FY2RC_CMF2 Mathematics Calculus 2

Faculty of Education
Spring 2010
Extent and Intensity
0/2/0. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Petr Sládek, CSc. (lecturer)
Guaranteed by
prof. RNDr. Vladislav Navrátil, CSc.
Department of Physics – Faculty of Education
Contact Person: prof. RNDr. Vladislav Navrátil, CSc.
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
Course objectives
The aim of the course is the practice knowledge gained in the lecture "Mathematics for physicists 2" examples. Examples are selected so that they always, if possible, include some important elements of substance discussed in the lecture.
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. Their calculations. Selected partial differential equations.
  • III. Fundamentals of vector analysis and linear algebra. Operators gradient, curl and divergence. Matrices and determinants.
Literature
  • STARÁ, J., MILOTA, J. : Diferenciální rovnice. Skripta pro IV. ročník tříd gymnázií se zaměřením na matematiku. SPN, Praha 1988.
  • MUSILOVÁ, J.: Proseminář z matematické fyziky, skripta PřF MU Brno, SPN Praha 1984.
  • JIRÁSEK, F., KRIEGELSTEIN, E., TICHÝ, Z.: Sbírka řešených příkladů z matematiky. SNTL, Alfa, Praha 1987.
Assessment methods
Training exercises.
Requirements to obtain credit: (1) participation in the exercises (non-participation in any exercise may be replaced by solving a set of examples when the teacher), (2) to obtain at least 50 percent of available points from the interim test (3) surrender continuously awarded the instructions homework teacher teachers.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
General note: výuka probíhá podle domluvy s učitelem.
The course is also listed under the following terms Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, Spring 2019.
  • Enrolment Statistics (Spring 2010, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2010/FY2RC_CMF2