Lectures related to Superposition and Decomposition

Covers Markov chains decomposition, LLN proof, Inventory Model application, and average costs.

Covers integration techniques for rational functions, including decomposition and factorization.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Covers the decomposition of a CW complex based on characteristic maps and cell containment.

Covers the decomposition of a finite field and the concept of roots.

Explores orthogonal projections and the Gram-Schmidt method for constructing bases.

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Covers the concept of ideals in polynomial rings and their properties.

Covers linear transformations, change of bases, and diagonalization of matrices.