Course: Mathematics for physicists II

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Course title Mathematics for physicists II
Course code KFY/MFY2
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 2
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Kříž Pavel, RNDr. Ph.D.
Course content
1. Complex numbers 2. Complex vectors 3. Solving alternative current circuits using the area of complex numbers 4. Matrix 5. Determinants 6. Solving algebraic equations 7. Numerical methods applied in solving equations 8. Differential calculus of functions of more real variables 9. Elementary phenomena of vector analysis 10. Scalar field, gradient 11. Vector field, divergention, rotation 12. Differential equations - elementary phenomena 13. The first order differential equations 14. The second order differential equations

Learning activities and teaching methods
Monologic (reading, lecture, briefing)
Learning outcomes
Complex numbers, alternating currents solved by the methods of complex numbers, differentials, examples of their applications in the field of physics. Basics of vector analysis, differential equations and their classification, methods of solving of basic dif. equations, their applications in the field of physics.
The student is capable of solving simple application tasks in Physics using taught mathematic system.
Prerequisites
Basic knowledge of the mathematics at the level of secondary school.

Assessment methods and criteria
Combined exam, Test

An active knowledge of the subject matter as presented by the teaching plan of the course.
Recommended literature
  • Grega, J., Kluvanec, D., Rajčan, E.:. Matematika pre fyzikov (Bratislava, 1975).
  • Kopáček J.:. Matematická analýza nejen pro fyziky II. Matfyzpress, Praha, 2005..
  • Kopáček:. Matematika pro fyziky I. - IV. (SPN Praha 1979).
  • Kvasnica J.:. Matematický aparát fyziky. Academia, Praha, 2004..
  • Ráb M.:. Komplexní čísla v elementární matematice. Munipress, Brno, 1996..
  • Ráb M.:. Metody řešení obyčejných diferenciálních rovnic. Munipress, Brno, 2004..
  • Ungerman a kol.:. Matematika pro posluchače fyziky na PF, (SPN 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 (2) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in technical training (2) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in physics (2) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in physics (2) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Teacher training in physics and information technology (1) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter