Math 3250 - Foundations of Mathematics
Math 3250 - Foundations of Mathematics
January 20 - Introduction to Class, Naive set theory
January 22 - Set Theory continued, Proofs with sets, Introduction to Logic
January 27 - Logic, Quantifiers, Intro to Combinatorics
January 29 - Combinatorics (Permutation/Combinations)
February 3 - Combinatorics (Pigeonhole Principle, Binomial Theorem, Inclusion-Exclusion), Intro to Proofs
February 5 - Intro to Proofs (Direct, Contrapositive, Contradiction)
February 10 - Proofs continued (Zoom lecture)
February 12 - Proofs part 3
February 19 - Proving n^2 - n is even in 7 different ways
February 24 - Principal of (weak) induction
February 26 - Weak Induction (continued), Strong Induction
March 3 - Strong Induction
March 5 - Number Theory (Divisibility, Modular Arithmetic)
March 10 - Number Theory (Primes)
March 12 - Number Theory (Euclidean Algorithm, Bézout's Little Theorem)
March 19 - Modular Arithmetic and Euclid's Lemma, Introduction to Relations
March 31 - Relations
April 2 - Equivalence Relations and Partitions, Introduction to Functions
April 7 - Functions (injective, surjective, bijective, etc)