Course: Mathematics for physicists III

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Course title Mathematics for physicists III
Course code KFY/MFY3
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory-optional, Optional
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Bartoš Petr, doc. RNDr. Ph.D.
Course content
1. Differential equations - elementary phenomena, methods of solving. 2. Methods of solving of first order differential equations Differential equations with separated variables. 3. Homogenous differential equations. 4. Linear differential first order equations - Lagrange´s method of constant variation, Bernoulli´s substitution. 5. Bernoulli´s differential equation. 6. Exact differential equation. 7. Integral factor. 8. Liner differential equations of higher orders with constant coefficients. 9. Solving of shortened linear differential equation. 10. Solving of complete linear differential equation - Method of constant variation. 11. Solving of complete differential equations - Method of indefinite coefficients. 12. Euler´s differential equation. 13. Differential equation systems - Method of gradual integration. 14. Differential equation systems - Method of elimination.

Learning activities and teaching methods
Monologic (reading, lecture, briefing)
Learning outcomes
Coordinate transformations. Curvilinear coordinates. Derivations and integral transformation. Differential equations and their sets. Theory of functions.
The student applies mathematical system to solve partial and differential equations by means of analytical and numerical methods.
Prerequisites
No prerequisites

Assessment methods and criteria
Combined exam

An active knowledge of the subject matter as presented by the teaching plan of the course.
Recommended literature
  • Kvasnica, J.:. Matematický aparát fyziky, Praha 1998.
  • Rektorys, K. a kol.:. Přehled užité matematiky, Praha 1973.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in technical training (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Teacher training in physics and information technology (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Teacher training in physics (2) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Teacher training in physics (2) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Summer