Rotation in Mathematics

Related lectures (29)

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Covers translations, homotheties, and their geometric properties, including reversibility and composition.

Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

Explores oriented angles in analytical geometry, discussing unit vectors, trigonometric functions, matrix representations, and rotations.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Covers the preservation of isometry by rotations and symmetries.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Introduces Matlab basics, error handling, and billiards project concepts.