Lectures related to Relations: Reflexive, Symmetric, Antisymmetric, Transitive

Total Order Relation: Properties of Real Numbers

Covers the concept of total order relation and properties of real numbers.

Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.

Consequences of TBS

Explores the consequences of the Total Bell System (TBS) in a commutative body.

Implicit Functions Theorem

Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Relations: Sets, Functions and Composition

Covers binary relations, functions, set operations, composition, and n-ary relations.

Characteristic Polynomials and Similar Matrices

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Conformal Field Theory: Generators and Commutation Relations

Covers the definition of generators of the conformal group and the application of Wick's theorem.

Homotopy: Fundamentals and Examples

Covers the fundamentals of homotopy and its applications in topology.