INTRODUCTORY TOPOLOGY I

MATH 751

Course Description

An introduction to algebraic and differential topology. Elements of homotopy theory, fundamental group, covering spaces. Differentiable manifolds, tangent vectors, regular values, transversality, examples of compact Lie groups. Homological algebra, chain complexes, cell complexes, singular and cellular homology, calculations for surfaces, spheres, projective spaces, etc. Familiarity with undergraduate algebra and topologyMATH 541or551) is strongly recommended.

Prerequisties

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Satisfies

This course does not satisfy any prerequisites.

Credits

Offered

Occasionally

Grade Point Average

3.64

0.38% from Historical

Completion Rate

100%

2.46% from Historical

A Rate

59.09%

-4.07% from Historical

Class Size

11.47% from Historical

Instructors (2025 Fall)

Sorted by ratings from Rate My Professors

MARISSA LOVING

[email protected]

4.0

Rating

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