## 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
Timetable of Seminar Groups
FC1005/PrezPred01: Thu 10:00–10:50 učebna 3, I. Medková, P. Sládek
FC1005/PrezSem01: Thu 11:00–11:50 učebna 3, I. Medková, P. Sládek
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
there are 6 fields of study the course is directly associated with, display
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
not specified
• 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.
• KVASNICA, J.: Matematický aparát fyziky. Academia. Praha 1989.
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