Mathematics

Not only does mathematics enjoy a rich tradition as one of the foundations of science; it is also the driving force behind innovations in all areas of modern life, from the natural sciences and engineering to medicine, economics and digital technology. Thus there is much more to mathematics than the typically widespread image of an abstract discipline concerning theorems and calculative procedures. Only the Technical University of Munich offers a bachelor's in mathematics that provides more than just a sound vocational education and training in foundational areas such as analysis, algebra, geometry and probability theory. In addition, students familiarize themselves with the entire spectrum of modern applied mathematics: mathematical economics, financial mathematics, engineering mathematics, biomathematics and big data. You can further pursue all of these areas subsequently in one of our master's programs.

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

• Degree program documentation for the bachelor's program in Mathematics (PDF, German) 

As a graduate, you possess a deeper understanding of the core mathematical areas of analysis, linear algebra and discrete structures. From the first semester onwards, you will have been able to expand your knowledge through minors offered in economics, computer science, physics and electrical engineering.

Given the advanced courses on offer in mathematics, financial mathematics, biomathematics, mathematical economics and engineering mathematics, you will have been able to start to select your own specialties; you also have deeper insights into the fields of application of modern mathematics.

You understand complex relations, recognize structures and are also able to apply mathematics when seeking solutions to specific applications. Given the interdisciplinary orientation of the bachelor's program, you also have at your disposal a broad spectrum of skills relating to teamwork, communications and linguistic competency. A four-week professional internship will have provided you with your first practical experience of the application of mathematics, which you will have reflected upon and evaluated during the internship seminar. 

Most graduates continue their studies in the form of a master’s program. Should do decide to enter into professional employment after concluding the bachelor's program, opportunities then arise in many different sectors. By way of example, these include finance and insurance sectors, auditing, consulting, logistics, biotechnology, robotics, IT and software or education.

The bachelor's degree begins in the classic manner with introductory lectures on analysis as well as linear algebra and discrete structures. Here you acquire fundamental knowledge of methods and theory that you can confidently build upon during the course of your degree. Beyond which, beginning in the first semester, you work towards the completion of a minor in economics, computer science, physics or electrical engineering. In the fifth and sixth semesters there are additional advanced courses in mathematics, financial mathematics, biomathematics, mathematical economics or engineering mathematics.

The degree concludes with the bachelor’s thesis. 

Required language skills for admission:

You need sufficient German 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 German 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 German.

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

The tuition fees for international students from third countries for this degree program are 3,000 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.

Admission requirements and the application procedure vary depending on the type of higher education entrance qualification you hold.

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 an international higher education entrance qualification must have their documents reviewed in advance through uni-assist.

In detail:

• What are the steps of the application process?
• What admissions requirements do I need to fulfill?
• Important information about your application from the TUM school or department

• Higher Education Entrance Qualification
• Proof of German Language Proficiency
• Letter of Motivation
• Essay
• Complete and Current Résumé
• Passport
• if applicable: Proof of Internships or Professional Experience (optional)
• Preliminary Documentation (VPD) by uni-assist - for international applicants only

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)
• Higher Education Entrance Qualification (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)

Please note that the upload of your letter of motivation and your essay is mandatory during the online application for this program. Without these documents, the online application via TUMonline can not be completed.

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 the winter semester: 15.05. – 15.07.

Information about applying for a higher subject semester

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.

The Aptitude Recommendation is a mandatory part of the application process. It is a two-part procedure evaluating your ability to successfully manage the particular qualitative requirements of the bachelor’s program.

In the first stage, your overall secondary school grades, your grades in subject-specific courses, and any relevant practical experience or additional qualifications will be evaluated using a point system. Depending on the amount of points accumulated, applicants are either immediately admitted or invited to a mandatory interview.

• Aptitude Recommendation (SOV)
• Aptitude Recommendation Regulations (PDF 103 KB)