Mathematics - Discrete Mathematics (English)

   Wednesday, May 07, 2025   

Starting a new Lecture Notes Series on Mathematics - Discrete Mathematics

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Mathematics - Discrete Mathematics By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 Introduction to the theory of sets

Lecture 2: Mod-01 Lec-02 Set operation and laws of set operation

Lecture 3: Mod-01 Lec-03 The principle of inclusion and exclusion

Lecture 4: Mod-01 Lec-04 Application of the principle of inclusion and exclusion

Lecture 5: Mod-02 Lec-01 Fundamentals of logic

Lecture 6: Mod-02 Lec-02 Logical Inferences

Lecture 7: Mod-02 Lec-03 Methods of proof of an implication

Lecture 8: Mod-02 Lec-04 First order logic(1)

Lecture 9: Mod-02 Lec-05 First order logic(2)

Lecture 10: Mod-02 Lec-06 Rules of influence for quantified propositions

Lecture 11: Mod-03 Lec-01 Mathematical Induction(1)

Lecture 12: Mod-03 Lec-02 Mathematical Induction(2)

Lecture 13: Mod-04 Lec-01 Sample space, events

Lecture 14: Mod-04 Lec-02 Probability, conditional probability

Lecture 15: Mod-04 Lec-03 Independent events, Bayes theorem

Lecture 16: Mod-04 Lec-04 Information and mutual information

Lecture 17: Mod-05 Lec-01 Basic definition

Lecture 18: Mod-05 Lec-02 Isomorphism and sub graphs

Lecture 19: Mod-05 Lec-03 Walks, paths and circuits operations on graphs

Lecture 20: Mod-05 Lec-04 Euler graphs, Hamiltonian circuits

Lecture 21: Mod-05 Lec-05 Shortest path problem

Lecture 22: Mod-05 Lec-06 Planar graphs

Lecture 23: Mod-06 Lec-01 Basic definition.

Lecture 24: Mod-06 Lec-02 Properties of relations

Lecture 25: Mod-06 Lec-03 Graph of relations

Lecture 26: Mod-06 Lec-04 Matrix of relation

Lecture 27: Mod-06 Lec-05 Closure of relaton(1)

Lecture 28: Mod-06 Lec-06 Closure of relaton(2)

Lecture 29: Mod-06 Lec-07 Warshall's algorithm

Lecture 30: Mod-07 Lec-01 Partially ordered relation

Lecture 31: Mod-07 Lec-02 Partially ordered sets

Lecture 32: Mod-07 Lec-03 Lattices

Lecture 33: Mod-08 Lec-01 Boolean algebra

Lecture 34: Mod-08 Lec-02 Boolean function(1)

Lecture 35: Mod-08 Lec-03 Boolean function(2)

Lecture 36: Mod-09 Lec-01 Discrete numeric function

Lecture 37: Mod-09 Lec-02 Generating function

Lecture 38: Mod-10 Lec-01 Introduction to recurrence relations

Lecture 39: Mod-10 Lec-02 Second order recurrence relation with constant coefficients(1)

Lecture 40: Mod-10 Lec-03 Second order recurrence relation with constant coefficients(2)

Lecture 41: Mod-10 Lec-04 Application of recurrence relation