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Faculty of Mathematics
Offers for schools

Offers for schools

School classes can find out more about the work of a mathematician if they visit the faculty of mathematics. Of course we are always happy to present our study opportunities in mathematics, mathematics joint with computer science education, financial mathematics, industrial mathematics and business mathematics. School classes can also learn how to use the mathematical software in the faculty’s computer pool.

At the beginning of winter and summer semesters (October and April), there is the possibility to take part in selected regular courses for a period of 8 weeks. The trial course offers the opportunity to participate as a guest in a lecture or tutorial at the faculty and thereby develop a feeling for everyday university life. We are happy to design an individual program, including project days, upon request.

Contacts:
Dr. Frank Göring
frank.goering@...
Phone: +49 371 531 34124

Dr. Roman Unger (Computer pool)
mrz@...
Phone: +49 371 531 34472

The faculty of mathematics traditionally supports selected students from Saxony with special achievements in mathematics. We are happy to accept suggestions from math teachers about talented students they supervise.

For interested students from the schools in the Chemnitz area, the faculty staff can organize seminars on a weekly or fortnightly basis (divided into grades 9/10 and 11/12) that take place at the school or at the Chemnitz University of Technology. In addition to the treatment of selected mathematical sub-areas, Olympic training is also carried out.

Contacts:
Dr. Ralf Hielscher
ralf.hielscher@...
Phone: +49 371 531 38556

Dr. Frank Göring
frank.goering@...
Phone: +49 371 531 34124

A correspondence circle “Mathematics” is offered by the Chemnitz District Committee "for the promotion of mathematically and scientifically interested students" to support students of grades 7 to 12 interested in mathematics. The circle is based on mathematical problems which, in addition to imparting knowledge of terms, sentences and procedures, support the preparation of mathematical competitions (Olympiads, federal competition "Mathematics") through tasks that are typical for such competitions. All interested students from Saxony can participate in their (or even in a higher) class level.

Each student receives tasks in 7 series. The submitted solutions are corrected, scored for points for self-assessment and returned together with sample solutions. The content of the circle is supplemented by working materials, informations on the competitions as well as references.

Contact for participation in the correspondence circle in grades 11 ans 12:
Eric Legler
eric.legler@...
Phone: +49 371 531 31934

If necessary, employees and students of the TU Chemnitz provide support in the implementation and evaluation of the regional and state level of the Mathematical Olympiad for students in grades 9 to 12 and the federal rounds.

In addition to the usual provision of proofreaders for the regional round in Chemnitz, support can also be provided in the regional school office in Zwickau, if desired. If this could also result in personal contacts with particularly talented students, it would certainly be promising in the long term.

Contacts:
Dr. Ralf Hielscher
ralf.hielscher@...
Phone: +49 371 531 38556

Dr. Frank Göring
frank.goering@...
Phone: +49 371 531 34124

The following links may help you to refresh your knowledge from the high school in the field of mathematics by working online on exercises about different topics.

Online math basics tutorial (high school level)
Online exercise on stochastic/statistics (high school level)
Placement tests for the bridge courses
Math quiz for high school students (Abiturstufe)

Contact:
Dr. Franziska Nestler
franziska.nestler@...
Phone: +49 371 531 32838

The faculty of mathematics offers interesting tasks for the 14-day student internship in grades 9 and 10. Results of internship work from previous years can be viewed on the faculty’s website.

Examples are:
  • Construction of a LEGO Mindstorms robot for path tracking
  • Investigation of the mathematical background of the Bastelmathz box
  • Examination of the mathematical background of the Spielmathz box
  • Ranking in social networks

From our applicants for the internship, we expect a high degree of diligence, discipline and commitment, as well as creativity. Basic knowledge of the computer is desirable. Applications from students who participate in the correspondence mathematical circle and have mathematical Olympiad experience are expressly welcome.

Please send written applications to:
TU Chemnitz
Fakultät für Mathematik
Dr. Ralf Hielscher
09107 Chemnitz

Dr. Ralf Hielscher
ralf.hielscher@...
Phone: +49 371 531 38556

TU Chemnitz
Fakultät für Mathematik
Dr. Frank Göring
09107 Chemnitz

Dr. Frank Göring
frank.goering@...
Phone: +49 371 531 34124

Employees of the faculty of mathematics are willing to supervise project work of interested high school students in cooperation with their teachers.

It is possible to provide a special learning achievement (BeLL). Individual and interest-oriented learning is the focus of BeLL. Students who perform BeLL can have the opportunity to participate in the national competition "Jugend forscht".

Examples of already done works are:
  • Strange tiling on the level (Dr. Göring)
  • Geometric properties of special tetrahedra (Prof. Martini)
  • Chaos and Systems- Creation of modern simulation programs for the content of the book "Chaos and Systems" M.J. Canty (Prof. Junghanns)
  • Cauchy-Frobenius-Burnside Lemma (Prof. Potts)
  • Programming a ray tracer (Dr. Unger)

Contacts for interested people:
Dr. Ralf Hielscher
ralf.hielscher@...
Phone: +49 371 531 38556

Dr. Frank Göring
frank.goering@...
Phone: +49 371 531 34124

Under this heading, the faculty offers interesting lectures of 60 to 90 minutes for grades 11 and 12. The lectures can be organized at the TU Chemnitz, but also in the high schools of the city and of the surrounding area. There are no costs for the schools. The lectures show the connections to several areas of science and our life and make a contribution to preparing for the final exam and for later studies or professional life.

The following lectures are currently on offer:

  • Postmen and marriage problems (Prof. Christoph Helmberg)

    How can a postman use a computer program to determine the shortest circular route that runs through all the streets that the messenger has to visit at least once? The lecture provides an answer to this, in which, in a historical trip from Euler, the task is first shown in an abstract computerized manner on graphs. The next step is the route planning used today in every navigation device with Dijkstra algorithm. In the last step, the mating or marriage problem is explained, which is also used in partner exchanges and with which the best choice of the roads to be crossed for a circular route is made. The lecture ends with an outlook on the related but much more difficult to deal with round trip problem of parcel carriers and its applications. All knowledge required for the lecture is elementary and easy to understand in lower secondary education.
  • If someone is planning a trip...(Prof. Christoph Helmberg)

    How do you organize a trip with the shortest possible travel time or route so that all planned sights are visited? Such tasks are faced by parcel carriers every day for delivery of the innumerable Internet orders and in many other industrial applications with significantly many items to be visited. Although formulated quickly and easily understandable, the task with the computer in general form is very difficult to solve. The lecture explains the task with its areas of application, gives a first insight into algorithmic complexity considerations, explains some simple approaches for determining cheap round trips with guaranteed quality and finally discusses the basic idea of the currently most powerful methods of linear optimization. Except for the last method, all considerations are elementary, but for a rough understanding of the ideas in the last part, scalar product between vectors is a necessary prerequisite.
  • What does a mathematician understand by chaos? (Prof. Peter Junghanns)

    On the basis of convergent sequence, we examine a population model for its long-term behavior. We use different ways of graphically representing this behavior and discover chaotic behavior of sequences of numbers.
  • M.C. Escher - Mathematics and Art (Prof. Horst Martini)

    The work of the painter M.C. Escher can be divided into three main areas: firstly, it relates to flat ornaments (with artistic variations of the “building blocks”), secondly, to the representation of the three-dimensional geometric conditions, and finally to his very popular, impossible figures, in which the loss of a dimension is trickily exploited in the two-dimensional imaging of three-dimensional figures. In the lecture, these geometric phenomena and their backgrounds are explained in detail.
  • The Riemann Hypothesis (Prof. Alois Pichler)

    "The music of the prime numbers. On the trail of the greatest puzzle in mathematics" is the name of Marcus du Sautoy’s (Univ. Oxford) book on the history of the Riemann Hypothesis. So what is this conjecture that was formulated over 150 years ago? In this lecture we will go on a search of traces: we try to understand the conjecture and also why it is still not understood today.
  • Mathematics for life (Prof. Daniel Potts)

    Computed tomography and magnetic resonance imaging are imaging methods that are considered important medical aids nowadays. These diagnostic methods are based on reconstruction of images to show the structures and functions of the tissues and organs in the body. In computed tomography, the object to be imaged is X-rayed, while magnetic resonance imaging is based on electromagnetic excitation of atomic nuclei.

    Like a variety of everyday technologies, these methods are based on mathematical processes. The Austrian mathematician Johann Radon created the basis for computed tomography in 1917. Magnetic resonance imaging is crucially based on Fourier analysis, that was initiated by Joseph Fourier (1768-1830).

    In the lecture there will be explained how computed tomography is made possible by mathematical methods. One focus will be the fast algorithms, which are the basis for compression methods such as MP3 or JPEG.
  • How much mathematics is in Talmud? (Prof. Vladimir Shikhman)

    The Talmud is considered one of the most important works in Judaism. It shows how the legal texts from the Torah were understood and interpreted by rabbis in practice and in everyday life. Many of them deal with legal and economic issues, e.g., if after the insolvency of a debtor, his existing assets are insufficient to settle the total claims. Solving the Talmud’s bankruptcy problem has been a mystery to rabbis for centuries. All attempts to explain failed until the future Nobel Prize winner Robert Aumann applied the principles of mathematical game theory.
  • Democracy or autocracy: what does the prohability calculation say? (Prof. Vladimir Shikhman)

    Which form of government is better, democracy or autocracy? This depends on the likelihood of making a right decision collectively or individually. We present the corresponding mathematical model and, depending on the expertise of the decision-makers, examine whether it is worthwhile to team up or let an individual decide. The Condorcet jury-theorem is explained.
  • From Amazon to Netflix: The mathematics of data (Prof. Martin Stoll)

    What should I stream from Stranger Things after season 2? Which running shoe should I buy best? Recommendation systems have become an integral part of everyday online life. A lot of math is required to process efficiently the underlying large amounts of data and to discover new series, suitable products or love for life. In this lecture we will learn the basics of recommendation systems and some mathematical techniques and terms that allow us to learn from the data.
  • Mathematics and signal processing (Prof. Tino Ullrich)

    MP3, digital photos and videos have become an integral part of our modern world. Almost everyone carries a smartphone with them, which would not exist without math and signal processing. This lecture gives a clear overview of the acquisition, storage and MP3 compression of audio data with music samples. Image compression is also explained step by step using the JPEG format, which is used for image storage in all current cameras and smartphones.

If you are interested in the above mentioned topics, we would be delighted if you contact us. If you are interested in topics that are different from those listed here, we will be happy to deal with them according to our possibilities.

Contact:
Dr. Frank Göring
frank.goering@...
Phone: +49 371 531 34124

The bastelMATHz box is a box full of handicraft instructions, geometric experiments and graphic painting games that encourage you to deal with mathematical topics. It was developed by Ms. Fenrich (MufKi, now merged into the Haus der Entdecker) in collaboration with the Chair for Algorithmic and Discrete Mathematics for use in all types of schools.
The bastelMATHz box can be borrowed from the city media office in Chemnitz, the media offices in Freiberg, Zwickau and Plauen and the media education center Annaberg Buchholz. It was first publicly presented on Monday, October 5, 2009, at the Tietz as part of the public award ceremony and exhibition opening of the Mathematics 2009 learning poster competition.
The SpielMATHz box is a box full of games that stimulate the study of mathematical topics. It was developed by the Chair for Algorithmic and Discrete Mathematics in collaboration with the Fenrich family (MufKi) and Ralph Sontag (GS Harthau math island) for use in primary schools. The SpielMATHz box can currently be borrowed from the city of Chemnitz for the entire administrative district, and the Freiberg, Zwickau and Plauen media offices are also equipped with SpielMATHz boxes. It was first presented to the public on Monday, December 8, 2008, in the Tietz as part of the public award ceremony and exhibition opening of the mathematics learning poster competition.

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