CN Amit Khurana

1: [syllabus] syllabus

2: [Logic] lecture 1 Basic operators and properties

3: [Logic] lecture 2 Practice Questions

4: [Logic] lecture 3 derived operators and properties

5: [Logic] lecture 4 satisfiable, tautology,contradiction, implication

6: [Logic] lecture 5 Double implication and translations

7: [Logic] lecture 6 Arguements

8: [Logic] lecture 7 predicate logic part 1

9: [Logic] lecture 8 Properties of quantifiers and introduction to translations

10: [Logic] lecture 9 Translations

11: [Combinatorics] lecture 10 Permutation with unlimited and no repetition

12: [Combinatorics] lecture 11 permutation with Limited Repetition and 6 constraints

13: [Combinatorics] lecture 12 Combination with No and Unlimited repetition

14: [Combinatorics] lecture 13 Combination with limited repetition (Generating Function)

15: [Combinatorics] lecture 14 Distribution problems and Principle of inclusion exclusion

16: [Combinatorics] lecture 15 Derangements and pigeon hole principle

17: [Combinatorics] lecture 16 Binomial summations

18: [Combinatorics] lecture 17 Generating Functions Part 1

19: [Combinatorics] lecture 18 Generating functions part 2

20: [Combinatorics] lecture 19 Generating Functions Part 3

21: [Combinatorics] lecture 20 Recurrence relations part 1

22: [Combinatorics] lecture 21 Recurrance relations part 2

23: [set theory, Group theory and lattice theory] lecture 22 Set theory (Introduction to Sets)

24: [set theory, Group theory and lattice theory] lecture 23 Introduction to relations(Finding Domain and range)

25: [set theory, Group theory and lattice theory] lecture 24 Introduction to Relations Part 2

26: [set theory, Group theory and lattice theory] lecture 25 Introduction to relations part 3 (Reflexive relations)

27: [set theory, Group theory and lattice theory] lecture 26 Irreflexive , Symmetric Relations

28: [set theory, Group theory and lattice theory] lecture 27 Anti Symmetric , Asymmetric and Transitive relations

29: [set theory, Group theory and lattice theory] lecture 28 Counting Relations

30: [set theory, Group theory and lattice theory] lecture 29 Closure of relations and Equivalnce relations

31: [set theory, Group theory and lattice theory] lecture 30 Equivalence relations and closure properties of relations

32: [set theory, Group theory and lattice theory] lecture 31 Introduction to Functions Part 1

33: [set theory, Group theory and lattice theory] lecture 32 Composition of Functions and counting functions

34: [set theory, Group theory and lattice theory] lecture 33 Introduction to Group Theory (Identification of Group)

35: [set theory, Group theory and lattice theory] lecture 34 Abelian Group and standard examples of group

36: [set theory, Group theory and lattice theory] lecture 35 properties of group

37: [set theory, Group theory and lattice theory] lecture 36 properties of element of group

38: [set theory, Group theory and lattice theory] lecture 37 Cyclic group

39: [set theory, Group theory and lattice theory] lecture 38 Subgroup and lagrange's theorem, Introduction to poset

40: [set theory, Group theory and lattice theory] lecture 39 toset,woset,toposort,exremal elements of poset

41: [set theory, Group theory and lattice theory] lecture 40 Introduction to Lattice and standard examples

42: [set theory, Group theory and lattice theory] lecture 41 Types of lattice and its properties

43: [set theory, Group theory and lattice theory] lecture 42 Sub lattice and boolean algebra

44: [Graph theory] lecture 43 Introduction to Graph and special graphs

45: [Graph theory] lecture 44 chromatic number and diamerter of special graphs

46: [Graph theory] lecture 45 Graph operations and isomorphism

47: [Graph theory] lecture 46 components, cut vertex(Articulation point),cut edge and cut set

48: [Graph theory] lecture 47 Vertex and edge connectivity , walk,path,cycle, Euler graphs

49: [Graph theory] lecture 48 Hamiltonean and planar graphs

50: [Graph theory] lecture 49