Math 21-127 Calendar

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Math 21-127 Spring 2019
Concepts of Mathematics
Course Calendar

Updated 29 April 2019

This calendar is subject to revision throughout the term.

Mon, 14 Jan: Introduction, Propositional Logic: Section 1
Wed, 16 Jan: Propositional logic Section 2.1-2.4: operators, truth tables
Fri, 18 Jan: Propositional logic Section 2.5-3: De Morgan's Laws, conditionals
LaTeX File for notes

Mon, 21 Jan: No Class
Wed, 23 Jan: Logic and proofs Section 1: simple conditionals
Fri, 25 Jan: Logic and proofsSection 2: biconditionals
LaTeX File for notes

Mon, 28 Jan: Logic and proofs Section 3: Contradiction
Wed, 30 Jan: No Class (cold!)
Fri, 1 Feb: Logic and proofs Section 4: Contrapositive and Section 5: Working by cases
LaTeX File for notes

Mon, 4 Feb: Logic and Proof Section 5: Working by cases and Section 6: quantification
Wed, 6 Feb: Logic and Proof Quantification, cont., and Understanding number sets Section 1: N, Z, Q, R
Fri, 8 Feb: Understanding number sets Section 2: N, especially
LaTeX File for notes

Mon, 11 Feb: Induction Section 1: Intro to induction
Wed, 13 Feb: Induction Section 2: Weak induction, examples
Fri, 15 Feb: Induction Section 3: Strong induction
LaTeX File for notes

Mon, 18 Feb: Set Theory Section 1/2: basics
Wed, 20 Feb: Review
Fri, 22 Feb: Exam 1
LaTeX File for notes

Mon, 25 Feb: Set Theory Section 3: basics, continued
Wed, 27 Feb: Set Theory Section 4: Well-Ordering Principle, applications
Fri, 1 Mar: Functions Section 1
LaTeX File for Set Theory notes
LaTeX File for Functions notes

Mon, 4 Mar: Functions Section 2: injectivity and surjectivity
Wed, 6 Mar: Functions Section 3: bijectivity and inverses
Fri, 8 Mar: No Class
LaTeX File for notes

Mon, 11 Mar: No Class
Wed, 13 Mar: No Class
Fri, 15 Mar: No Class

Mon, 18 Mar: Cardinality, Section 1/2: how big is a finite set?
Wed, 20 Mar: Cardinality, Section 2: Size of finite sets, continued
Fri, 22 Mar: Combinatorics Section 1: Basics
LaTeX File for Finite Cardinality notes
LaTeX File for Combinatorics Notes

Mon, 25 Mar: Combinatorics Section 1: Continued
Wed, 27 Mar: Combinatorics Section 2: counting in two ways
Fri, 29 Mar: Combinatorics Section 3: counting by bijection
LaTeX File for notes

Mon, 1 Apr: Counting infinity: Section 1/2: Countable sets
Wed, 3 Apr: Counting infinity: Section 3: Uncountable sets
Fri, 5 Apr: Infinite sets: Continuum Hypothesis and other Axiom conversations
LaTeX File for infinite cardinality notes

Mon, 8 Apr: Review
Wed, 10 Apr: Exam 2
Fri, 12 Apr: No Class

Mon, 15 Apr: Division: Division Theorem, GCDs, Euclidean Algorithm
Wed, 17 Apr: Division: Bezout's Lemma, coprimality, Diophantine equations
Fri, 19 Apr: Section 1:Equivalence Relations, modular arithmetic
LaTeX file for Division notes
LaTeX file for Equivalence Relation Notes

Mon, 22 Apr: Section 2.1: Multiplicative inverses
Wed, 24 Apr: Section 2.2:Euler's Totient Theorem
Fri, 26 Apr: Chinese Remainder Theorem
LaTeX file for Chinese Remainder Theorem notes

Mon, 29 Apr: Posets
Wed, 1 May: Posets, a bit more
Fri, 3 May: Review

FINAL EXAM Friday, 10 May, 5:30-8:30 (location TBA)