MDA202 Mathematics IV

Faculty of Science
Spring 2025
Extent and Intensity
0/0/0. 8 credit(s). Type of Completion: zk (examination).
Asynchronous teaching
Teacher(s)
doc. PaedDr. RNDr. Stanislav Katina, Ph.D. (lecturer)
Deeptajyoti Sen, Ph.D., M.Sc. (lecturer)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Michal Veselý, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Prerequisites
MDA101 Mathematics I && MDA102 Mathematics II
the knowledge of MDA101 and MDA102 is needed
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The fourth basic introductory course of the Mathematics block of the programme. The five courses aim at the development of basic skills and knowledge in all four main approaches: algebraic, geometric, combinatorial, and infinitesimal, as well as the ability to enjoy computer-assisted solutions to problems. This course focuses on discrete mathematics approach.
Learning outcomes
discrete mathematics approach to understanding and solving problems;
graph theory based algorithms and their complexity;
basic orientation in selected application areas
Syllabus
  • elements of graph theory (basic concepts and categories of graphs, connectivity);
    selected basic graph based algorithms;
    intro to computational geometry;
    selected elements of combinatorics
Literature
  • Jan Slovák et al, Brisk Guide to Mathematics, www.math.muni.cz/~slovak/BG.pdf, Chapter 13
Teaching methods
essentially asynchronous approach;
complemented by synchronous communication with the tutor upon agreement
Assessment methods
Written and oral exam. The written exam is for max 40 points. For successful examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
English
Study support
https://is.muni.cz/auth/el/sci/jaro2025/MDA202/index.qwarp
Further Comments
Study Materials
Teacher's information
https://is.muni.cz/auth/el/sci/jaro2025/MDA202/index.qwarp

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