Mathematical Rotation Course
This course builds mastery in 2D and 3D rotations from basic principles to advanced methods like Rodrigues’ formula and quaternions. Develop precise skills for geometry, graphics, and mathematical modelling, ready for practical implementation in a focused programme tailored for South African professionals.

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.What our students say
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