IB000 Mathematical Foundations of Computer Science

Faculty of Informatics
Autumn 2013
Extent and Intensity
2/1. 3 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: z (credit).
Teacher(s)
prof. RNDr. Petr Hliněný, Ph.D. (lecturer)
doc. RNDr. Vojtěch Řehák, Ph.D. (seminar tutor)
RNDr. Ondrej Moriš (seminar tutor)
RNDr. Jakub Gajarský, Ph.D. (seminar tutor)
Mgr. Marek Derňár (seminar tutor)
Mgr. Matěj Klusáček (seminar tutor)
Bc. Tomáš Lamser (seminar tutor)
RNDr. Jaroslav Čechák, Ph.D. (seminar tutor)
Mgr. Pavla Kratochvílová (seminar tutor)
RNDr. Martin Laštovička, Ph.D. (seminar tutor)
Bc. Miloš Lukačka (seminar tutor)
Mgr. Dávid Kaya (seminar tutor)
Mgr. Lukáš Másilko (seminar tutor)
Mgr. Michal Kotrbčík, Ph.D. (seminar tutor)
Alexandru Popa, Ph.D. (seminar tutor)
Mgr. et Mgr. Tomáš Sklenák (assistant)
Guaranteed by
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Wed 8:00–9:50 D2, Wed 8:00–9:50 D3, Wed 8:00–9:50 D1
  • Timetable of Seminar Groups:
IB000/T01: Mon 10:00–11:55 Učebna S9 (55), Wed 18. 9. to Fri 20. 12. Wed 7:00–8:55 Učebna S7 (18), L. Másilko, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
IB000/T02: Tue 17. 9. to Fri 20. 12. Tue 14:00–15:55 Učebna S10 (56), Thu 19. 9. to Fri 20. 12. Thu 12:00–14:00 Učebna S6 (20), L. Másilko, T. Sklenák, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
IB000/01A: each odd Tuesday 14:00–15:50 B410, P. Hliněný
IB000/02A: each even Tuesday 14:00–15:50 B410, A. Popa
IB000/03: each even Monday 14:00–15:50 G331, M. Laštovička
IB000/04: each odd Monday 14:00–15:50 G331, M. Laštovička
IB000/05: each even Tuesday 12:00–13:50 G123, M. Kotrbčík
IB000/06: each odd Tuesday 12:00–13:50 G123, M. Kotrbčík
IB000/07: each even Monday 8:00–9:50 G123, M. Kotrbčík
IB000/08: each odd Monday 8:00–9:50 G123, M. Kotrbčík
IB000/09: each even Thursday 18:00–19:50 B410, J. Gajarský
IB000/10: each odd Thursday 18:00–19:50 B410, J. Gajarský
IB000/11: each even Monday 10:00–11:50 G126, V. Řehák
IB000/12: each odd Monday 10:00–11:50 G126, V. Řehák
IB000/13: each even Monday 18:00–19:50 G123, M. Derňár
IB000/14: each odd Monday 18:00–19:50 G123, M. Derňár
IB000/15: each even Monday 16:00–17:50 G330, D. Kaya
IB000/16: each odd Monday 16:00–17:50 G330, D. Kaya
IB000/17: each even Monday 12:00–13:50 G123, P. Kratochvílová
IB000/18: each odd Monday 12:00–13:50 G123, P. Kratochvílová
IB000/19: each even Tuesday 18:00–19:50 G331, T. Lamser
IB000/20: each odd Tuesday 18:00–19:50 G331, T. Lamser
IB000/21: each even Friday 8:00–9:50 G101, M. Lukačka
IB000/22: each odd Friday 8:00–9:50 G101, M. Lukačka
IB000/23: each even Friday 12:00–13:50 G123, O. Moriš
IB000/24: each odd Friday 12:00–13:50 G123, O. Moriš
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
Course objectives
This course is focused on understanding basic mathematical concepts necessary for study of computer science. This is essential for building up a set of basic concepts and formalisms needed for other theoretical courses in computer science. At the end of this course the successful students should: know the basic mathematical notions; understand the logical structure of mathematical statements and mathematical proofs; know discrete mathematical structures such as finite sets, relations, functions, and graph; be able to precisely formulate their claims, algorithms, and relevant proofs; and apply acquired knowledge in other CS courses as well as in practice later on.
Syllabus
  • The course focuses on understanding basic mathematical tools:
  • Basic formalisms - statements, proofs, and propositional logic.
  • Proof techniques, mathematical induction.
  • Sets, relations, and functions.
  • Binary relations, equivalence.
  • Partial orderings and closures.
  • Properties of functions, composition.
  • Basics of graphs, connectivity, trees.
  • Graph searching, distance, spanning trees.
  • Directed graphs, network flows.
  • Proof techniques for algorithms, induction.
  • Advanced proof techniques for algorithms.
  • Infinite sets and the halting problem.
Literature
    recommended literature
  • HLINĚNÝ, Petr. Úvod do informatiky. Elportál. Brno: Masarykova univerzita, 2010. ISSN 1802-128X. URL info
  • MATOUŠEK, Jiří and Jaroslav NEŠETŘIL. Kapitoly z diskrétní matematiky. 3., upr. a dopl. vyd. V Praze: Karolinum, 2007, 423 s. ISBN 9788024614113. info
Teaching methods
This subject has regular weekly lectures and compulsory bi-weekly tutorials. Moreover, the students are expected to practice at home using online questionnaires, via IS MU. All the study materials and study agenda are presented through the online IS syllabus.
Assessment methods
Students' evaluation in this course consists of (the sum of) three parts which have rougly equal weights: through term evaluation (minimal score is required), "computer" written exam, and voluntary classical written exam.
The semester evaluation is computed as the sum of a certain number of the best out of all term tests, plus possible bonus points for solving voluntary assignments. Details can be found in the IS course syllabus. Then the "computer" exam follows, and its sum with the semester evaluation determines student's success in the course. Optional written exam at the end gives students the opportunity to get higher grades.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
Teacher's information
http://is.muni.cz/el/1433/podzim2013/IB000/index.qwarp
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Spring 2006, Autumn 2006, Autumn 2007, Spring 2008, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2013, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2013/IB000