MTH 434 - Differential Geometry

Institution:

Cleveland State University

Subject:

Description:

Prerequisites: MTH 281 or MTH 283, MTH 286, and at least one mathematics course numbered 300 or above. This course focuses on the calculus, linear algebra, and geometry of curves and surfaces, as well as applications to engineering and science. Material covered includes the curvature and torsion of curves, Gaussian and mean curvatures of surfaces, minimal surfaces, geodesics, holonomy, and the Gauss-Bonnet theorem. Optional material includes applications of the calculus of variations to geometry and of minimal surface theory to soap film formation. The course makes extensive use of a computer algebra system, such as Maple.

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.csuohio.edu/

Phone Number:

(216) 687-2000

Regional Accreditation:

North Central Association of Colleges and Schools

Calendar System:

Semester

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