Combinatorics Video Lectures

Combinatorics
'Combinatorics' Video Lectures by Dr. L. Sunil Chandran from IISc Bangalore
"Combinatorics" - Video Lectures
1. Pigeon hole principle - (Part 1)
2. Pigeon hole principle - (Part 2)
3. Pigeon hole principle - (Part 3)
4. Pigeon hole principle - (Part 4)
5. Elementary concepts and basic counting principles
6. Elementary concepts; Binomial theorem; Bijective proofs - Part (1)
7. Bijective proofs – Part (2)
8. Bijective proofs - Part (3); Properties of binomial coefficients; Combinatorial identities - Part (1)
9. Combinatorial identities - Part (2); Permutations of multisets – Part (1)
10. Permutations of multisets – Part (2)
11. Multinomial Theorem, Combinations of Multisets – Part (1)
12. Combinations of Multisets - Part (2)
13. Combinations of Multisets – Part (3), Bounds for binomial coefficients
14. Sterling’s Formula, Generalization of Binomial coefficients - Part (1)
15. Generalization of Binomial coefficients - Part (2)
16. Generalization of Binomial coefficients - Part (3); Double counting - Part (1)
17. Double counting - Part (2)
18. Hall’s Theorem for regular bipartite graphs; Inclusion exclusion principle - Part (1)
19. Inclusion exclusion principle - Part (2)
20. Inclusion exclusion principle - Part (3)
21. Inclusion exclusion principle - Part (4)
22. Inclusion exclusion principle - Part (5)
23. Recurrence Relations - Part (1)
24. Recurrence Relations - Part (2)
25. Recurrence Relations - Part (3)
26. Recurrence Relations - Part (4)
27. Recurrence Relations - Part (5)
28. Generating functions - Part (1)
29. Generating functions - Part (2)
30. Solving recurrence relations using generating functions - Part (1)
31. Solving recurrence relations using generating functions - Part (2)
32. Exponential generating functions - Part (1)
33. Exponential generating functions - Part (2), Partition Number - Part (1)
34. Partition Number - Part (2)
35. Partition Number - Part (3)
36. Partition Number - Part (4); Catalan Numbers - Part (1)
37. Catalans Numbers - Part (2)
38. Catalan Numbers - Part (3), Sterling numbers of the 2nd kind
39. Difference Sequences
40. Sterling Numbers
41. Summary
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