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FEKT-NDREAcad. year: 2010/2011
This course is devoted to some important parts of differential equations - ordinary differential equations and partial differential equations which were not explained in the previous bachelor course. From the area of ordinary differential equations we mean e.g. so called exact equation which is a general type of equations representing large family of equations. Attention will be paid to extension of knowledge concerning linear systems including autonomous systems. From the point of utilization, a series of differential equations is important. Let us mention e.g. so called Bessel's or Laplace equations. One of the main notions in applications of differential equations is the notion of stability, which is included in the course. Several methods for detection of stability are discussed, e.g., the method of Lyapunov functions, being the main methid in stability theory. In the course is frequently used the matrix method and many results are given in terms of matrices. Partial equations serve very often as models of technical phenomena. Except other basic methods of solutions of so called wave equation, heat equation and Laplace equation will be presented. Computer exercises focuse attention to master modern mathematical software for solving various classes of differential equations.
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branch MN-SVE , 1 year of study, winter semester, theoretical subjectbranch MN-KAM , 1 year of study, winter semester, theoretical subjectbranch MN-EEN , 1 year of study, winter semester, theoretical subjectbranch MN-TIT , 1 year of study, winter semester, theoretical subjectbranch MN-EVM , 1 year of study, winter semester, theoretical subjectbranch MN-EST , 1 year of study, winter semester, theoretical subjectbranch MN-MEL , 1 year of study, winter semester, theoretical subject
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Exercise in computer lab