Mathematical Rotation Course
Master 2D and 3D rotations from first principles to advanced tools like Rodrigues’ formula and quaternions. Develop precise, implementation-ready skills for geometry, graphics, and mathematical modelling in this focused Mathematical Rotation Course.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This Mathematical Rotation Course provides a swift, practical route to mastering 2D and 3D rotations for accurate coordinate control. Derive rotation matrices, apply angle conventions, and tackle clear examples in planes and space. Learn arbitrary-axis and arbitrary-centre rotations, explore quaternions and Rodrigues’ formula, and practise visualisation and validation techniques for precise implementation.
Elevify advantages
Develop skills
- Master 2D and 3D rotation matrices for precise coordinate transformations.
- Apply arbitrary-axis and quaternion rotations for robust 3D orientation control.
- Compute rotations about any 2D centre using translate-rotate-translate methods.
- Visualise and sketch rotations clearly to communicate implementations to engineers.
- Verify rotations with invariants, test cases, and numerical tolerance 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.What our students say
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