MATH GU4081
INTRO-DIFFERENTIABLE MANIFOLDS
Columbia University in the City of New York · UGRD · Fall 2026
1 section
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Prerequisites: ( MATH GU4051 or MATH GU4061 ) and MATH UN2010 Concept of a differentiable manifold. Tangent spaces and vector fields. The inverse function theorem. Transversality and Sards theorem. Intersection theory. Orientations. Poincare-Hopf theorem. Differential forms and Stokes theorem
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Availability not recently verifiedClass #columbia_in_city_new_york-MATHGU4081Fall 2026UGRD3.00 credits
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