1. Relations - Basic Concepts, Complement, Converse, Composite Relation

In this 47 mins Video Lesson

Cartesian Product, Theorems, Relations, Domain, Range, Complement of a relation, Converse of a relation, Composite Relation, and other topics.

Cartesian Product, Theorems, Relations, Domain, Range, Complement of a relation, Converse of a relation, Composite Relation, and other topics.

2. Relations - Matrix and Digraph Representation, Types of Binary Relations

In this 51 mins Video Lesson

Matrix Representation, Theorems, Digraph Representation, Reflexive Relation, Irreflexive Relation, Symmetric Relation, Asymmetric Relation, Antisymmetric Relation, Transitive, and other topics.

Matrix Representation, Theorems, Digraph Representation, Reflexive Relation, Irreflexive Relation, Symmetric Relation, Asymmetric Relation, Antisymmetric Relation, Transitive, and other topics.

3. Equivalence Relations and Transitive Closure

In this 42 mins Video Lesson

Equivalence Relation, Equivalence Classes, Quatient Set, Transitive Closure, and other topics.

Equivalence Relation, Equivalence Classes, Quatient Set, Transitive Closure, and other topics.

4. Warshall’s Algorithm & Posets

In this 52 mins Video Lesson

Warshall Algorithm, Example, Partial Order / Poset, Hasse Diagram, Chains / Antichains, Maximal / Minimal Element, and other topics.

Warshall Algorithm, Example, Partial Order / Poset, Hasse Diagram, Chains / Antichains, Maximal / Minimal Element, and other topics.

5. Bounds in Posets & Lattice

In this 47 mins Video Lesson

Bounds, Examples, Lattice, Theorems, and other topics.

Bounds, Examples, Lattice, Theorems, and other topics.

Relations, Poset and Lattice
(2.86 Mb)

Properties of Binary Relations, Closure of relations, Warshall’s algorithm, Equivalence, Relations and partitions, Partial ordering relations and lattices, Chains and Anti chains.