For Wednesday, April 29th

For Wednesday:

  • We are in review mode.  Please see the previous daily post for info on final, one-on-one badges, etc.  Just know that I’m here for office hour, questions and help if you email me.

For Monday, Apr 27

For Monday:

  • Please click here for info on the final examThe final exam is takehome during the full exam period.
  • Please know that you can do one-on-one badges via zoom or canvas to catch up the badges you missed (working with me individually to earn your badge).  Anything except Synthesis!  Email me.
  • Over the weekend I will post one more round of online quiz badges.  I will try to grade them nightly, so you can find out right away if you need to do a one-on-one badge.  They will be due Thursday night.  One-on-one badges will also end Thursday night.
  • Your semester grade finishes Thursday night and I will try to process and post it officially Friday.
  • Please watch my video giving an example and intuition for proof by induction.
  • Use the rest of your time for studying and review.  Email me for office hours!  I’m here for you.

For Friday, April 24, 2020

For Friday:

  • It’s that time of semester to take stock and catch up, etc.  Please scroll back through the last few posts on this site for detailed info about the final exam, about badges, and about grades.  Make a plan for earning your missing badges!  I can do one-on-one badges with you on zoom or asynchronously through canvas.  Email me!
  • We are entering the wrap-up/review phase now, and zoom lectures will be a mix of review and applications, instead of new tools.
  • If you have online badges requests, let me know.  I just put up a few logic ones, for example.

For Wednesday, April 22, 2020

For Wednesday:

  • Most of you had a comment on your Proof Quiz #9 about Right-Side-Left-Side proofs.  Watch the short video by the same title on canvas to understand my comments and why you should avoid them.  Here’s a PDF that discusses the same issue.
  • Check in with your grades.  There are two weeks remaining, which means two proof quizzes and two rounds of badges.  Right now Canvas is computing your estimated grade the following way:  25% proof writing (4 dropped), 25% proof logic (4 dropped), and 50% badges (excluding 4 which haven’t been graded yet: relations, modular arithmetic, induction).  This is for estimation purposes only!  It’s meant to give you the best estimate of your final grade in the class at this time.  I’ve also updated the percentage -> letter conversion to match what I’ve done historically, so the letter is also predictive now.  Contact me if you are worried.  For the details about how the final grade is actually calculated, see “Grading” on the course website.
  • I will take special requests for extra online opportunities and you can also do one-on-one badges, which are a great way to earn that stubborn leftover one — there’s no limit on one-on-one badges, and they can now be anything except Synthesis.
  • We have now covered the material in Hammack, Chapter 11 up to the end of 11.5.  Please read and do selected exercises here.
  • See the Final Exam Info.
  • Online FCQs are open, and although they are altered this year (for example, I think they won’t be available online), this is still very useful feedback, especially about the online aspects!  I would value your input.  Please take a moment to do them.  (Close: Monday, April 27 at 11:59 p.m. MT)

Final Exam Information

In light of our altered circumstances, I’ve decided to do a take-home final exam.  It will be released on Saturday, May 2nd at 12:01 am and will be due on Wednesday, May 6th at 11:59 pm.

Technological Format:  It will consist of several distinct Assignments on Canvas, available for download in PDF format.  Each of them you will hand in via the associated canvas dropbox.  You may hand in photos of handwritten work (as long as they are clearly legible) or typeset PDF.  The exam PDF will be suitable for printing, with whitespace for working problems, so you can work on that if you have a printer.  Otherwise plain paper will be fine, but questions and sub-questions must be clearly labelled and pages should correspond to exam pages, ideally.  I will grade them in canvas.  (This is a similar workflow to how the proofs quizzes work online.)

Content Format:  The final will involve two sections, weighted equally in points value and estimated time taken to complete.  The overall size of the exam will be comparable to an in-person final.

  • Proof Writing:  3-5 written proofs, similar to proof quizzes.
  • Badges Content:  Short answer questions similar to badges, but not divided/labelled by badge topic.  These will range from simple working knowledge of definitions to synthesis style questions that involve more creativity and wide scope of knowledge.

Honor Code:  There are a few rules to understand here that apply during the takehome exam period:

  1. NO HUMAN COLLABORATION.  You may not collaborate with or obtain help from, or even communicate with, any other human being with regards to the course content.  That means you can’t even discuss general questions, like “remind me how induction works.”  You may not request exam answer help through online services of any kind.  You may not post the exam questions online or share them with others in any way.
  2. YOU CAN CONTACT ME.  The exception to the above is that you may contact me for clarifications and general help via email or zoom.  This ensures you do have a back-up resource if you discover you didn’t study something well and need some general help with a topic… but don’t leave this to the last minute, as I don’t promise to be awake/available at all hours.  I will not answer very specific questions or work problems with/for you, but I will provide general help with concepts and topics sufficiently far/general compared to the specific exam content.
  3. NO CONTACT WITH CLASSMATES.  Specifically, you may not be in contact with any other person in our class (Math 2001 Section 005 Spring 2020) in any way on any topic, unless you request and obtain an exception from me for some reason.
  4. NO CALCULATORS/SOFTWARE.  You may not use calculators, Wolfram Alpha, or any software, to aid in answering questions.
  5. OPEN BOOK.  The exam will otherwise be open book.  That is, after obtaining and reading the exam questions, you can do google searches to your heart’s content, and you can read the text, notes, view lectures, etc.  (I still encourage you to write answers without having your notes/resources open next to you (it’s a better academic habit), but I will not require this.)
  6. CITING, AND NOT COPYING.  If you do, by some magic, find a solution online or elsewhere to the exact or very similar problem given on the exam, you may read it for understanding, but you must do two things:  (1) write your solution in your own words without concurrent reference to the available solution, and (2) cite your source by writing the URL or citation on your solution.  Copying is not allowed.

For Monday, April 20th, 2020

For Monday:

  • Please work through the Worksheet on Relations.
  • Take stock of where you are in the course and be in touch.  I have appreciated the chance to reconnect with students via office hours after class.  Some students are doing in-person make-up badges.
  • I will post Logic III and V badges again; are there any other special requests out there?
  • “Synthesis” badges refers to bringing your learning together from all the different parts of the course, and these are your chance to show off your hard studying and creativity, like a capstone.  These are challenging, but worth the attempt to see how far you can take things and to think outside the box.  However, you can’t do them one-on-one.  I’ll try to post more over the next two weeks to keep you on your toes.

For Friday, April 17th

For Friday:

  • There are various badges quizzes for you to try and a proof quiz due Friday.  I’m open to special requests, BTW, to have more copies of certain badges.
  • Wednesday in class we introduced modular arithmetic.  If you missed, please watch the video for a thorough explanation, including of how to do the associated worksheet.  Do the worksheet.
  • In the video I state several theorems for you to try to prove on your own.  Try them.
  • By the way, Hammack doesn’t care enough about Congruence modulo n.  It’s Section 5.2 and doesn’t come with any exercises.  It’s a small seeming topic, but it’s the tip of a big iceberg.

For Wednesday, April 15th, 2020

For Wednesday:

  • Induction practice!  Read Hammack, Chapter 10 up to the end of 10.2.  Do Exercises selected from 1-15 for this chapter.
  • To practice for the Proofs III badge (induction), there’s this worksheet and its solutions.
  • Now, do you really understand induction?  Click this link for some erroneous induction proofs (outside link).  See if you can figure out what’s wrong with each of these!  We discussed #2 in lecture.
  • On Monday, we discussed proof by smallest counterexample; read Chapter 10.3 for more on this.  This is a smaller topic, but it’s a good one.  Revisit a couple of the Exercises above and re-prove them with smallest counterexample.
  • About Badges and Canvas Grading:
    • I’m trying to imitate the badges/proofs system we had before, but I’ve broken each badge into its own quiz.  Study for one badge at a time, then take that badge quiz and see if you can earn it.  Each one is graded out of 2, as it was in class (i.e. 2 = full credit, 1 = half credit, 0 = no credit).  Proof quizzes are graded on the same old rubric.
    • The “Online Badges Quizzes” and “Online Proof Quizzes” categories don’t count into your calculated grade on canvas.  They are just containers for the quizzes.  I will manually port over your earned badges into the “Badges” and “Proof Quizzes” part of your grades, as I did in class before the pandemic.  Those are the categories that count.
    • The calculated grade in canvas is an approximation to your final grade only.  The bottom line is I will follow the grading policies stated on  I can’t teach canvas to do the dropping correctly mid-semester, for example.  Contact me if you have any concerns or questions, and take canvas’ grade with a grain of salt.
    • If you can’t make a deadlines, or missed them, don’t read the solutions and do contact me.  I care more about you getting chances to earn your badge than I do about deadlines.  The deadlines are there to help keep you on track and make grading easier, and to release solutions on a schedule.  So talk to me.

For Monday, April 13th, 2020

For Monday:

  • Everyone:  write me an email with a quick (3 sentences) check-in.  Let me know where you are with the course.  I want to know how you’re doing, how I can help, and whether you foresee a problem.  Participation has dropped off, and for those not participating, I’m concerned about you passing the course.  I’ve essentially frozen the participation grade in the course, given circumstances, but I’m going to count this one, because it’s important, and I need to know how you are all doing.
  • Practice setting up induction using this induction worksheet.  This is practice for the Proofs III badge.
  • I will put up more synthesis badges (with later due dates) and I’ll extend the due date for the proofs quiz to Monday, as I would still like to get a chance to grade your last proofs quiz before you hand this one in.  If you handed it in and then, after some time, realize you want to update it, you can do it again and hand in the newer one.  I’ll grade the newest one on the due date.
  • I want you all to have chances to earn your badges.  I will stop making canvas quiz versions of Sets, Logic and Proofs I/II, but you can now earn these on canvas asynchronously (“One-on-One Badge” VoiceThread assignment in canvas), or by arranging a one-on-one zoom call.  Email me to arrange such a thing, or, if you try the VoiceThread, please email me to let me know.  I haven’t used VoiceThread before, so it’s a bit of an experiment for the first person to give this a try!  I appreciate your willingness.

For Friday, April 10th, 2020

For Friday:

  • Don’t forget badges and proof quiz are due Friday, on canvas.
  • Today (Wed) we introduced induction!  You may wish to revisit the video or read Hammack Chapter 10, to solidify the ideas.
  • Try to prove that 1+2+3 +… + n = n(n+1)/2 by induction.  We’ll do this, and more induction, on Friday.