Invitation to Combinatorics
Course content
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.
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
Knowledge: To display knowledge and understanding of the course
topics
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).
- ECTS
- 7,5 ECTS
- Type of assessment
-
Continuous assessment
- Type of assessment details
- 3 in-class oral presentations of 45 minutes each. The assessment will be based on the two best oral presentations. The in-class oral presentations are weighted the same.
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner
- Re-exam
-
Oral exam
30 minutes oral exam without preparation time and without aids.
Criteria for exam assessment
The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.
Single subject courses (day)
- Category
- Hours
- Lectures
- 36
- Preparation
- 116
- Theory exercises
- 27
- Exam
- 27
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NMAK23008U
- ECTS
- 7,5 ECTS
- Programme level
- Full Degree Master
- Duration
-
1 block
- Placement
- Block 2
- Schedulegroup
-
C
- Capacity
- No limits
The number of seats may be reduced in the late registration period - Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinator
- Karim Alexander Adiprasito (2-7066457266796d33707a336970)
Er du BA- eller KA-studerende?
Kursusinformation for indskrevne studerende