MA0012 Mathematical Analysis 3

Faculty of Education
Spring 2026
Extent and Intensity
0/2/0. 3 credit(s). Type of Completion: k (colloquium).
In-person direct teaching
Teacher(s)
doc. Dr. András Rontó (lecturer)
Mgr. Lukáš Másilko (seminar tutor)
doc. Dr. András Rontó (seminar tutor)
Guaranteed by
doc. Dr. András Rontó
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
MA0012/T01: Wed 25. 2. to Fri 29. 5. Wed 8:00–9:50 108, L. Másilko, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
MA0012/01: Mon 12:00–13:50 D42 učebna, A. Rontó
MA0012/02: Mon 14:00–15:50 D42 učebna, A. Rontó
Prerequisites
The subject is aimed at acquiring knowledge and skills in the theory of differential and difference equations. THE PREREQUISITE IS: THE KNOWLEDGE OF THE SUBJECTS "MATHEMATICAL ANALYSIS 1" AND "MATHEMATICAL ANALYSIS 2".
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
Abstract
At the end of the course the SS will know basic concepts of the theory of differential and difference equations, especially: initial value problem, separable ordinary differential equations (ODEs), homogeneous ODEs, first-order ODEs, second-order linear ODEs especially with constant coefficients, methods of their solution and applications. difference calculus. The SS will actively use the concepts in problem solving, in their follow-up study at the faculty and in their own lessons as school teachers.
Learning outcomes
After the completion of the course the students will a) acquire knowledge in the theory of ordinary differential equations; b) acquire skills in solving ordinary differetial equations (= ODE), such as separable ODEs, ODEs solved using substitution, linear ODEs of first order, linear ODEs of higher order with constant coefficients; c) have an insight into the role of ODEs in mathematical modelling.
Key topics
  • 1. Basic notions from the theory of ordinary differential equations (ODEs), motivation, geometrical meaning, initial value problem.
  • 2. Separable ODEs, homogeneous ODEs, linear ODEs of first order, methods of solution.
  • 3. Linear differential equations of second order, especially with constant coefficients, methods of their solution.
  • 4. Application of differential equations.
Study resources and literature
    recommended literature
  • KELLEY, Walter G. and Allan C. PETERSON. Difference equations : an introduction with applications. Boston: Academic Press, 1991, xi, 455. ISBN 0124033253. info
  • RÁB, Miloš. Metody řešení diferenciálních rovnic. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1989, 68 s. info
Approaches, practices, and methods used in teaching
Teaching methods chosen will reflect the contents of the subject and the level of students.
Method of verifying learning outcomes and course completion requirements
Check-up test and colloquium. The students will be allowed to sit for the colloquium after a successful completion of the check-up test.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025, Spring 2027.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/spring2026/MA0012