Lecturer(s)


Kříž Pavel, RNDr. Ph.D.

Blažek Josef, doc. RNDr. CSc.

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


Kopáček J.:. Matematická analýza nejen pro fyziky II. Matfyzpress, Praha, 2005..

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..
