FI:IB000 Math. Foundations of CS

IB000 Mathematical Foundations of Computer Science

Faculty of Informatics
Autumn 2016

Extent and Intensity

2/2/0. 3 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: z (credit).

Teacher(s)

Guaranteed by

prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Supplier department: Department of Computer Science – Faculty of Informatics

Timetable

Tue 10:00–11:50 D1, Tue 10:00–11:50 D3

Timetable of Seminar Groups:

IB000/A1: Thu 12:00–13:50 C416, D. Klaška
IB000/A2: Wed 10:00–11:50 C416, D. Klaška
IB000/E1: Tue 14:00–15:50 B411, A. Blumensath
IB000/E2: Mon 16:00–17:50 C511, F. Dupont Dupuis
IB000/01: Thu 10:00–11:50 C511, J. Obdržálek
IB000/02: Tue 12:00–13:50 A319, J. Obdržálek
IB000/03: Wed 8:00–9:50 C525, M. Hlaváčik
IB000/04: Wed 14:00–15:50 C525, J. Bouda
IB000/05: Tue 8:00–9:50 B410, P. Matula
IB000/06: Thu 12:00–13:50 B410, P. Matula
IB000/07: Mon 16:00–17:50 B410, M. Maška
IB000/08: Thu 8:00–9:50 C511, D. Svoboda
IB000/09: Tue 12:00–13:50 A217, N. Beneš
IB000/10: Mon 14:00–15:50 A320, A. Rambousek
IB000/11: Tue 14:00–15:50 C511, L. Matyska
IB000/12: Thu 18:00–19:50 C416, M. Bezek
IB000/13: Mon 18:00–19:50 C416, J. Čechák
IB000/14: Wed 18:00–19:50 B411, J. Čechák
IB000/15: Mon 14:00–15:50 B410, T. Novotný
IB000/16: Wed 8:00–9:50 B411, T. Novotný
IB000/17: Mon 18:00–19:50 C511, M. Korbela
IB000/18: Mon 12:00–13:50 A218, J. Lédl

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 19 fields of study the course is directly associated with, display

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 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
Information on completion of the course: Pozor, ukončení zápočtem lze volit pouze ve výjimečných případech, kdy to umožňuje váš studijní program.
The course is taught annually.

Listed among pre-requisites of other courses

Teacher's information

http://is.muni.cz/el/1433/podzim2015/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 2013, Autumn 2014, Autumn 2015, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

Enrolment Statistics (Autumn 2016, recent)
Permalink: https://is.muni.cz/course/fi/autumn2016/IB000

FI:IB000 Math. Foundations of CS - Course Information

IB000 Mathematical Foundations of Computer Science

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