Differential and Difference Equations

Course Code:
11DAD
Academic Degree:
bachelor
Study Programme:
Technology in Transportation and Telecommunications (B 3710)
semesterlanguagestudy field / specialization
5czechBEZ Security Technologies in Transportation - 3708R047
Form of Study:
full-time
Credits:
3
Number of Hours:
2 + 1 hours per week - in full-time study
Type of Course:
obligatory
Course Completion:
credit, exam
Course Tutor:
 
roh  Lectures:
Mgr. Romana Zibnerová
roh  Training Course:
Mgr. Romana Zibnerová
roh  Part-time Study:
Mgr. Romana Zibnerová
Supervising Department:
Department of Applied Mathematics (16111)
Keywords:
difference equation, system of difference equations, differential equation, system of differential equations, power series, initial value problem, boundary value problem, orthogonal systems of functions, Fourier series
Abstract:
Difference equations and its systems. Some solvable types of differential equations of the first order. Linear differential equations of the n-th 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.
Objectives:
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.