Kamis, 17 Juli 2014




Title
Neural Networks and Stringology Seminar
Code
ÚINF/DSN1b/04
Teacher
Andrejková Gabriela
ECTS credits
2
Hrs/week
-/2
Assessment
Assessment
Semester
3
T/L method
Practical
Objective
To present new knowledge in the area of neural networks and stringology in seminar form. To examine the current state of research in the area using conference proceedings and specialised journals.
Content
Seminar is oriented to the individual work of students who are pursuing diploma theses in the area of neural networks and stringology.
Prerequisite courses
ÚINF/DSN1a/04
Alternate courses
ÚINF/DSN1b/01

Automatic rerequisite courses
ÚINF/DSN1a/04
Recommended reading 
Special and research literature connected to Diploma theses according to recommendations of supervisor.
ISO 690: 1987 Documentation - Bibliographic references. Content, form and structure.
ISO 2145: 1978 Documentation - Numbering of divisions and subdivisions in written documents.


Title
Theoretical Informatics Seminar
Code
ÚINF/DST1b/01
Teacher
Geffert Viliam
ECTS credits
2
Hrs/week
-/2
Assessment
Assessment
Semester
3
T/L method
Practical
Objective
To present new knowledge in the area of theoretical informatics in seminar form. To examine the current state of research in the area using conference proceedings and specialised journals.
Content
Seminar is oriented to the individual work of students who are pursuing diploma theses in the area of the theoretical foundations of informatics.
Prerequisite courses
ÚINF/DST1a/01
Automatic prerequisite courses
ÚINF/DST1a/01
Recommended reading 
Special and research literature connected to Diplomaa theses according to recommendations of supervisor.
ISO 690: 1987 Documentation - Bibliographic references. Content, form and structure.
ISO 2145: 1978 Documentation - Numbering of divisions and subdivisions in written documents.


Title
Applied Informatics Seminar
Code
ÚINF/DSA1b/06
Teacher

ECTS credits
2
Hrs/week
-/2
Assessment
Assessment
Semester
3
T/L method
Practical
Objective
To present new knowledge in the area of applied informatics in seminar form. To examine the current state of research in the area using conference proceedings and specialised journals.
Content
Seminar is oriented to the individual work of students who are pursuing diploma theses in the area of information system development, application of combinatorial algorithms, etc.
Recommended reading 
Special and research literature connected to Diploma theses according to recommendations of supervisor.
ISO 690: 1987 Documentation - Bibliographic references. Content, form and structure.
ISO 2145: 1978 Documentation - Numbering of divisions and subdivisions in written documents.

Elective courses

Title
Taxes and Information Systems
Code
ÚMV/DIS/04
Teacher
Cechlárová Katarína, Semanišin Gabriel, Soták Roman
ECTS credits
5
Hrs/week
3/2
Assessment
Examination
Semester
1, 3
T/L method
Lecture, Practical
Content
Information system, subsystem, information system development life cycle. Visual modelling, overview of modelling techniques. Structured methodologies. Algorithms in taxes.
Exclusive courses
ÚMV/DIS/00
Alternate courses
ÚMV/DIS/00
Recommended reading  
Booch G., Jacobson I., Rumbaugh J.: The Unified Modelling Language user Guide, Addison-Wesley Pub. Co. 1998, ISBN 0-20157168-4


Title
Introductory Course in Quantum Computers
Code
ÚFV/KVP/02
Teacher
Mockovčiak Samuel
ECTS credits
3
Hrs/week
2/-
Assessment
Examination
Semester
1, 3
T/L method
Lecture
Content
Reasons to study quantum computers (QC): microtechnology, dissipation of energy, "classical PC" is time-demanding. Quantum mechanics for QC. Hilbert space of quantum states. Operators of observables. EPR paradox. Reversible gates. Qubits as quantum states, their evolution. Quantum memory registers. Logic circuits. Quantum algorithms. Superposition of states and parallelism of computations. Entaglement of quantum states. Teleportation. Quantum information.
Recommended reading 
J. Gruska: Quantum Computing, McGraw Hill, Maidenhead, 1999
C.PWilliams, S.H. Clearwater: Explorations in Quantum Computing,
Springer Verlag, New York, 1998
G.Birkhoff, T.C.Bartee: Aplikovaná Algebra, Alfa, Bratislava, 1981


Title
Object-oriented Programming
Code
ÚINF/OOP1/04
Teacher
Geffert Viliam
ECTS credits
4
Hrs/week
-/4
Assessment
Assessment
Semester
2
T/L method
Practical
Content
Classes and objects; subclasses and inheritance. Instance and class variables and methods. Redefinition of methods, overfitting and encapsulation of data. Abstract classes. Polymorfism and its use in programming. Exceptions. Applets and aplications. Programming in concrete object oriented language.


Title
Informatics for Medicine
Code
ÚINF/MIN1/06
Teacher
Semanišin Gabriel
ECTS credits
2
Hrs/week
-/2
Assessment
Assessment
Semester
1, 3
T/L method
Practical
Objective
To acquaint students with the application of computer science to medicine with emphasis on the specific conditions for the so-called safety-relevant domain.
Content
Software development in the medical domain (radiotherapy and ultrasound). Syngo platform, MS .NET, C#, C++. Development based on so-called "V" development model. An overview of used software tools: RationalRose, RequisitePro, UITA, Caliber, ClearCase. Quality and process management and software company management according to CMMI methodology.

Recommended reading 
http://www.syngo.com
http://www.siemens.com


Title
Numerical Mathematics
Code
ÚMV/NM1/04
Teacher
Horváth Denis
ECTS credits
9
Hrs/week
4/3
Assessment
Examination
Semester
1, 3
T/L method
Lecture, Practical
Objective
To acquaint students with basic numerical methods, with conditions of their use and with errors accompanying approximations by numerical methods. To lead the students to test their own computer programs corresponding to some numerical methods.
Content
Interpolation (ordinary, generalised). Numerical differentiation. Numerical integration (rules, errors). Gaussian quadrature. Interval-halving method. Regula falsi method. Newton's method. Method of successive iterations. Sturm's theorem. Bernoulli's method. Matrix inversion. LU-decomposition. Iterative methods for solving systems of linear equations. Least squares method. Approximating eigenvalues of a symmetric matrix via Jacobi's method.
Exclusive courses
ÚMV/NM1/03
Alternate courses
ÚMV/NM1/03
Recommended reading 
A. Ralston: A First Course in Numerical Analysis, McGraw-Hill, New York 1965
A. Björck and G. Dahlquist:  Numerical Methods, Prentice-Hall, Englewood Cliffs 1974; reprint Dover Publications, Mineola 2003


Title
Development of Web-oriented Database Applications
Code
ÚINF/TDB1/06
Teacher
Semanišin Gabriel
ECTS credits
2
Hrs/week
-/2
Assessment
Assessment
Semester
8, 10
T/L method
Practical
Objective
To teach students modern methods for the development of web-oriented applications with emphasis on database server ORACLE and programming techniques in JAVA.
Content
Oracle SQL Data Manipulation Language. Oracle SQL Data Definition Language. Oracle PL/SQL. Java JDBC API Java Database Connectivity. Java JDBC API. Java JSP. JSTL.
Recommended reading 
 http://www.oracle.com


Title
Business Process Management
Code
ÚINF/BPM1/06
Teacher
Semanišin Gabriel
ECTS credits
2
Hrs/week
-/2
Assessment
Assessment
Semester
2, 4
T/L method
Practical
Objective
To teach students the fundamental modelling techniques for and methods used in Business Process Management.
Content
An application of Model Driven Architecture (MDA) for problems belonging to the area of Business Process Management (BPM). Process modelling. Integration of applications in term of WebServices. Development of Enterprise Service Bus. Generating of algorithms, documentations and test plans. Work with specific software packages.
Recommended reading 
Patterns: SOA with an Enterprise Service Bus in WebSphere Application Server V6, SG24-
6494-00, Redbook, published 26 May 2005, last updated 6 June 2005,
Managing Information Access to an Enterprise Information System Using J2EE and Services
Oriented Architecture, SG24-6371-00, Redbook, published 3 February 2005
BPEL4WS Business Processes with WebSphere Business Integration: Understanding,
Modelling, Migrating, SG24-6381-00, Redbook, published 17 December 2004, last updated 22, December 2004


Title
Introduction to Artificial Intelligence
Code
ÚINF/UUI1/06
Teacher
Geffert Viliam, Schmotzer Milan
ECTS credits
3
Hrs/week
2/-
Assessment
Examination
Semester
4
T/L method
Lecture
Objective
To familiarise students with basic information about artificial intelligence techniques. To give students the opportunity to study the literature of the field more deeply as required.
Content
Goal of artificial intelligence, natural intelligence, edges of agent machine intelligence. Knowledge representation in AI (semantic networks, frames), reasoning. Problem solving in status space: non-informed versus informed deep and wide search, A*, solving of problems described as the game, iterative enhancement algorithms, problem solving by decomposition. Planning and scheduling, constraint logic programming, machine learning; computer vision: image recognition (flag described objects recognition, structural scene analysis), image preprocessing, image representation and description, object recognition. Natural language processing, artificial neural networks, knowledge systems (structure, characteristics, direct and backward reasoning, working with vague information), genetic algorithms, distributed artificial intelligence and multi-agent systems.
Recommended reading 
Russell S.J., Norvig P: Artificial Intelligence: A Modern Approach (2nd Edition), Prentice Hall, 2002, ISBN: 0137903952
Negnevitsky Michael: Artificial Intelligence: A Guide to Intelligent Systems (2nd Edition), Addison Wesley, 2004, ISBN: 0321204662
Luger George: Artificial Intelligence: Structures and Strategies for Complex Problem Solving (5th Edition), Addison Wesley, 2004, ISBN: 0321263189


Title
Introduction to mySAP Technology
Code
ÚINF/SAP1a/06
Teacher
Semanišin Gabriel
ECTS credits
2
Hrs/week
-/2
Assessment
Assessment
Semester
1, 3
T/L method
Practical
Objective
To provide an introduction to mySAP technology.
Content
Defining mySAP technology (products, innovations provided by SAP);
navigation (logon, screen design, calling functions); system kernel (client/server architecture, structure of an SAP system, processing in SAP); communication and integration technologies (remote function calls, internet technologies).
Recommended reading 
http://www.sap.com/



Title
Administration of mySAP System
Code
ÚINF/SAP1b/06
Teacher
Semanišin Gabriel
ECTS credits
2
Hrs/week
-/2
Assessment
Assessment
Semester
2, 4
T/L method
Practical
Objective
To provide an introduction to the administration techniques of mySAP system.
Content
Fundamentals (system logon, configuring SAP logon); starting and stopping (starting SAP/Database, stopping SAP/Database); system configuration (parameters in SAP, parameters in Database); background tasks (scheduling background jobs, monitoring background jobs); database administration (extend tablespaces).
Automatic rerequisite courses
ÚINF/SAP1a/06
Recommended reading 
http://www.sap.com/


Title
Modern Methods of Sofware System Development
Code
ÚINF/MSW1/07
Teacher
Geffert Viliam, Chladný Vladimír, Semanišin Gabriel
ECTS credits
2
Hrs/week
-/2
Assessment
Assessment
Semester
1, 3
T/L method
Practical
Objective
To provide information on the development of software products and the management of large software projects.
Content
Software development life cycle. Initialisation and analyses of a project. Technical specification and implementation. Testing and acceptation procedures. Data transformation and testing. Pilot and parallel operation; support organisation. Modern technologies supporting development of software products. Organisational structure of IT companies.
Recommended reading 
http://murphy2.hab.sk/upjs
http://www.ness-europe.com/
http://www.omg.org
http://www.rational.com
http://www.w3c.org









MATHEMATICS

Study programme   Economical and Financial Mathematics

(Full-time master)

Code   Title   ECTS   Credit   Hours/week Assessment     Recommended Year/Semester

Compulsory courses

ÚMV/PST1b/04
Probability and Statistics
6
2/2
Examination
1/1
ÚMV/VKP1/01
Selected Topics in Probability
5
3/-
Examination
1/1
ÚMV/DPM1a/03
Diploma Work
2
-/-
Recognition
1/1
ÚMV/TH1/01
Game Theory
6
3/1
Examination
1/1
ÚMV/MMF1/01
Mathematical Methods in Finance
6
2/2
Examination
1/1
KFaDF/DF2p/07
History of Philosophy
4
2/1
Examination
1/1
ÚMV/NPR1a/01
Stochastic Processes
16
3/2
Examination
1/2
ÚMV/APS1/99
Applied Statistics
6
3/2
Examination
1/2
ÚMV/DPM1b/01
Diploma Work
2
-/-
Recognition
1/2
ÚMV/MAE1/01
Mathematical Economics
5
3/-
Examination
1/2
ÚMV/ZIP1/99
Life Insurance
1
2/1
Examination
1/2
ÚMV/NPR1b/01
Stochastic Processes 2
6
3/2
Examination
2/3
ÚMV/VP1/01
Computational Statistics and Simulation Methods
5
1/2
Examination
2/3
ÚMV/TS1/01
Control Theory
6
3/1
Examination
2/3
ÚMV/DIS/01
Taxes and Information Systems
5
3/2
Examination
2/3
ÚMV/DPM1c/01
Diploma Work
5
-/-
Recognition
2/3
ÚMV/DPM1d/01
Diploma Work
12
-/-
Recognition
2/4

Compulsory elective courses

ÚMV/THO1/01
Queueing Theory
6
1/-
 Examination
1/1, 2/3
ÚMV/DBS/01
Databases Systems
6
3/1
 Examination
1/2, 2/4
ÚMV/KOA1/01
Combinatorial Algorithms
2
3/-
 Examination
1/2
ÚMV/TKO1/01
Theory of Codes
6
1/-
 Examination
2/3
ÚMV/FAN/06
Functional Analysis
6
3/1
 Examination
1/2

Recommended elective courses

ÚMV/POI1/01
Insurance
3
3/-
 Examination
1/1, 2/3
ÚMV/PRA1/01
Law
3
2/-
 Examination
1/1, 2/3
ÚINF/OPS1/06
Security of Computer Networks
2
2/2
 Examination
2/4
ÚINF/PSO1/03
Presentation Software
2
-/2
 Assessment
1/2
ÚMV/OIM1/00
Evaluation of Investment Possibilities
1
2/-
 Examination
1/2

Course units


Compulsory courses

Title
Probability and Statistics
Code
ÚMV/PST1b/04
Teacher
Skřivánková Valéria, Ohriska Ján
ECTS credits
6
Hrs/week
2/2
Assessment
Examination
Semester
1
T/L method
Lecture, Practical
Content
Random vectors, their distributions and characteristics. Correlation and regression. Random sample, sampling distributions and characteristics. Point estimates and their properties. Maximum likelihood method. Interval estimates; confidence interval construction. Testing of statistical hypothesis; critical region and level of significance. Parametric and nonparametric tests.
Recommended reading 
Mason-Lind.: Statistical Techniques in Business and Economics, Irwin, Inc., 1990


Title
Selected Topics in Probability
Code
ÚMV/VKP1/04
Teacher
Žežula Ivan
ECTS credits
5
Hrs/week
3/-
Assessment
Examination
Semester
1
T/L method
Lecture
Objective
To present the perspective of probability from the standpoint of measure theory and to have students understand the most important results of probability theory.
Content
General definition of probability. Distribution function and its properties. Basic types of multivariate distributions. Conditional distributions and means. Convolutions. Types of convergence of random variables. Strong law of large numbers. Central limit theorems.
Alternate courses
ÚMV/VKP1/99
Recommended reading 
Žežula, I.:  Lecture notes in AIS



Title
Game Theory
Code
ÚMV/TH1/04
Teacher
Cechlárová Katarína, Hajduková Jana
ECTS credits
6
Hrs/week
3/1
Assessment
Examination
Semester
1
T/L method
Lecture, Practical
Objective
To teach the basic methods of game theory and to have students model situations from everyday life as simple games.
Content
Examples of games. Extensive form of a game, value of the game. Von Neumann Morgenstern theory of utility. Matrix games and their solution. Bimatrix games.Theory of negotiations. n-person games: core, Shapley value. Economic applications of game theory.
Alternate courses
ÚMV/TH1/99
Recommended reading 
Binmore, K.: Fun and games, D.C. Heath, 1992
M. Chobot, F. Turnovec, V. Ulašin, Teória hier a rozhodovania, Alfa, Bratislava, 1991
Owen, G.:   Game Theory, Academic Press.
Thomas,   L.C.: Games, Theory and Applications,  Wiley, New York.
Bierman H.S, Fernandez L.,: Game Theory with Economic
Applications, Addison-Wesley, 1998
K. Cechlárová: Lecture notes in AIS


Title
Applied Statistics
Code
ÚMV/APS1/99
Teacher
Žežula Ivan
ECTS credits
6
Hrs/week
3/2
Assessment
Examination
Semester
2
T/L method
Lecture, Practical
Objective
To teach students the most frequently applied statistical methods.
Content
Matrices and geometry of linear space. One- and multidimensional normal distribution and related distributions. General linear model. Regression. Analysis of variance. Analysis of covariance.
Prerequisite courses
ÚMV/PST1b/04
Recommended reading 
Seber: Linear regression analysis, Wiley, 1977



Title
Life Insurance
Code
ÚMV/ZIP1/99
Teacher
Žežula Ivan
ECTS credits
4
Hrs/week
2/1
Assessment
Examination
Semester
2
T/L method
Lecture, Practical
Objective
To teach students the basics of insurance mathematics for life insurance.
Content
Life tables. Computation of premiums; various types of life insurance. Reserve of insurance.
Prerequisite courses
ÚMV/APS1/99
Recommended reading 
Gerber: Life insurance mathematics, Springer, 1997
Bowers et al.: Actuarial mathematics, The Society of Actuaries, 1986


Title
Computational Statistics and Simulation Methods
Code
ÚMV/VP1/04
Teacher
Žežula Ivan
ECTS credits
5
Hrs/week
1/2
Assessment
Examination
Semester
3
T/L method
Lecture, Practical
Objective
To familiarise students with modern software and computational and simulation methods in statistics.
Content
Systems of statistical software. Computation of distribution functions. Matrix computations. Random numbers generation. General and specific methods for generating random numbers with a given distribution. Monte Carlo methods. Resampling. Exploratory data analysis.

Alternate courses
ÚMV/VP1/99
Recommended reading 
Abramowitz, Stegun: Handbook of mathematical functions,
Dover Publications, 1972
Deák: Random number generators and simulation, Akadémiai
kiadó, 1990
Fishman: Monte Carlo. Concepts, Algorithms, and Applications., Springer, 1996

Compulsory elective courses

Title
Theory of Codes
Code
ÚMV/TKO1/04
Teacher
Horňák Mirko
ECTS credits
6
Hrs/week
4/-
Assessment
Examination
Semester
3
T/L method
Lecture
Objective
To acquaint students with the basic principles and theoretical bases of text coding and possibilities for their application.
Content
Monoids. Basic notions of theory of codes. Examples of codes. Important classes of codes. Maximal codes. Submonoids generated by codes. Stable submonoids. Group codes. Free hull of a set of words. Test for recognising codes. Measure of a code. Bernoulli distribution. Dyck code. Complete sets in monoids. Thin codes. Composition of codes. Indecomposable codes.
Recommended reading 
J. Berstel and D. Perrin, Theory of Codes, Academic Press 1985. 


Title
Functional Analysis
Code
ÚMV/FAN/06
Teacher
Doboš Jozef
ECTS credits
6
Hrs/week
3/1
Assessment
Examination
Semester
2
T/L method
Lecture, Practical
Content
Metric spaces and their fundamental properties. Complete metric space and the contrary mapping principle. Normed linear spaces. Hilbert's space. Linear operators. The spectrum of the operator.
Recommended reading 
N. Dunford, J.T. Schwartz, Linear operators, Part I, Generaly theory, New York, 1963
N. Dunford, J.T. Schwartz, Linear operators, Part II, Spectral theory, New York, 1963


Study programme   Informatic Mathematics

(Full-time master)

 Code   Title   ECTS Credit   Hours/week   Assessment    Recommended Year/Semester

Compulsory courses

ÚMV/DPM1a/03
Diploma Work
2
-/-
Recognition
1/1
ÚMV/TIN1/03
Theory of Information
4
2/-
Examination
1/1
ÚINF/MZK/06
Mathematical Foundations of Cryptography
6
3/2
Examination
1/1
KFaDF/DF2p/07
History of Philosophy
4
2/1
Examination
1/1
ÚMV/TKO1/04
Theory of Codes
6
4/-
Examination
1/1, 2 /3
ÚMV/TMT/04
Matroid Theory
5
3/-
Examination
1/1,2/3
ÚINF/VYZ1/04
Computational Complexity
4
2/-
Examination
2/3
ÚINF/KKV1/06
Classical and Quantum Computations
6
3/1
Examination
2/3
ÚMV/KOA1/04
Combinatorial Algorithms
5
3/-
Examination
1/2
ÚMV/SKA1/99
Combinatorial Algorithms Seminar
2
-/2
Assessment
1/2
ÚMV/TZ1/04
Lattice Theory
5
2/1
Examination
1/2, 2/4
ÚMV/DSMIa/04
Seminar on Diploma Work
2
-/2
Recognition
1/2
ÚMV/DPM1b/04
Diploma Work
2
-/-
Recognition
1/2
ÚMV/DSMIb/04
Seminar on Diploma Work
2
-/2
Recognition
2/3
ÚMV/DPM1c/04
Diploma Work
5
-/-
Recognition
2/3
ÚMV/ANP/03
Algorithmically Unsolvable Problems
4
2/-
Examination
2/4
ÚMV/DBS/04
Databases Systems
6
3/1
Examination
2/4
ÚMV/DSMIc/04
Seminar on Diploma Work
2
-/2
Recognition
2/4
ÚMV/DPM1d/04
Diploma Work
15
-/-
Recognition
2/4

Compulsory elective courses

ÚMV/DIS/04
Taxes and Information Systems
5
3/2
Examination
1/1
ÚMV/PMTG/04
Probabilistic Method in Graph Theory
4
2/-
Examination
1/2
ÚMV/GZ/04
Geometric Transformations
5
2/1
Examination
1/1, 2/3
ÚMV/TS1/04
Control Theory
6
3/1
Examination
1/1
ÚMV/TGT/04
Graph Theory
4
2/-
Examination
1/1, 2/3
ÚFV/KVP/02
Introductory Course in Quantum Computers
3
2/-
Examination
1/1, 2/3
ÚFV/ZKM1/01
Introductory Course in Quantum Mechanics for Informatics
4
2/1
Examination
1/1, 2/3
ÚINF/ZNA1/06
Foundations of  Knowledge Systems
4
2/-
Examination
1/1, 2/3
ÚMV/ALA1/04
Applied Linear Algebra
5
2/1
Examination
1/2
ÚMV/FRG1/03
Fractal Geometry
4
2/-
Examination
1/2
ÚINF/KPI1/01
Encoding and Transfer of Information
4
2/1
Examination
1/1
ÚMV/TGR1/04
Theory of Groups
5
2/1
Examination
1/2, 2/4
ÚMV/TH1/04
Game Theory
6
3/1
Examination
2/3

Elective courses

ÚMV/THO1/04
Queueing Theory
6
4/-
Examination
1/1, 2/3
ÚMV/PST1b/04
Probability and Statistics
6
2/2
Examination
1/1
ÚMV/MAE1/04
Mathematical Economics
5
3/-
Examination
1/2
ÚMV/POT1/04
Polyhedral Theory
4
2/-
Examination
1/2
ÚMV/SVK1/01
Student Scientific Conference
4
-/-
Assessment
1/2
ÚMV/TCI/04
Number Theory
4
2/-
Examination
1/2
ÚMV/UAL/04
Universal Algebra
5
3/-
Examination
1/2
ÚMV/SVK1/01
Student scientific conference
4
-/-
Assessment
1/2


 

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