Course: Proseminar in Mathematics I

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Course title Proseminar in Mathematics I
Course code MU/01115
Organizational form of instruction Seminary
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 2
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • KOPFOVÁ Jana, doc. RNDr. Ph.D.
  • HANTÁKOVÁ Jana, RNDr. Ph.D.
Course content
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.

Learning activities and teaching methods
unspecified
Recommended literature
  • Loren C. Larson. Metódy riešenia matematických problémov. Bratislava, 1990. ISBN 8005006276.
  • Loren C. Larson. Problem-Solving Through Problems. 1983. ISBN 038790803X.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Mathematics (2-F) Mathematics courses 1 Winter
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 1 Winter
Mathematical Institute in Opava Applied Mathematics (2014-IVT) Mathematics courses 1 Winter
Mathematical Institute in Opava Mathematics (2014-F) Mathematics courses 1 Winter
Mathematical Institute in Opava Applied Mathematics (2014-F) Mathematics courses 1 Winter
Mathematical Institute in Opava Mathematics (2014-IVT) Mathematics courses 1 Winter
Mathematical Institute in Opava Mathematics (1-IVT) Mathematics courses 1 Winter