Friday, January 19th, 2018

For our Friday class, please do the following (mostly easy tasks this time!):

  1. Read all of the pages listed in the top bar of this website:  about, goals, syllabus, resources, grading, fun.  This is all the info about how the course will run.  I expect you to know it without covering it all explicitly in class.  Pro tip:  all my handouts will all be found on the Resources page.
  2. Understand that this course is unusual in that:
    • It is run very interactively, with lots of active learning.  I expect you to create a supportive environment in all your interactions.
    • I expect you to check this website and do work for the course between every lecture.  I will post announcements and tasks etc. by 1 pm after each lecture and I expect that you are aware of these.
    • I expect you to meet with a study group once per week outside class and present your solutions on Fridays
    • We will use a non-standard grading system.
  3. If you have any ADA Accommodations, or other concerns about the above, please talk to me as soon as possible.
  4. Please make sure you have a copy of the text.  It is available for free in PDF form (linked also on the left nav bar) or cheaply in paper form at the bookstore.
  5. Please plan to attend class faithfully unless you are contagious or ill etc (see my note about flu on the About page).  If you are waitlisted, a spotless attendance record will give you priority as room opens up (and those who do not attend will be administratively dropped).  About waitlists:  I am not allowed to enroll over the fire limit of the room.  Although in past everyone who faithfully attended was able to take the class, I cannot promise.
  6. I have begun a blog aimed at math majors.  (It is now linked under Resources tab also).  Please read the first post.  You may also optionally be interested in a lecture about the Importance of Mathematics by Timothy Gowers.
  7. Please read Chapter 4, intro and Section 4.1, i.e. pages 87-88 of the textbook, Hammack.  Read also the bottom half of page 41 (start of section 2.3).
  8. As a way of engaging with this reading material, please find an “if P then Q” type theorem of your choosing.  Tip: try googling “awesome theorems” or surfing wikipedia.  Choose one that you find interesting and understand the statement of (not from your textbook, and don’t choose something high falutin’ with words you don’t understand).  The P is called the hypothesis, and the Q is called the conclusion.
  9. Using the theorem you found, (a) identify the hypothesis and the conclusion; (b) give an example which satisfies the hypothesis and conclusion if possible; (c) give an example which fails the hypothesis and conclusion if possible; (d) give an example which fails the hypothesis and satisfies the conclusion if possible; (e) give an example which satisfies the hypothesis and fails the conclusion, if possible.  (Hint: in the example “R” of page 41, the integer 12 is an example which satisfies both hypothesis and conclusion, while 3 fails both the hypothesis and conclusion.  The integer 2 fails the hypothesis but satisfies the conclusion.)  Bring your work to class.  A reminder: I will spot check these tasks for completeness and/or use them in class, but will not generally collect and grade.  Make your best effort, but if you can’t complete a task, show me your attempts.
  10. Relax and get settled into your semester.  On Friday we will do a first proof.