Mathematics in Science and Engineering

The Mathematics in Science and Engineering Master’s program is tailored to students with an interest in a demanding mathematical education and training with a special focus on questions of engineering and the natural sciences.

The fundamental specialties of mathematics are therefore of central importance, including mathematical modeling, numerical analysis, applied analysis, stochastic processes and computer science.

These are complemented by an applied field such as physics, structural mechanics, fluid mechanics or biomedical engineering. A solid knowledge of the basics of the chosen field is conveyed, such that students are prepared for working in interdisciplinary teams.

For a comprehensive description of the program, please refer to the degree program documentation:

• Degree program documentation for the Master’s program in Mathematics in Science and Engineering (PDF, German)

As a graduate you can mathematically model questions of engineering and the natural sciences, mathematically analyze these so as to take into consideration the engineering context and convey the results to fellow team members in a manner that is comprehensible across disciplines.

In addition to acquiring a deeper knowledge of mathematical core subjects and the chosen applied field, you will also have been able to broaden your portfolio of cross-disciplinary soft skills.  

As a graduate of the Mathematics in Science and Engineering master's program, you are ideally prepared for entry into interdisciplinary professional fields in the software and technology sectors. Further opportunities arise in the development departments of diverse companies or in research institutes dealing with engineering and the natural sciences.

 The core of the master's program consists of a broad vocational education and training in the subject areas of mathematical modeling, numerical analysis, applied analysis, optimization, stochastic processes and computer science. You complement these with an applied field that you choose with the support of a student academic advisor. 

The flexible structure of the program makes it easier to study abroad for one or two semesters at a TUM partner university.

The degree concludes with the master’s thesis in the forth semester. 

Required language skills for admission:

You need sufficient English language skills if you wish to apply for this program. Evidence of your language proficiency has to be submitted before the end of the application deadline. Learn more about recognized certificates and other ways to prove your language skills.

This evidence of your language proficiency confirms that you comply with the minimum language requirements for admission to the program. Depending on the program and your individual background, it may be necessary for you to keep working on your language skills during your studies. Be sure to take a look at the services of our Language Center.  

Language of instruction:

The language of instruction for this program is English.

• Information on exams
• Information on studying abroad
• Information on internships

The tuition fees for international students from third countries for this degree program are 6,000 euros per semester.

Many international students can have their fees waived or receive scholarships to finance them. You can find all information on waivers and scholarships here.

Please note: The semester fee as a contribution to the student union must be paid additionally. It varies depending on where you are studying. You can find all information on the semester fee here.

Minimum requirements to apply for a Master's program at TUM are a recognized undergraduate degree (e.g. a bachelor’s) and the successful completion of the aptitude assessment procedure. Aptitude assessment allows the TUM school or department to which you are applying the opportunity to evaluate your individual talents and motivation for study.

During the application period, you must apply through the TUMonline application portal and upload your application documents.

If you receive an offer of admission, you will additionally have to submit individual documents as notarized hardcopies by post to be enrolled.

Generally, applicants with a qualification for postgraduate studies (e.g. a bachelor’s) obtained outside of the EU / EEA must have their documents reviewed in advance through uni-assist.

In detail:

• Applying for a master’s program: Application, admission requirements and more 
• Important information about your application from the TUM school or department

• Degree Certificate and Diploma or Subject and Grade Transcript of Studies to Date
• Transcript of Records
• Curriculum (e.g. module description)
• Proof of English Language Proficiency
• Letter of Motivation
• Complete and Current Résumé
• Passport
• Preliminary Documentation (VPD) if the qualification for graduate studies (e.g. a bachelor’s) was obtained outside the EU/EEA (from winter semester 2025/26: outside Germany)

We may require additional documents depending on your educational background and your country of origin. Complete the online application to receive a comprehensive list of the required documents. 

• Application for Enrollment (signed)
• Degree Certificate and Diploma (certified copy)
• Transcript of Records (certified copy)
• Most Current Photo (as for ID)
• Digital notification of your health insurance status from a German public health insurance provider (requested by applicant)

We may require additional documents depending on the type of educational background you earned and your country of origin. After accepting an offer of admission in TUMonline, you will receive a list of documents you must submit to TUM in hardcopy for enrollment.

Application period for winter semester: 01.01. – 31.05.
Application period for summer semester: 01.10. – 30.11. 

During the application period, you must apply through the TUMonline application portal and upload your application documents. Please be aware that we can only process your application if you upload all required documents within the application period.

We will review your application as soon as it is complete. Please check your TUMonline account regularly, to see if we have any queries to your documents or if you have to amend one or more documents.

After receiving admission, you will see in TUMonline which documents you have to submit for enrollment, and in which form. Please note that you always have to send the signed application for enrollment and all notarized hardcopies by post.

We recommend that you submit the documents for enrollment as soon as possible after receiving admission. If individual documents are not available by then, you can submit them up to 5 weeks after the start of the lecture period. You will, however, only be enrolled once we have received all documents.

You can check the status of your application at any time in your TUMonline account.

Selection takes place through an aptitude assessment procedure. Aptitude assessment is a two-part procedure after the submission of an official application to a program. In this procedure, the TUM school or department determines whether you meet the specific requirements for its master’s degree program.

In the initial stages, the grades you obtained during your bachelor's program, as well as your written documents, will be evaluated using a point system. Depending on the amount of points accumulated, applicants are either immediately admitted, rejected or invited to an admissions interview. 

In detail: 

• Aptitude Assessment for Master
• Description of the Aptitude Assessment (appendix 2, PDF German) (PDF 416 KB)