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.

Education

MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject

Learning outcome

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 limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
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)
Saved on the 14-02-2024

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