,12, 13,24,31

Collaborate Video session:  Monday, September  10, 17-18 o'clock My  video talk 2018FA_5331_Video1.pdf


Practice Test 1    Practice Test 1_key   I will be available for a Q&A session,  PGH 646, Wednesday , September 19,  from 6-8 pm . A "collaborate" video session has been scheduled for Monday, September 17, 16-18 o'clock

Video Talk Video Talk 2

 Test 1, Saturday,  September 22, 12-13:30 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 22.

HW 5 (due Monday, September 24)
2.1: 1,9,11,14,16,21
HW 6 (due Monday, October 1)
1,2 (a)-(d),8,9,10
HW 7 (due Monday, October 8
2.3: 2,9,11,12, 16* (16 this is a difficult one; I took out problem 1 because it is mainly on notation)

HW 8 (due Monday, October 15)
2.4:1,2,3, 6,7,

Practice Test 2, Key for Practice Test2  Key for Test 2
I will be available for a Q&A session,  PGH 646, Thursday, October 18,  from 6-8 pm . A "collaborate" video session has been scheduled for Wednesday, October 17, 17:00-18:30 o'clock:

Video Talk 3

Test 2, October 20, 12-13:30 o'clock, Room: PGH 646

HW 9 (due Monday, October 22)
3.1: 1,2,3
HW 10 (due Monday, October  29
3.2: 1,2,5(a)-(d),11,14
HW 11 (due Monday, November 5
HW 12 (due Monday, November 12
3.4:1,2(a), (b), 3,9, 14
Practice Test 3       Key for Practice Test 3  Key for Test 3


A "collaborate" video session has been scheduled for Wednesday, November 14, 16:30-18 o'clock. I will be available for a Q&A session,  PGH 646,Thursday, November 15,  from 6-8 pm .

Video Talk 4

Test 3, Saturday, November 17, 12-13:30 o'clock, Room: PGH 646

 Notes on Determinants  An axiomatic introduction of determinants

HW 13,  (due Monday, November 26)
4.1:1,2,5,6,7,8     4.2: 1,2,3,4,25,26,28,29     4.3: 1,2,3,10,11

Practice Final    Some answers for the practice final

Project on Leslie matrices.tex, Leslie Matrices_final.sci Leslie matrices.pdf to be turned in at the day of the Final. You may have to read 5.1 on eigenvalues and eigenvectors.

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

Additional reading on Sums and Intersections.tex   2018_Sums and Intersections.pdf

A "collaborate" video session has been scheduled for Wednesday, November 28, 16:30-18 o'clock.

Video Talk 5

Final,  Saturday, December 1, 12-14 o'clock, Room:  PGH 651 G (close to the seminar room which we used before)
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

Jewel Elliott

Program Coordinator | Online & Special Programs
56B M.D. Anderson Library | Houston, TX 77204
713-743-1567 |  

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.