Master Computational and Applied Mathematics (CAM)
Master Computational and Applied Mathematics (CAM)
This degree programme is tailored to the current needs in applied mathematics and scientific computing. It is designed for students who appreciate to use rigorous mathematical analysis or scientific computing to predict phenomena or to optimize processes in the sciences or in engineering. Initially, the students acquire a firm grounding in mathematical modeling and applied analysis as well as in high performance computing. They learn to derive mathematical models and to reflect upon their properties and limitations. Starting from the second term, they are free to choose among a large variety of courses to specialize in two of the fields
- Modeling and Applied Analysis (MApA),
- Numerical Analysis and Simulation (NASi),
- Optimization (Opti).
The courses are taught in English. Thus the programme addresses students from all over the world who wish to acquire not only the mathematical knowledge, but also the cultural and communication skills needed for attractive employment options on the international level both in industry and in academia.
To respect possible interests or previous knowledge beyond mathematics or in other fields of mathematics, the students may also attend a certain number of modules chosen from the entire portfolio of FAU on the master level.
Starting in the winter term 2017/18, the master programme CAM replaces the master programme Technomathematik.
Information on the contents of CAM:
To get a general overview over CAM, see
- the brochure (in cooperation with IBZ)
- or the Folder_CAM (English version) / Folder_CAM (German version)
- or see the description of CAM on the DAAD pages
- or read the text on meinstudium.fau.de: English version / German version
For more detailed information on the contents of CAM, see the general study plan and list of modules (not all of them are offered annually) available. For every semester there is a module handbook showing exactly those modules which will take place in that semester (see in the list of documents below).
You can also have a look at the examination regulations (in the list of documents below).
Some basic knowledge of differential equations or functional analysis and of numerical methods is recommended. The Master’s degree programme also enables students to specialise in the numerics of partial differential equations or in optimisation. Applicants should be accordingly familiar with the basic ideas of these fields.
The requirement for admission to the Master’s degree programme is a good Bachelor’s degree in a mathematical programme, or in a closely related field with a substantial content of mathematical courses (at least 45 ECTS). Qualification or aptitude for the Master’s degree programme is examined in the qualification assessment process. Applicants with a degree not in mathematics, but in a related field, can only be admitted after passing an oral exam. The criteria in this oral exam are: basic knowledge in functional analysis or in the theory of differential equations, basic knowledge in numerics or in optimization, ability for discussion on mathematics in English, e.g., on the applicant’s Bachelor’s thesis.
Since all the mandatory and mandatory elective modules are taught in English, an English certificate CEFR B2 is required, except if your university entrance qualification or the Bachelor’s degree was acquired in an anglophone programme, or if you had 6 years of English lessons at a German secondary school.
Application for CAM:
The application for CAM is now fully online (no postal submission of paper any longer, documents have to be uploaded as pdf’s instead):
Then, using your IdM account, you can set up your online-application for CAM. During the online application process you also have to specify a mentor. Choose a mentor from this list.
Note: You can see the status of your application online. Hence, e-mails asking for the status of application will not be answered.
Here is a list (provided by FAU) of required documents. A letter of motivation is not required.
- for programme’s start in October: The application portal opens second half of January and closes July 15th.
- for programme’s start in April: The application period is rather short; the portal usually opens December (mid-month) and closes January 15th.
For the programme’s start in summer 2023, the Campo application portal will probabaly open already on Dec. 08th 2022.
A few frequently asked questions concerning application:
- I have a bachelor’s degree in a technical field such as Engineering, Physics, Computer Science,… (i.e., not in Mathematics or a mathematical programme such as ‚Technomathematik‘, Economathematics) – can I get admittance to CAM? Answer: In this case your BSc must contain at least 45 ECTS credits of mathematical content, and an oral exam must be passed after the application is submitted and before admittance is possible.
If you are not familiar with ECTS and want to find out if you fulfill this criterion: As a rule of thumb, a full BSc programme over 6 semesters usually corresponds to 180 ECTS. Hence, 45 ECTS typically correspond to one quarter of a full 6 semester BSc programme.
The oral exam can be remote, from a technically equipped room in your university to the e-studio in our university. Due to our corona regulations, it can now even be done via Zoom.
In this oral exam it will be checked if you have basic knowledge in theory of differential equations or functional analysis, basic knowledge in numerics or optimization, and if you can express yourself on mathematics in English.
- How are grades (or cgpa) transfered into the German grading system?
In Germany 1.0 is the best grade, and 4.0 is the worst grade by which one can pass an exam. To convert your grade/cgpa into the German system you can use the formula x = 1 + 3 (Nmax–Nd)/(Nmax-Nmin) where x = your grade in the German grading system, Nmax = best possible grade in your grading system, Nmin= worst grade in your grading system by which one can pass an exam, Nd= your grade in your grading system. Or, in other words: The best possible grade is mapped to the best possible grade in the German system (=1.0), the worst passing grade is mapped to the worst passing grade in the German system (=4.0), and in between there is a linear interpolation done.
There is a web-based calculator (external link) for conversion of grades.
To be eligible for CAM, the German grade must be at least 3.0, i.e., between 1.0 and 3.0; any grade >3.0 is not sufficient.
- English level B2 CEFR is required to apply for CAM. What is the relation between CEFR, TOEFL, IELTS?
Please look on your own for web sites that help with the conversion. (Maybe this web page or this web page(external links) are helpful.)
If your BSc programme was taught in English, then no English level B2 CEFR certificate is required.
There is no German language certificate required for the application for CAM.
- A letter of motivation is not required for the application.
After you got admission, find information about the enrolment for international students here.
After admission to the CAM programme and after inscription (‚Immatrikulation‘), before lectures start, you have to plan which modules to take. Im CAM, only a few modules are mandatory. Most modules you have to choose(!) from the portfolio of mandatory elective CAM modules. You can use
- To get a list of the CAM modules (mandatory modules and mandatory elective modules) that are offered in a specific semester, use the web portal www.campo.fau.de as follows:
You don’t need to log in on that page. Switch to ‚English‘ in the upper right corner of that page, if desired. Take a deep breath, because the way is long:
Click on the three horizontal bars in the upper left corner (=main menu). Then select ‚Studies offered‘. Then select ‚Search for courses‘. Then choose the desired semester. Then click on ‚Show all possible search criteria. Then in the right column in the paragraph ‚Structure‘ in the field ‚Degree programme‘ type ‚computational and‘, and then a menue with some possible continuations drops down. Choose ‚MSc CAM (PO 20192)‘. Then in the bottom of the page on the left hit the button ‚Search‘.
Now you see the mandatory modules (e.g., Modeling and analysis in continuum mechanics‘) and mandatory elective modules.
— You may click on a lecture name or on the symbols to find the basic data, the dates, the lecturer. Then, you may also click on the lecturer’s name to get his/her email address in case you have questions about the lecture – for example, if there is some online material provided. If there is some online material for lectures it can usually be found on www.studon.fau.de (login/enrolment required) or on www.fau.tv (login/enrolment required for most of the content). Email adresses of lecturers can also be found on www.univis.fau.de (by using the search for persons on that page).
— If you want to export the lecture list, you may click on the printer symbol (above the list) and redirect the printing into a pdf.
- To obtain information about the modules:
Use the pdf long-time module catalogue and general study plan (see pdf below) to find which modules are mandatory, to find the prerequisites of each module, and to get an impression which modules might be offered in subsequent semesters, in the modules‘ module descriptions. The module descriptions are also available in the new Campo system. To find the CAM module descriptions on Campo www.campo.fau, proceed as follows:
Switch to ‚English‘ in the upper right corner of that page, if desired. Click on the three horizontal bars in the upper left corner (=main menu). Then select ‚Studies offered‘. Then select ‚Module descriptions‘, then hit ‚Show module descriptions‘. In the search field m you may enter ‚Computational and‘. Then you get possible continuations of your input; choose ‚MSc CAM Hauptfach PO-Version 20192‘. Then a tree opens showing the CAM modules. Scroll the list or use the browser search to find a module. Click on the magnifying-glass-symbol on the right to get the module description. Important: click on the magnifyer-symbol in the line of the module, not in the line of the lecture!
Note: Only modules / module descriptions that are ‚cleared‘ by the module coordinator or the programme coordinator are visible on Campo. Some modules might be under review. Those are invisible to you.
At least for some time, we will let the pdf-version of the module catalogue with the module descriptions online.
- the long-range planning of the department (to find which modules will (most likely) be offered in subsequent semesters, see this link, klick on ‚Master-Studium‘)
Make up you mind and then discuss your plan with your mentor.
COVID-19: It was decided that all the lectures of the winter semester 2020/21 and summer semester 2021 of international programmes (such as MSc CAM) will be given in digital form. For the winter semester 2021/22 we have to distinguish between international programmes and other programmes. For international programmes – such as MSc CAM – the lecturers should provide online material such that also those students who are stuck abroad due to pandemic travel restrictions can follow the course. BUT: In the summer semester 2022 and in the subsequent semesters, as a default, lectures should take place in the lecture halls. If you cannot be present, you may contact your lecturers individually and ask them if they have some online material to share with you. Search on https://campo.fau.de (without login) and in particular on https://studon.fau.de (login required) for your individual courses and check for information in which form the lecture will be presented (digital by zoom, digital by video, …, or in presence form) and how to obtain some lecture-related material. The lecturers should provide information about their lecture before the term starts on StudOn. Lecture-related online material is often provided via StudOn. To find out about the general covid situation at FAU and its impact on teaching please find some links in the bottom part of this page. *******************
- IBZ Brochure on CAM
- Module Catalogue and General Study Plan (version: 06 Oct 2022)
- Module Handbook for winter semester 2022/23: you can construct the ‚module handbook‘ by following the instructions in the paragraph ‚Getting started‘. Last time I did this was on Oct 25th 2022, and this is what I got: list of CAM modules offered in WS’22
- Module Handbook of past semesters:
- Module Handbook for summer semester 2022 (version: 14 Apr 2022)
- Module Handbook for winter semester 2021/22 (version: 11 Oct 2021)
- Module Handbook for summer semester 2021 (version: 12 May 2021)
- Module Handbook for winter semester 2020/21 (version: 02 Oct 2020)
- Module Handbook for summer semester 2020 (version: 23 March 2020)
- Module Handbook for winter semester 2019/20 (version: 15 Oct 2019)
- Module Handbook for summer semester 2019 (version: Mar 2019)
- Module Handbook for winter semester 2018/19 (version: 28 June 2018)
- Module Handbook for summer semester 2018 (version: 28 June 2018)
- Examination Regulations for CAM (Fachprüfungsordnung): link to Prüfungsamt or use shortcuts:
version Aug 2022 (German) — no English translation available yet
version Aug 2021 (German) — no English translation available yet
version Aug 2020 (German) — no English translation available yet
version July 2019 (German) — English translation
version Feb 2017 (German) — English translation
- General Examination Regulations for all mathematics programmes at FAU (Allg. Prüfungsordnung der mathem. Studiengänge): link to Prüfungsamt or use these shortcuts:
version Aug 2020 (German) — English translation
version July 2019 (German) — English translation
version Mar 2017 (German)
- Form Sheet ”Study Agreement CAM” (Individual Study Plan): You find the valid version of this document here (or you can try this shortcut that hopefully directs to the valid version of the document). Fill out / discuss this document together with your mentor.
- List of mentors
Maybe you find the following links helpful.
- List of FAU programmes taught in English
- INFORMATION ON THE CORONAVIRUS AND ITS IMPACT ON FAU:
- Lectures offered in the current semester: Use ‚Campo‘ (guidance see above ‚getting started‘)
- new: Youtube Video Hub of the FAU for international students with videos such as ‚The wondrous ways of German student life‘ and ‚On arrival: international students‘
- new: First Steps (web page of FAU about life and studying in Germany, in alphabetical order)
- How to find accomodation in Erlangen and around?
- Labour market for FAU graduates: see the QS Graduate Employability Ranking 2019
- Rankings: FAU at the top of the leagues: German version / English translation
- Comments of the portfolio of lectures offered by MSO (=Modeling-Simulation-Optimization) (in German)
- Thoughts on: Why and how to study mathematics (in German)
- Student Advisor for CAM:
Prof. Dr. Serge Kräutle
(e.g., questions on the structure of CAM, requirements to the applicants, questions arising during studying CAM)
- Questions about the application process, documents required for application:
Read this information first. Then:
- Member of the Examination Committee for CAM:
Prof. Eberhard Bänsch
- Advice for issues concerning authorities responsible for alien, issuance of documents testifying the duration of your studies in Germany (useful for authorities or loan issues): Patrik Stör (the Science faculty’s responsible for internationalization)