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Bilkent University

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Undergraduate and Graduate Programs 2023-2024

MATH 541 Manifold Theory

Differentiable manifolds, smooth mappings, tangent cotangent bundles, differential of a map, submanifolds, immersions, imbeddings, vector fields, tensor fields, differential forms, orientation on manifolds, integration on manifolds, Stokes' theorem. Lie derivative of tensor fields. Credit units: 3 ECTS Credit units: 5.

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