Department of Mathematics
Categories, Symmetries and Manifolds
Math 4800
This course meets MW 3:00-4:20.
We "meet" on Zoom. Contact me for access.
Syllabus for the course
Ideas for Possible Projects
Introduction and Preview of Coming Attractions
Sets. A Tale of Two Categories
Abelian Groups. Symmetries of Cyclic Groups
Metric Spaces. Orthogonal Transformations
Vector Spaces. Eigenvectors and eigenvalues
Groups. Conjugacy Classes. Unitary Groups.
Group Representations
G-Linear Maps and Characters
Topological Spaces
August 24 Class Notes
August 26 Class Notes
August 31 Class Notes
September 2 Class Notes
September 9 Class Notes
September 14 Class Notes
September 16 Class Notes
September 21 Class Notes
September 23 Class Notes
September 28 Class Notes
September 30 Class Notes
October 5 Class Notes
October 7 Class Notes
October 12 Class Notes
October 14 Class Notes
October 26 Class Notes
October 28 Class Notes
November 9 Class Notes
November 11 Class Notes
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