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Basics of Discrete Mathematics

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Syllabus

Basics of Discrete Mathematics Part 1.
Introduction to Discrete mathematics.
Introduction to Set Theory.
Types of Sets.
Operations on Sets.
Laws of Set Algebra.
Sums on Algebra of Sets.
Relations.
Types of relations.
Closure properties in relations.
Equivalence relation.
Partial ordered Relation.
Functions.
Types of Functions.
Identity Functions.
Composite Functions.
Mathematical Functions.
Summary of Basics of Discrete Mathematics Part 1.
Basics of Discrete Mathematics Part 2.
Introduction to Counting Principle.
Sum and Product Rule.
Pigeon-hole principle.
Permutation and combination.
Propositional logic.
Connectives.
Tautology.
Contradiction.
Contingency.
Propositional equivalence.
Inverse, Converse and contrapositive.
Summary of Basics of Discrete Mathematics Part 2.

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