Master's Mathematics in Science and Engineering
Are you attracted to the way of thinking in the engineering and natural sciences? Do you want to convert problems in the field into mathematical models? Then why not use mathematics to take up the challenge of putting innovative ideas into practice, and drive research and development forward? In the Mathematics in Science and Engineering Master’s program you learn everything in four semesters that you need to work in the interdisciplinary field of software and technology, in development departments at large corporations, as well as at research institutes specializing in the natural and engineering sciences.
Major fields of study
Areas such as mathematical model building, numerical analysis, applied analysis, optimization, stochastics and informatics are all central to the Mathematics in Science and Engineering Master’s program. Having chosen an associated area of application in the engineering or natural sciences, students acquire solid foundational knowledge that prepares them for future work in interdisciplinary teams. Seminars on topics such as rhetoric and presentation techniques are also permanent components of this Master’s program.
Contact
Don't miss!
Here you will find important dates, deadlines and other relevant information.
Registration for your exam
In order to attend an examination (written or oral exams) you have to register in TUMonline using curricula support. Observe the registration periods:
Repeat examinations: 22.11.2021 - 15.01.2022
Exceptions are possible.
New Examination Regulations
The examination regulations for the master's program "Mathematical Finance and Actuarial Science" have been significantly updated. A brief summary of the changes is available on these slides.
The new regulations apply to all students starting the program in winter semester 2021/22 or later. If you have started your master's program in the summer semester 2021 or earlier, the old examination regulations will stay in effect for you. Changing into the new regulations is possible upon request, but please make sure to consult your academic advisor if you consider such a change.
Application deadlines
If you want to start your Master's program, you should apply as early as possible. All documents necessary for admission must be uploaded via the TUM Online-System by the deadlines.
Application deadline for the winter semester: 1 January to 31 May.
Application deadline for the summer semester: 1 October to 30 November.
Graduation Ceremony
The ceremonial farewell of our graduates will take place on 8th July 2022, starting at 16:00. More information, including a possibility to register for the event, is available at Graduation Ceremony. We look forward to your participation!
Consultation hours for Master's Students
On Campus
open consultation hours (no appointment necessary) for Anja Hoffmann and Michael Ritter:
every Thursday, 09:30 - 10:15, at room 00.10.056 (please wear an FFP2 mask)
Consultation hours on 23 Mar 2023 are held online only.
Online
open consultation hours (no appointment necessary) for Anja Hoffmann and Michael Ritter:
every Thursday, 10:15 - 11:00on zoom: meeting ID: 926 6912 3397, passcode: TUM-1868
Consultation hours on 23 Mar 2023 are held online only.
Individual counselling
Individual appointments (online or on campus) may be requested by email to master (at) ma.tum.de.
Profile: The essentials for the Master's program
Full-time study
The Mathematics in Science and Engineering Master’s program is full time. The standard duration of study is four semesters.
Commencing the degree program
Students can commence the Master’s program at TUM in either the winter or summer semester.
Language of instruction
The language of instruction in the Master’s program in Mathematics in Science and Engineering is English.
Module path
The curriculum should be agreed with Prof. Rainer Callies. For orientation, please see:
Field of application
Having consulted the student academic advisor, you must select a field of application for your Master’s program, such as physics, medical technology and engineering, structural or fluid mechanics.
Advanced seminar
Be sure to take into consideration that the assignment of the final thesis is conditional in some departments upon successful completion of the Advanced Seminar.
Mathematical modules
Foundational subjects such as Numerical Analysis and Optimization are important components of the degree course, along with courses from modules in Applied Analysis and Computational Mathematics.
Timetable
Details of all modules relevant to the degree program, along with associated times and locations, are available in the department’s curriculum at TUMonline. Here you can create your own timetable and save it digitally.
Final thesis
Whether you write on numerical analysis, optimization, stochastics, or applied analysis depends on the area in which you have acquired advanced knowledge. Read everything you need to know about the Master’s thesis here.
Professional internship
A four-week professional internship is integrated into the program. The accompanying Internship Seminar offers you the chance to inform yourself about suitable occupations and to discuss the experience you acquired during the internship.
Extradisciplinary competencies
You can round up your individual personal competence profile through modules out of the field of extradisciplinary competencies. Lead by your own interests you can choose out of a large offer of soft skilsl or language courses.
Semester abroad
During your Master's program, you can already spend up to two semesters abroad at one of TUM's partner universities. Important: Inform yourself in good time. The recognition of modules completed abroad is possible.
Master’s – then what?
Many of our students already get to know their future employer during their studies. TUM maintains close contact with leading corporations. Our Career Service is there to help you. Every third Master's graduate successfully completes a Doctoral Project.
Academic and examination regulations
All students must note the general information concerning examinations as well as the current program-specific Academic and Examination Regulations (FPSO).
Educational requirements
The prerequisite for the TUM Master´s program "Mathematics in Science and Engineering" is an accredited university degree in Mathematics, Engineering Mathematics, Physics, or a comparable degree program and the proof of appropriate competencies, as specified in the check list to the right. If you fail to meet these conditions only by a narrow margin, points will be deducted during the application process. If the commission thinks that there is too much content missing, your application will be rejected.
Check List
You should have acquired the following competencies before your application:
Required 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 not English, you will need a language certificate (see Check List) before the end of the application period.
Check List
- Here you may find a list of certificates recognized as proof of language proficiency.
- 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. In any case the certificate has to be uploaded 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. If you have applied for a VPD but it is not yet available, you can confirm the timely completion of the application for the VPD by submitting our form instead. As soon as you receive the final VPD upload that instead to your TUMonline account.
Application Period
for the winter semester: January 1 - May 31
for the summer semester: October 1 - November 30
All necessary documents must be uploaded by the end of the application 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 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. All documents necessary for admission in a Master´s program at the Technical University of Munich must be uploaded 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 uploaded before the application deadline | External applicants | TUM Bachelors |
| Transcript of Records with courses equivalent to a minimum of 140 ECTS | ✓ | ✓ just upload an unauthenticated transcript from TUMonline |
| Form with grade calculation (curricular analysis) from the best 140 ECTS | ✓ | ✓ |
| Curriculum of the underlying university degree | ✓ | ✓ Please upload that |
| Actual Curriculum Vitae (CV) | ✓ | ✓ |
| Letter of Motivation | ✓ | ✓ |
| Proof of language skills (German or English) | ✓ | ✓* |
| uni-assist VPD certificate | ✓ Only applicants outside of the EU/EEA |
* For Science amd Engineering English is needed!
| Documents, that have to be uploaded or sent in after admission but within the enrollment deadline | External applicants | TUM Mathematics Bachelors |
| Signed printout of the application for enrollment (from TUMonline) | ✓ | ✓ |
| Bachelor’s Degree or comparable qualification for admission | ✓ | If 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.
All required documents for admission must be uploaded.
Important: choose "consecutive Master degree" as the form of study below the point "study programme selection".
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 aptitude assessment 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.
After you have been admitted for the master's program and after you have accepted the place of study in your TUMonline account, you still have to pay the administrative fees and submit the necessary documents for enrollment. This includes amongst others the signed application for enrollment on paper as well as the certified diploma. The list of required documents can be found in your TUMonline account. Only then you'll 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.
Check List
- How to apply for a Master's Degree Program
- Course Guide/ Curriculum
- Form with grade calculation (curricular analysis) from the best 140 ECTS
- Preliminary documentation from uni-assist
- Semester fees
- Further documents required for applying at TUM, for example health insurance
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. (Exception: For the master's program "Mathematics in Data Science" all persons authorized as examiners in the TUM Department of Informatics can also act as a thesis supervisors.) You will find an overview of all such persons in the following list:
Registration: When and where?
It is possible to register your Master’s thesis on the 1st and 15th of each month (though not retrospectively). The completed form must be submitted in due time as a pdf or photo/scan (readable) to master (at) ma.tum.de, either by the student (examiner in CC) or by the examiner (student in CC). The signature of the examiner can be provided digitally on the document, or the consent of the examiner is made clear in the attached e-mail correspondence. It is currently not necessary to send the original forms by post. Please do not forget to provide a German and an English title for your thesis – both will appear on your transcript of records.
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 send the completed form as a pdf or photo/scan (readable) to master (at) ma.tum.de. Please also submit the route card even if no activities are supposed to be incorporated.
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.
Language
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 either on a tablet or as a scan of your original signature). If you do not wish to use a digital signature, you may alternatively submit a separate page with the declaration and your original signature at the Infopoint.
Change of title
Please write an e-mail containing the new thesis title to master(at)ma.tum.de and copy in your co-supervisor and your supervisor.
Digital submission
The Master's thesis has to be submitted digitally. Please submit the thesis as a pdf file to master (at) ma.tum.de within the deadline. If you have to hand in code or other files, please e-mail all files collected in a zip folder. Printed copies and USB sticks will no longer be accepted.
Date
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.
Extension
In the event that you need more time to work on your thesis, you must submit an application to master (at) ma.tum.de for an extension, at least seven days prior to the planned submission date. This application must have been signed by your thesis supervisor (or you have to send the consent of the supervisor in electronic form). In the event of a second extension, the Chair of the Examination Board must sign the application as well as the thesis supervisor.
LaTeX
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.
Logos
Corporate design and use of TUM and TUM Department of Mathematics logos.
Thesis Templates for LaTeX
Literature
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
- JADE – Journal Articles Database
- ERAM – Electronic Research Archive for Mathematics
- Online database at Zentralblatt MATH
- Mathematics Education Database
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.
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