Master's thesis and final exam

2022/2023
Programme:
Mathematics Education
Year:
5 year
Semester:
second
Kind:
mandatory
ECTS:
25
Language:
slovenian
Hours per week – 2. semester:
Lectures
0
Seminar
0
Tutorial
0
Lab
0
Content (Syllabus outline)

Suggested by Department’s teachers or by their own initiative students choose appropriate master’s thesis themes which they prepare based on the study of appropriate literature.
Final/comprehensive exam is oral. The student gets three questions, one from the field of Analysis, one from the field of Algebra and one from Geometry. Questions are chosen from a list of titles which are known in advance.

Readings

gradivo, ki ga pripravijo učitelji na Oddelku za matematiko
S. Krantz. A primer of mathematical writing. American Mathematical Society, 1997.

Objectives and competences

The course objective is the preparation and presentation of the master's thesis and the final / comprehensive exam.

Intended learning outcomes

Student acquires the ability for independent literature study, prepares and presents the master’s thesis. Student’s comprehensive mathematical knowledge is presented on the final exam. Acquired knowledge will be helpful in student’s future professional work as well as in possible advanced studies.

Learning and teaching methods

Each student writes master's thesis and passes the final / comprehensive exam. Especial emphasis is given to the final master's thesis presentation.

Assessment

Final exam
Master's thesis
Presentation of master's thesis
grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

Tomaž Košir:
GRUNENFELDER, Luzius, KOŠIR, Tomaž, OMLADIČ, Matjaž, RADJAVI, Heydar. Finite groups with submultiplicative spectra. Journal of Pure and Applied Algebra, ISSN 0022-4049. [Print ed.], 2012, vol. 216, iss. 5, str. 1196-1206. [COBISS-SI-ID 16183385]
KOŠIR, Tomaž, OBLAK, Polona. On pairs of commuting nilpotent matrices. Transformation groups, ISSN 1083-4362, 2009, vol. 14, no. 1, str. 175-182. [COBISS-SI-ID 15077977]
CVETKO-VAH, Karin, KOKOL-BUKOVŠEK, Damjana, KOŠIR, Tomaž, KUDRYAVTSEVA, Ganna. Semitransitive subsemigroups of the singular part of the finite symmetric inverse semigroup. Acta mathematica Hungarica, ISSN 0236-5294, 2011, vol. 131, no. 1-2, str. 1-24. [COBISS-SI-ID 15842905]
Barbara Drinovec Drnovšek:
DRINOVEC-DRNOVŠEK, Barbara, FORSTNERIČ, Franc. Strongly pseudoconvex domains as subvarieties of complex manifolds. American journal of mathematics, ISSN 0002-9327, 2010, vol. 132, no. 2, str. 331-360. [COBISS-SI-ID 15549529]
DRINOVEC-DRNOVŠEK, Barbara, FORSTNERIČ, Franc. Approximation of holomorphic mappings on strongly pseudoconvex domains. Forum mathematicum, ISSN 0933-7741, 2008, vol. 20, iss. 5, str. 817-840. [COBISS-SI-ID 15078745]
DRINOVEC-DRNOVŠEK, Barbara. Discs in Stein manifolds containing given discrete sets. Mathematische Zeitschrift, ISSN 0025-5874, 2002, vol. 239, no. 4, str. 683-702. [COBISS-SI-ID 11567449]