Basics of undergraduate mathematics (IB000 is enough).
Course Enrolment Limitations
The course is offered to students of any study field.
The aim of this seminar is to introduce interested students into the beauties of mathematics and of clean mathematical proofs. This will teach students "mathematical thinking" - to understand math definitions, statements, and proofs in their full depth, and to make their own new proofs in all areas of mathematics and theoretical computer science.
After finishing this seminar, successful students should be able to understand presented mathematical proofs in their full depth, and to make their own new proofs in areas of mathematics and theoretical computer science.
Selected nice topics from "Proofs from THE BOOK"; TBA each year.
Number theory, Combinatorics, Combinatorial geometry, Graph theory.
Different topics are chosen in subsequent years.
AIGNER, Martin and Günter M. ZIEGLER. Proofs from the book. Berlin: Springer, 1998. viii, 199. ISBN 3540636986. info
This is a seminar; the lectures will consist of informal presentations by the teachers and also by all participating students, and of scientific discussion. Each student is expected to deliver his/her own presentation once during the semester.
Students are evaluated by their active participation in lectures, and according to their own presentation of the assigned topic.