Předmět Mathematics (2) (FAST-A25)

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Materiál	Typ	Datum	Počet stažení

Cíl

After the course, the students should know how to work with number and functional sequences and series, solve the basic problems in calculus of two- and more functions and grasp the basic methods used to solve ordinary differntial equations.

Osnova

Week 1 Number sequences number seriesWeek 2 Convergence testsWeek 3 Function sequences and seriesWeek 4 Power series, Taylor, MacLaurin seriesWeek 5 Quadrics, basics of functions in two and more variablesWeek 6 Limits, maxima/minima of functions in two variablesWeek 7 N-th degree differential, Taylor series of functions in n variablesWeek 8 Basics of ODE, first order ODEWeek 9 Differential equations with separated variablesWeek 10 Transformations to DE with separated variables, 1st orderlinear ODEWeek 11 N-th order ODE, systems of ODEWeek 12 Systems of ODEWeek 13 Boundary problems in ODEThe time schedule of seminars follows that of lectures

Literatura

Lang S.: Calculus of Several Variables. Springer 1996Pták, P.: Calculus II. ČVUT Praha 1994Salas S.L., Hille E.: Calculus - One and Several Variables. John Wiley & Sons N.Y. 9th Edition 2003

Požadavky

Basics of calculus and linear algebra

Garant

RNDr. Karel Mikulášek, Ph.D.

Vyučující

RNDr. Karel Mikulášek, Ph.D.