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Content in this video:
00:00 Chapter-0 (About this video)
02:03 Chapter-1 (Set Theory)
54:32 Chapter-2 (Relations)
1:31:45 Chapter-3 (POSET & Lattices)
2:07:21 Chapter-4 (Functions)
2:35:58 Chapter-5 (Theory of Logics)
4:11:15 Chapter-6 (Algebraic Structures)
5:38:40 Chapter-7 (Graphs)
6:32:14 Chapter-8 (Combinatorics)
Chapter-1 (Set Theory): Introduction, Combination of sets.
• Chapter-2 (Relations): Definition, Operations on relations, Properties of relations, Composite Relations, Equality of relations, Recursive definition of relation, Order of relations.
• Chapter-3 (POSET & Lattices): Hasse Diagram, POSET, Definition & Properties of lattices - Bounded, Complemented, Distributed, Modular and Complete lattice.
• Chapter-4 (Functions): Definition, Classification of functions, Operations on functions. Growth of Functions.
• Chapter-5 (Theory of Logics): Proposition, Truth tables, Tautology, Satisfiability, Contradiction, Algebra of proposition, Theory of Inference. Predicate Logic: First order predicate, well- formed formula of predicate, quantifiers, Inference theory of predicate logic.
• Chapter-6 (Algebraic Structures): Definition, Groups, Subgroups and order, Cyclic Groups, Cosets, Lagrange's theorem, Normal Subgroups, Permutation and Symmetric groups, Group Homomorphisms,
Definition and elementary properties of Rings and Fields.
• Chapter-7 (Graphs): Definition and terminology, Representation of graphs, Multigraphs, Bipartite graphs, Planar graphs, Isomorphism and Homeomorphism of graphs, Euler and Hamiltonian paths,
Graph calaring,
• Chapter-8 (Combinatorics): Introduction, Counting Techniques, Pigeonhole Principle