MATH 457 - Elementary Differentl Geometry

Institution:

Millersville University of Pennsylvania

Subject:

Mathematics

Description:

Frenet frames; curvature and torsion of curves in 3-space. Calculus of vector fields; geodesics and curvature of surfaces in 3-space. Surface area and volume. The Euler characteristic of a surface and the Gauss-Bonnet theorem. Rigid motions and isometries. Riemannian metrics, parallelism, non-Euclidean geometries and applications.

Credits:

3.00

Credit Hours:

Prerequisites:

C- or higher in MATH 310, 311, 322.

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Offered periodically.

Additional Information:

Historical Version(s):

Institution Website:

www.millersville.edu

Phone Number:

(717) 872-3024

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Four-one-four plan

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