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Research Group on Discrete Mathematics

Secretariat
Kollegiengebäude Mathematik (20.30)
Room 1.044

Address
Institut für Algebra und Geometrie
Englerstr. 2
D-76131 Karlsruhe

Office hours:
Tu, Th, F 8:30-12:00

Tel.: +49 721 608 47412

Fax.: +49 721 608 46968

Combinatorics (Summer Semester 2017)

Lecturer: Torsten Ueckerdt, Prof. Maria Axenovich Ph.D.
Classes: Lecture (0150300), Problem class (0150310)
Weekly hours: 4+2


NEWS

8.9.2017, 9:45 - 12:45

Schedule
Lecture: Tuesday 9:45-11:15 SR 1.067 Begin: 25.4.2017
Friday 8:00-9:30 SR 1.067
Problem class: Monday 14:00-15:30 Neuer Hörsaal Begin: 8.5.2017
Lecturers
Lecturer Torsten Ueckerdt
Office hours: Mondays 2pm-3pm
Room 1.045 Kollegiengebäude Mathematik (20.30)
Email: torsten.ueckerdt@kit.edu
Lecturer Prof. Maria Axenovich Ph.D.
Office hours: Thursdays 15:40-16:40
Room 1.043 Kollegiengebäude Mathematik (20.30)
Email: maria.aksenovich@kit.edu
Problem classes Jonathan Rollin
Office hours: whenever I am in my office
Room 1.039 Kollegiengebäude Mathematik (20.30)
Email: jonathan.rollin@kit.edu

This lecture is an introduction into combinatorics, a field concerned with the existence, enumeration, analysis and optimization of discrete structures. The students are taught various combinatorial techniques, which can be applied all over mathematics.


The specific topics include:

  • counting and bijections,
  • generating functions,
  • partial orders,
  • combinatorial designs.

Lecture Notes

We offer the notes of this lecture from summer term 2015 here. The lecture will be based on these notes, but some changes are planned.

Please note that the exam will be based on the current lecture, that might contain parts which are not covered by these notes.


Exercise Sheets

We will publish an exercise sheet each week on this website. You may submit written solutions in the problem class on Monday or in the blue box labeled "Combinatorics" in the math building. The solutions will be graded.

Please grab your graded solutions in the problem class or from the box in room/balcony 1.069.

We strongly encourage you to work on these exercises to practice solving problems and to get used to the material from the lecture. Some of the solutions will be discussed in the problem class and published on this website.


Bonus

There is the possibility to obtain a bonus by successfully working the exercise sheets.

In order to receive the bonus you need to obtain at least half of the total amount of points on the first 6 sheets, as well as on the second 6 sheets.

The bonus will improve the grade of a passed exam of this lecture at the end of the semester by one step (0.3 or 0.4).


Exam

The written exam will be

  • on September 8
  • 9:45 - 12:45
  • in the MTI-Hörsaal (building 30.33, room 101, "Messtechnik").

The online registration for the exam is open between July 20 and September 1.
We will publish a seating plan few days before the exam here.


Prerequisites

Basic knowledge of linear algebra.


Language

This lecture will be taught in English.


References

Among others this lectures will be based on the following books:

  • "Introductory Combinatorics" by Richard A. Brualdi
  • "A Course in Combinatorics" by J.H. van Lint and R.M. Wilson.