MDA201 Mathematics III

Faculty of Science
Spring 2025
Extent and Intensity
0/0/0. 12 credit(s). Type of Completion: zk (examination).
Asynchronous teaching
Teacher(s)
prof. Mgr. Petr Hasil, 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
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
Continuation of the basic 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. In particular, the course focuses on continuous mathematical modelling concepts and tools.
Learning outcomes
understanding how to employ topology of metric spaces; more advanced concepts in mathematical analysis; more advanced computer assisted continuous modelling
Syllabus
  • topology in context of metric spaces (2 weeks);
    calculus in more variables (constraint extrema, integration, general Stokes theorem - 4 weeks);
    ordinary differential equations (intro to qualitative approach, geometry of ODEs - 3 weeks);
    elements of partial differential equations (elementary classical methods, Cauchy-Kowalewska, etc. - 2 weeks);
    comments towards variational calculus and complex analysis (1 week);
    comments towards complex analysis (1 week)
Literature
  • Jan Slovák et al, Brisk Guide to Mathematics, www.math.muni.cz/~slovak/BG.pdf, Chapters 7-9
Teaching methods
essentially asynchronous approach, based on introductory short presentations;
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/MDA201/index.qwarp
Further comments (probably available only in Czech)
Study Materials
Teacher's information
https://is.muni.cz/auth/el/sci/jaro2025/MDA201/index.qwarp
The full information on study aid is collected in the interactive syllabi of the course, see https://is.muni.cz/auth/el/sci/jaro2025/MDA201/index.qwarp -- the study aid is dynamically completed during the semester, following the needs and feedback of the students.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/spring2025/MDA201