MAT4120 – 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
Students admitted at UiO must?apply for courses?in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.
Nordic citizens and applicants residing in the Nordic countries may?apply to take this course as a single course student.
If you are not already enrolled as a student at UiO, please see our information about?admission requirements and procedures for international applicants.
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 MAT9120 – 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 1 October/1 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.
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: MAT9120 – 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 scale from A to F, where A is the best grade and F is a fail. 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.