Core unitUnit 20 of 24
Differential Geometry
Investigate the geometry of curves, surfaces, and manifolds using the tools of calculus and linear algebra.
Difficulty
Beginner
Estimated study
200 hours
Duration
Self-paced
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0
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About this unit
Unit overview
This unit uses calculus and linear algebra to study curves, surfaces and geometric structure. You will investigate curvature, geodesics and local geometry, building foundations for geometry, topology and mathematical physics.
Learning outcomes
What you’ll learn
- 01Compute curvature and torsion of parametrised curves
- 02Analyse tangent spaces and differential maps
- 03Calculate the fundamental forms and curvature of surfaces
- 04Explain geodesics and intrinsic geometric properties