- Course unit code:
- N427D0_4B
- Course unit title:
- Differential Equations
- Mode of delivery, planned learning activities and teaching methods:
- lecture – 1 hour weekly (on-site method)

laboratory practice – 1 hour weekly (on-site method) - Credits allocated:
- 2
- Recommended semester:
- Chemistry, Medical Chemistry and Chemical Materials – bachelor (full-time, attendance method), 5. semester
- Level of study:
- 1.
- Prerequisites for registration:
- none
- Assesment methods:
- test
- Learning outcomes of the course unit:
- Acquire the theoretical foundations of differential equations, ordinary and partial differential equations and numerical solutions of differential equtions using computer.
- 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 - Recommended or required reading:
- Basic:
- KOLESÁROVÁ, A. – BALÁŽ, V. Matematika II. Bratislava: Slovenská technická univerzita v Bratislave, 2011. 261 s. ISBN 978-80-227-3493-6.
- KREYSZIG, E. Advanced Engineering Mathematics 7th Edition. Toronto: John Wiley & Sons, Inc., 1993.

Recommended:- Borelli, R.– Coleman, C. Differential equations, A Modeling Perspective. New York, Toronto: John Wiley & sons, 2004. 453 s. ISBN 0-471-43332-2.

- Language of instruction:
- Slovak, English
- Assessed students in total:
- 4
### A 50 %

### B 25 %

### C 25 %

### D 0 %

### E 0 %

### FX 0 %

- Name of lecturer(s):
- V. Baláž (2020/2021 – Winter)

V. Baláž (2019/2020 – Winter)

Ľ. Horanská (2015/2016 – Winter) - Course supervisor:
- doc. RNDr. Vladimír Baláž, CSc.
- Last modification:
- 19. 9. 2019