SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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Model Theory - NMAG407
Title: Teorie modelů
Guaranteed by: Department of Algebra (32-KA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: English, Czech
Teaching methods: full-time
Teaching methods: full-time
Additional information: http://www.karlin.mff.cuni.cz/~krajicek/mt.html
Guarantor: Dmitrii Zhuk, Ph.D.
Class: M Mgr. MMIB
M Mgr. MMIB > Povinně volitelné
M Mgr. MSTR
M Mgr. MSTR > Povinné
Classification: Mathematics > Algebra
Incompatibility : NLTM011
Interchangeability : NLTM011
Annotation -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (11.09.2013)
The course covers main parts of model theory with an emphasis on examples and methods important for applications of model theory in algebra, geometry and number theory.
Aim of the course - Czech
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (05.09.2013)

Cílem je porozumět základním metodám teorie modelů a způsobům jejich aplikací v kontextu algebry, geometrie či teorie čísel.

Course completion requirements -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (28.10.2019)

Students have to pass oral exam.

Literature -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (05.09.2013)

D. Marker, Model Theory: An Introduction (Springer, 2002).

Requirements to the exam -
Last update: doc. Mgr. Jan Šaroch, Ph.D. (12.10.2017)

The exam has an oral form. After receiving an exam question, the student has plenty of time to prepare written notes which he/she subsequently reproduces to the examiner. The requirements correspond to the extent of the material presented during lectures.

Syllabus -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (06.09.2013)

Basic concepts, methods and facts of model theory and examples of their applications in algebra, geometry and number theory.

Entry requirements -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (17.05.2019)

Basic knowledge of matematical logic.

 
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