Pacing Schedule
- Week 1
- Day 1: Introduction, Rational and Irrational Numbers
- Day 2: Algebraic and Transcendental Numbers, Fields
- Day 3: Irrationality Proofs, Field Axioms, Homework Set 1
- Day 4: Complex Numbers: Definitions and Basics
- Day 5: Euler's Formula, Unimodular Numbers, de Moirve's
Formula
- Week 2
- Day 6: Work through Homework Set 2
- Day 7: Dual Numbers, Double Numbers, Rings, Zero Divisors
- Day 8: Quaternions: Motivation, Definitions, Basics
- Day 9: Quaternions, Work through Homework Set 3
- Day 10: More Quaternions, Homework Set 4, Take-home Assignment
- Week 3
- Day 11: Assignment Due, Farey Sequences and Ford Circles
- Day 12: The Integers modulo n: Definitions and Basics
- Day 13: Modular Arithmetic, Equations
- Day 14: Work through Homework Set 5
- Day 15: In-class Exam: Test 2
- Week 4
- Day 16: Memorial Day Holiday-No Class Meeting
- Day 17: More Modular Arithmetic
- Day 18: Relatively Prime Integers, Euclidean Algorithm
- Day 19: Modular Units: Finding Modular Inverses
- Day 20: Groups, Groups of Units, Complex and Quaternionic Units
- Week 5
- Day 21: Work through Homework Set 6, More Groups
- Day 22: Groups of Modular Units, Euler Totient Function
- Day 23: Isomorphism: Examples
- Day 24: Work through Homework Set 7
- Day 25: In-class Exam: Test 3
- Week 6
- Day 26: Isomorphism, continued
- Day 27: Isomorphism, continued
- Day 28: Work through Homework Set 8
- Day 29: Dead Day!
- Day 30: In-class Final Exam