Diploma seminar

2022/2023
Programme:
Mathematics, First Cycle
Year:
3 year
Semester:
first and second
Kind:
mandatory
ECTS:
7
Language:
slovenian
Hours per week – 1. semester:
Lectures
0
Seminar
2
Tutorial
0
Lab
0
Hours per week – 2. semester:
Lectures
0
Seminar
2
Tutorial
0
Lab
0
Prerequisites

Completed course Seminar.

Content (Syllabus outline)

With the help of all lecturers from Department of mathematics, the seminar leader prepares a sufficient number of short independent topics with the relevant basic literature. Student, however, can look for additional sources. In the second semester, mathematicians in practice will present the employment opportunities to the students.

Readings

gradivo, ki ga pripravi vodja seminarja
S. Krantz: A primer of mathematical writing, American Mathematical Society, 1997.

Objectives and competences

The purpose of the course is a preparation and a final presentation of the final seminar work. The preparation of the seminar work starts and is mostly done in the first semester, the second semester is used for the finalization.

Intended learning outcomes

Knowledge and understanding: Students learn to look for additional sources and learn how to prepare a short presentation and write a seminar work.
Application: Gained experience will be of use during the course of study for other courses and later for work.
Reflection: The ability to connect new skills to the expertise.
Transferable skills: Gained experience will be of use during the course of study for other courses that require presentation or homework.

Learning and teaching methods

Each student prepares three presentations and a seminar paper in the length of 20 to 30 pages. In the first presentation, which lasts 15 minutes, a wider framework of the topic is presented along with the motivation and main results. In the second presentation, which lasts 45 minutes, part of the topic is presented in details with the emphasis on the substantive interpretation of the concepts. The final presentation, which lasts 20 minutes, presents the formal end of the study and can be done only after the student passes all the exams. A part of the presentation is a discussion where student has to answer questions from a wider field of the topic.

Assessment

Presentations grade
Seminar work grade

grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

KONVALINKA, Matjaž, PAK, Igor. Geometry and complexity of O'Hara's algorithm. Advances in applied mathematics, ISSN 0196-8858, 2009, vol. 42, iss. 2, str. 157-175. [COBISS-SI-ID 15545945]
KONVALINKA, Matjaž. On quantum immanants and the cycle basis of the quantum permutation space. Annals of combinatorics, ISSN 0218-0006, 2012, vol. 16, no. 2, str. 289-304. [COBISS-SI-ID 16310873]
KONVALINKA, Matjaž, SKANDERA, Mark A. Generating functions for Hecke algebra characters. Canadian journal of mathematics, ISSN 0008-414X, 2011, vol. 63, no. 2, str. 413-435. [COBISS-SI-ID 15872857]
OWENS, Brendan, STRLE, Sašo. A characterisation of the n<1>[oplus]<3> form and applications to rational homology spheres. Mathematical research letters, ISSN 1073-2780, 2006, vol. 13, iss. 2, str. 259-271. [COBISS-SI-ID 13873241]
STRLE, Sašo. Bounds on genus and geometric intersections from cylindrical end moduli spaces. Journal of differential geometry, ISSN 0022-040X, 2003, vol. 65, no. 3, str. 469-511. [COBISS-SI-ID 13135193]
STEFANOVSKA, Aneta, STRLE, Sašo, KROŠELJ, Peter. On the overestimation of the correlation dimension. Physics letters. Section A, ISSN 0375-9601. [Print ed.], 1997, vol. 235, str. 24-30. [COBISS-SI-ID 607828]