IV119 Seminar on Discrete Mathematical Methods

Faculty of Informatics
Spring 2018
Extent and Intensity
0/2/0. 2 credit(s) (plus extra credits for completion). Recommended Type of Completion: k (colloquium). Alternate Types of Completion: z (credit).
Teacher(s)
prof. RNDr. Petr Hliněný, Ph.D. (lecturer)
Mgr. David Klaška (seminar tutor)
Supervisor
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science - Faculty of Informatics
Supplier department: Department of Computer Science - Faculty of Informatics
Prerequisites
Basics of undergraduate mathematics (IB000 is enough).
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
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.
Learning outcomes
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.
Syllabus
  • 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.
Literature
    required literature
  • AIGNER, Martin and Günter M. ZIEGLER. Proofs from the book. Berlin: Springer, 1998. viii, 199. ISBN 3540636986. info
Teaching methods
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.
Assessment methods
Students are evaluated by their active participation in lectures, and according to their own presentation of the assigned topic.
Language of instruction
English
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: every week.
Teacher's information
http://www.fi.muni.cz/~hlineny/stud-cz.html#seminarDM
Seminář pro každého, kdo má rád matematiku a matematické důkazy - zvláště ty diskrétní a hezké. Nebojte se jen angličtiny, povídat si můžeme i česky, ale očekáváme studium výhradně anglických materiálů. Všimněte si také, že seminář si můžete zapisovat opakovaně a v dalších letech jsou prezentována jiná témata (v knize jich je mnohem více, než máme během semestru čas projít). Seminář není v centrálním rozvrhu, čas si vybereme po zveřejnění centrálního rozvhrhu podle vašich možností - přispějte návrhy do předmětového fóra.
The course is also listed under the following terms Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017.
  • Enrolment Statistics (Spring 2018, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2018/IV119

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