Course: Differential Geometry

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Course title Differential Geometry
Course code KMA/M301
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study 2
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Loukotová Lucie, Mgr.
  • Bazaykin Yaroslav, doc. CSc., DSc.
Course content
unspecified

Learning activities and teaching methods
unspecified
Learning outcomes
Geometry and differential (integral) Calculus is used to study curves (cycloids, helix) and surfaces (ruled surfaces, surfaces of revolution). Frenet-formulas for curves, the osculating plane and osculating circle are presented. The course is also devoted to important curves on the surface (asymptotic curves, lines of curvature and geodesic curves). Mean and Gaussian curvature and cartographic mappings are introduced.

Prerequisites
unspecified

Assessment methods and criteria
unspecified
Recommended literature
  • BOČEK L., KUBÁT V. Diferenciální geometrie křivek a ploch, SPN, Praha, 1983.
  • BUDINSKÝ B. Analytická a diferenciální geometrie, SNTL, Praha, 1983.
  • KOLÁŘ, Ivan a Lenka POSPÍŠILOVÁ. Diferenciální geometrie křivek a ploch. Brno: MU, 2007. Přístupno z: http://is.muni.cz/do/1499/el/estud/prif/ps08/geom/web/index.html.
  • KREYSZIG, Erwin. Differentialgeometrie. Mathematik und ihre Anwendungen in Physik and Technik. Series A, vol. 25. Leipzig, Akademische Verlagsgesellschaft Geest und Portig K. G., 1957, 9+421 pp. DM 36..


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): Teaching of mathematics for Secondary schools (A14) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter