Course Descriptions

The Course Descriptions catalog describes all undergraduate and graduate courses offered by Michigan State University. The searches below only return course versions Fall 2000 and forward. Please refer to the Archived Course Descriptions for additional information.

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MTH 868 Geometry and Topology I

Semester:
Fall of every year
Credits:
Total Credits: Credits: 3   Lecture/Recitation/Discussion Hours:3
Recommended Background:
(MTH 411 and MTH 421) or approval of department.
Description:
Fundamental group and covering spaces, van Kampen's theorem. Homology theory, Differentiable manifolds, vector bundles, transversality, calculus on manifolds. Differential forms, tensor bundles, deRham theorem, Frobenius theorem.
Effective Dates:
SS95 - US24

MTH 868 Geometry and Topology I

Semester:
Fall of every year
Credits:
Total Credits: Credits: 3   Lecture/Recitation/Discussion Hours:3
Recommended Background:
MTH 411 and MTH 421
Restrictions:
Open to graduate students in the Applied Mathematics Major or in the Industrial Mathematics Major or in the Mathematics Major or approval of department.
Description:
Fundamental group and covering spaces, van Kampen's theorem. Homology theory, Differentiable manifolds, vector bundles, transversality, calculus on manifolds. Differential forms, tensor bundles, deRham theorem, Frobenius theorem.
Effective Dates:
FS24 - Open