Mathematics and Statistics 305 - The Geometry and Topology of Manifolds

Institution:

Calvin University

Subject:

Description:

F, odd years. An introduction to the study of manifolds, including both the geometric topology and the differential geometry of manifolds. The emphasis is on lowdimensional manifolds, especially curves and surfaces. Topics include the topology of subsets of Euclidean space, curves and surfaces in Euclidean space, the topological classification of compact connected surfaces, smooth curves and surfaces, curvature, geodesics, the Gauss-Bonnet Theorem and the geometry of space. Prerequisites: Vector Calculus (Mathematics 232 or 261) and Linear Algebra (Mathematics 231, 232, 256 or 355) Not offered 2008-2009.

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.calvin.edu

Phone Number:

(616) 526-6000

Regional Accreditation:

North Central Association of Colleges and Schools

Calendar System:

Four-one-four plan

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