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...Ma dierential geometry fall syllabus required text elementary o neill b nd edition supplementary pressley a materials of curves surfaces do carmo m instructor robert smyth professor mathematics course thecourse covers the and in space introduces description more general notion dierentiable manifold it concludes with gauss bonnet theorem credits contact hours prerequisites permission this is an elective which may be used as partial fulllment requirements minor topics review planar directional derivatives tangent map curvature frenet formulas introduction to forms covariant frame elds connection structural equations isometries euclidean congruence patch computations on functions vectors mappings manifolds shape operator normal gaussian principle asymptotic geodesics revolution fundamental local s theorema egregium integration orientation assessment term grade will based group homework assignments two midterms each one cumulative nal exam names all team members for given assignment must l...