Joel Friedman's Math 340 Page

This page concerns Math 340, Section 101, for Winter 2014-15 Term 1 (i.e., Fall 2014). The dates of exams, once announced, will not change; all other dates, homeworks, etc. are subject to change.

Not all course materials are available at all times (especially solution sets to homeworks).

Materials here are not necessarily free of errors; some corrections might only be announced in class.

Final Exam Our final exam is on Tuesday, December 16, in LSK 201. Here is an INCOMPLETE DRAFT of a course outline describing what we have covered in this course, what you need to know and be able to do, and pointers to the appropriate sample exam problems (most or all of the sample exam problems will appear in other documents).
Midterm The midterm was held on Wednesday, October 22, covering material up to and including October 8: the handout on game theory, Chapters 2 and 3, and the applications of Chapters 2 and 3 to game theory (see the blog and the homework exercises). Here is the midterm with solutions; the midterm was scaled by s(x), where x is your raw score out of 30, given by: 5x if x <= 10, 3x+20 if 10 <= x <= 25, and 4x-20 if x >= 25 (so 10 scales to 50, 15 to 60, 25 to 80, etc.) Here is a draft of the note sheet that will be provided to you. You should be able to do all the homework problems, exercises from the handout, and all Sample Exam Problems (see below) from Topics 1 and 2. Location will be our usual classroom; the exam will be 40 minutes long (it will begin some 10 or so minutes after 2pm); you will be seated in alphabetical order by last name (as it appears on my class list).
Basic Materials Here is a general overview of this course. We will first follow Matrix Games and Poker (a supplemental article), which may be updated periodically; we will also refer to "Two-Person Zero-Sum Games," by Alan Washburn. We then follow the textbook, "Linear Programming" by Vanderbei, 4th edition; it is available to anyone with a CWL account. We will then revisit matrix games and poker. Other applications will be covered as time permits. We have another article on eta matrices, which includes notes for class and (will include) sample exam problems for homework; here is a preliminary version of this article on eta matrices and the Assignment Problem.
Blog Here is a general skeletal blog for this course. This will show where we are in the text, and list some of the key points, terminology, etc. It is skeletal--just a bare outline--since we will follow the supplemental article and textbook very closely. Here are two slides from September 19: maple_first_lp.txt, and maple_first_game.txt, illustrating two applications of the simplex method. A slide about a large feasibility question, discussed on September 26, is your_task190.txt.
Homework Homework to be listed here.
Homework #1, due Sept 15: 9.1(1),(3),(5); 9.2(3),(6);9.3 from "Matrix Games and Poker." Homework was graded out of 9; solutions.
Homework #2, due Sept 22: 9.4, 9.7, 9.8, 9.12. One additional statement was added to 9.8, to make things easier, as of September 15; make sure you hit the "refresh" button to get the latest version. Homework was graded out of 12; solutions.
Homework #3, due Sept 29, is given here. Homework was graded out of 9; solutions.
Homework #4, due Oct 6, is given here. It was graded out of 10; 3 points for the first two problems, and 4 points for the last problem. Solutions.
Homework #5, due Oct 17, is given here. Solutions.
Homework #6, due November 14: Problems 3.1, 3.2, 3.4 of the handout on eta matrices. Solutions.
Homework #7, due November 24: Problems 3.5, 3.6, 3.7, 3.9 of the handout on eta matrices.
Office Hours Joel Friedman (Instructor): by appointment, unless posted otherwise.
Previous Exams Note that material and emphasis changes from year to year; look at "Sample Exam Problems" below to see which problems on which exams are relevant to our course. Exams available (some with brief solutions):
  1. midterm 1997 (solutions) [Anstee's rule is explained in Problem 1],
  2. midterm 1999 (solutions),
  3. midterm 2000 (solutions),
  4. midterm 2001 (solutions),
  5. midterm 2007 and solutions[The equilibrium strategry for each player is the same as the optimum "announce a mixed strategry"],
  6. final 1997,
  7. final 1999 (solutions),
  8. final 2000 (solutions).
  9. Midterm 2008 and solutions [Here "Announce" means "announces a pure strategry" and "Scream" means "announces a mixed strategy"],
  10. Final 2008,
  11. Midterm 2009 and solutions [Same remark as Midterm 08 regarding "Annouce" and "Scream"], and
  12. Final 2009
Sample Exam Problems Topic 1: Game theory and poker (covering "Matrix Games and Poker" and selections from Washburn): Mid 07: 4; Mid 08: 1,5; Fin 08: 1; Mid 09: 2,6; Fin 09: 3,7; and all sample exam problems from "Matrix Games and Poker"
Topic 2: The simplex method and perturbation method to avoid cycling (covering Vanderbei, Chap 1--3): Mid 97: 1,3; Mid 99: 1,3; Mid 00: 1,2,4,5; Mid 01: 1,3; Fin 97: 1; Fin 99: 2; Fin 00: 1; Mid 08: 2,4; Fin 08: 4; Mid 09: 1,3; Fin 09: 4;
Topic 3: Duality theory (Vanderbei, Chap 5): Mid 97, 2; Mid 99: 2; Mid 00: 3, Mid 01: 2, Mid 07: 1,2; Fin 97: 2; Fin 99: 1; Mid 08: 3; Fin 08: 3; Mid 09: 4; Fin 09: 5;
Topic 4: Dual Simplex Method (Vanderbei 5.6--5.7) and Revised Simplex Method (Vanderbei, Chap 6, 8.1--8.4): Fin 97: 3; Fin 99: 3,4; Fin 00: 3 (first half), 5; Fin 08: 5,6; Mid 09: 5; Fin 09: 1,6;
Topic 5: Sensitivity and Parametric Analysis (Vanderbei, Chap 7): Mid 99: 4; Fin 97: 4; Fin 99: 5; Fin 00: 4; Fin 09: 2;
Topic 6: Game theory and poker revisited (Vanderbei, Chap 11, "Matrix Games and Poker" and selections from Washburn):
Gnus Of The World Office Hours for the week Oct 14-17: Tuesday, 4:45-5:45pm, Wednesday, 5-6pm, Thursday, 4:45-5:45pm; all will be held in Mathematics Building, room 210.

UBC Math Home| Joel Friedman Home| Course Materials