Analyse 1: Group Rotation and Basic Rules of Hygiene

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Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Covers the preservation of isometry by rotations and symmetries.

Covers the definition of applications, image of elements, and direct and reciprocal images.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.

Covers abbreviated calculation, structures, operations, and unique set properties.

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.