F3163 Mathematics 3

Faculty of Science
Autumn 1999
Extent and Intensity
2/2/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Václav Holý, CSc. (lecturer)
Guaranteed by
doc. RNDr. Aleš Lacina, CSc.
Department of Plasma Physics and Technology – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Václav Holý, CSc.
Prerequisites (in Czech)
F1161 Mathematics 1 && F3163 Mathematics 3
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Double and triple integrals, area and volume integrals. Methods of calculation, limits in double and triple integrals. Transformation of the variables, the Jacobi determinant. Physical applications. Surface integrals of the 1st and 2nd kind. Definition, basic properties, methods of calculation. Applications in physics. Integral theorems: the Stokes and the Gauss theorems, their application in physics. Eelements of the vectorial analysis: Scalar functions fo a vectorial variable, derivation in a direction, gradient. Vectorial functions of a vectorial variable: divergence, rotation. Differential operators in curvilinear coordinates. The Einstein summation rules. Integral theorems in vector forms. basic properties of sequences and series of numbers and functions. Convergence criteria. Power series, the Fourier series, their application in physics. the Fourier transformation, basic properties, application in physics
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/F3163