Foundations of informatics - a bridging course

Corresponding entry in b-it IPEC, Aachen Campus, Bonn Computer Science, Bonn Mathematics, Bonn University.

Responsible

Prof. Dr. Joachim von zur Gathen
Prof. Dr. Berthold Vöcking

Lecture

Michael Nüsken
Laila El Aimani
Thomas Noll
Walter Unger

Time & Place

12 - 15 October 2010, b-it bitmax (Michael Nüsken).
18 - 22 October 2010, b-it bitmax (Laila El Aimani).
14 - 18 March 2011, b-it Marschallsaal (Thomas Noll).
28 March - 01 April 2011, b-it Marschallsaal (Walter Unger).

Schedule: Mon-Fri 9⁰⁰ - 12³⁰ and 14⁰⁰ - 16⁰⁰, each block includes 30 minutes break. (If a course week advances fast, Friday afternoon may be free.)

Exam

Exam1: Friday, 1 April 2011, 14⁰⁰, b-it Marschallsaal.
Post-Exam1: Tuesday, 3 May 2011, 15³⁰, b-it 1.25.
Exam2 (second chance): Tuesday, 31 May 2011, 15⁰⁰, RWTH Aachen, room Hörsaal AH 2.
Post-Exam2: Tuesday, 5 July 2011, 15⁰⁰, b-it 1.25.

The exam is about the entire course. Please note that the second exam is for repetitions.

Credits

For some MI-students this course is obligatory, for the others it's optional. There are no credits for this course.
There will be a written exam after the end of the complete course.

Week 1 - Mathematical tools

This week will deal essentially with three subjects:

Linear Algebra (Gaussian elimination, Gauß-Jordan-algorithm, expansion, dim ker A + dim im A = n, ...),
Probabilities (Definitions, conditional probabilities, random variables, expected runtime of a random exit loop, some applications, ...),
Integers modulo N (Definition, inversion and extended Euclidean algorithm, square and multiply, exponentiation, Theorem of Lagrange, of Euler and Fermat's little theorem, RSA correctness and efficiency, ...).

The screen notes (PDF) contain all handwritten stuff (last updated 15 October 2010, 16:30).

Week 2 - Algorithms and Analysis

Week 3 - Regular Languages, Context-Free Languages, Processes and Concurrency

There is additional information about this part.

Week 4 - Complexity

Allocation

equivalent V4+Ü4
Note that all Media informatics courses only start in the third week of the lecturing period, so that everybody can participate in this course.