MTH 332 - Tensor Analysis

Institution:

CUNY Medgar Evers College

Subject:

Mathematics

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.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.mec.cuny.edu

Phone Number:

(718) 270-4900

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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