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Integrated International Master and PhD Program in Mathematics

Conditions Structure of studies Registration Contacts and information

The first Integrated International Master and PhD Program in Mathematics, established at TU Chemnitz with the support of the German Academic Exchange Service (DAAD), leads through four semesters to a worldwide recognized Master's degree of science and after six additional semesters to PhD. The study path is particularly meant for students from Eastern Europe and the developing countries who have often no chance to aquire the doctorate in their own country. The faculty also wants to encourage German students to get the Master's degree and additionally the doctorate. Master's degree corresponds in the view of qualification level with a diploma in mathematics. An additional component of international study path is given by the offer of English lectures in mathematical subjects. Thus students are introduced to the English mathematical terminology and learn to follow English lectures and practices as well as use themselves the English language in discussions. Such language skills are nowadays essential for mathematicians in science and research as well as in economy, as e.g. articles in international mathematical journals are published almost allways in English. Another advantage is the work in an international team of students.

Conditions of admission
- Master:
(1st phase)		 Bachelor's degree or similar with main subject mathematics or Fachhochschulabschluss mathematics and for the study requisite knowledge in English language
- PhD:
(2nd phase)		 Outstanding termination of the first phase or outstanding diploma as well as Master's degree in a mathematical course of studies
Normal time of studies: 4 semesters (1st phase)
6 semesters (2nd phase)
Degree: Master of Science (M. Sc.) (1st phase)
Doctor rerum naturalium (Dr. rer. nat.) (2nd phase) (PhD)
Beginning of the studies: Usually winter semester

Professional possibilities

The Master and PhD Program in Mathematics as professional and research qualifying studies are preparing German and foreign students for vocational activities as mathematicians in scientific and application-oriented working areas. In particular the scientific abilities will be educated in this case. Very good fields of application are e.g. in industry research, technology centres and software offices. The complexity of spheres of activity spreads from automobile and chemical industry, CIM and robotic towards medicine, biology, insurances, banks, up to transport and communication.

Structure of studies

The studies are organized in two phases:

1st phase (master - 4 semesters)
2nd phase (doctorate - 6 semesters)

During the first phase 58 SWS in basic and special parts of mathematical education plus at least 12 SWS in the subsidiary subject are to be proved.

Master Program

For foreign students there is a collateral language course offered in their semester of matriculation (only in the winter semester) to learn the German language, which can be finished with the acquirement of a certificate after an examination. Basic knowledge in German language is advantageous, but not a condition. A part of the lectures are offered in English. However foreign students should focus in the first semester on learning the German language. So beginning with the second semester of their studies they will be able to follow some German lectures, too.

During the third semester there is taking place, apart from the consolidation of the general mathematical basics, a specialization within one of the following six areas. There are possible course offers in every mentioned special subject. More lectures can be added.

  • Algebra
    Representation Theory of Algebras,
    Representation Theory of Groups,
    Homological Algebras,
    Theory of Invariants,
    Combinatorial Methods of Linear Algebra,
    Algebraic Geometry,
    Algebraic Groups,
    Computer Algebra,
    Logic and Set Theory,
    Discrete Mathematics,
    Graph Theory

  • Analysis
    Banach Algebras,
    Inverse Problems,
    Mathematical Elasticity Theory,
    Analysis of Pseudo Differential Equations,
    Operator Theory and Integral Equations,
    Optimal Control,
    Partial Differential Equations,
    Boundary Integral Methods,
    Systems Theory

  • Geometry
    Projective Geometry,
    Basics of Geometry,
    Differential Geometry,
    Non-Euclidean Geometry,
    Geometric Convexity,
    Combinatorial Geometry,
    Selected Problems from Classical Geometry,
    Algebraic Topology

  • Numerical Mathematics
    Discretization Methods for ordinary and partial Differential Equations,
    Numerical Methods of Linear Algebra,
    Numerical Methods for Algebraic Differential Equations,
    Numerical Methods for Nonlinear Equations and Minimization Problems,
    Numerical Methods for Boundary Integral and Integral Equations,
    Numerical Methods for Inverse Problems,
    Numerical Methods for Control Theory,
    Approximation Methods,
    Parallel Scientific Computing

  • Optimization
    Analysis and Numerics of Differentiable and Non-Differentiable Optimization Problems,
    Discrete Optimization,
    Graph Theory and Network Optimization,
    Linear Optimization,
    Models of Operations Research,
    Game Theory,
    Multicriteria Optimization,
    Convex Analysis,
    Non-smooth Analysis and Optimization,
    Duality Theory,
    Location Optimization,
    Portfolio Optimization

  • Stochastics
    Mathematical Statistics,
    Random Functions,
    Statistical Modelling and Experimental Design,
    Stochastic Analysis,
    Actuarial Theory,
    Stochastic Differential Equations,
    Explorative Data Analysis,
    Weak Correlated Random Functions,
    Stochastic Simulation.

Furthermore the master course comprises a fundamental education in a nonmathematical subsidiary subject from the offers of the faculties of natural sciences, mechanical and process engineering, electrical engineering and information technology, computer science and economics.

The Master examination constitutes the profession qualifying conclusion. It consists of a Master thesis and examinations in the subjects of pure mathematics, applied mathematics, specialization and the subsidiary subject.

PhD Program

The study of PhD deepens the knowledge and skills, especially the abilities to independent scientific working.

Apart from the deepening in the special direction there is an opportunity to deal with current research themes in corresponding lectures and seminars or to discuss open problems in research. The verification of the knowlwdge acquired in this courses takes place within a doctoral oral examination (Rigorosum).

During the PhD's program the thesis is made between the 7th and the 10th semester. Therewith shall be proofed that students are able to achieve by independent scientific work results which represent a development in the scientific field, its theories and methodes.

Here you get a view of the chairs of our department.


Registration

The documents regarding matriculation are available at:

Technische Universität Chemnitz
Studentensekretariat
D-09107 Chemnitz
Germany

place: Straße der Nationen 62, Room 043
phone: +49 371 531-33333
fax: +49 371 531-12129

Please enclose a self-addressed and stamped envelope (DIN A5).
Applications for the Integrated International Master and PhD Program in Mathematics must be submitted through an application form. The "Application for University Admissions" ("Antrag auf Zulassung zum Studium") and further information can be printed here or ordered from the Graduate Adviser Dr. Michael Lorenz. Please contact him also if you have problems, e. g. with documents and visa. Please have a look at the hints to fill out the application form.
The application form of admission and further information for matriculation, including an English translation of the application form, can be found also online at:

http://www.tu-chemnitz.de/verwaltung/studentenamt/abt12/formular.php

On this page you can download and print the application form of admission in the column "applications forms".

In addition to the application form, further documents must be submitted or will be helpful:

  • Curriculum vitae (description of the educational history)
  • certified copies of final certificates
  • list of all mathematical lectures attended with a brief description of the contents
  • list of examinations taken
  • two letters of recommendation
The Master's program starts with the winter semester (October). We offer a German language course during the winter semester (beginning also in October). Take into consideration the visa formalities and also the application times of the organizations which sponsor scholarships. For beginning the PhD program we suggest the winter semester, too.


Attention: The conditions of admission can change yearly.
For their actual status see "study possibilties"


FAQ
  • Cost of living
    A single student should have 350 Euro to 450 Euro each month to cover all living expenses.
  • Flat
    E.g. rooming house for 65-175 Euro per month. Visit the page of our Studentenwerk for more information. The official application for place in a students hostel is the German one, but you can use as orientation an English translation of it.
  • Grants
    You may apply to German Academic Exchange Service (DAAD) or to German or European non-profit foundations.
  • Chemnitz
    - city in the county Saxony of Germany
    - a traditional centre of industries in a growing high-tech area
    - Chemnitz Universty of Technology - top ranked by students
    - a good place to live and study
    - for more information visit the official site of the city

Contacts and information

Graduate advisor

Dr. Michael Lorenz
Technische Universität Chemnitz
Fakultät für Mathematik
 D-09107 Chemnitz
Germany

office: Reichenhainer Straße 39, Zimmer 709

phone: +49 371 531-34109
fax: +49 371 531-22109
e-mail:michael.lorenz@mathematik.tu-chemnitz.de

Central study-counselling service

Technische Universität Chemnitz
Zentrale Studienberatung
D-09107 Chemnitz
Germany

office: Straße der Nationen 62, Zimmer 046

phone: +49 371 531-55555, -31637, -31690
fax: +49 371 531-12128
e-mail: studienberatung@tu-chemnitz.de

International Office

Technische Universität Chemnitz
Internationales Universitätszentrum
D-09107 Chemnitz
Germany

phone: +49 371 531-13500
fax: +49 371 531-13509
e-mail: iuz@tu-chemnitz.de

Studentenwerk

Studentenwerk Chemnitz-Zwickau
Thüringer Weg 3
D-09126 Chemniz
Germany

post to: PF 1032

phone: +49 371 5628-0
fax: +49 371 5628-102
e-mail:stuwe.info@swcz.tu-chemnitz.de