This is your last daily post!
- No proof for feedback because we have the functions quiz in class. The practice problems are available under the Materials Archive tab. That’s your work for today.
- By midnight Wednesday night, please hand in your completed final self-eval sheet. There’s a separate submission box on canvas for this.
- The final exam is on Monday. It will have proofs, yes. It will be as if I stapled together a bunch of proof quizzes and content quizzes.
- The deadlines have passed for grade improvements, but if you have MISSED a content quiz and not made it up, please contact me ASAP.
- There is an opportunity for a proof improvement activity due at the final exam. This is optional, and may improve your proof grade.
- By midnight Tuesday night, please do your FCQs. I read them with care, and they inform my future teaching, and they factor into department teaching evaluation. They really do matter.
- For office hours from now until the final, there’s a link to reserve a slot on the canvas main page (a google calendar reservation system), in case you want individualized reserved times (Math 308 in math building). You can also email/discord me.
- Class was recorded and will be on canvas.
Proof for Feedback:
- Consider the following relation on the rational numbers: rational numbers a and b are “integrally related” if their difference is an integer. Prove that this is an equivalence relation.
- Read Chapter 12 up to the end of Section 12.1 and do the exercises from 12.1.
- Keep going on the second functions worksheet we began on Monday. We will take this up in class.
Proof for feedback:
none (test on Relations wednesday)
- You have a test on Relations Wednesday. There are practice problems on the Materials Archive tab. You can also re-read Hammack, Chapter 11 and do exercises there.
- Late addition/notice/clarification: I will also test modular arithmetic (I forgot to include some practice problems in the practice problems sheet, but see Hammack, 11.5 and its exercises. Know how to do modular arithmetic.
Proof for Feedback:
Induction again! Hamkins, exercise 4.1: Show that for all integers .
- Compare your recent proofs for feedback to solutions (all listed on “Materials Archive” above).
- Compare your last proof quiz (6, induction) to the solutions. If you missed Monday’s class and don’t have your quiz back, contact me and I can send a picture. Also, class was recorded so you can view it on canvas.
- Be prepared for the induction proof quiz on Wednesday.
- Read Hammack, Chapter 11 up to the end of 11.2. Do exercises from 11.1 and 11.2.