Trent University
Mathematics 2200H
Mathematical Reasoning

Fall 2021

• MATH 2200H Course Outline [Unofficial summary of the syllabus.]
• The textbook: A Gentle Introduction to the Art of Mathematics [Version 3.1], by Joseph Fields.
  Licensed under the GNU Free Documentation License, version 1.3 or later.
• Polya’s Problem Solving Principles
• The Greek Alphabet
• Assignment # 1, 2, 3, 4, 5, 6, π+e, 7, 8, 9, 10, 11, Bonus
  and Solutions to Assignment # 2, 3, 4, 5, 6
• Take-Home Final Examination
• Lectures [All in webm format.]
  • Problem Solving (2021-09-13) [First part of the lecture missing due to failure to start recording.]
  • Working Through a Proof (2021-09-14)
  • Propositional Logic (2021-09-15)
  • Propositional Logic II (2021-09-20)
  • Propositional Logic III and First-Order Logic (2021-09-21)
  • First-Order Logic II (2021-09-22)
  • Set Theory (2021-09-27)
  • Set Theory II (2021-09-28)
  • Set Theory III (2021-09-29) [Failed to record.]
  • Set Theory IV (2021-10-05) notes
  • Natural Numbers (2021-10-06) notes
  • Natural Numbers II (2021-10-12)
  • Natural Numbers III (2021-10-13
  • Natural Numbers IV (2021-10-18)
  • Integers (2021-10-19)
  • Integers II (2021-10-20)
  • Integers III (2021-11-02)
  • Integers IV & Rationals (2021-11-03)
  • Rationals II (2021-11-08)
  • Rationals III (2021-11-09)
  • Reals (2021-11-10)
  • Reals II (2021-11-15)
  • Reals III (2021-11-16) [Failed to record.]
  • Reals IV (2021-11-17)
  • Ordinals (2021-11-22)
  • Ordinals II (2021-11-23)
  • Ordinals III (2021-11-24)
  • Ordinals IV (2021-11-29)
  • Ordinals V (2021-11-30)
  • Cardinals (2021-12-01)
  • Cardinals II (2021-12-06)
  • Cardinals III (2021-12-07)

Fall 2020

• MATH 2200H Course Outline
• The textbook: A Gentle Introduction to the Art of Mathematics [Version 3.1], by Joseph Fields.
  Licensed under the GNU Free Documentation License, version 1.3.
• Polya’s Problem Solving Principles
• The Greek Alphabet
• Lectures and notes:
  • Problem Solving - video, notes
  • Divisibility - video, notes
  • Irrationals - video, notes
  • Propositional Logic - video, notes
  • Propositional Logic II - video, notes
  • First-Order Logic - video, notes
  • First-Order Logic II - video, notes
  • Set Theory - video, notes
  • Set Theory II - video, notes
  • Set Theory III - video, notes
  • Set Theory IV - video, notes
  • Natural Numbers - video, notes
  • Natural Numbers II - video, notes
  • Natural Numbers III - video, notes
  • Natural Numbers IV - video, notes
  • The Integers - video, notes
  • The Integers II - video, notes
  • The Integers III - video, notes
  • The Integers IV - video, notes
  • The Rationals - video, notes
  • The Rationals II - video, notes
  • The Rationals III - video, notes
  • Real Numbers - video, notes
  • Real Numbers II - video, notes
  • Real Numbers III - video, notes
  • Ordinals - video, notes
  • Ordinals II - video, notes
  • Ordinals III - video, notes
  • Cardinals - video, notes
  • Cardinals II - video, notes
  • Cardinals III - video, notes
  • Cardinals IV - video, notes
• Assignment # 1, 2, 3, 4, 5, 6, τ, 7, 8, 9, 10, 11,
  and Solutions to Assignment # 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.
• Take-home Final Examination

Fall 2019

• MATH 2200H Course Outline
• The textbook: A Gentle Introduction to the Art of Mathematics [Version 3.1], by Joseph Fields.
• Polya’s Problem Solving Principles
• The Greek Alphabet
• Assignment # 1, 2, 3, 4, 4 make-up, 5, 5 make-up, 6, 7, 8, 9, 10, 11, 12, Extra,
  and Solutions to Assignment # 1, 2, 3, 4, 5, 6, 8, 9, 10
• Take-Home Final Examination [Due Wednesday, 18 December, or two weeks from receipt, whichever is earlier..]

Fall 2017

• MATH 2200H Course Outline
• The textbook: A Gentle Introduction to the Art of Mathematics [Version 3.1], by Joseph Fields.
• Assignment # 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
  and Solutions to Assignment # 1, 2, 3, 4, 5, 6, 8, 9, 10.
• Take-Home Final Examination [Due Saturday, 16 December.]

Fall 2016

• MATH 2200H Course Outline
• Assignment # 1, 2, 3, 4, 5, 6, τ, 7, 8, 9, 10, 11
  and Solutions to Assignment # 1, 2, 3, 4, 5, 6
• Take-Home Final Examination [Due Friday, 16 December.]
• A Couple of Problems stolen from Lewis Carroll.

Fall 2015

• MATH 2200H Course Outline
• Assignment # 1, 2, 3, 4, 5, 6, τ, 7, 8, 9, 10, 11
• Take-Home Final Examination [Due Friday, 18 December, 2015.]

Department of Mathematics

Trent University

Maintained by Stefan Bilaniuk. Last updated 2021-12-08.