|Course title||Mathematics 3|
|Organizational form of instruction||Lecture + Exercise|
|Level of course||Bachelor|
|Year of study||not specified|
|Number of ECTS credits||3|
|Language of instruction||Czech|
|Status of course||Compulsory|
|Form of instruction||Face-to-face|
|Work placements||This is not an internship|
|Recommended optional programme components||None|
ORDINARY DIFFERENTIAL EQUATIONS (ODEs) 1. Introduction. Motivation. 2. First order ODEs, Cauchy initial problem, existence and uniqueness of solutions, direction field. 3. Elementary methods: separable ODEs. 4. Elementary methods: substitutions. 5. Linear first order ODEs, Method of variation of parameters. 6. Linear second order ODEs. 7. Homogeneous linear second order ODEs. 8. Non-homogeneous linear second order ODEs: method of variation of parameters. 9. Non-homogeneous linear second order ODEs: method of variation of undetermined coefficients. DIFFERENCE EQUATIONS 10. First order difference equations, linear first order difference equations. 11. Linear n-th order difference equations: homogeneous equations with constant coefficients. 12. Linear n-th order difference equations: non-homogeneous equations with constant coefficients - method of undetermined coefficients.
|Learning activities and teaching methods|
Monologic Lecture(Interpretation, Training)
Basic skills in the treatment of ordinary differential and difference equations.
Comprehension Basic skills in the treatment of ordinary differential and difference equations.
Differential calculus of functions of one and several variables, integration on the real axis.
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|Assessment methods and criteria|
Mark, Oral exam, Written exam
Credit: the student has to obtain at least half of the possible points in written test. Exam: the student has to understand the subject.
|Study plans that include the course|
|Faculty||Study plan (Version)||Branch of study Category||Recommended year of study||Recommended semester|
|Faculty of Science||Applied Statistics (2015)||Mathematics courses||2||Winter|
|Faculty of Science||Mathematics-Economics of Banking / Insurance Systems (1)||Mathematics courses||2||Winter|