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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.
Önkoşullar
Gereken Olanaklar
Diğer
Ders Kitabı
Diğer Referanslar
 
 
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