Mathematical Rotation Course
Gain expertise in 2D and 3D rotations starting from core principles up to sophisticated techniques like Rodrigues’ formula and quaternions. Develop precise skills for geometry, computer graphics, and mathematical modeling through targeted lessons in this comprehensive Mathematical Rotation Course.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course provides a practical guide to mastering 2D and 3D rotations for accurate coordinate manipulation. Participants derive rotation matrices, understand angle conventions, and solve examples in planes and 3D space. It covers rotations around arbitrary axes and centers, quaternions, Rodrigues’ formula, plus visualization and validation methods for reliable implementation.
Elevify advantages
Develop skills
- Master 2D and 3D rotation matrices for efficient coordinate transformations.
- Implement arbitrary-axis and quaternion rotations for stable 3D orientations.
- Calculate rotations around any 2D point using translate-rotate-translate techniques.
- Visualize and diagram rotations effectively for engineering communication.
- 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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