MU01115 Proseminar in Mathematics I

Mathematical Institute in Opava
Winter 2017
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Petr Blaschke, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Michal Málek, Ph.D.
Mathematical Institute in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of this proseminar is to familiarize students with the history and connections between different mathematical disciplines, which students will meet during their studies. At the same time we will talk about open problems and challenges of contemporary mathematics.
Syllabus
  • The Seminar will be devoted to various mathematical disciplines, which students will meet during their studies to a greater or lesser extent, and connections between them, both from a historical perspective and also from the perspective of contemporary modern science. Students will learn how and why complex numbers have developed and get a brief introduction to topology. We'll talk about infinite sets,
    and infinite sums, about the Pythagorean theorem and its connections with the university mathematics, about fractals and chaos, about solving a 5th degree polynomial equation and group theory, of graph theory, a non-Euclidean geometry, the history of the calculus e discovery and number theory and coding.
Literature
    recommended literature
  • Loren C. Larson. Metódy riešenia matematických problémov. Bratislava, 1990. ISBN 8005006276. info
  • Loren C. Larson. Problem-Solving Through Problems. 1983. ISBN 038790803X. URL info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
Written solutions of given problems.
The course is also listed under the following terms Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2018, Winter 2019, Winter 2020, Winter 2021, Winter 2022, Winter 2023, Winter 2024.
  • Enrolment Statistics (Winter 2017, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2017/MU01115