Difference between revisions of "MAT5343"
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'''Sample textbook''': Victor V. Prasolov: Differential Geometry, Springer (2022) | '''Sample textbook''': Victor V. Prasolov: Differential Geometry, Springer (2022) | ||
| − | '''Catalog entry''' | + | '''Catalog entry''': |
''Prerequisite'': A course in Linear Algebra and Calculus sequence | ''Prerequisite'': A course in Linear Algebra and Calculus sequence | ||
''Contents'': | ''Contents'': | ||
| − | + | This course offers an in-depth study of differential geometry, focusing on the geometric properties of differentiable manifolds. Topics include smooth manifolds, vector fields, differential forms, tensors, connections, Riemannian metrics, and curvature. Emphasis will be placed on understanding the interplay between geometry and topology, as well as applications in physics, particularly in general relativity. | |
==Topics List== | ==Topics List== | ||
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|| Understand how to compute the curvature of a space/planar curve | || Understand how to compute the curvature of a space/planar curve | ||
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Revision as of 15:48, 23 January 2025
MAT 5343 Differential Geometry
Sample textbook: Victor V. Prasolov: Differential Geometry, Springer (2022)
Catalog entry:
Prerequisite: A course in Linear Algebra and Calculus sequence
Contents: This course offers an in-depth study of differential geometry, focusing on the geometric properties of differentiable manifolds. Topics include smooth manifolds, vector fields, differential forms, tensors, connections, Riemannian metrics, and curvature. Emphasis will be placed on understanding the interplay between geometry and topology, as well as applications in physics, particularly in general relativity.
Topics List
| Week | Topic | Chapter from textbook | SLO |
|---|---|---|---|
| 1 | Curves in space and on the plane | 1 | Understand how to compute the curvature of a space/planar curve |
| 2 | [[]] | 2 | |
| 3 | [[ ]] | 3 | |
| 4 | [[ ]] | 4 | |
| 5 | [[ ]] | 5 | |
| 6 | [[ ]] | 6 | |
| 7 | [[ ]] | 6 | |
| 8 | [[ ]] | 6 | |
| 9 | [[ ]] | 6 | |
| 10 | [[ ]] | 6 | |
| 11 | [[ ]] | 6 | |
| 12 | [[ ]] | 6 | |
| 13 | [[ ]] | 6 | |
| 14 | [[ ]] |
