MAT 497E - Tensor Analysis

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.