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	Mathematics-Online course:
	Basic Mathematics

Table of Contents:

• Propositional Logic
  • Statement
  • Logical Operations
  • Relations between logical operations
  • Quantifiers
  • Direct Proof
  • Indirect Proof
• Sets
  • Set
  • Sets of Numbers
  • Operations on Sets
  • Laws for Operations on Sets
  • Cartesian Product
  • Relation
  • Relational Database
  • Properties of Relations
• Mappings
  • Map
  • Properties of Mappings
  • Composition of Mappings
  • Inverse Mapping
• Natural Numbers
  • Properties of natural numbers
  • Primes
  • The Sieve of Eratosthenes
  • Prime Factorization
  • Countable Sets
  • Mathematical Induction
  • Grand Slam
  • The Paradox of Grey Mice
• Combinatorics
  • Factorial
  • Binomial Coefficient
  • Pascal's Triangle
  • Binomial Theorem
  • Identities for Binomial Coefficients
  • Picking of Subsets
  • Vehicle Licence Plates
• Real Numbers
  • Rational Numbers
  • Decimal Fractions
  • Real Numbers
  • Normalized Floating Point Number
  • Total Order of Real Numbers
  • Bernoulli's Inequation
  • Cantor Set
  • Supremum and Infimum
  • Interval
  • Absolute Value of Real Numbers
• Complex Numbers
  • Complex Numbers
  • Complex Conjugation
  • Absolute Value of Complex Numbers
  • Euler-Moivre-Formula
  • Gaussian Plane
  • Multiplication of Complex Numbers
  • Division of Complex Numbers
  • Complex Resistance in A.C. Networks
  • Complex Roots of Unity
  • Powers of Complex Numbers
  • Mandelbrot Set
  • Perpendicular Bisector in the Gaussian Plane
  • Circle in the Gaussian Plane