Institute of Information Engineering, Automation, and Mathematics

Syllabus: Differential Equations

Course unit code:
N427D0_4B
Course unit title:
Differential Equations
Mode of completion and Number of ECTS credits:
Exm (2 credits)
Course contents:
1. Selected topics from algebra and mathematical analysis (allowance 1/1)
 
a. Determinants, eigenvalues ​​and engenvectors of matrices
b. Sequences and infinite series of functions

2. Linear differential equations of any order (allowance 4/4)
 
a. Basic properties of solutions of linear differential equations of the n-th order with constant coefficients
b. Solution of homogeneous and non-homogeneous linear differential equations of the n-th order with constant coefficients

3. Systems of differential equations (allowance 4/4)
 
a. The system of linear differential equations of the first order with constant coefficients- the basic properties
b. Homogeneous and non-homogeneous system of linear differential equations of the first order with constant coefficients

4. Partial differential equations (allowance 3/3)
 
a. Linear partial differential equations of the second order
b. Some methods for solving of linear partial differential equations of the second order
c. Heat equation

5. Numerical solution of differential equtions (allowance 1/1)
 
a. Euler method, Runge-Kutta method of solving of differential equation
b. Numerical solving of diffential system

Institute of Information Engineering, Automation and Mathematics was established in 1.1.2006 from two departments: Department of Information Engineering and Process Control and Department of Mathematics.

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