PřF:MDA201 Mathematics III - Course Information
MDA201 Mathematics III
Faculty of ScienceSpring 2025
- Extent and Intensity
- 0/0/0. 12 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. Dr. Ioannis Chrysikos (lecturer)
prof. RNDr. Jan Slovák, DrSc. (lecturer) - Guaranteed by
- prof. RNDr. Jan Slovák, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Prerequisites
- the knowledge of MDA101 and MDA102 is expected
- Course Enrolment Limitations
- The course is offered to students of any study field.
- 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)
- topology in context of metric spaces (2 weeks);
- 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 plus homework assignments, complete pdf materials, and Sage/Matlab supported tutorials;
complemented by synchronous communication with the tutor upon agreement - Assessment methods
- weekly homework assignments during the semester, including peer to peer reviews;
active presentation of some homeworks to the lecturer/tutor;
two short synchronously written assignments during the term;
one final synchronously written assignment, followed by colloquial discussions/exams in small groups - Language of instruction
- English
- Further Comments
- Study Materials
- Permalink: https://is.muni.cz/course/sci/spring2025/MDA201