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

13 - 16 October 2009, b-it bitmax (Michael Nüsken).
19 - 23 October 2009, b-it bitmax (Laila El Aimani).
22 - 26 February 2010, b-it Rheinsaal (Thomas Noll).
1 - 5 March 2010, b-it Rheinsaal (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

t.b.a. (Standard choice: last Friday of week 4, 14⁰⁰, b-it ??.)

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, ...).

Screen notes from the course: PDF.