Trent University
Mathematics 3200H
Number Theory
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Prerequisite: MATH 1350H and MATH 2200H.

Fall 2022

• MATH 3200H Course Outline [Unofficial summary of the syllabus.]
• Assignments
• Take-Home Final Examination
• Lectures (in webm format):
  • 2022-09-08: The Divisions and Euclidean Algorithms [recording failed]
  • 2022-09-13: Divisibility and Prime Numbers
  • 2022-09-15a: Unique Factorization
  • 2022-09-15b: Infinitude of Prime Numbers and Crude Ways to Find Them
  • 2022-09-20: Linear Diophantine Equations and Modular Arithmetic
  • 2022-09-22a: Linear Equations in Modular Arithmetic
  • 2022-09-22b: Linear Equations in Modular Arithmetic II
  • 2022-09-27: Linear Equations in Modular Arithmetic III
  • 2022-09-29a: The Chinese Remainder Theorem
  • 2022-09-29b: Fermat's Theorem (not the last one :-)
  • 2022-10-04: Wilson's Theorem
  • 2022-10-06a: Two Multiplicative Functions
  • 2022-10-06b: Perfect Numbers
  • 2022-10-11: Amicable Numbers
  • 2022-10-13a: Euler's Totient Function [recording failed]
  • 2022-10-13b: Euler's Theorem
  • 2022-10-18: Primitive Roots
  • 2022-11-01: Primitive Roots II
  • 2022-11-03a: Primitive Roots III
  • 2022-11-03b: Primitive Roots IV
  • 2022-11-08: Quadratic Residues
  • 2022-11-10: Quadratic Residues II [recording failed]
  • 2022-11-15: Quadratic Residues III
  • 2022-11-17a: Quadratic Residues IV
  • 2022-11-17b: Quadratic Residues V
  • 2022-11-22: Quadratic Residues VI
  • 2022-11-24a: Sums of Squares
  • 2022-11-24b: Sums of Squares II
  • 2022-11-29: Sums of Squares III
  • 2022-12-01: Sums of Squares IV

Fall 2015

• MATH 3200H Course Outline
• Assignments
• Reading for Assignment 2π + γ: A contribution to the mathematical theory of big game hunting by H. Pétard.
• Take-Home Final Examination [Due on Friday, 18 December, 2015.]

Department of Mathematics

Trent University