Jul 25, 2024  
Undergraduate Catalog 2011 - 2012 
    
Undergraduate Catalog 2011 - 2012 [ARCHIVED CATALOG]

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MTH 434 - Differential Geometry

(4 credits)
Prerequisite(s): 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 will include 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.Course makes extensive use of a computer system, such as Maple.


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