Math 2.0

Resources / course

Discrete Mathematics R0V9DCM1KR

URIm2://res/R0V9DCM1KR
Kindcourse
CreatorsAditi Gangopadhyay (instructor), Sugata Gangopadhyay (instructor)
Date2015-05-07
Scopein
Idscourse 00582g326:111107058

Expressions

e1: edition

Languageen
Date2015-05-07
Contents
  • part 1: Set Theory
  • session 1: Introduction to the theory of sets
  • session 2: Set operation and laws of set operation
  • session 3: The principle of inclusion and exclusion
  • session 4: Application of the principle of inclusion and exclusion
  • part 2: Logic
  • session 5: Fundamentals of logic
  • session 6: Logical Inferences
  • session 7: Methods of proof of an implication
  • session 8: First order logic(1)
  • session 9: First order logic(2)
  • session 10: Rules of influence for quantified propositions
  • part 3: Mathematical Induction
  • session 11: Mathematical Induction(1)
  • session 12: Mathematical Induction(2)
  • part 4: Discrete Probability
  • session 13: Sample space, events
  • session 14: Probability, conditional probability
  • session 15: Independent events, Bayes theorem
  • session 16: Information and mutual information
  • part 5: Graph Theory
  • session 17: Basic definition
  • session 18: Isomorphism and sub graphs
  • session 19: Walks, paths and circuits operations on graphs
  • session 20: Euler graphs, Hamiltonian circuits
  • session 21: Shortest path problem
  • session 22: Planar graphs
  • part 6: Relations
  • session 23: Basic definition.
  • session 24: Properties of relations
  • session 25: Graph of relations
  • session 26: Matrix of relation
  • session 27: Closure of relaton(1)
  • session 28: Closure of relaton(2)
  • session 29: Warshall's algorithm
  • part 7: Partially ordered sets
  • session 30: Partially ordered relation
  • session 31: Partially ordered sets
  • session 32: Lattices
  • part 8: Boolean algebra and boolean function
  • session 33: Boolean algebra
  • session 34: Boolean function(1)
  • session 35: Boolean function(2)
  • part 9: Discrete numeric function
  • session 36: Discrete numeric function
  • session 37: Generating function
  • part 10: Recurrence relations
  • session 38: Introduction to recurrence relations
  • session 39: Second order recurrence relation with constant coefficients(1)
  • session 40: Second order recurrence relation with constant coefficients(2)
  • session 41: Application of recurrence relation

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