Tensor Analysis
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Overview
Subject area
MTH
Catalog Number
332
Course Title
Tensor Analysis
Department(s)
Description
This course is designed to provide students in the Space Science Program, the Physics Program, and the Mathematical Sciences Program with a practical introduction to tensors. The course will emphasize those aspects of the theory, and cosmology. Eigenvectors ad eigenvalues as well as bi-linear and quadratic forms will be discussed as will functions of matrices (such as the matrix exponential) and partitioning, Kronecker sums and products will be investigated in detail. Tensor formalism, notation, and algebra will be presented along with the Kronecker delta and its properties. Students will be given detailed instruction on how to express certain well-known principles (such as the Maxwell Equations) in tensor form. Covariant and contravariant tensors and vectors, symmetric tensors, associate tensors, the Ricci tensor and its properties, metric tensors, and other forms will be emphasized. Covariant formulation of electrodynamics, the Christoffel symbols, and the Riemann-Christoffel curvature tensor will be presented.
Typically Offered
Fall, Spring
Academic Career
Undergraduate
Liberal Arts
No
Credits
Minimum Units
3
Maximum Units
3
Academic Progress Units
3
Repeat For Credit
No
Components
Name
Lecture
Hours
3
Requisites
019928