Rotation: Attitude and Orientation

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Explores rotation in 3D space, calculating matrices using roll, pitch, and yaw angles.

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Covers pure rotation, rolling without slipping, pendulum motion, and continuous systems.

Covers advanced physics topics such as reference frames, dynamics of the Earth, and the Foucault pendulum.

Explores kinematics and dynamics of rigid bodies, including Euler angles and moment of inertia.

Covers angular momentum in rotations, including preservation of angles and vector products.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Explores isometries in space, transformations preserving lengths and angles, including reflections, rotations, and translations.

Covers dynamics in non-inertial frames, including transformation laws, Coriolis force, and examples of dynamic systems.

Covers the laws of transformation of speeds and accelerations, including the rotation of points and dynamic movement principles.