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Course, academic year 2024/2025
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Geometry 2 - NMAG212
Title: Geometrie 2
Guaranteed by: Mathematical Institute of Charles University (32-MUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2024
Semester: winter
E-Credits: 5
Hours per week, examination: winter s.:2/2, C+Ex [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
Guarantor: doc. RNDr. Roman Lávička, Ph.D.
Teacher(s): doc. RNDr. Roman Lávička, Ph.D.
prof. RNDr. Jan Rataj, CSc.
Class: M Bc. MMIT
M Bc. MMIT > Doporučené volitelné
M Bc. MOD
M Bc. MOD > Povinně volitelné
M Bc. OM
M Bc. OM > Zaměření MA
M Bc. OM > Zaměření MSTR
M Bc. OM > Zaměření NUMMOD
M Bc. OM > Povinně volitelné
Classification: Mathematics > Geometry, Mathematics General
Pre-requisite : {One 1st year Analysis course}
Is pre-requisite for: NMAG351, NMMA351, NMNM351
Annotation -
Introduction to differential forms, Stokes Theorem and differential geometry of surfaces.
Last update: Šmíd Dalibor, Mgr., Ph.D. (13.05.2022)
Course completion requirements -

The exam will be written. The student will receive credit for homework.

Last update: Lávička Roman, doc. RNDr., Ph.D. (24.09.2024)
Literature - Czech

R. Černý, M. Pokorný: Základy matematické analýzy pro studenty fyziky 3, MatfyzPress, 2023.

J. Kopáček: Příklady z matematiky pro fyziky III, MatfyzPress, 2002.

L. Boček: Příklady z diferenciální geometrie, skripta MFF UK, Praha, 1974.

P.M.H. Wilson: Curved Spaces, Cambridge, 2008.

Last update: Lávička Roman, doc. RNDr., Ph.D. (12.12.2024)
Requirements to the exam -

Requirements to the exam correspond to the syllabus to the extent to which topics were covered during lectures and tutorials.

Last update: Lávička Roman, doc. RNDr., Ph.D. (24.09.2024)
Syllabus -

Vector calculus, exterior algebra, differential forms, Stokes, Green and Gauss theorems, Differential geometry of surfaces, Geodesics, Riemann metrics, models of hyperbolic geometry.

Last update: Šmíd Dalibor, Mgr., Ph.D. (13.05.2022)
 
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