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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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