Discrete Mathematics (V-U)

• 1. Introduction to Discrete Math , Statements, Negation, Conjunction and Disjunction (V-U)
• 2. Truth Tables, Logical Equivalence and De Morgan`s Law (V-U)
• 3. Laws of Logic their Applications and implications (V-U)
• 4. Biconditional,Laws of Logic involving biconditional and their Application (V-U)
• 5. Valid and Invalid Argument (V-U)
• 6. Application To Digital Circuits (V-U)
• 7. Sets ,Reprsentation of Sets,Membership Table (V-U)
• 8. Union ,Intersection,And some application (V-U)
• 9. Set Identities and Their Application (V-U)
• 10. Application of Venn Diagram, Partition of a set , Power set (V-U)
• 11. Cartesian Product ,Relations And Their Representations (V-U)
• 12. Reflexive,Symmetric and Tranisitive and Equivalence Relations (V-U)
• 13. Irreflexive,Anti-symmetric and Partial order Relations (V-U)
• 14. Inverse ,Complementary ,Composite Relations (V-U)
• 15. Functions,Arrow Diagram,Grapgh of Functions (V-U)
• 16. Injective,Surjective and Bijective Functions (V-U)
• 17. Equality,Inverse and Composition of Functions (V-U)
• 18. Algebra of Functions, Image& Inverse Image Functions,Finite & Infinite sets (V-U)
• 19. Arithmetic and Geometric Sequences (V-U)
• 20. Series, Arithmetic and Geometric Series (V-U)
• 21. Recursion , Recursively defined Functions and Sequences (V-U)
• 22. Recursive definition of Sets ,Union, Intersection ,Boolean Expressions etc (V-U)
• 24. Mathematical I nduction for Divisibility and Inequalities (V-U)
• 25. Methods of Proof, Direct Proof, Disproof by counter example (V-U)
• 26. In direct Proof, Proof by Contradiction and Proof by Contraposition (V-U)