Seminar of Contemporary Mathematics 1

Course guarantor:

Edita Pelantová, Matěj Tušek

Lecturer:

Tutor:

Edita Pelantová, Matěj Tušek

Supervisor:

Department of Mathematics

Synopsis:

The seminar offers a different perspective on areas of mathematics traditionally included in

curricula, as well as areas that are not part of the basic mathematics course.

Requirements:

Prerequisites: Knowledge of linear algebra and mathematical analysis at the level of the first year of bachelor's studies at FJFI is assumed.

Assessment requirements: active participation (no more than two absences), a short presentation on a chosen mathematical topic

Syllabus of lectures:

Some of the lectures will be given by visiting KM collaborators, while others will be covered by students' contributions. The syllabus may therefore vary from year to year.

Syllabus of tutorials:

The subject is a seminar.

This seminar provides a different approach to those fields of mathematics that are included in curriculum but also to those that are not part of basic courses of mathematics.

Study Objective:

Knowledge:

Overview in modern trends in mathematics.

Skills:

While working on simpler problems or researching a chosen topic, students will learn the basics of scientific work and then practice their presentation skills.

Study materials:

Presentations by individual lecturers are published on the course website; additional study literature is assigned to students individually according to the topic chosen for independent homework.

Obligatory:

[1] P.J. Davis, R. Hersh, The mathematical experience, Birkhauser Boston, 1981

Recommended:

[2] M. Aigner, G. M. Ziegler, Proofs from THE BOOK, Springer-Verlag, 2004

Note:

Time-table for winter semester 2025/2026:

Time-table is not available yet

Time-table for summer semester 2025/2026:

Time-table is not available yet

The course is a part of the following study plans:

• Aplikovaná algebra a analýza (elective course)
• Aplikované matematicko-stochastické metody (elective course)
• Matematické inženýrství - Matematická fyzika (elective course)
• Matematické inženýrství - Matematická informatika (elective course)
• Matematické inženýrství - Matematické modelování (elective course)