Master Mathematics

Do you want a challenging job in development or research? Are you planning a career as a consultant or manager? Either way, do you see your future in a large, well-known corporation? As a graduate of the Master’s program in Mathematics, you will not have to write countless applications to get your dream job. Whether software development, consultancy, data security, medical science, communication, or IT: mathematicians are highly sought after in almost all branches and areas of the labor market. This is because they analyze many everyday problems from an abstract perspective, find creative solutions, optimize processes and come up with reliable prognoses.


Major fields of study

In the Master’s program in Mathematics, students deal with mathematics as a precise science. Numerous opportunities to acquire advanced knowledge are available to them, concerning areas such as Algorithmic Algebra, Analysis, Dynamical Systems, Geometry and Visualization, Mathematical Model Building, Bio Mathematics or Mathematical Physics. In contrast to all other mathematical Master’s programs at the Technical University of Munich, students do not have to complete a minor. However, they can incorporate lectures from one or more minors into their studies. During extra-disciplinary courses, students acquire soft skills in areas such as rhetoric and presentation, which are indispensable for their future careers.  


Examination management

Anja Hoffmann

Questions concerning examination regulations

Dr. Michael Ritter

Don't miss!

Here you will find important dates, deadlines and other relevant information.

Registration for examination

Registration for examination

In order to attend an examination (written or oral exams) you have to register in TUMonline using curricula support.

Registration period: May 27, 2019 - June 30, 2019.



Information meeting: Case Studies in Optimization

There will be a preliminary meeting for the case studies courses in the summer semester 2019 on 

Wednesday, 6 February, at 16:00 in room MI 03.06.011

There, you will get on this year's projects, important dates and the application process. This is a joint meeting for both the "Case Studies Discrete Optimization" and the "Case Studies Nonlinear Optimization". More information under Case Studies in the summer semester 2019.

Graduation Ceremony

Graduation Ceremony 12th July 2019

Our graduation ceremony will take place on 12th July, starting at 16:00. More information, including a possibility to register for the event, is available here. We look forward to your participation!

Profile: The essentials for the Master's program

Educational Requirements

The prerequisite for the TUM Master's program "Mathematics" is an accredited university degree in Mathematics, Physics, or a comparable course of study. If you are interested in the Master's program you should refer to the "Basics of the Bachelor's degree course in Mathematics at the TUM" (see check list) to verify the required competencies in detail. You need to have acquired at least 29 ECTS credits from among the lectures listed in Table A3.1. If these conditions have been missed by only a narrow margin, you´ll have points deducted during the application process. If the commission thinks that there is too much missing content, your application will be rejected.

Check List

You should have acquired the following competencies before your application:

Needed Mathematical Basics from the Bachelor's Degree Program

Language Requirements

Your Language of Instruction

In case the language of instruction during your undergraduate study was neither German nor English, you will need a language certificate (see Check List) in one of these languages before the end of the application period.

Additional German Language Knowledge

Students who provide an English language certificate with their application are admitted on the condition that they complete one module providing integrative knowledge of the German language within the first two semesters of their studies. TUM offers free courses for that purpose (see Check List). If you already have a German language certificate to at least the A1 level, please submit that with your application. 

Check List

  • A list of certificates recognized as proof of German or English language proficiency may be found here
  • Language certificates also have to be notarized, unless the Institute sends them directly to TUM (TOEFL, IELTS).
  • German as a foreign language for international students is offered free of charge by the TUM Language Center

Application: how to get a place

Language Certificates

Language tests are only offered on the appointed days and their evaluation requires some time. You have to allow some extra time if the certificate has to be notarized. In any case the certificate has to arrive at TUM before the application deadline. Schedule enough time for that!

Preliminary Documentation (VPD)

You can apply for the preliminary documentation from uni-assist throughout the year but you have to apply before the end of TUM application period. Please be sure to hand in your preliminary documentation to TUM as soon as you receive it. 

Application Period

for the winter semester: January 1 - May 31 
for the summer semester: October 1 - November 30

To meet the deadline, it is essential that the post is received and stamped at TUM by the deadline!

Enrollment Deadline

You don't need to have your Bachelor's degree at the moment of your application: some documents, such as your Bachelor's certificate, can be sent during and up to the so called enrollment deadline. This deadline is normally about 5 weeks after the start of the corresponding semester.

Compile the necessary documents for your application as early as possible. Acquiring official certifications and language tests may take a very long time. Essential parts of the application for the Master´s program at the Technical University of Munich can be filled in on the platform TUMonline. A candidate account is required for this purpose. You can find detailled information on this website.


Documents, that have to be sent in before the application deadlineExternal applicantsTUM Mathematics Bachelors
Application form (printed from TUMonline)
Transcript of Records with courses equivalent to a minimum of 140 ECTS

An unauthenticated print-out from TUMonline is sufficient

Form with grade calculation (curricular analysis) from the best 140 ECTS
Curriculum of the underlying university degree (as a doc- or pdf-file) 
Actual Curriculum Vitae (CV)
Letter of Motivation
Proof of language skills 
uni-assist VPD certificate
Only applicants outside of the EU/EEA


Documents, that have to be sent in within the enrollment deadlineExternal applicantsTUM Mathematics Bachelors
Bachelor’s Degree or comparable qualification for admissionIf you proceed directly after your TUM Bachelor to the TUM Master your diploma will be forwarded to the Student Registration Office automatically. 
Proof of sufficient health insurance
ID Picture

The electronic applicant wizard guides you through the application step by step. 
Important: choose "consecutive Master degree" as the form of study below the point, "study programme selection". 

At the end of the online application, you will receive a list of all the required supporting documents as well as the application for admission.

Sign this application and send it with all required documents by mail to the following address: Technische Universität München, Arcisstrasse 21, 80333 München, Germany

Check your candidate account on TUMonline on a regular basis. You will be notified there about missing documents and receive an offer or refusal of a study place. If you do not receive an offer, you can register one more time for the selection procedure. You will also receive important individual information at the e-mail address provided in your applicant account.

In order to obtain a place in the Master´s program, you must follow the procedure for verification of eligibility. This takes place once every six months and is carried out by the Faculty of Mathematics. After reviewing your application documents, the board of examiners decides whether you will receive an acceptance, a rejection, or an invitation to an aptitude assessment interview.

The suitability interview, which has to be completed by only a few candidates, takes place personally in Garching or as a webconference in German or English and lasts 20 to 30 minutes. The interview focuses on the candidates' motivation and ability to apply structured working methods. The expertise acquired from undergraduate courses is also assessed.

Once all application documents are complete and have been received on time, and you have been accepted and confirmed your study place in your TUMonline-Account, you still have to pay the tuition fees. After that you will be enrolled. 

Recognition of examination and study achievements 
Please find out for which modules from your Bachelor´s degree you may be able to receive credits from your Bachelor´s degree and where you have to submit the application request for their recognition.



New examination regulations from summer term 2019

Please note: The examination regulations for the master’s program in Mathematics will soon be changed.  A PDF of the new regulations will be made available shortly. While there are no relevant changes in the application process, the new regulations will be in effect for every applicant beginning his/her studies from the summer term of 2019. For all interested students at TUM there will be an information meeting in January 2019, the date will be communicated by email.

Master’s thesis: From planning to submission

In order to successfully complete a Master’s program at the TUM Department of Mathematics, students must write a scientific thesis: the Master’s thesis. Everything you need to know about the Master’s thesis, from planning to submission, can be found here in overview.

Any questions?

For questions relating to the content of your Master’s thesis, please contact your thesis supervisor as defined in the General Academic and Examination Regulations (APSO) or the Student Advisory Office responsible.

Time frames

You have six months to complete your Master’s thesis. This period begins on the date of registration. You normally complete the Master’s thesis in the fourth semester of your Master’s program, after you have fulfilled all other academic and exam requirements.

Examiners and assessment

The Master’s thesis must be approved and evaluated by someone who is authorized to do so (thesis supervisor as defined in the APSO) at the TUM Department of Mathematics. You will find an overview of all such persons in the following list:

List of professors approved for examination purposes

Registration: When and where?

It is possible to register your Master’s thesis on the 1st and 15th of each month (though not retrospectively). Please submit the registration form signed by your thesis supervisor at the Infopoint Mathematics.

Registration: Which documents?

In addition to the Registration Form, you must also sign and submit the Route Card for the Diploma Supplement of the TUM Department of Mathematics. Please also submit the route card even if no activities are supposed to be incorporated. Please do not forget to provide a German and an English title for your thesis – both will appear on your transcript of records.

Note: The Diploma Supplement is an English-language supplement to the university diploma and describes the qualifications linked to the study program. Under the heading “Additional Information” in this document, you can request the incorporation of specific details of extracurricular activities completed within the framework of your degree course.


The thesis can be written in the German or English language. 

Formal considerations

Cover page and page 1

Here you indicate the topic of the work as well as your name and that of the supervisor. In addition, you indicate the date of submission.

Page 2

Here you make the following declaration: 
“I hereby declare that this thesis is my own work and that no other sources have been used except those clearly indicated and referenced.” (Place, date, signature)

Change of title

Please write an e-mail containing the new thesis title to master(at) and copy in your co-supervisor and your supervisor.

External presentation

The Master’s thesis is to be submitted in bound form (adhesive binding). On the spine of your Master’s thesis, please indicate your first name and surname and the short title of the thesis.

Number of copies

You must submit two identical, signed copies of your Master’s thesis at the Infopoint Mathematics or at Ms. Hoffmann's office. We will
forward one copy to the thesis supervisor (for grading) and the second copy stays at Ms. Hoffmann's office (to be archived). You do not receive confirmation of submission.


Should the submission date fall on a weekend or a public holiday, submission on the subsequent workday is also possible. Theses can of course also be submitted prior to the planned submission date.


In the event that you need more time to work on your thesis, you must submit an application at the Infopoint Mathematics for an extension, at least seven days prior to the planned submission date. This application must have been signed by your thesis supervisor. In the event of a second extension, the Chair of the Examination Board must sign the application as well as the thesis supervisor.


The typesetting system LaTeX is the standard program worldwide for the compilation of theses that contain mathematical formulas. It is recommended that you familiarize yourself with LaTeX as early as possible during the course of your studies. It is a good exercise to prepare sheets for seminar presentations using LaTeX. 

You can find further information, templates and helpful advice on our LaTeX info page.


The TUM Library does not only offer outstanding access to all manner of books, newspapers, and electronic media, it also offers courses on, by way of example, bibliographical research and how to correctly cite works. 

Please also note subject-specific practices when citing works.

Further seminar papers and tools specific to mathematics

For licensing and contractual reasons, some of these databases are only accessible via domains belonging to the TUM Departments of Mathematics and/or Informatics. Please address queries where applicable to your supervisor or the TUM Library:

MathSciNet – Mathematical reviews on the web

English theses

The English Writing Center offers all TUM members free one-to-one advice on writing English texts and helps you to enhance your writing skills.


You can print your thesis at the computer room. Contact your supervisor to receive a sufficient print quota.

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