Dersin Bilgileri

Dersin Adı	Türkçe	Tensör Analizi
	İngilizce	Tensor Analysis
Dersin Kodu	MAT 497E	Kredi	Ders (saat/hafta)	Uygulama (saat/hafta)	Labratuvar (saat/hafta)
Dönem	8	3	3	-	-
Dersin Dili		İngilizce
Dersin Koordinatörü		Fatma Özdemir
Dersin Amaçları		1. To examine the general structure of spaces by using techniques of the tensor analysis, 2. To teach the techniques of the tensor calculus which have wide applications for the study of mathematics, mechanics, physics and engineering
Dersin Tanımı		Transformation of coordinates, scalar invariants, covariant and contravariant vector fields. Covariant and contravariant tensor fields, symmetric and antisymmetric tensor fields, algebraic operations on tensors. Contraction, quotient rule, metric tensor, reciprocal tensor, Christoffel symbols, covariant derivative, gradient, divergence and rotational. Some applications to physics.
Dersin Çıktıları		Students completing this course will be able to : I. Perform algebraic calculations with tensors, II. Examine the general mathematical structure of spaces by using tensorial quantities, III. Have abilitiy of expressing physical problems in terms of tensorial quantities, IV. Have Abilitiy of expressing engineering problems in terms of tensorial quantities.
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