Lectures related to Analyse 1: Group Rotation and Basic Rules of Hygiene

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Explores irreducible representations of the rotations group and their mathematical properties.

Explores totally discontinuous group actions on sets and their mathematical implications.

Covers the fundamental concepts of sets and subsets in linear algebra, including operations and properties.

Introduces Cartesian product and induction for proofs using integers and sets.

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

Introduces fundamental concepts of linear algebra, focusing on sets and operations.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

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.