2020-2021 Catalog 
    
    Jan 20, 2021  
2020-2021 Catalog
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MATH 305 - The Geometry and Topology of Manifolds

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FA, odd years. An introduction to the study of manifolds, including both the geometric topology and the differential geometry of manifolds. The emphasis is on low-dimensional 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: MATH 270  or MATH 271  and MATH 231 , MATH 255  or MATH 355 . Not offered 2020-2021.



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