Discrete Mathematics (V-U)

1. Introduction to Discrete Math , Statements, Negation, Conjunction and Disjunction (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)

32. Ordered and unordered Partitions,Permutations with repititons (V-U)

19. Arithmetic and Geometric Sequences (V-U)

33. Tree Diagram , Inclusion – Exclusion Principle (V-U)

2. Truth Tables, Logical Equivalence and De Morgan`s Law (V-U)

34. Pigeonhole Principle (V-U)

20. Series, Arithmetic and Geometric Series (V-U)

35. Introduction to Probability (V-U)

21. Recursion , Recursively defined Functions and Sequences (V-U)

36. Addition Law of Probability (V-U)

22. Recursive definition of Sets ,Union, Intersection ,Boolean Expressions etc (V-U)

37. Conditional Probability, Independent Events (V-U)

23. Introduction to Mathematical Induction (V-U)

38. Random Variables.Probability Distribution,Expectation and Variance (V-U)

24. Mathematical I nduction for Divisibility and Inequalities (V-U)

39. Introduction to Graph Theory (V-U)