Mathematical Rotation Course
Gain expertise in 2D and 3D rotations starting from fundamentals up to advanced techniques like Rodrigues’ formula and quaternions. Develop precise skills applicable to geometry, computer graphics, and mathematical modelling through this focused course, equipping you for real-world implementation challenges.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
This course provides a practical pathway to master 2D and 3D rotations for accurate coordinate manipulation. Participants will derive rotation matrices, understand angle conventions, and solve examples in planes and 3D space. It covers rotations around arbitrary axes and centres, quaternions, Rodrigues’ formula, plus visualisation and validation methods for reliable implementation.
Elevify Advantages
Develop Skills
- Master 2D and 3D rotation matrices for precise coordinate transformations.
- Implement arbitrary-axis and quaternion rotations for effective 3D control.
- Calculate rotations about any 2D centre using translate-rotate-translate techniques.
- Visualise and illustrate rotations to explain concepts to engineering teams.
- Validate 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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