SylabUZ
Nazwa przedmiotu | Differential Geometry |
Kod przedmiotu | 11.1-WK-MATED-DG-S22 |
Wydział | Wydział Matematyki, Informatyki i Ekonometrii |
Kierunek | Mathematics |
Profil | ogólnoakademicki |
Rodzaj studiów | drugiego stopnia z tyt. magistra |
Semestr rozpoczęcia | semestr zimowy 2023/2024 |
Semestr | 1 |
Liczba punktów ECTS do zdobycia | 7 |
Typ przedmiotu | obowiązkowy |
Język nauczania | angielski |
Sylabus opracował |
|
Forma zajęć | Liczba godzin w semestrze (stacjonarne) | Liczba godzin w tygodniu (stacjonarne) | Liczba godzin w semestrze (niestacjonarne) | Liczba godzin w tygodniu (niestacjonarne) | Forma zaliczenia |
Wykład | 30 | 2 | - | - | Egzamin |
Ćwiczenia | 30 | 2 | - | - | Zaliczenie na ocenę |
To familiarize students with the basics of differential geometry.
Multivariable calculus, linear algebra, topology.
Lecture
Local theory of curves
Global curve theory
Local surface theory
Global surface theory
Minimal surfaces
Exercises
Local theory of curves
Global curve theory
Local surface theory
Minimal surfaces
Colloquium (2 hours)
Conventional lecture with emphasis on joint discussion of the problems discussed. During classes, students solve tasks together (usually given a week in advance). Blackboard discussions with multiple students are preferred. Constant access to the Internet is assumed (all examples, especially graphics, animations).
Opis efektu | Symbole efektów | Metody weryfikacji | Forma zajęć |
The condition for passing the exercises is a positive grade in the test. It is allowed to present a paper on differential geometry. The topic is to be chosen independently by the student. Papers can be prepared by a group of two or three students. The topic of the paper must be approved by all students and the instructor. The exam is in written form with the possibility of discussion of solutions between the examiner and the student being examined. The grade for the course consists of the grade for the exercises (40%) and the grade for the exam (60%). The condition for taking the exam is a positive grade from the exercises. The condition for passing the course is a positive grade in the exam.
H. Hopf, Differential Geometry in the Large, Springer, 1983.
Zmodyfikowane przez dr Ewa Sylwestrzak-Maślanka (ostatnia modyfikacja: 10-04-2024 15:46)