Mathematical Modelling of Complex Systems

The Master's degree program in Mathematical Modelling of Complex Systems at the University of Koblenz-Landau offers an advanced, interdisciplinary education designed to equip students with the theoretical knowledge and practical skills necessary to analyze, simulate, and optimize complex systems across various scientific and engineering domains. This program emphasizes the development of comprehensive mathematical models that capture the intricate dynamics of real-world phenomena, including biological processes, social networks, technological systems, and environmental challenges. Students will engage with a broad spectrum of mathematical techniques such as differential equations, stochastic processes, numerical analysis, and computational methods, enabling them to address complex problems with innovative solutions. The curriculum combines rigorous coursework, research projects, and hands-on practical training, fostering a deep understanding of modeling principles, statistical analysis, and data interpretation.

Throughout the program, students will have the opportunity to collaborate with faculty on cutting-edge research initiatives, participate in interdisciplinary seminars, and gain valuable experience using modern computational tools and simulation software. The program is designed to prepare graduates for a wide range of careers in academia, industry, and research institutions, where they can contribute to advancements in scientific modeling, data science, artificial intelligence, and systems engineering. With a focus on real-world applications and problem-solving, the Master’s in Mathematical Modelling of Complex Systems emphasizes critical thinking, analytical skills, and innovative approaches to tackle the complexities of modern systems. Graduates will be well-equipped to pursue doctoral studies or enter the workforce as specialists capable of making significant contributions to technological innovation, policy development, and scientific discovery in fields demanding sophisticated modeling expertise.

Educational organisation

The first three semesters of the two-year Master's programme in Mathematical Modelling of Complex Systems consist of core courses in applied mathematics and applied physics. Elective courses in applied mathematics, applied physics and computer sciences allow each student to set an individual focus. Active use of the gained knowledge and its application to the solution of real-world problems is taught and practised in a project seminar. This project seminar can be carried out in a three-month period at a research institution, enterprise or at university. The Master's thesis in the last semester and dealing with modelling and simulating a real-world problem, shows the student's ability to perform independent research work.

Overview of Courses

• Applied Differential Equations ( 9 ECTS)
• Optimisation (9 ECTS)
• Physics in Applications (6 ECTS)
• Common Concepts in Physics (6 ECTS)
• Solid State Physics (6 ECTS)
• Computer Based Methods (18 ECTS)
• Electives (18 ECTS)
• Project Seminar (18 ECTS)
• Master's Thesis (30 ECTS)

Study abroad unit(s)

The institute is a member of ECMI (= European Consortium for Mathematics in Industry) and collaborates in international research projects. Thus, the institute has international connections for stays abroad (in Europe, the US, China, India or Indonesia) and supports and advises students if they interested in spending some time abroad.

Forms of assessment

The core and elective courses typically include a written or oral exam. The project seminar is graded based an oral presentation and a written report of the project results.

Course objectives

The Master's degree in Mathematical Modelling of Complex Systems is to give those possessing extended skills in mathematics, physics and computer science in theory, the opportunity for experiments and practical application. These skills are complemented with further knowledge in additional topics, individually selected by each student. The degree entitles its holder to exercise professional work in the field of applied mathematics and/or mathematical modelling in science or industry. Graduates are also able to pursue a PhD programme in related fields.

Language requirements

Applicants must have a good knowledge of spoken and written English equivalent to level B2 or a certificate that previous education was carried out in English
German is not a requirement in order to study this Master's programme, but we recommend that students learn some basic German for daily use.

Academic requirements

BSc degree or equivalent in Applied Mathematics, Applied Physics, Computer Science or a related field
Knowledge of the English language equivalent to level B2 or a certificate that previous education was carried out in English

Enrolment fees

Currently 214 EUR per semester, covering contributions to the student body, the student union, and local public transport

Costs of living

We estimate that you need around 600-800 EUR per month for rent, food, books, clothes, phone, health insurance, semester contribution, and recreational activities.

Job opportunities

A limited number of jobs are available at the university (i.e. as study assistants). Students who speak good German can also find part-time jobs outside the university.
Please note: Due to the intensive nature of the programme, students might find it difficult to work while studying.

Funding opportunities within the university

The university has a limited number of scholarships to support excellent international students in our international Master's programmes during their first semester. The scholarship covers 400 EUR per month during the first semester at the University of Koblenz-Landau.
http://www.uni-koblenz-landau.de/en/international-en/incomings/scholarship/weco-scholarship

Arrival support

Prior to their arrival, international students are already in contact with the Welcome Center and the programme adviser.
The student body offers an orientation week, which helps foreign students settle in and feel comfortable at the university. Additionally, buddies assist international students with administrative matters.

Services and support for international students

The Welcome Center on campus is the main point of contact for students regarding administrative matters. Intensive support is also provided by the advisory service, lecturers, and professors of the Master's programmes.
Buddies (older or graduate students) are paired with incoming students and offer support in everyday situations.
Furthermore, due to the small number of students, direct contact and communication between students of different semesters is easy.

Accommodation

Accommodation is available in student residences or on the private housing market. A certain number of rooms in student residences is reserved for incoming international students.
Students can contact the Welcome Center of the university for further information on the application process or the search for private housing.
E-mail: welcome@uni-koblenz-landau.de