Master of Science in Mathematics

This two-year, English-language Master's programme is organized into four distinct study tracks. When you apply you must pick one track — Mathematics, Business Mathematics, Data Science or Interdisciplinary Mathematics — and meet the specific requirements for that track. The programme combines advanced mathematical coursework, a minor subject or electives, and interdisciplinary elements (including a Studium generale) that allow participation in internships or non-mathematical courses.

The Mathematics track focuses on deep theoretical and applied areas: you are required to select two advanced-course specialisations from the programme’s core research fields (see list below). Electives may be taken as a minor drawn from the university catalogue or as additional master’s-level mathematics courses. The Business Mathematics track mixes mathematics and economics: you choose one mathematical specialisation (Optimisation or Stochastics), take a second specialisation in economics, and must take Information Management as a minor. The Data Science track emphasises mathematically oriented data topics: you pick two specialisations from Analysis, Numerical Analysis, Optimisation and Stochastics, and you must take Advanced Computer Science as a minor (substantial prior knowledge in computer science is required). The Interdisciplinary Mathematics track lets you combine mathematics with another discipline (for example Computer Science, Physics or Mechanical Engineering): you choose one mathematical specialisation from the core fields and a non-mathematical specialisation; the minor is typically aligned with that non-math specialisation.

Completing the programme prepares you to engage with contemporary mathematical research, present and reflect on mathematical problems, solve mathematical problems systematically, and apply knowledge from other disciplines in academic and scientific discussions.

Requirements (concise)

• Language & duration
  • Programme language: English
  • Standard duration: 4 semesters (2 years)
• Application: you must choose one of the four study tracks when applying
• Mathematics track
  • Choose two advanced-course specialisations from the seven research fields listed below
  • Electives: minor from the TU course catalogue or additional master’s-level mathematics courses
• Business Mathematics track
  • Choose one mathematical specialisation: Optimisation or Stochastics
  • Second specialisation: economics
  • Mandatory minor: Information Management
  • Electives: mathematical courses outside your chosen mathematical specialisation
• Data Science track
  • Specialise in two mathematical areas from: Analysis, Numerical Analysis, Optimisation, Stochastics
  • Mandatory minor: Advanced Computer Science
  • Note: extensive prior computer science knowledge is necessary
• Interdisciplinary Mathematics track
  • Choose one mathematical specialisation from the core fields (see list)
  • Second specialisation: non-mathematical subject (e.g., Computer Science, Physics, Mechanical Engineering)
  • Mandatory minor usually aligned with the non-mathematical specialisation (may vary)
  • Interdisciplinary courses and Studium generale provide options for internships or non-mathematical modules

Core mathematical research fields (available for specialisation)

• Algebra
• Analysis
• Logic
• Numerical Analysis
• Optimisation
• Applied Geometry
• Stochastics

Learning outcomes

• Ability to classify and engage with recent research
• Skills to present and critically reflect on mathematical topics
• Competence in systematic mathematical problem solving
• Capacity to integrate expertise from other disciplines into scientific discourse

(If you are an international applicant, be sure to check the specific entry requirements and any prerequisites for your chosen track — especially the Advanced Computer Science minor for the Data Science track.)

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Graduates are prepared for research-oriented roles and for mathematically demanding positions in industry. The programme trains you to analyse and solve complex quantitative problems, making it suitable for careers in data science, finance, optimisation, scientific computing, and technology-driven sectors.

The Interdisciplinary and Business Mathematics tracks in particular support direct entry into applied roles where mathematical methods are combined with domain knowledge (e.g., economics, computer science, engineering). The degree also provides the academic foundation for doctoral studies in mathematics or related fields.