Dive into a comprehensive tutorial on essential mathematics and logic concepts for programmers. Explore discrete mathematics, starting with an introduction to sets, including interval notation, common sets, and rational numbers. Master set operations, subsets, supersets, and complements, along with key laws such as idempotent, identity, and distributive laws. Delve into logic, covering propositions, truth tables, and logical laws. Learn about conditional statements, logical quantifiers, and tautologies. Gain practical knowledge through numerous examples and proofs, enhancing your problem-solving skills for programming applications. Benefit from expert explanations by Shawn Grooms in this 1-2 hour course, designed to strengthen your mathematical foundation for coding success.
Overview
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?.
Taught by
freeCodeCamp.org
