Preparatory & Vacation Courses
Make a good start in your maths studies. Mathematics preparatory courses ease your start in our degree courses. Alongside the important thematic contents, the courses also give you the opportunity to get to know future fellow students and find your way around the TUM Campus. In our holiday courses and the holiday seminar of the Hurwitz Society, students also have the opportunity to deepen their knowledge during lecture-free periods.
As the teaching language in the course and in the bachelor's program is German, the content of these pages is not available in English. We ask for your understanding.
Preparatory courses for vocationally qualified students
Those starting maths degree after vocational qualifications (apprenticeships etc) must take a test on their math knowledge, in order to receive subject-related eligibility for university admission. As preparation for the test, the Department of Mathematics offers a preparatory course once a year.
Here you can find information on the current preparatory course.
Pre-courses for new students
TUM offers first-year students preliminary courses for various fields of study such as mathematics, physics, informatics, electrical engineering and information technology, engineering, aerospace and management. The courses are a perfect introduction to successful studies and therefore highly recommended by all departments.
The pre-courses are not compulsory and not a prerequisite: The lectures of your study program are based on the general Abitur knowledge.
Preparatory courses for the winter semester 2022/23
Courses held in German have German titles.
- Pre-course Mathematics for the study program Aerospace
- Vorkurs zur Höheren Mathematik für Bau, Geo, Umwelt
(Study programs civil engineering, environmental engineering, geodesy and geoinformation)
- Vorkurs Mathematik für Studiengänge der Elektrotechnik und Informationstechnik
- Vorkurs Mathematik für Informatik
(Study programs Informatics, Games Engineering, Business Informatics, Bio-Informatics)
- Vorkurs zur Höheren Mathematik für Maschinenwesen, Ingenieurwesen und Chemieingenieurwesen
(All bachelor's degree programs at the Department of Mechanical Engineering, the Munich School of Engineering, and the chemistry program Chemical Engineering)
- Vorkurs Mathematik für die Studiengänge Mathematik und Physik
- Pre-course Mathematics for Management & Technology
(Bachelor programs Technology and Management-oriented Business Administration)
Information about dates, venues and contact details can be found on the respective course page.
L & L - getting started with your studies
The perfect start for your studies! The course Lehr- und Lernformen (L&L - Teaching & Learning) is conceived for all those starting their first semester at the Department of Mathematics and takes place within the Semester Introductory Days (SET: Semester-Einführungstage). Within the SET Introductory Days, you can get to know the TUM and our Garching Campus and make first contacts with your future fellow students. The practice lecture, exercise classes and group work within L&L help make your first weeks as a math student that little easier. Click here to participate: Teaching & Learning (L&L).
Deepen your knowledge, repeat tricky topics and have your questions answered - vacation courses are ideal for those who want to prepare themselves for exams or need an introduction to software for mathematicians. The courses are a supplementary offer of our department, financed via study subsidies.
You are not required to attend. Also, we do not provide you any new teaching material you need to pass your exam. There are a number of one-day or several-day vacation courses on offer. Further information and the program can be found under vacation courses.
For some major Bachelor lectures, such as Analysis and Linear Algebra, there are one-day refresher courses shortly before the respective exam during the semester break.
Depending on the demand, we offer two to four-day courses for some lectures, such as Analysis and Linear Algebra, before the respective repreat exams.
In addition, we regularly hold introductory computer courses during the semester break, for example on LaTeX, for the implementation of optimization problems with PDEs or for linear optimization.
Questions on organization
Dr. Frank Hofmaier
Questions about funding and tuition fees
Dr. René Brandenberg
Vacation seminar of the Hurwitz-Society
A seminar in a relaxed atmosphere: the Hurwitz-Society for the Promotion of Mathematics at the TUM offers a vacation seminar for all students of the 4th semester and higher in autumn each year. The seminar gives students the opportunity to hear lectures and talks, to exchange mathematical ideas, and to get to know the tutors better. The vacation seminar can be credited towards your bachelor studies, as a regular seminar.