Mathematics for PhD students of Chemistry (academic year 2013-2014, summer semester, since March 27, 2014 - second half of summer semester)

Lecturer: Prof. Vladimír Kvasnička (Faculty of Informatics and IT, Slovak Tech. University, Bratislava)

email: kvasnicka(at)fiit(·)stuba(·)sk

Lecture: Thursday, 11-12.40 p. m., lecture room CH11 (ground floor, block A), Faculty of Chemistry, Slovak Technical University.

Goals of lecture

Familiarize PhD students of Chemistry with basic optimization methods (in particular gradient and stochastic methods)

Annotation of lecture:

1. Basic definitions and theorems of extremes of functions of 1-variable and n-variable.

2. Optimization methods for 1-variable functions

3. Optimization methods for n-variable functions (gradient method and Newton and Raphson method)

4. Simplex method and its modifications

5. Genetic algorithm.

6. Neural networks

Syllabi of lecture:

1^st week (March 27, 2014). Basic definitions and theorems (pdf).

2^nd week (April 3, 2014). Optimization methods of 1-variable functions (pdf).

3^rd week (April 10, 2014). Simplex optimization algorithms, stochastic version (pdf).

4^th week (April 24, 2014). Newton-Raphson optimization algorithm, its linearized version (pdf).

5^th week (May 15, 2014). Darwinian evolution as an optimization process, genetic algorithm (pdf) (paper published in Czechoslovak Journal for Physics, pdf)

6^th week (May 22, 2014). Basic concepts of neural networks (pdf) (pdf, a chapter for prepared book "Logic for AI and Cog. Sci."), prednáška odpadá, som v Trnave na UCM

PhD students list of presentations from lecture "Optimization methods",

summer semester acad. year 2013/2014

#		1	2	3	4	5	6	Essays
1	Ing. Klaučo Martin	·	·					essay
2	Ing. Pavol Námer	·	·	·				essay
3	Ing. arch. Hain Vladimír	·	·	·				essay
4	Ing. Peter Poliak	·	·	·				essay

The files are protected by a password; please contact me for this password.

If you will successfully finish your essay, you have to contact me by email

and send the essay in PDF format as an attachment. When I will accept

your essay I send you a date and place of exam (most probably at FIIT STU).