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PdF:FC1005 Mathematics for Physics 2 - Course Information

## FC1005 Mathematics for Physics 2

**Faculty of Education**

Spring 2023

**Extent and Intensity**- 1/1/0. 3 credit(s). Type of Completion: zk (examination).

Taught in person. **Teacher(s)**- Mgr. Ivana Medková, Ph.D. (lecturer)

doc. RNDr. Petr Sládek, CSc. (lecturer) **Guaranteed by**- doc. RNDr. Petr Sládek, CSc.

Department of Physics, Chemistry and Vocational Education - Faculty of Education

Contact Person: Jana Jachymiáková

Supplier department: Department of Physics, Chemistry and Vocational Education - Faculty of Education **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**- Physics for Education (programme PdF, B-FY3S) (2)
- Physics for Education (programme PdF, B-SPE)
- Lower Secondary School Teacher Training in Physics (programme PdF, B-SPE)
- Lower Secondary School Teacher Training in Physics (programme PdF, B-TV)
- Extension of Teaching Qualification for another subject (programme PdF, C-CV, specialization Lower Secondary School Teacher Training in Physics)

**Course objectives**- The aim of this course is to obtain a clear knowledge bases of higher mathematics. Main objectives can be summarized as follows: to understand the basic elements of higher Mathematics; to learn the necessary mathematical skills for the calculus in Physics ;
**Learning outcomes**- At the end of the course the student will be able to apply the knowledge from the subject Mathematics to specific tasks.
**Syllabus**- I. The functions of several variables. The concept of the functions of several variables, the basic properties of functions. The concept of limits in the direction. Partial derivatives, total differential. Integral calculus of functions of several variables. Line integrals I and II. kind. Area integrals I and II. kind.
- II. Differential equations. The concept of differential equations, initial and boundary conditions, the general and particular solutions. Linear differential equation 1 and 2 Regulations. Their calculations. Selected partial differential equations.
- III. Fundamentals of vector analysis and linear algebra. 1st Operators gradient, curle and divergence. Matrices and determinants.

**Literature**- SLOVÁK, Jan, Martin PANÁK and Michal BULANT.
*Matematika drsně a svižně (Brisk Guide to Mathematics)*. 1st ed. Brno: Masarykova univerzita, 2013. 773 pp. ISBN 978-80-210-6307-5. doi:10.5817/CZ.MUNI.O210-6308-2013.*Základní učebnice matematiky pro vysokoškolské studium*info

*recommended literature*- Jirásek,F.- Čipera,B.- Vacek,M.: Sbírka řešených příkladů z matematiky II. Praha 1989.
- MADELUNG, E. : Príručka matematiky pre fyzikov.Alfa, Bratislava1975.
- STARÁ, J., MILOTA, J. : Diferenciální rovnice. Skripta pro IV. ročník tříd gymnázií se zaměřením na matematiku. SPN, Praha 1988.
- http://amper.ped.muni.cz/sladek
- KVASNICA, J.: Matematický aparát fyziky. Academia. Praha 1989.

*not specified*- SLOVÁK, Jan, Martin PANÁK and Michal BULANT.
**Teaching methods**- lectures and exercises
**Assessment methods**- Written and oral exam, the oral part of 20-30 minutes, literature disallowed. 3 interim written tests.
**Language of instruction**- Czech
**Further comments (probably available only in Czech)**- The course is taught annually.

Information on the extent and intensity of the course: 8 hodin. **Teacher's information**- http://amper.ped.muni.cz/sladek

- Enrolment Statistics (Spring 2023, recent)
- Permalink: https://is.muni.cz/course/ped/spring2023/FC1005