{ccomment off}

# Welcome to Mathematical Duel - international mathematical competition website.

**Mathematical Duel as an Erasmus+ Project since 2014**

Mathematical Duel is supported by the EU project Erasmus+.

Project Name: Mathematical Duel Plus 2015-17

Project Number: 2014-1-AT01-KA201-000908

Coordinator: Bernd Thaller (Karl-Franzens Universität Graz)

Project Management: Lukas Andritsch (Karl-Franzens Universität Graz)

**A Brief Introduction**

**Partner schools:**

Bundesrealgymnasium Graz, Keplerstraße 1, 8020 Graz, Austria

Gymnázium Jakuba Škody, Komenského 29, Přerov, 750 11, Czech Republic

Gymnázium Mikuláše Koperníka, 17. listopadu 526, Bílovec, 743 11, Czech Republic

Akademicki Zespol Szkol Ogolnoksztalcacych im. Juliusza Słowackiego, ul. Dąbrowskiego 36, 41-500 Chorzów, Poland

**Further Partner Institutions:**

Karl-Franzens Universität Graz, Universitätsplatz 3, 8010 Graz, Austria

Univerzita Palackého v Olomouci, Křížkovského 8, 771 47 Olomouc, Czech Republic

Uniwersytet Śląski w Katowicach, Bankowa 12, 40-007 Katowice, Poland

**Project Description – History of the Mathematical Duel**

In each of the past 24 years, students from the partner schools have been meeting to participate in the „Mathematical Duel” (in the first three years, only the schools in Bílovec and Chorzów participated, with the school in Graz joining then, and Přerov finally joining several years later). The structure of this so far has been as follows:

Schools take turns as hosts of the competition. In each year, each of the schools form three teams of four students each, in the categories A (students from 17 to 18), B (students from 15 to 16) and C (students under 15), for a total of 12 students per school, or 48 students altogether. (In some years, other schools have been invited as guests, and they have taken part either in one or two or all three categories.) The students then each write two mathematical papers. There is an individual competition (4 olympiad-style problems to be solved in 150 minutes) and a team competition (in which students work together in their teams to produce a common solution to each of three olympiad-style problems in 90 minutes). Different questions are posed in each of the categories, appropriate to the age of the students.

In addition to the mathematical project content, students have the opportunity to see a local attraction, and group visits to local museums and historical sites have typically been organised on one day. This gives the students from the different countries a chance to interact, fostering trans-cultural communication. Also, students often use this time to talk about their mathematical interests. Since the students invited to take part in the Mathematical Duel are typically involved in their local mathematical olympiads, visiting preparatory courses and generally furthering their interests in mathematics far beyong the standard mathematics offered in their regular classes in school, they often have shared experiences in their respective countries concerning qualification to higher-level competitions, or simply common mathematical interest. The common excursions give them an excellent opportunity to further their common interests and to meet people with these common interests.

In the last years, booklets have been published containing the collected problems of the competitions with solutions as well as the results tables of the competitions.

**Problem Collection: Mathematical Duel '08** (Robert Geretschläger, Jaroslav Švrček, Pavel Calábek and Józef Kalinowski), Olomouc 2008, ISBN 978-80-244-1989-3

**Problem Collection: Mathematical Duel '10** (Robert Geretschläger, Jaroslav Švrček, Pavel Calábek and Józef Kalinowski), Olomouc 2010, ISBN 978-80-244-2523-8

**Problem Collection: Mathematical Duel '11** (Robert Geretschläger, Jaroslav Švrček, Pavel Calábek, Józef Kalinowski and Jacek Uryga), Olomouc 2011, ISBN 978-80-244-2760-7

**Problem Collection: Mathematical Duel '12** (Robert Geretschläger, Jaroslav Švrček, Pavel Calábek, Józef Kalinowski and Jacek Uryga), Olomouc 2012, ISBN 978-80-244-3029-4

**Problem Collection: Mathematical Duel '13 **(Robert Geretschläger, Jaroslav Švrček, Pavel Calábek, Józef Kalinowski and Jacek Uryga), Olomouc 2013, ISBN 978-80-244-3465-0

**Problem Collection: Mathematical Duel '14 **(Robert Geretschläger, Jaroslav Švrček, Pavel Calábek, Józef Kalinowski and Jacek Uryga), Olomouc 2014, ISBN 978-80-244-4061-3

**Problem Collection: Mathematical Duel '15 **(Robert Geretschläger, Jaroslav Švrček, Pavel Calábek, Józef Kalinowski, Gottfried Perz and Jacek Uryga), Olomouc 2015, ISBN 978-80-244-4650-9

**Problem Collection: Mathematical Duel '16 **(Robert Geretschläger, Jaroslav Švrček, Pavel Calábek, Józef Kalinowski and Jacek Uryga), Olomouc 2016, ISBN 978-80-244-4926-5

**Problem Collection: Mathematical Duel '17 **(Robert Geretschläger, Jaroslav Švrček, Pavel Calábek, Józef Kalinowski and Jacek Uryga), Olomouc 2017, ISBN 978-80-244-5134-3

A book by Robert Geretschläger, Jaroslav Švrček, and Józef Kalinowski, collecting the problems of the first 4! = 24 years of the competition is in preparation, and is planned for publication in World Scientific Press in 2017.

**The Mathematical Duel as an Erasmus+ Project**

Since 2014, the Duel has been incorporated in the current Erasmus+ project. As a result, the scope of the competition days was enlarged. The main change was to extend the competition from four to five days, in order to conform to the standards of student mobility as fits the structure of Erasmus+. The additional day is used for mathematical and scientific activities for the participating students, as well as for some research activities by the universities relating to the students’ activities and interests.