MAT9120 – Mathematical Optimization
Course description
Course content
The course treats selected topics in convexity, optimization and matrix theory. Possible topics include: combinatorial optimization, combinatorial matrix theory, convex analysis, and convex optimization. Usually the version with combinatorial optimization and matrix theory, convexity and polyhedral theory, and also an introduction to polyhedral combinatorics.
Learning outcome
After completing this course you will:
- have knowledge of basic convex analysis and combinatorial optimization;
- understand the basic theory of polyhedra and polytopes;
- know basic theory combinatorial matrix theory and network flows;
- be able to develop algorithms, exact and approximate for some types of combinatorial optimization.
Admission to the course
PhD candidates from the University of Oslo should apply for classes and register for examinations through?Studentweb.
If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.
PhD candidates who have been admitted to another higher education institution must?apply for a position as a visiting student?within a given deadline.
Recommended previous knowledge
- MAT2400 – Real Analysis
- MAT-INF1100 – Modelling and Computations?
- MAT3100 – Linear optimization
- MAT-INF3100 – Linear Optimization (continued)
Overlapping courses
- 10 credits overlap with INF-MAT5360 – Mathematical optimization (discontinued).
- 10 credits overlap with MAT4120 – Mathematical Optimization.
- 10 credits overlap with MAT-INF4110 – Mathematical Optimization (discontinued).
- 10 credits overlap with MAT-INF9110 – Mathematical Optimization (discontinued).
Teaching
2 hours of lectures each week.?
The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.
Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.
Examination
Final written exam or final oral exam, which counts 100 % towards the final grade.
The form of examination will be announced by the lecturer by 15 October/15 March for the autumn semester and the spring semester respectively.
This course has 1 mandatory assignment that must be approved before you can sit the final exam.
In addition, each PhD candidate is expected to give an oral presentation on a topic of relevance chosen in cooperation with the lecturer. The presentation has to be approved by the lecturer before you can sit the final exam.
It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: MAT4120 – Mathematical Optimization
Examination support material
No examination support material is allowed.
Language of examination
Subjects taught in English will only offer the exam paper in English.
You may write your examination paper in Norwegian, Swedish, Danish or English.
Grading scale
Grades are awarded on a pass/fail scale. Read more about the grading system.
Resit an examination
This course offers both postponed and resit of examination. Read more:
More about examinations at UiO
- Use of sources and citations
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.