applications and specialization - tu chemnitz · integral methods, orthogonal polynomials,...
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Advanced and Computational Mathematics
-Real-world Problem
-New Knowledge
Application Modelling
Computation
Optimization-Mathematical model
Nowadays the use of mathematics is indispensable for an efficient treatment of complex real-world problems coming from engineering, computer science, economics, finance etc. To list a few but rather influential and striking examples, we refer to household automatic control systems, Google ranking, portfolio optimization, weather forecasting or big data analysis. Here, the first step is to identify essential variables and model those links between them which crucially determine a real-world problem. This then allows to analyze the resulting mathematical model in a quantitative way. In particular, computation and optimization issues become important in order to obtain new cutting-edge knowledge about the problem and its solution. We arrive at a more thorough understanding and efficient treatments of the real-world application.
Basic courses
18ECTS
Optimization MethodsNonlinear Optimization
Algorithms for Convex Optimization
Algebraic and Geometric MethodsAlgeabraic and Differenial Geometry
Topology and Complex Geometry
Data ScienceMachine Learning, Big Data Analytics
Matrix Methods, Statistics
Stochastic ModelsStochastic Analysis
Stochastic Processes
18ECTS
sem. 1
and 2
Applications and Specialization
Optimization with PDEs, Optimization under Uncertainty, Randomized Algorithms andOnline Optimization, Combinatorial Optimization, Infinite-Dimensional Optimization
Inverse Problems, Regularization Theory and Practice, Fast solvers for PDEs, Model Reduction, Fourier Analysis, Introduction to Wavelets, Analysis and Numerics of
Integral Methods, Orthogonal Polynomials, Distributions and Differential Operators
Graph Theory, Singularity Theory, Game Theory, Mathematics of Big Data, AlgebraicGeometry, Convex and Toric Geometry, Low-dimensional geometry and topology
Time Series Analysis, Quantitative Finance, Asymptotic and Extreme Value Statistics,Mathematical Methods od Uncertainty Quantification, Methods of Algebraic Statistics
Minor inMechanical Engeneering, Electrical Engineering and Information Technology,
Computer Science, Economics and Business Administration
24ECTS
3 Research Seminars and/or Summer schools
Master Thesis
Ph.D. program
Seminars, additional lectures
Research for Ph. D. Thesis
18ECTS
12ECTS
sem.3
and 4
30ECTS
sem6 to 10
Master program
(Advanced Theoretical Mathematics, Computational Mathematics, Data Science)
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Basics for the Master program (Phase 1)There is no admission restriction for this degree program. However, there will be a review of the credits which were obtained in the previous study program (usually within a Bachelor program). Normal period of study: 4 semestersDegree: MasterStart of study: in winter or summer term
Basics for the Ph.D. program (Phase 2)Students with excellent results in their Master degree (externally or in Phase 1) qualify for the Ph.D. program.
Normal period of study: 6 semestersDegree: Ph.D.Start of study: in winter or summer term.
https://www.tu-chemnitz.de/mathematik/mscphd/index.phphttps://www.tu-chemnitz.de/mathematik/mscphd/content.php
All information around this program:
Apply using the form available athttps://www.tu-chemnitz.de/mathematik/mscphd/admission_form.pdfTogether with the form, please hand in the following documents: - curriculum vitae (with a description of your school career) - a list of all passed mathematical courses with a short description of contents - a list of all passed exams - two recommendation letters - Certified copy/translation into English or German of the bachelor's or Master's degree certificate, respectively
Please send your application with the complete documents to: Technische Universität Chemnitz Studentensekretariat Abteilung Zulassung ausländischer Studienbewerber 09107 Chemnitz GermanyIn order to process applications as quickly as possible, it would be helpful to send a copy of all of the documents mentioned above as a single pdf-file to [email protected]
Application
Dr. Thomas [email protected]: +49 371 531 34991
Academic advisor for the international Master and Ph.D. program
International Master- andPh. D. Program in MathematicsFaculty of Mathematics
Master- and Ph. D. Program
The integrated Master- and Ph.D. programat the Chemnitz University of Technologyleads after four semesters to the masters degree and after additional six semesters to the Ph. D.