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Spring Term 2023 TOP: DIFFERENTIAL GEOMETRY - 3646 - MATH 530

Prerequisites/Notes: MATH 230 and MATH 250, or MATH 300

Catalog Description :

Topic for Spring 2023: Differential Geometry
Prerequisites: MATH 230 and MATH 250, or MATH 300
This course will study geometry from the perspective of "differential geometry". Topics will include tangent spaces, tangent quadrics, and tangent cubics which we will use to approximate curves and surfaces near a point. We will also investigate curvature. What does it mean that mass "curves" spacetime? Other topics to appear include manifolds, the classification of all possible 2-dimensional manifolds, and projective space, with all its wonderful "points at infinity".



Attributes: Quantitative Analy GER (01cr), BM Natural Science (01cr), Advanced Course


Term

Spring Term 2023

Instructors

Alexander Michael Heaton

Course

MATH 530

Grade Mode

Standard

Title

TOP: DIFFERENTIAL GEOMETRY (Q)

Final Exam

 

CRN

3646

Status

Active

Class Time

01:50 PM-03:00 PM MWF BRIG 416

Start-End Date

Mar 27, 2023-Jun 07, 2023

Campus

Appleton Main Campus

Units

6

Course materials View Book Information

 

Maximum

Number registered

Enrollment:

Unlimited

17