Class Info

  • Date: Tuesday, 12/8/20, 4:05 – 5:45pm
  • Meeting Info: The class will meet live on zoom today (password is the same as last time – send me an email if you need a reminder).
  • Note: There is no class this Thursday 12/10 (it is designated a “Reading Day” – use it to catch up on your work or study for finals!). Class will meet as usual next Tuesday 12/15.
  • Final Exam will take place on Thursday 12/17 in class. The review sheet is available here.

To-Do Before Class

  • N/A

Topics

Today we will cover the topic that we started last time:

  • Topics in Number Theory #6: Equivalence Classes, equivalence relations, congruence mod n

Objectives

  • Understand and apply the notions of equivalence relation and equivalence classes.
  • Understand and apply the definition of congruence mod n, determine various properties of this relation.

Activities

Meeting recording

Lecture notes:

lesson-27_-equivalence-relations-1Download

To-Do After Class

OPTIONAL (extra credit): Written work due Tuesday 12/15 (start of class): Section 11.1: 12, 13, 16. In addition, complete Example 11.8 at the top of p208 in the text.

Project Reflection due Tuesday 12/15 (start of class – submit by EMAIL please).

Submitting written work (instructions)

  • Take a picture of each written page of your assignment, and combine the pictures into a single pdf document.
  • Give the document a name that will help me identify it, for example: “JRodriguez-Class1Homework.pdf”
  • Use this upload link to upload your pdf (this link connects to a Dropbox folder, but you do NOT need to have a Dropbox account to use it).