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Fall Term 2025 TOP: DIFFERENTIAL GEOMETRY - 5690 - MATH 530

Prerequisites/Notes: MATH 250

Catalog Description : The axiomatic development of euclidean and non-euclidean geometry, including the historical and philosophical issues raised by the “non-euclidean revolution.” Additional topics, such as projective or differential geometry and convexity, may be included.

TOPIC FOR Fall 2025: Differential Geometry
An introduction to differential geometry, with emphasis on how it appears in physics. Topics may include differentiable manifolds, the tangent space, the tangent bundle, covector fields, metric tensor, tensor fields, differential forms, curvature, connections, covariant derivatives, Lie bracket, geodesics, fibre bundles, Lie groups and Lie algebras.
PREREQUISITES: Math 250

Attributes: GER Quantitative Analysis, 400-599 Advanced Course


Term

Fall Term 2025

Instructors

Alexander Michael Heaton

Course

MATH 530

Grade Mode

Standard

Title

TOP: DIFFERENTIAL GEOMETRY (Q)

Final Exam

 

CRN

5690

Status

Active

Class Time

01:50 PM-03:00 PM MWF WEST 234

Start-End Date

Sep 15, 2025-Nov 25, 2025

Campus

Appleton Main Campus

Units

6

Course materials View Book Information

 

Maximum

Number registered

Enrollment:

Unlimited

6