F2172 Mathematics 2

Faculty of Science
Spring 2000
Extent and Intensity
2/2/0. 3 credit(s). Type of Completion: -.
Teacher(s)
prof. RNDr. Václav Holý, CSc. (lecturer)
prof. RNDr. Václav Holý, CSc. (seminar tutor)
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.
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
  • Ordinary differential equations of the 1st order: basic properties, exact differential equations, equations with separable variables, linear equations, the Bernoulli equation, differential equations with implicit derivations. Ordinary linear differential equations of the 2nd order: basic properties, linear equations with constant coefficients with and without the absolute term. Method of the variation of the constants, method of variable coefficients. Numerical methods of solving differential equations. Systems of linear differential equations. Physical applications: Mathematical pendulum with dissipation, small oscillations of systems of particles. Path integrals of the 1st and 2nd type: definition, methods of calculation. Independence of the path integral of the 2nd type on the integration trajectory. Linear transformations, eigenvalues and eigenvectors of the transformation. Quadratic forms and their transformations.
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/spring2000/F2172