Optimization, first course (7.5 credits)

This page is created as a student support for the course Optimization, first course (codes TMA947 for Chalmers and MAN280 for GU). The page contains, or will contain, all documents created in LaTeX, that is, course programs, schedules, computer exercise information, old exams, etcetera, as well as Matlab codes for the two computer exercises.


Course information (posted 18 October 2007)

  • DVI-version, PS or PDF-format


    Exercise 6 November 2007 (posted 5 November 2007)

  • The second exercise is given precisely as in the course info, with one Swedish and one English class.


    Course material & Errata list (updated 13 February 2007)

  • An Introduction to Continuous Optimization, by Niclas Andréasson, Anton Evgrafov, Michael Patriksson. Check the publishing house, Studentlitteratur, and the errata list (updated 13 February 2007). Buy it at Cremona!


    List of exam theorems (updated 1 February 2006)

  • Theorem list: PS or PDF format


    Downloadable lecture slides (updated 18 October 2007)

  • Lecture 1 (30 October): PS or PDF format [regular format]

  • Lecture 1 (30 October): PS or PDF format [two pages on one]

  • Lecture 2 (30 October): PS or PDF format [regular format]

  • Lecture 2 (30 October): PS or PDF format [two pages on one]

  • Lecture 3 (1 November): PS or PDF format [regular format]

  • Lecture 3 (1 November): PS or PDF format [two pages on one]

  • Lecture 4 (6 November): PS or PDF format [regular format]

  • Lecture 4 (6 November): PS or PDF format [two pages on one]

  • Lecture 5-6 (8, 13 November): PS or PDF format [regular format]

  • Lecture 5-6 (8, 13 November): PS or PDF format [two pages on one]

  • Lecture 7 (15 November): PS or PDF format [regular format]

  • Lecture 7 (15 November): PS or PDF format [two pages on one]

  • Lecture 8 (20 November): PS or PDF format [regular format]

  • Lecture 8 (20 November): PS or PDF format [two pages on one]

  • Lecture 9 (22 November): PS or PDF format [regular format]

  • Lecture 9 (22 November): PS or PDF format [two pages on one]

  • Lecture 10 (27 November): PS or PDF format [regular format]

  • Lecture 10 (22 February): PS or PDF format [two pages on one]

  • Additional notes on column generation in linear programming [Section 10.6]: PS or PDF format [regular format]

  • Lecture 11 (29 November): PS or PDF format [regular format]

  • Lecture 11 (29 November): PS or PDF format [two pages on one]

  • Lecture 12 (6 December): PS or PDF format [regular format]

  • Lecture 12 (6 December): PS or PDF format [two pages on one]

  • Additional notes on closed algorithmic maps [Section 12.7]: PS or PDF format [regular format]

  • Lecture 13-14 (11, 13 December): PS or PDF format [regular format]

  • Lecture 13-14 (11, 13 December): PS or PDF format [two pages on one]


    Exercise program (updated 18 October 2007)

    Before each exercise please print out the program and bring it with you!

  • Exercise 1 (1 November): PS or PDF format

  • Exercise 2 (6 November): PS or PDF format

  • Exercise 3 (8 November): PS or PDF format

  • Exercise 4 (13 November): PS or PDF format

  • Exercise 5 (15 November): PS or PDF format

  • Exercise 6 (20 November): PS or PDF format

  • Exercise 7 (22 November): PS or PDF format

  • Exercise 8 (27 November): PS or PDF format

  • Exercise 9-10 (29 November, 6 December): PS or PDF format

  • Exercise 11 (11 December): PS or PDF format

  • Exercise 12 (13 December): PS or PDF format


    Project assignment I: Modelling (updated 30 October 2007)

  • PM for the first part: PS or PDF format.

    Handing in:

    The model assignment is handed in to one of the assistants, on paper or in an e-mail. Please write the report in LaTeX, Word, FrameMaker or similar - absolutely not by hand! Read - and follow! - the instructions on what to include in the report before you hand it in! Note: No more than two persons per group; the report must include on the first page the names of each group member, and the e-mail address of at least one group member.


    Project assignment II: The optimal plan, with a sensitivity analysis (posted 23 November 2007)

  • PM for the second part: PS or PDF format.

  • The necessary AMPL-files are: thick.mod and thick.dat.

    Handing in:

    The complete report is handed in to one of the assistants. Please write the report in LaTeX, Word, or FrameMaker or similar. Deadline: 6 December!

    Help with AMPL

    A short introduction to AMPL is available here: PS or PDF format.


    Current status of the project and computer exercises (posted 13 November 2007)

    The current status is found here. Deadline for handing in project model corrections: Friday 16 November!


    Computer exercise 1: Unconstrained optimization (posted 14 November 2007)

    The description is found here: PDF. The necessary MATLAB-files (zipped) are here. To unpack the archive, type unzip lab1_2004.zip in shell prompt; on Windows, you may use 7-Zip. 7-Zip


    Computer exercise 2: Constrained optimization (updated 6 December 2007)

    The description is found here: PS or PDF. The necessary MATLAB-files (zipped) are here. To unpack the archive, type unzip lab2_2006_v2.zip in shell prompt.


    Previous exams

    Next exam is in December 2008 or January 2009

  • Exam 020311 PS format; correct answers (Swedish) : ps, pdf and dvi

  • Exam 020529 PS format; correct answers (Swedish) : ps, pdf and dvi

  • Exam 020826 PS or PDF format; correct answers (Swedish) : ps, pdf and dvi

  • Exam 030310 PS or PDF format; correct answers (English) : pdf

  • Exam 030528 PS or PDF format; correct answers (English) : pdf

  • Exam 030825 PS or PDF format; correct answers (English) : pdf

  • Exam 040308 PS or PDF format; correct answers (English) : pdf

  • Exam 040602 PS or PDF format; correct answers (English) : pdf

  • Exam 040823 PS or PDF format; correct answers (English) : pdf

  • Exam 050314 PS or PDF format; correct answers (English) : pdf

  • Exam 050402 PS or PDF format; correct answers (English) : pdf

  • Exam 050825 PS or PDF format; correct answers (English) : pdf

  • Exam 060306 PS or PDF format; correct answers (English) : pdf

  • Exam 060831 PS or PDF format; correct answers (English) : pdf

  • Exam 070312 PS or PDF format; correct answers (English) : pdf

  • Exam 070830 PS or PDF format; correct answers (English) : pdf

  • Exam 071217 PS or PDF format; correct answers (English) : pdf

  • Exam 080325 PS or PDF format; correct answers (English) : pdf

  • Exam 080828 PS or PDF format; correct answers (English) : pdf


    Links

  • Simplex method: A simple Java applet for the simplex method

  • Trick: Michael Trick's OR page

  • NEOS: NEOS server page



    Back to the Official Michael Patriksson Home Page