MA0012 Mathematical Analysis 3

Faculty of Education
Spring 2019
Extent and Intensity
0/2/0. 3 credit(s). Type of Completion: k (colloquium).
Teacher(s)
RNDr. Břetislav Fajmon, Ph.D. (lecturer)
Mgr. Lukáš Másilko (seminar tutor)
Guaranteed by
RNDr. Břetislav Fajmon, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
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
Course objectives
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, linear difference equations, methods of their solution and applications.
Learning outcomes
the subject is not taught in the spring of 2019 -- the first lessons will start in the spring of 2020
Syllabus
  • 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.
  • 5. Basic information on differential equations, motivational problems.
  • 6. Methods of solution for simple difference equations, application.
Literature
    recommended literature
  • KREYSZIG, Erwin. Advanced engineering mathematics. 7th ed. New York: John Wiley & Sons, 1993, xvii, 1271. ISBN 0471599891. info
Teaching methods
Teaching methods chosen will reflect the contents of the subject and the level of students.
Assessment methods
test and colloquium.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2019, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2019/MA0012