Discrete Mathematics Video Lectures

Discrete Mathematics
'Discrete Mathematics' Video Lectures by Dr. Aditi Gangopadhyay, Dr. Sugata Gangopadhyay from IIT Roorkee
"Discrete Mathematics" - Video Lectures
1. Introduction to the theory of sets
2. Set operation and laws of set operation
3. The principle of inclusion and exclusion
4. Application of the principle of inclusion and exclusion
5. Fundamentals of logic
6. Logical Inferences
7. Methods of proof of an implication
8. First order logic(1)
9. First order logic(2)
10. Rules of influence for quantified propositions
11. Mathematical Induction(1)
12. Mathematical Induction(2)
13. Sample space, events
14. Probability, conditional probability
15. Independent events, Bayes theorem
16. Information and mutual information
17. Basic definition
18. Isomorphism and sub graphs
19. Walks, paths and circuits operations on graphs
20. Euler graphs, Hamiltonian circuits
21. Shortest path problem
22. Planar graphs
23. Basic definition.
24. Properties of relations
25. Graph of relations
26. Matrix of relation
27. Closure of relaton(1)
28. Closure of relaton(2)
29. Warshall's algorithm
30. Partially ordered relation
31. Partially ordered sets
32. Lattices
33. Boolean algebra
34. Boolean function(1)
35. Boolean function(2)
36. Discrete numeric function
37. Generating function
38. Introduction to recurrence relations
39. Second order recurrence relation with constant coefficients(1)
40. Second order recurrence relation with constant coefficients(2)
41. Application of recurrence relation
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