Study programme Modelling and Data Science (in English)

2026/27, first-cycle programme (inżynier), full-time studies

A graduate of the Modelling and Data Science programme is prepared to work with advanced technologies in international teams carrying out projects on a European and global scale. They possess knowledge and skills in modelling processes based on the fundamental rules that govern them (especially the laws of physics in the case of modelling in science and technology), data analysis, computer simulations, as well as the basics of machine learning and artificial intelligence. This allows them to use modern analytical and modelling tools effectively.

In addition to technical competencies, the graduate has broad perspectives gained through courses in fields where data analysis and modelling play a key role, such as the physics of modern materials, nanotechnology, optoelectronics and photonics. They also develop soft skills, including effective communication and teamwork.

The competencies acquired during the programme enable the graduate to continue their education at the master’s level or to work as a data analyst, modelling specialist or data engineer. A distinctive feature of graduates of the Modelling and Data Science programme is their ability to combine fundamental laws and models with data‑driven methods in so‑called hybrid modelling, which is becoming increasingly popular in scientific, industrial, financial and IT sectors.

Chair of the Programme Board: dr inż. Łukasz Piskorski

View full programme description

The programme was approved by Senate Resolution No. 28/2026 of 25 February 2026.

List of courses - Winter semester, 2026/27
Course	Number of hours	ECTS points	Form of verification	Obligatory
Course details Tutorials: 45 h Lecture: 45 h ECTS points: 7 Form of verification: Exam Obligatory: Obligatory	Tutorials: 45 Lecture: 45	7	Exam	Obligatory
Course details Tutorials: 40 h Laboratory classes: 30 h Lecture: 25 h ECTS points: 6 Form of verification: Exam Obligatory: Obligatory	Tutorials: 40 Laboratory classes: 30 Lecture: 25	6	Exam	Obligatory
Course details Tutorials: 15 h Laboratory classes: 15 h E-learning: 10 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 15 Laboratory classes: 15 E-learning: 10	3	Graded assignment	Obligatory
Course details Tutorials: 40 h Project work: 15 h E-learning: 5 h ECTS points: 5 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 40 Project work: 15 E-learning: 5	5	Graded assignment	Obligatory
Course details Laboratory classes: 45 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory	Laboratory classes: 45	3	Graded assignment	Obligatory
Course details Tutorials: 20 h Lecture: 10 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 20 Lecture: 10	2	Graded assignment	Obligatory
Course details Tutorials: 30 h ECTS points: 1 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 30	1	Graded assignment	Obligatory
Course details ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory group	Tutorials: 60	3	Graded assignment	Obligatory group
The student chooses one module from the group.
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Sum	450	30

List of courses - Summer semester, 2026/27
Course	Number of hours	ECTS points	Form of verification	Obligatory
Course details Tutorials: 45 h Lecture: 45 h ECTS points: 7 Form of verification: Exam Obligatory: Obligatory	Tutorials: 45 Lecture: 45	7	Exam	Obligatory
Course details Tutorials: 20 h Lecture: 10 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 20 Lecture: 10	2	Graded assignment	Obligatory
Course details Tutorials: 30 h Laboratory classes: 20 h Lecture: 30 h ECTS points: 5 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 30 Laboratory classes: 20 Lecture: 30	5	Graded assignment	Obligatory
Course details Laboratory classes: 30 h Lecture: 30 h ECTS points: 4 Form of verification: Graded assignment Obligatory: Obligatory	Laboratory classes: 30 Lecture: 30	4	Graded assignment	Obligatory
Course details Laboratory classes: 45 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory	Laboratory classes: 45	3	Graded assignment	Obligatory
Course details Tutorials: 15 h Laboratory classes: 15 h Lecture: 30 h ECTS points: 6 Form of verification: Exam Obligatory: Obligatory	Tutorials: 15 Laboratory classes: 15 Lecture: 30	6	Exam	Obligatory
Course details Seminar: 3 h Lecture: 3 h ECTS points: 1 Form of verification: Graded assignment Obligatory: Obligatory	Seminar: 3 Lecture: 3	1	Graded assignment	Obligatory
Course details ECTS points: 2 Form of verification: Exam Obligatory: Obligatory group	Tutorials: 30	2	Exam	Obligatory group
The student chooses one module from the group.
Course details Tutorials: 30 h ECTS points: 2 Form of verification: Exam Obligatory: Optional	Tutorials: 30	2	Exam	Optional
Course details Tutorials: 30 h ECTS points: 2 Form of verification: Exam Obligatory: Optional	Tutorials: 30	2	Exam	Optional
Physical Education 1 Course details Tutorials: 30 h ECTS points: 0 Form of verification: Pass Obligatory: Obligatory	Tutorials: 30	-	Pass	Obligatory
Sum	431	30

List of courses - Winter semester, 2027/28
Course	Number of hours	ECTS points	Form of verification	Obligatory
Course details Tutorials: 30 h Lecture: 30 h ECTS points: 4 Form of verification: Exam Obligatory: Obligatory	Tutorials: 30 Lecture: 30	4	Exam	Obligatory
Course details Tutorials: 30 h Lecture: 15 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 30 Lecture: 15	3	Graded assignment	Obligatory
Course details Tutorials: 30 h Laboratory classes: 20 h Lecture: 30 h ECTS points: 6 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 30 Laboratory classes: 20 Lecture: 30	6	Graded assignment	Obligatory
Course details Laboratory classes: 15 h Project work: 15 h Lecture: 15 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory	Laboratory classes: 15 Project work: 15 Lecture: 15	3	Graded assignment	Obligatory
Course details Laboratory classes: 30 h Lecture: 30 h ECTS points: 5 Form of verification: Exam Obligatory: Obligatory	Laboratory classes: 30 Lecture: 30	5	Exam	Obligatory
Course details Project work: 30 h ECTS points: 5 Form of verification: Graded assignment Obligatory: Obligatory subjects to choose from	Project work: 30	5	Graded assignment	Obligatory subjects to choose from
Course details Seminar: 3 h Lecture: 3 h ECTS points: 1 Form of verification: Graded assignment Obligatory: Obligatory	Seminar: 3 Lecture: 3	1	Graded assignment	Obligatory
Course details ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory group	Tutorials: 60	3	Graded assignment	Obligatory group
The student chooses one module from the group.
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Physical Education 2 Course details Tutorials: 30 h ECTS points: 0 Form of verification: Pass Obligatory: Obligatory	Tutorials: 30	-	Pass	Obligatory
Sum	416	30

List of courses - Summer semester, 2027/28
Course	Number of hours	ECTS points	Form of verification	Obligatory
Course details Tutorials: 30 h Lecture: 30 h ECTS points: 5 Form of verification: Exam Obligatory: Obligatory	Tutorials: 30 Lecture: 30	5	Exam	Obligatory
Course details Tutorials: 30 h Project work: 15 h Lecture: 45 h ECTS points: 7 Form of verification: Exam Obligatory: Obligatory	Tutorials: 30 Project work: 15 Lecture: 45	7	Exam	Obligatory
Course details Laboratory classes: 15 h Project work: 30 h Lecture: 15 h ECTS points: 4 Form of verification: Graded assignment Obligatory: Obligatory	Laboratory classes: 15 Project work: 30 Lecture: 15	4	Graded assignment	Obligatory
Course details Laboratory classes: 25 h Lecture: 5 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Obligatory	Laboratory classes: 25 Lecture: 5	2	Graded assignment	Obligatory
Course details Laboratory classes: 15 h Project work: 15 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Obligatory	Laboratory classes: 15 Project work: 15	2	Graded assignment	Obligatory
Course details Project work: 40 h ECTS points: 6 Form of verification: Graded assignment Obligatory: Obligatory subjects to choose from	Project work: 40	6	Graded assignment	Obligatory subjects to choose from
Course details Seminar: 3 h Lecture: 3 h ECTS points: 1 Form of verification: Graded assignment Obligatory: Obligatory	Seminar: 3 Lecture: 3	1	Graded assignment	Obligatory
Course details ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory group	Tutorials: 60	3	Graded assignment	Obligatory group
The student chooses one module from the group.
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Course details Tutorials: 60 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 60	3	Graded assignment	Optional
Physical Education 3 Course details Tutorials: 30 h ECTS points: 0 Form of verification: Pass Obligatory: Obligatory	Tutorials: 30	-	Pass	Obligatory
Sum	406	30

List of courses - Winter semester, 2028/29
Course	Number of hours	ECTS points	Form of verification	Obligatory
Course details Tutorials: 15 h Project work: 30 h Lecture: 5 h ECTS points: 4 Form of verification: Exam Obligatory: Obligatory	Tutorials: 15 Project work: 30 Lecture: 5	4	Exam	Obligatory
Course details Tutorials: 30 h Lecture: 30 h ECTS points: 4 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 30 Lecture: 30	4	Graded assignment	Obligatory
Course details Laboratory classes: 15 h Lecture: 30 h ECTS points: 4 Form of verification: Graded assignment Obligatory: Obligatory	Laboratory classes: 15 Lecture: 30	4	Graded assignment	Obligatory
Course details Project work: 30 h Lecture: 15 h ECTS points: 4 Form of verification: Graded assignment Obligatory: Obligatory	Project work: 30 Lecture: 15	4	Graded assignment	Obligatory
Course details Laboratory classes: 30 h Lecture: 15 h ECTS points: 4 Form of verification: Graded assignment Obligatory: Obligatory	Laboratory classes: 30 Lecture: 15	4	Graded assignment	Obligatory
Course details Tutorials: 15 h Laboratory classes: 30 h Lecture: 15 h ECTS points: 5 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 15 Laboratory classes: 30 Lecture: 15	5	Graded assignment	Obligatory
Course details Project work: 45 h Lecture: 15 h ECTS points: 5 Form of verification: Graded assignment Obligatory: Obligatory	Project work: 45 Lecture: 15	5	Graded assignment	Obligatory
Sum	365	30

List of courses - Summer semester, 2028/29 See additional information
Course	Number of hours	ECTS points	Form of verification	Obligatory
Mobility Semester Course details Total number of contact hours: 375 h ECTS points: 30 Form of verification: Graded assignment Obligatory: Obligatory subjects to choose from	Total number of contact hours: 375	30	Graded assignment	Obligatory subjects to choose from
Sum	375	30

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Students go to a selected university and study according to an individually prepared course program. The semester develops students’ soft skills and their individual interests.

List of courses - Winter semester, 2029/30
Course	Number of hours	ECTS points	Form of verification	Obligatory
Course details Laboratory classes: 30 h Lecture: 20 h ECTS points: 4 Form of verification: Exam Obligatory: Obligatory	Laboratory classes: 30 Lecture: 20	4	Exam	Obligatory
Course details Laboratory classes: 30 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory	Laboratory classes: 30	3	Graded assignment	Obligatory
Course details Tutorials: 30 h Lecture: 30 h ECTS points: 4 Form of verification: Graded assignment Obligatory: Obligatory	Tutorials: 30 Lecture: 30	4	Graded assignment	Obligatory
Course details Project work: 30 h Lecture: 30 h ECTS points: 6 Form of verification: Graded assignment Obligatory: Obligatory	Project work: 30 Lecture: 30	6	Graded assignment	Obligatory
Course details Project work: 90 h ECTS points: 9 Form of verification: Graded assignment Obligatory: Obligatory subjects to choose from	Project work: 90	9	Graded assignment	Obligatory subjects to choose from
Course details Seminar: 15 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Obligatory	Seminar: 15	2	Graded assignment	Obligatory
Course details ECTS points: 2 Form of verification: Graded assignment Obligatory: Obligatory group	Total number of contact hours: 30	2	Graded assignment	Obligatory group
The student chooses one course from the group.
Course details Lecture: 30 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Optional	Lecture: 30	2	Graded assignment	Optional
Course details Lecture: 30 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Optional	Lecture: 30	2	Graded assignment	Optional
Course details Tutorials: 15 h Lecture: 15 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 15 Lecture: 15	2	Graded assignment	Optional
Course details Tutorials: 15 h Lecture: 15 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 15 Lecture: 15	2	Graded assignment	Optional
Course details Tutorials: 15 h Lecture: 15 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 15 Lecture: 15	2	Graded assignment	Optional
Course details Tutorials: 15 h Lecture: 15 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Optional	Tutorials: 15 Lecture: 15	2	Graded assignment	Optional
Course details Seminar: 15 h Lecture: 15 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Optional	Seminar: 15 Lecture: 15	2	Graded assignment	Optional
Course details Lecture: 30 h ECTS points: 2 Form of verification: Graded assignment Obligatory: Optional	Lecture: 30	2	Graded assignment	Optional
Sum	335	30

List of courses - Summer semester, 2029/30 See additional information
Course	Number of hours	ECTS points	Form of verification	Obligatory
Course details Project work: 45 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory subjects to choose from	Project work: 45	3	Graded assignment	Obligatory subjects to choose from
Course details Seminar: 30 h ECTS points: 3 Form of verification: Graded assignment + exam Obligatory: Obligatory	Seminar: 30	3	Graded assignment + exam	Obligatory
Course details Diploma Thesis: 0 h ECTS points: 15 Form of verification: Pass Obligatory: Obligatory subjects to choose from	Diploma Thesis: 0	15	Pass	Obligatory subjects to choose from
Course details Internship: 0 h ECTS points: 6 Form of verification: Pass Obligatory: Obligatory	Internship: 0	6	Pass	Obligatory
Elective Course 2 Course details Total number of contact hours: 45 h ECTS points: 3 Form of verification: Graded assignment Obligatory: Obligatory subjects to choose from	Total number of contact hours: 45	3	Graded assignment	Obligatory subjects to choose from
Sum	120	30

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The student selects a course, offered in any language, from the first-cycle study programme that further develops the knowledge, skills, and competences acquired in the project as part of the Capstone Module, worth 3 ECTS credits and comprising 45 contact hours.