Specialized Module Courses

Area
Digital Transformation

Home » Course Offer at Bachelor Level » Digital Transformation

explanation of terms

face-to-face: students attend on campus
hybrid: T4EU students attend online, home students attend on campus
blended: the course is largely online (for all students), but there may be face-to-face elements, for instance for project work, at the mobility week or a final exam
basic course (BC): knowledge in area of expertise
application course (AC): students apply knowledge to gain experience and generate societal transformative impact in limited scope

subject title

Permutation groups

course description

Content:

group action.
orbits and stabilizers.
extensions to multiply transitive groups.
primitivity and imprimitivity.
permutation groups and graphs.
graph automorphisms, vertex-transitive and Cayley graphs.
graphs with a chosen degree of symmetry.
permutation groups and designs.

Lecturer: Istvan Kovacs
Number of places for T4EU students: 15.

subject title

Galois Theory

course description

Content:

Classical formulas
Polynomials and field theory
Fundamental theorem on symmetric polynomials and discriminants
Roots of unity and cyclotomic polynomials
Solvability by radicals
Basic elements of Galois theory. Automorphisms. Galois extensions.
Fundamental theorem of Galois theory.
Classical theorems by Abel, Galois, Gauss, Kronecker, Lagrange, and Ruffini.
Applications and examples.

Lecturer: Michel Lavrauw
Number of places for T4EU students: 15.

subject title

Cryptography and Computer Safety

course description

Content:

Classical ciphers and historical development
Fiestel’s cipher and AES (Advanced Encryption Standard)
Finite fields and Extended Euclidean algorithm
Public crypto systems, one-way functions and related problems from number theory (testing primality, factorization of integers, discrete logarithm problem)
Hash functions and message integrity (authentication)
Key exchange protocols and identification protocols
Pseudo random number generator
Other protocols (flipping a coin over the telephone, mental poker, secret sharing, verification codes, visual cryptography, zero knowledge proofs)
Public key infrastructure (PKI), certificate authority (CA)
Broader view on cryptography – security of information and network security

Lecturer: Rene Rodriguez Aldama

Number of places for T4EU students: 15.

subject title

Financial Topics in English

course description

This course discusses money, its roles and functions, from a microeconomic and macroeconomic perspective.

The most important topics tackled by the course involve:

Money demand and money supply along with the money creation process and the money multiplier
Models of monetary policy, with a special attention to the role of interest rates and inflation targeting
Transmission mechanisms of monetary policy and the effectiveness of different instruments
Euroarea monetary policy and its specificities.

Lecturer: Ana Grdović Gnip
Number of places for T4EU students: 15.

subject title

Artificial Intelligence

course description

The course relates to ethical, social and legal implications of AI. It challenges the concept of AI by examining its occurrence in domestic, including EU, and international frameworks. Specific research areas cover AI-related concepts, applications across industries and states; environmental consequences of AI; ethics of AI – how far should we trust technology; discriminatory algorithms; data protection law; cybersecurity; AI on trial; weaponising AI; needs for international, EU and domestic regulations. The course encourages students to conduct an independent analysis of voluntary reading material and critically evaluate discussed matters, to research additional data and to clarify arguments and possible answers to the problems posed by machine learning tools.

Lecturer: Dominika Iwan-Sojka
(This course can also be found in the Module “European History, Politics, Culture, Law, Economy”)