Assignments
Pre-Class Assignments
PCA 1 due Friday, Jan 23.
- Send Julie an email with (a) why you love math, (b) your favorite board game, and (c) anything else that you want me to know about you.
- Think: Find integers s and t such that 3s+4t=1. Do there exist integers s, t such that 2s+4t=1? Why or why not?
PCA 2 due Monday, Jan 26.
- Read Chapter 0, the sections titled "Properties of Integers", "Modular arithmetic" (you can safely ignore the examples here, just be sure you know the definition of a=b mod n), and "Equivalence classes"
PCA 3 due Wed, Jan 28.
PCA 4 due Fri, Jan 30.
- Try exercises 3, 15, 16, 32 from Chapter 2.
- Read either Chapter 1 of Gallian, or Chapter 4 ("Dihedral Groups") of Armstrong's book Groups and Symmetry
PCA 5 due Wed, Feb 4.
PCA 6 due Fri, Feb 6.
PCA 7 due Mon, Feb 9.
- Get started on Chapter 5. Come prepared with one or two specific questions, e.g. a part of a specific proof that lost you, or an example or statement of a theorem that needs clarification.
PCA 8 due Wed, Feb 11.
- Finish reading Chapters 5, 6. Pick out a couple of beginning exercises from each chapter and come having attempted them.
PCA 9 due Fri, Feb 13.
- Pick out one exercise each from chapters 5, 6, and come having attempted these. Try to pick problems that catch your attention somehow: maybe they're examples that you particularly enjoy, or statements that seem surprising or fun to prove.
The rest of these assignments will be discussed in person, following loosely the
schedule on the left.
Homework Assignments
Assignment 1 due Monday, Feb 9.
- Chapter 3: 6, 20, 30, 34
- Chapter 4: 7, 32, 48, 61
The rest of these assignments will be assigned in person, following loosely the
schedule on the left.
