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Unit 2: Sets, number systems, counting and cardinality
Unit Outline:
2.1: Sets
Course Reader:
Union and Intersection (patrickJMT):
Venn Diagrams (patrickJMT):
More on Sets (MyWhyU):
2.2: Complex Numbers
Course Reader:
Motivation for the complex plane (Welch Labs):
Adding and subtracting complex numbers (patrickJMT):
Multiplying and dividing complex numbers (patrickJMT):
Polar form (ProfRobBob):
Understanding Euler's formula (3Blue1Brown):
2.3: Counting and elementary combinations
Course Reader:
Overview of combinatorics (ProfRobBob):
Permutations (Khan Academy):
Binomail Coefficients and the Binomial Theorem (Sarada Herke):
2.4: Cardinality
Course Reader:
Different types of infinities (Numberphile/James Grime):