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Courses covered

Logic

Logic

  • Binary
  • Truth Tables
  • Logic Gates
  • Venn and Euler Diagrams
  • Propositional Logic
  • The Square of Opposition
  • De Morgan's Laws
  • Inclusive and Exclusive OR
  • Combinatorics
  • Knight and Knave Puzzles
  • Combinatorial Game Algorithms
Introduction to Probability

Introduction to Probability

  • Bayes' Rule
  • Counting
  • Distributions
  • Expectation Value
  • Independence
  • Random Walks
  • Rule of Product
  • Rule of Sum
  • Simulation
  • Waiting Time
Mathematical Fundamentals

Mathematical Fundamentals

  • Algebraic Expressions
  • Arithmetic Operators
  • Cryptogram Puzzles
  • Discount Finance
  • Divisibility
  • Divisibility Rules
  • Logic Fundamentals
  • Rates and Ratios
  • Sequences
  • The Distributive Property
  • Variables
Geometry Fundamentals

Geometry Fundamentals

  • Angle Axioms
  • Coordinate Geometry
  • Curry's Paradox
  • Invariant Areas
  • Parallel and Perpendicular Lines
  • Perimeter
  • Similarity
  • Surface Area
  • The Pythagorean Theorem
  • Three-Dimensional Figures
  • Volume

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Courses in Foundational Math

  • Solving Equations
  • Geometry Fundamentals
  • Mathematical Fundamentals
  • Geometry I
  • Algebra I
  • Algebra II

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