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MATHEMATICS INTERNATIONAL
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Mathematics International
Starting in autumn 1997, the Department
of Mathematics at the University of Kaiserslautern
will offer the new programme Mathematics International
which is designed for both German and foreign students.
Apart from high level scientific education,
this Master's Program emphasizes international
contacts: students from all parts of the world
work together with an equal number of German students.
Almost all lectures, seminars and projects will be
given in English. Mathematics International offers
students an opportunity to broaden their knowledge
in several fields of mathematics and to learn about
applications in a non-mathematical subject. S
pecialization is possible in five fields:
Algebraic Geometry and Computer Algebra:
methods in classical and modern algebraic geometry, computer
algebra, complex analysis and theory of singularities.
Efficient use of software systems in computer algebra.
Financial Mathematics:
stochastic methods and applications in banking, insurance
and consultancy. Modelling and analysis of financial data.
Functional Analysis and Probability:
inverse problems, stochastic analysis, geometric measure
theory, operator theory and the large number of connections
that these fields have to other parts of both pure and
applied mathematics.
Industrial Mathematics: Modelling and Scientific Computing:
analytical and computational methods for the solution of
technological problems in industry, mathematical modelling
and scientific computing.
Optimization and Statistics:
methods in mathematical optimization and mathematical
statistics which are used in advanced decision support
systems of management science and econometrics.
Students can participate in cooperation projects
with industrial partners to test and improve their
abilities on real-life problems.
The prerequisite for application is a qualified
bachelor degree from a foreign university, a German
Vordiplom in a mathematical programme or an equivalent
degree. Fluent English is mandatory. For students
from non-English speaking countries a German Abitur
or a score of at least 540 on the Test of English
as Foreign Language (TOEFL) is required.
The study programme covers five semesters
(two and a half years); the last semester is reserved
for writing a thesis. Oral and written examinations
are held during the programme with three to four
examinations per semester. To complete the programme,
a total number of 60 credits is required
(16 credits are connected with the thesis).
28 credits may be accredited from other universities.
After successfully completing the programme, the
student receives the degree Master of Science or
Master of Technology which is equivalent to a German
Diplomgrad in Mathematics, Technomathematics or
Economathematics.
Foreign participants have the opportunity to learn
about German culture and language. Language courses
are offered before and during the programme.
Mathematics International is generously sponsored
by the German government
as well as DAAD and other institutions. There are no
tuition fees. The cost of living is approximately
12.000 DM per year. In a limited number of cases,
scholarships can be provided for foreign students.
Application forms and additional information
(detailed descriptions of main
subjects, content of lectures, examples of possible
curricula, information about credits) can be ordered from
Dr. Burckhard Strehl
Fachbereich Mathematik
Universitaet Kaiserslautern
D 67653 Kaiserslautern
GERMANY
e-mail: mathint@mathematik.uni-kl.de
Information is also available via internet at
http://www.mathematik.uni-kl.de/mathint/
Specializations
Algebraic Geometry and Computer Algebra
This branch of Mathematics International provides
an introduction to modern and classical Algebraic
Geometry guiding the student to areas of actual
research in classical Algebraic Varieties, Computer
Algebra, Moduli Spaces, Invariant Theory, Complex
Analytic Geometry and Singularity Theory.
The programme includes accompanying lectures in Algebra,
Topology and Differential Geometry. In Algebraic
Geometry zero loci of systems of polynomial and
anlytic equations are investigated using a diversity
of algebraic, analytic and geometric methods. Computer
Algebra provides and develops algorithms for symbolic
calculations allowing to compute properties of varieties,
modules and singularities in concrete cases. The
efficient use of such algorithms is part of the programme.
Financial Mathematics
Recent changes in the world of finance like the
evolution of complicated financial instruments and
the legal demands for risk management require a
working knowledge of high-level stochastics in banks,
insurance companies and consulting firms. This programme
provides the basis for modelling and analyzing financial
data (discrete financial time series, continuous-time
stochastic processes, statistics and neural networks)
which is needed for applications like forecasting of
stock prices and foreign exchange rates, credit
scoring, option pricing and financial risk quantification.
A basic training in optimization and operations research
techniques is included to provide the necessary tools
for e.g. portfolio construction.
Functional Analysis and Probability
The areas of functional analysis and probability have
a particular large scope of connections to other parts
of both pure and applied mathematics. More specifically,
this part of the programme introduces the students to inverse
problems, operator theory, stochastic analysis,and geometric
measure theory and a rich variety of related fields. These
subjects are treated both as fields of active current
research in their own right and as useful tools for other
areas of science.
Industrial Mathematics: Modelling and Scientific Computing
The programme "Industrial Mathematics" teaches how to
apply advanced analytical and computational methods
to technological problems in industry. Mathematical
modelling and scientific computing are the key words;
the programme profits strongly from numerous
cooperations of the nearby "Institute for Industrial
Mathematics" with German and international industry and
from the excellent computer equipment of the department
and the Institute. The staff responsible for the programme
consist of the "Technomathematics Group", which is the
inventor of Technomathematics programmes spreading out
all over the world, has great experience in international
cooperations inside Europe ("European Consortium for
Mathematics in Industry") and with Third World countries
(close partnerships with universities in Nepal, Indonesia
and India).
A PhD programme "Technomathematics" also exists with at
the present more than 20 PhD students. The "heart" of
the programme are modelling seminars, in which groups
of 4-5 students work on a real world problem posed in
non-mathematical terms, develop a model and a computer
programme to evaluate it and interpret the results. Good
modelling needs good knowledge in applied mathematics
and algorithms.
Optimization and Statistics
This programme focusses on mathematical methods which
are used in advanced decision support systems of management
science and econometrics. Modern statistical technology
(general linear models, nonparametric models, neural networks,
time series and other applied stochastic processes) are
combined with state of the art methods in mathematical
optimization (linear and nonlinear programming, discrete
optimization, locational planning,scheduling, multicriteria
optimization). This will enable the students to work
successfully both on scientific and real-world problems.
The latter ability will be trained during the management
mathematics programme in joint projects with partners
from industry. Participants of the programme will additionally
take classes in general mathematics and -as minors - computer
science and business administration.
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APPLICATION FORM
UNIVERSITAET KAISERSLAUTERN
Fachbereich Mathematik
Postfach 3049
D-67653 Kaiserslautern
GERMANY
Bewerbungsbogen Bitte mit Schreibmaschine
Application Form oder Blockschrift ausfuellen
Please use typewriter
or capital letters
Mathematics International
mit der Vertiefungsrichtung
specializing in
( ) Algebraic Geometry and Computer Algebra
( ) Financial Mathematics
( ) Functional Analysis and Probability
( ) Industrial Mathematics ---------------
( ) Optimization and Statistics
Photo hier
festkleben
Name: ...............................
Bitte den Hauptnamen unterstreichen
Surname (Please underline main name)
Affix photo
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Vorname: ............................
First name
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Staatsangehoerigkeit: ................
Nationality
Adresse (privat): ............................................
Address (private)
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Adresse (dienstlich): ........................................
Address (official)
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Geburtsdatum: ........ Geburtsort: .......................
Date of birth Place of birth
Familienstand: ......... Zahl der Kinder: ..................
Marital status Number of children
Sprachkenntnisse:
Command of languages
A) Deutsch: gut ( ) ausreichend ( ) gering ( ) keine ( )
German good fair poor nil
B) English: gut ( ) ausreichend ( ) gering keine ( )
English good fair poor nil
Ausbildung:
Education
Universitaet(en) oder Hochschule(n): besucht von-bis
University(ies) or College(s) (Jahr/Monat)
attendance from-to
(year/month)
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Hauptfach/Nebenfach:
Main subject/subsidiary
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Abgelegte Hochschulexamen:
University examination
Datum und Art der Pruefung Examensergebnis
Date and Type of examination Result of examination
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Berufliche Taetigkeit:
Professional occupation
Universitaet/Hochschule Position von-bis
oder sonstige Institution Position (Jahr/Monat)
University/College or
other institution from-to
(year/month)
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Warum moechten Sie am Programm in der angegebenen Vertiefungsrichtung teilnehmen?
Why do you wish to participate in the programme in the chosen speciality?
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Haben Sie schon irgendeine Idee, wie und wo Sie die erworbenen Kenntnisse spaeter einsetzen werden?
Do you already have an idea how and where to apply your acquired knowledge later on?
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Haben Sie bereits an einer deutschen Universitaet oder Hochschule studiert?
Have you already studied at a German university or college?
Ja ( ) Nein ( )
Yes No
Auf welche Weise haben Sie von diesem Studiengang erfahren?
How did you hear about the study programme?
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Bitte fuegen Sie diesem Antrag die folgenden Unterlagen bei:
Please enclose the following documents
- Beglaubigte Fotokopien der Original-Zeugnisse
Certified copies of your original certificates
- Empfehlungsschreiben
Recommendations
- Ausfuehrlicher Lebenslauf
Detailed curriculum vitae
- Nachweis eines Stipendiums bzw. ausreichender Eigenmittel
fuer die Dauer des Aufenthaltes in Deutschland oder
formloser Antrag auf ein Stipendium
Evidence of a scholarship, resp. enough personal funds
for the period of your stay in Germany, or a
formless application for a scholarship
- Nachweis ausreichender Englischkenntnisse
Certification of English Language Knowledge (i.e. TOEFL:
minimum 540 or ELTS-test of British Council:
minimum Volume 5)
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(Ort) (Datum)
(Place) (Date)
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Unterschrift
(Signature)
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