MDA301 Mathematics V

Faculty of Science
Autumn 2025
Extent and Intensity
0/0. 8 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Michal Veselý, Ph.D. (lecturer)
Guaranteed by
prof. 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
PROGRAM(B-DAE) && MDA101 Mathematics I && MDA102 Mathematics II && MDA201 Mathematics III
The knowledge of MDA101, MDA102, and MDA201 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 last one of the introductory courses of the Mathematics block of the programme. The course aims at development of basic skills and knowledge in all four main approaches: algebraic, geometric, combinatorial, infinitesimal, as well as ability to enjoy the computer assisted solutions to problems. This part focuses on elementary Number Theory, Algebra, and selected applications.
Learning outcomes
ability to combine diverse areas of mathematics in new problems;
understanding the essence and role of mathematical language;
understanding of moderately complicated algorithmic tools of algebraic and combinatorial character
Syllabus
elements of number theory (including applications to encryption algorithms);
selected topics in algebra (Boolean algebras and lattices and posets, divisibility in rings of polynomials, comments towards group theory and finite fields);
selected applications (self-correcting codes, systems of polynomial equations);
elements of logic
Literature
    required literature
  • Jan Slovák et al, Brisk Guide to Mathematics, www.math.muni.cz/~slovak/BG.pdf, Chapters 11-12
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/podzim2025/MDA301/index.qwarp
Teacher's information
https://is.muni.cz/auth/el/sci/podzim2025/MDA301/index.qwarp
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