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Mathematical Rotation Course

Mathematical Rotation Course
from 4 to 360h flexible workload
certificate valid in your country

What will I learn?

Gain a practical mastery of 2D and 3D rotations for accurate coordinate control. Derive rotation matrices, master angle conventions, and solve examples in planes and space. Explore arbitrary-axis, arbitrary-centre rotations, quaternions, and Rodrigues’ formula, with visualisation and validation techniques for reliable implementation.

Elevify advantages

Develop skills

  • Master 2D and 3D rotation matrices for precise coordinate transformations.
  • Apply arbitrary-axis and quaternion rotations for robust 3D control.
  • Compute rotations about any 2D centre using translate-rotate-translate techniques.
  • Visualise and sketch rotations clearly for engineering communication.
  • Verify rotations using invariants, test cases, and numerical checks.

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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