The course grade will be calculated as follows, out of 660 points total:
You can check your grades via Moodle.
Your grade total will be converted to a letter grade according to the following scale:
|A+||≥ 630||B+||≥ 520||C+||≥ 450||D+||≥ 380|
|A||≥ 570||B||≥ 490||C||≥ 420||D||≥ 350|
|A-||≥ 540||B-||≥ 470||C-||≥ 400||D-||≥ 330|
It is possible to take the course for 4 credits rather than 3, at the cost of extra homework questions and more difficult exams. If you want to do this, you need to register at the math office in Altgeld Hall soon after the start of the course.
There will be 10 homework assignments, to be turned in at the beginning of class the day they are due. Of these homework assignments, the top 8 homework scores will determine your grade. Each assignment is graded out of 20 points, for a total of 160.
If you cannot attend class, you should submit a scanned copy or a photo of your homework as a single PDF file by e-mail before class begins. Please avoid doing this unless it's necessary, since it is more work for the grader.
If the homework assignment is received after class on the due date, but before the next class, it will be accepted as late, for a 2-point penalty. Homework will not be accepted after the next class for any reason.
There will be three evening midterm exams: Wednesday 9/18, Wednesday 10/16, and Wednesday 11/20 from 7pm to 8:30pm in Noyes 161. Correspondingly, three lectures will be canceled, not necessarily in the same week as the midterm exams. These are marked in the syllabus below.
The final exam will not be combined; the date and time for each section is listed at the end of the syllabus. By default, you should take the final exam for your section; if you have a good reason why you need to do something other than that, talk to me in advance.
This course is based on several textbooks with a lot of overlap; read whichever ones help, or read my lecture notes (or both). In the syllabus, I will refer you to sections of the textbooks below that cover the relevant material.
The syllabus below will initially describe a tentative plan for what topics will be covered when. As the semester progresses, I will update the syllabus with lecture notes, adjustments to my plans for the future, and links to homework assignments.
|Mon August 26||Background||Intro to linear programs||GM 1.1; V 1.1-1.2|
|Wed August 28||Constraints in LPs||GM 4.1, 4.3; PS 1.5, 2.1|
|Fri August 30||The Simplex Method
PS Chapter 2
|Basic solutions; pivoting||GM 4.2; PS 2.2, 2.4; V 2.1|
|Mon September 2||Labor Day: no class|
|Wed September 4||Objective functions||GM 5.1; PS 2.5-2.6; V 2.1|
|Fri September 6||Simplex method example||GM 5.2-5.3; PS 2.9; V 2.2||HW 1 due|
|Mon September 9||Two-phase simplex method||GM 5.4, 5.6; PS 2.8; V 2.3|
|Wed September 11||Pivoting rules||GM 5.7-5.8; PS 2.7; V 3.1-3.4|
|Fri September 13||No class|
|Mon September 16||Corner points||GM 4.2, 4.4; PS 2.2||HW 2 due|
|Wed September 18||Exam review (Exam topics)||Exam: 7pm in Noyes 161|
|Fri September 20||Revised simplex method||GM 5.5-5.6; PS 4.1-4.2|
|Mon September 23||Worst cases||GM 5.9; PS 8.6; V 4.4|
|Wed September 25||Duality
PS Chapter 3
|The dual linear program||GM 6.1-6.2; PS 3.1; V 5.1-5.4|
|Fri September 27||Complementary slackness||GM 6.4; PS 3.2; V 5.5||HW 3 due|
|Mon September 30||Duality in the tableau||GM 6.3; PS 3.5; V 5.4|
|Wed October 2||The dual simplex method||PS 3.6-3.7; V 5.6-5.7|
|Fri October 4||Sensitivity analysis I||V 7.1||HW 4 due|
|Mon October 7||Sensitivity analysis II||V 7.1|
|Wed October 9||Zero-sum games I||GM 8.1; V 11.1|
|Fri October 11||Zero-sum games II||GM 8.1; V 11.2-11.3||HW 5 due|
|Mon October 14||Other topics||Fourier-Motzkin elimination||GM 6.7|
|Wed October 16||Exam review (Exam topics)||Exam: 7pm in Noyes 161|
|Fri October 18||Miscellaneous applications||GM 2.4,2.6|
|Mon October 21||Graph Theory||Bipartite matchings I||GM 8.2; PS 10.1, 13.2; CCZ 4.2|
|Wed October 23||Bipartite matchings II||GM 8.2; PS 10.1, 13.2; CCZ 4.2|
|Fri October 25||Network flows||PS 4.3; V 14.1, 15.5||HW 6 due|
|Mon October 28||Max-flow min-cut theorem||PS 6.1; V 15.5|
|Wed October 30||Augmenting paths||PS 6.2|
|Fri November 1||No class|
|Mon November 4||Ford-Fulkerson algorithm||PS 6.2-6.3; Infinite example||HW 7 due|
|Wed November 6||Max-flow extensions||external slides|
|Fri November 8||No class|
|Mon November 11||Push-relabel algorithm I||external notes|
|Wed November 13||Push-relabel algorithm II|
|Fri November 15||Primal-Dual Method
PS Chapter 5
|Primal-dual introduction||PS 5.1-5.2||HW 8 due|
|Mon November 18||Augmenting the dual||PS 5.3|
|Wed November 20||Exam review (Exam topics)||Exam: 7pm in Noyes 161|
|Fri November 22||The restricted primal||PS 5.2|
|Mon November 25||Fall break: no class|
|Wed November 27|
|Fri November 29|
|Mon December 2||Integer Programming
PS Chapter 13
|Using integer constraints||PS 13.1; CCZ 1.1, 2.10-2.11||HW 9 due|
|Wed December 4||Branch-and-bound method||PS 18.1; V 23.5; CCZ 1.2.1|
|Fri December 6||Cutting plane method||PS 14.1; CCZ 1.2.2|
|Mon December 9||Traveling salesman problem||V 23.2; CCZ 2.7||HW 10 due|
|Wed December 11||Exam review (Exam topics)|
|Fri December 13||Final Exam 7pm-10pm for the morning (10am) section in 447 Altgeld Hall|
|Tue December 17||Final Exam 8am-11am for the afternoon (12pm) section in 241 Altgeld Hall|