Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
DIFERENTIAL GEOMETRY III MAT 451 7 2 + 0 2 5
Ön Koşul Dersleri Students are assumed to be familiar with Differential Geometry I and Differential Geometry II
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Lisans
Dersin Türü SECMELI
Dersin Koordinatörü Prof.Dr. MEHMET ALİ GÜNGÖR
Dersi Verenler
Dersin Yardımcıları Research assistants of geometry
Dersin Kategorisi
Dersin Amacı
The aim of this lesson is to give students the fundamental concepts concerning with differential geometry which they need during their undergraduate educations and to get them to comprehend a different way at the solution of the applied problems. To study integration theory for differential geometry of manifolds.
Dersin İçeriği
Riemannian manifolds and submanifolds, Connections, Integration and differential geometry.
Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 - He/She defines the notions of Euclidean space on Riemanian manifolds, 1 - 2 - 3 - A - C -
2 - He/She compares affine connection with Riemannian connection, 1 - 2 - 3 - A - C -
3 - He/She interprets the known notions of hypersurfaces for any dimensional submanifolds, 1 - 2 - 3 - A - C -
4 - He/She defines and examines connections generally, 1 - 2 - 3 - A - C -
5 - He/She knows connections and Cartan structure equations, 1 - 2 - 3 - 4 - A - C -
6 - He/She remembers ordinary integrals of vectors, 1 - 2 - 3 - 4 - A - C -
7 - He/She defines line, surface and volume integrals, 1 - 2 - 3 - A - C -
8 - He/She explains and proves the Stokes Theorem. 1 - 2 - 3 - 4 - A - C -
Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 4:Drilland Practice
Ölçme Yöntemleri: A:Testing C:Homework
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