SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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Physics for mathematics teachers - OKBM1M133A
Title: Fyzika pro učitele matematiky
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2023
Semester: winter
E-Credits: 3
Examination process: winter s.:
Hours per week, examination: winter s.:0/0, C [HT]
Extent per academic year: 8 [hours]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: combined
Teaching methods: combined
Note: course can be enrolled in outside the study plan
enabled for web enrollment
priority enrollment if the course is part of the study plan
Guarantor: doc. RNDr. Antonín Jančařík, Ph.D.
Pre-requisite : OKBM1M103A
Annotation -
Last update: doc. RNDr. Antonín Jančařík, Ph.D. (29.10.2019)
It is said that the language of physics is mathematics. The aim of the course Physics for Teachers of Mathematics is not to study this field systematically, but it brings to the students a number of physical examples, especially from mechanics, in which the concepts and methods of mathematical analysis, especially differential equations, can be used.
Aim of the course -
Last update: doc. RNDr. Antonín Jančařík, Ph.D. (29.10.2019)

The aim of the course is to show students on a number of examples of applications of mathematics (especially differential equations) in physics.

Literature -
Last update: RNDr. František Mošna, Ph.D. (09.09.2020)

• Havránek, A., 2002. Klasická mechanika I. Hmotný bod a tuhé těleso. Praha: Karolinum.

• Kvasnica, J., 1997. Matematický aparát fyziky. Praha: Academia.

• Carrol, R.W., 1988. Mathematical physics. Amsterdam: Elsvier.

• Purcell, E.H.; Morin, D. J., 2013. Electricity and magnetism. Cambridge: Cambridge University Press.

• Mošna, F., 2019. Obyčejné diferenciální rovnice. Praha: PedFUK.

Syllabus -
Last update: RNDr. František Mošna, Ph.D. (09.09.2020)

• vectors in physics, their properties and interpretation
• describing of a mass motion
• Newton's and Kepler's laws, their relationship
• mathematical pendulum
• reactive movement
• concentration of solutions
• Lagrange equations
• parabolic mirror
• electrical circuits solved by differential equations and complex numbers

Course completion requirements -
Last update: RNDr. František Mošna, Ph.D. (06.10.2022)
  • credit requirements: The subject ends with a credit, for which it is a necessary active participation in classes and successful completion of a short final test is necessary, (test consists of simple examples of a mass movement, calculation of curvature, etc.).

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