Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

Geometry 2 - NMAG212

Title:	Geometrie 2
Form of teaching:	lecture+practicals
Guaranteed by:	Mathematical Institute of Charles University (32-MUUK)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2024
Duration in semesters:	1
Semester:	winter
E-Credits:	5
Hours per week, examination:	winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Maximum number of enrolled students:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Repeated enrollment:	2 / 2 / 2 / 2

Guarantor:	doc. RNDr. Roman Lávička, Ph.D.
Teacher(s):	Dr. rer. nat. Ing. Jan Kotrbatý 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

Opinion survey results WS schedule Noticeboard

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. (14.08.2026)

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)

Course assessment methods and requirements for successful completion, grading scheme -

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)