Course: Differential geometry on manifolds

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Course title Differential geometry on manifolds
Course code KAG/DG
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Peška Patrik, RNDr. Ph.D.
Course content
unspecified

Learning activities and teaching methods
Monologic Lecture(Interpretation, Training)
Learning outcomes
The aim of the course is to acquaint students with the differential geometry on the manifolds. The student will learn the basics of tensor calculus and analysis, which appears in this topic as a necessary apparatus.
Explains the concept of Reimann's geometry.
Prerequisites
Basic knowledge of integral and differential calculus and analytical geometry is assumed.

Assessment methods and criteria
Student performance

Recommended literature
  • Doupovec, M. (1999). Diferenciální geometrie a tenzorový počet. VUT Brno.
  • Isham C. J. (1989). Modern Differential Geometry for physicists. World Scientific.
  • J. Mikeš, M. Sochor. (2015). Diferenciální geometrie ploch v úlohách. Olomouc.
  • Kulhánek Petr. (2016). Obecná relativita. Praha.
  • Mikeš J. et al. (2019). Differential Geometry of Special Mappings. Olomouc.
  • Podolský J. (2006). Teoretická mechanika v jazyce diferenciální geometrie. UK Praha.
  • Tahalová, L. (2001). Visual Basic v příkladech. Praha : BEN, 191 s.
  • Tapp Kristopher. (2016). Differential Geometry of curves and surfaces. Switzerland.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Mathematics (2023) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter