Invitation to Combinatorics
Discrete Mathematics is the study of discrete, as opposed to continuous objects. Often also called combinatorics, it is primarily associated with counting questions.
Importantly, however, it also finds application and stands in relation to other areas, such as representation theory and algebraic geometry. The idea of the course is to provide a panorama of such relations and interplays, ideally giving glimpses into current research.
A particular focus is on learning algebraic, geometric as well as probablistic methods in combinatorics. Specific topics are selected based on current research. Topics discussed include
Probablistic methods and extremal combinatorics,
Algebraic methods and formal power series
Geometric combinatorics and discrete geometry.
Knowledge: To display knowledge and understanding of the course
and content at a level suitable for further studies in Combinatorics.
Skills: At the end of the course the student is expected to be able to
follow and reproduce arguments at a high abstract level corresponding to
the contents of the course.
Competences: At the end of the course the student is expected to be
able to apply basic techniques and results to concrete examples.
4 hours lectures and 3 hours exercises/recitation for 9 weeks
General knowledge in basic algebra and analysis. Additional
basic knowledge in probability theory, groups and rings is ideal.
Lineær algebra i de matematiske fag (LinAlgMat) and Analyse 1 (An1).
- 7,5 ECTS
- Type of assessment
Continuous assessment2-4 in-class oral presentations (depending on the number of enrolled students). The in-class oral presentations are weighted the same and the course performance is assessed as a whole.
- All aids allowed
- Marking scale
- passed/not passed
- Censorship form
- No external censorship
One internal examiner
Criteria for exam assessment
See learning outcome
Single subject courses (day)
- Theory exercises
- Course number
- 7,5 ECTS
- Programme level
- Full Degree Master
- Block 2
- No limits
- Study Board of Mathematics and Computer Science
- Department of Mathematical Sciences
- Faculty of Science
- Karim Alexander Adiprasito (2-6d63426f63766a306d7730666d)
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Courseinformation of students