Wednesday, November 9th

Catch up on any stuff you haven’t done yet from recent posts!  See you in class.

Today’s recommendation for more on Godel’s theorem was the book Godel, Escher, Bach by Douglas Hofstadter.

Monday, November 7th

We delayed the contradiction quiz by popular vote because we were having productive discussions in class.  It will be today.  See the last post for info.

To do for class today:

  • Prepare for contradiction quiz.
  • Do practice problems from Hammack, Sections 11.1, 11.2 as needed (i.e. until they are super easy).
  • On Friday we did new groups by random selection.  Contact me if you do not have a new group because you missed class.

Wednesday, November 2nd

QUIZ TODAY:  Badges (all).  Last chance on sets & logic in class.  If you still miss them, there’s an opportunity to earn the badge by visiting me in office hours to demonstrate mastery.  More on that after the quiz.

Quiz coming up on Friday:  a proof by contradiction.  Prepare by doing examples from your book and working on the suggested examples posted here.

To do for class:

  • Prepare for the quizzes coming up.
  • Also, suggested exercises of Chapter 7 covering many different methods of proof (so choosing the correct method is part of it), which you should do sometime this week: 2, 8, 10, 12, 17, 21, 28.
  • Also, when time allows this week:  reading on relations:  Section 11 up to end of 11.1

Monday, October 31st

Happy Halloween!  Please feel welcome to wear a math costume to class (non-math costumes are alright too, but who would do that?).

Notes:

  • On Wed we’ll do a badges quiz with the last sets/logic; I’ll return this week’s one on Monday.  If you are still missing sets/logic badges after that you can demonstrate mastery one-on-one in my office hours.
  • It was pointed out it is time for new groups.  I’m going to put this off for one week; so we’ll make new groups on Friday.

To do for class:

  • Read your textbook, Section 7.  This covers some variations on the theme of proof: if-and-only-if (just two if-thens), equivalent statements (piles of if-thens), existence proofs (show the relevant example), and the concept of constructive or non-constructive proof (we encountered this with CHOMP).

Friday, October 28th

Today is a group presentation day.

I will pick groups to present as usual, but if you haven’t had a chance to present, and would like to make sure you get a chance, you can request to present, either for this week’s group-work, or you can choose something you’d like to present (e.g. from Wednesday’s worksheet or a proof we didn’t cover another time), and email me ahead of time that you’d like to do this.

Also, next week will probably be the last in-class chance for sets and logic badges, but you will be welcome to come to my office during office hours to demonstrate your understanding of a badge you have missed before the end of term.  I’ll set details after the last in-class opportunity.

Wednesday, October 26

Quiz:  Badges quiz.  This will have proof setups and counting.  I will give a *second last chance* on all sets and logic badges.

To do for class:

  • Tabulate for yourself which badges you have earned, and decide which ones you need to work on.  Study those topics.
  • Compare the badges you believe you have earned with my record on D2L, and bring your past quiz as evidence to report the discrepancy to me.  I believe I missed recording one badges quiz, so this is crucial!
  • Please bring your contradiction quiz for me to input grades also, if you haven’t yet.  Sorry for the mixup on this — I forgot to record the fourth proof quiz (contradiction) quiz grades and need you to show them to me again.

Monday, October 24

To do for class today:

  • Here are the worksheets for counting from class last week:  first and second.
  • Please try to complete the worksheets as far as possible.  On the first, make sure you are confident of your answers on questions 1-7 at least.  On the second, make sure you are confident of your answers on sections 1 and 2, at least.
  • You may wish to read some or all of Hammack, Chapter 3.  We do counting a little differently (with an emphasis on the process, not on the formalism of lists, sets, factorials and subsets), so if you find Hammack is too much of a departure, then just focus on understanding the worksheets by discussing them with me and with your group.

Wednesday, October 19th

Special Announcement:  I’m giving a math club talk Wednesday afternoon.  See here.  It is about cryptography.

Sorry that I forgot to give out the quiz on Monday, I really have trouble reading the clock.  Worse than that, I forgot to record the grades on the quiz for contradiction.

PLEASE BRING YOUR GRADED QUIZ ON CONTRADICTION TO CLASS WED

Quiz today:  Induction.  See Monday’s daily post for review problems to do in preparation.  This will be a weak induction involving a formula.

To do for today:

  • Prepare for your induction quiz!  (See Monday’s post for suggestions)