Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Analytical Study of SpaceExplores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Linear Algebra BasicsCovers the basics of linear algebra, focusing on solving systems of linear equations through operations to triangular form.
