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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?

Explore a swift, rigorous journey in Differential Geometry from vector calculus basics to curves and surfaces, covering parametrized curves, Frenet–Serret frames, curvature, torsion, fundamental forms, normal vectors, Gaussian and mean curvature, and key applications in modern physics and general relativity.

Elevify advantages

Develop skills

  • Compute curvature, torsion, and Frenet frames for space curves confidently.
  • Analyze first and second fundamental forms to determine key surface curvatures.
  • Apply cylinders and helices as models for intrinsic and extrinsic geometry.
  • Link geometric curvature to physical concepts in general relativity and mechanics.
  • Execute efficient symbolic vector calculus for parametrized curves and surfaces.

Suggested summary

Before starting, you can change the chapters and the 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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