Algebra proseminar - NMAG261
Title: Proseminář z algebry
Guaranteed by: Department of Algebra (32-KA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: summer
E-Credits: 2
Hours per week, examination: summer s.:0/2, C [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Additional information: https://www2.karlin.mff.cuni.cz/~stanovsk/vyuka/proseminar.htm
Guarantor: doc. RNDr. David Stanovský, Ph.D.
Teacher(s): Mgr. Ondřej Ježil
Mgr. Maryia Kapytka
RNDr. Alexander Slávik, Ph.D.
doc. RNDr. David Stanovský, Ph.D.
Class: M Bc. OM
M Bc. OM > Zaměření MSTR
M Bc. OM > Doporučené volitelné
M Bc. OM > 2. ročník
Classification: Mathematics > Algebra
Incompatibility : NALG032
Interchangeability : NALG032
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Annotation -
This seminar expands on the material of introductory algebra courses. It includes topics from number theory, algebraic geometry, and computer algebra.
Last update: G_M (15.05.2012)
Course completion requirements - Czech

Kombinace bodů za úspěch v kahootu na semináři a za řešení domácích úloh, podrobněji viz web kurzu https://www2.karlin.mff.cuni.cz/~stanovsk/vyuka/proseminar.htm

Last update: Stanovský David, doc. RNDr., Ph.D. (05.02.2025)
Literature -

D. Stanovský, Základy algebry, Matfyzpress.

J. Rotman, A First Course in Abstract Algebra

L. Rowen, Algebra: Groups, Rings, and Fields

various materials to the special topiucs (wikipedia often serves well)

Last update: Stanovský David, doc. RNDr., Ph.D. (31.01.2024)
Syllabus -
  • applications of groups and finite fields in computer science (codes, designs, cryptography)
  • introductory lectures to more advanced disciplines (algebraic geometry, algebraic topology)
  • more on the structure of finite groups, ring theory, Galois theory, ...
  • other topics according to the interest of participants

Last update: Stanovský David, doc. RNDr., Ph.D. (29.10.2019)
Entry requirements - Czech

Proseminář je navázán na přednášku NMAG206 Algebra, jejíž obsah rozšiřuje a doplňuje. Předpokládá se, že student má kurz NMAG206 paralelně zapsaný (pokud ho neabsolvoval dříve).

Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (17.02.2022)