Differential and Difference Equations
Code  Completion  Credits  Range  Language 

11DAD  Z,ZK  3  2+1  Czech 
 Course guarantor:
 Lecturer:
 Tutor:
 Supervisor:
 Department of Applied Mathematics
 Synopsis:

Difference equations and its systems. Some solvable types of differential equations of the first order. Linear differential equations of the nth order. Methods for solution of the homogeneous equation, solution of inhomogeneous equation by means of variation of constants. Power series and their use for solution of differential equation. Boundary value problem. Eigennumbers and function for differential equation. Fourier series of function.
 Requirements:

differential calculus, integral calculus, differential equations
 Syllabus of lectures:
 Syllabus of tutorials:
 Study Objective:

Some methods for solving difference and differential equations and its systems. Relationship between the boundary value problem for differential equation and minimum of energy functional.
 Study materials:

Nagy, J., Navrátil, O.: Diferenciální s diferenční rovnice, skriptum FD ČVUT v Praze, 2005
Nagy, J.: Elementární metody řešení obyčejných diferenciálních rovnic, SNTL, Praha 1983
Rektorys, K. a kol.: Přehled užité matematiky, SNTL, Praha, 1968
 Note:
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 The course is a part of the following study plans: