IV119 Seminar on Discrete Mathematical Methods

Faculty of Informatics
Spring 2021
Extent and Intensity
0/2/0. 2 credit(s) (plus extra credits for completion). Recommended Type of Completion: k (colloquium). Other types of completion: z (credit).
Teacher(s)
prof. RNDr. Petr Hliněný, Ph.D. (lecturer)
prof. RNDr. Daniel Kráľ, Ph.D., DSc. (lecturer)
Guaranteed by
prof. RNDr. Petr Hliněný, Ph.D.
Department of Computer Science – Faculty of Informatics
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable of Seminar Groups
IV119/A_ut16h: Tue 16:00–17:50 Virtuální místnost, D. Kráľ
IV119/B_st12h: Wed 12:00–13:50 Virtuální místnost, P. Hliněný
Prerequisites
Basics of undergraduate mathematics (IB000 is enough).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 37 fields of study the course is directly associated with, display
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.
  • See https://www.google.com/search?q=proofs+from+the+book+pdf for a quick overview of this book.
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 mainly by all participating students, and of a scientific discussion. Each student is expected to deliver his/her own presentation at least 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)
Study Materials
The course is taught annually.
Teacher's information
http://www.fi.muni.cz/~hlineny/stud-cz.html#seminarDM
The course is also listed under the following terms Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, Spring 2019, Spring 2020, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2021, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2021/IV119