Maths for Programmers Tutorial - Full Course on Sets and Logic

This introductory course teaches foundational discrete mathematics through sets and logic. It covers set notation and operations, laws and proofs, propositions, truth tables, conditional statements, quantifiers, and tautologies.

Syllabus

) Tips For Learning.
) What Is Discrete Mathematics?.
) Sets - What Is A Set?.
) Sets - Interval Notation & Common Sets.
) Sets - What Is A Rational Number?.
) Sets - Here Is A Non-Rational Number.
) Sets - Set Operators.
) Sets - Set Operators (Examples).
) Sets - Subsets & Supersets.
) Sets - The Universe & Complements.
) Sets - Subsets & Supersets (Examples).
) Sets - The Universe & Complements (Examples).
) Sets - Idempotent & Identity Laws.
) Sets - Complement & Involution Laws.
) Sets - Associative & Commutative Laws.
) Sets - Distributive Law (Diagrams).
) Sets - Distributive Law Proof (Case 1).
) Sets - Distributive Law Proof (Case 2).
) Sets - Distributive Law (Examples).
) Sets - DeMorgan’s Law.
) Sets - DeMorgan’s Law (Examples).
) Logic - What Is Logic?.
) Logic - Propositions.
) Logic - Composite Propositions.
) Logic - Truth Tables.
) Logic - Idempotent & Identity Laws.
) Logic - Complement & Involution Laws.
) Logic - Commutative Laws.
) Logic - Associative & Distributive Laws.
) Logic - DeMorgan’s Laws.
) Logic - Conditional Statements.
) Logic - Logical Quantifiers.
) Logic - What Are Tautologies?.