Course Information

Course Name	Turkish	Tensör Analizi
	English	Tensor Analysis
Course Code	MAT 497E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	3	-	-
Course Language		English
Course Coordinator		Fatma Özdemir
Course Objectives		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
Course Description		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.
Course Outcomes		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.
Pre-requisite(s)
Required Facilities
Other
Textbook		C.E.Weatherburn, Riemannian Geometry and the Tensor Calculus, Cambridge Univ. Press, 1966
Other References		I. S. Sokolnikoff, Tensor Analysis. Theory and Applications. New York, Wiley, 1951 J.A.Schouten, Tensor Analysis for physics 2d edn., New York: Dover Publication,1989 David C. Kay, Schaum’s Outline of Tensor Calculus,1988.

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