Wednesday, September 28

Quiz:  Badges quiz for sets and also some of the logic badges (Logic I, II and IV).  Some of these logic badges are early (before we’ve covered everything), but it’s just another opportunity to get feedback.  Note, you can look up the definition of “converse” on page 44 to help prepare.

To do for class:

  • Read Chapter 6 up to end of 6.1.  Try exercises 1 and 2 in Chapter 6.
  • Read 2.4, 2.5 and 2.6.  Do exercises of 2.4, try a few of 2.5 truth tables, and a couple of 2.6 exercises A.
  • In class we will talk about proof by contradiction.  If desired, I will take up the contrapositive worksheet handed out Monday also.

Monday September 26th

Quiz:  A proof by contrapositive, using the types of definitions we are familiar with (but not sets).

Advice on quiz:  You will find many practice problems in Chapter 5, Section A of the exercises.  Odd numbers have solutions in back.  Contrapositive proof is just direct proof with one extra step (replacing the statement with its contrapositive), so you may find it helpful to try doing that one step on all the exercises.

To do for class:

  • Read Chapter 4 through to the end now, now that we’ve spent lots of time on these sorts of proofs.  In particular, pay attention to Section 4.4, about cases, which we discussed Friday.
  • Read Chapter 5.  This will, at this point, be review, so it should solidify things you have been working on.
  • Try Chapter 4 exercises 12-15 if you want to work on proof in general and cases; otherwise do Chapter 5 exercises to prepare for the quiz on contrapositive (as above).

Wednesday September 21

No quiz today.

For class today:

  • Please visit Hammack, Chapter 2, as follows:
    • Read Chapter 2.1 for context (but it doesn’t approach things exactly the way I do, so don’t sweat this one)
    • Read Chapter 2.2 in detail, as it is another introduction to basic truth tables (different than Monday’s), and another viewpoint may help.
    • Read Chapter 2.3 in detail, which is all about the truth table for “implies” (what we did Monday), again, another viewpoint may help
    • Do exercises for Chapters 2.2 and 2.3.  These are quick, snappy exercises, but they will be helpful.
    • If time permits, do the same for 2.4.

Monday September 19th

Quiz today in class:  Sets badges.

To do for today:

  • Read Chapter 8 of Hammack up to the end of 8.3.  This discusses proofs involving sets.  It may use some terminology or notation we are unfamiliar with, e.g. contrapositive.  Collect a list of such things (i.e. identify what you don’t know), but just work around it for now.
  • Study the proofs in the reading above with care and attention, the way we do during class presentations, and collect any thoughts and/or questions.
  • Please bring a clicker if you own one.

Wednesday, September 14

Quiz today: I messed up about leaving time for the quiz again Monday (doh!), so today I’ll give you TWO quizzes. The first will be a proof quiz like your last groupwork (divides/congruence) and the second will be a badges quiz on sets (see “grading” above for the topics). I’ll give you 20 minutes to do both (I’ll hand them out simultaneously) so you can decide how to spend your time between the two.

To do for class today:

  • Re-read Sections 1.1-1.5.
  • Finish up all the practice problems in 1.1-1.5.  You can use your judgment if this eventually get tedious, but as long as it is still a challenge, keep working through until you master the material.

Monday, September 12

Today we’ll switch back to thinking about sets for a bit.

Today’s quiz:  A proof quiz: something similar to the proofs you’ve done for your groupwork last week parts (a), (b), (c) and (d), i.e. concerning divides and congruence.)  (Next time we’ll start the badges quizzes.)

To do to prepare for today’s class:

  • Read 1.3, 1.4 and 1.5
  • That’s a lot of reading, but do it slowly and carefully and make yourself an outline.  We’ll return to the reading and exercises next day also.
  • I’m skipping 1.2 for now, so if sections 1.3, 1.4 and 1.5 reference section 1.2, just skip those bits for now if needed
  • Try basic exercises from each section:  for example, try a handful of 1.3 A, at least one of 1.3 B, and maybe 1.3 C 15 and 16.  Then do a few of 1.4 A, and all of 1.5 #1.