Lectures related to Transitive closure

Covers examples of vector spaces and the concept of subspaces, emphasizing key properties and verification methods.

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

Partial Ordering: Relations, Sequences, Summation

Introduces partial orderings, lattices, and lexicographic orderings on Cartesian products.

Equivalence Classes and Relations

Covers equivalence classes, relations, quotient sets, and functions properties.