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Differential Geometry Course

Differential Geometry Course
from 4 to 360h flexible workload
valid certificate in your country

What will I learn?

This course provides a quick and solid journey from basic vector calculus to understanding curves and surfaces in differential geometry. You'll handle parametrized curves, Frenet-Serret frames, curvature, torsion, first and second fundamental forms, normal vectors, Gaussian and mean curvature, with practical links to physics and general relativity.

Elevify advantages

Develop skills

  • Calculate curvature, torsion, and Frenet frames for space curves confidently.
  • Examine first and second fundamental forms to determine vital surface curvatures.
  • Apply cylinders and helices to model intrinsic and extrinsic geometry effectively.
  • Link geometric curvature to real-world physics in relativity and mechanics.
  • Execute efficient symbolic vector calculus on curves and surfaces.

Suggested summary

Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.
Workload: between 4 and 360 hours

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