First, thank you all for a wonderful semester. I really enjoyed having you all as students. Thank you for your interesting presentations and great questions and ideas throughout the semester. I learned a lot.
A few final reminders:
- Your grades are now complete for the semester in canvas. The number-to-letter conversion is now set to match my expected conversion. I may adjust this slightly, but I have promised not to make it harsher, only kinder.
- The final proof quiz or other left over work can be picked up in my office hours.
- Office hours are expanded:
- Thursday 12:30-2 pm
- Friday noon-2 pm
- no office hours on the weekend
- you can earn one badge this week in office hours (come prepared)
- The final exam will resemble 1/2 badges quizzes (short answer questions) and 1/2 proof quizzes. Studying from these materials throughout semester is your best preparation.
- Here’s what we covered in depth in Hammack:
- Sets: 1.1-1.6
- Logic: 2.1-2.10
- Counting: 3.1-3.4
- Direct Proof: 4.1-4.5
- Contrapositive Proof: 5.1-5.3
- Proof by Contradiction: 6.1-6.4
- Non-Conditional Proof: 7.1, 7.3-7.4
- Proofs involving Sets: 8.1-8.3
- Disproof: 9.1-9.3
- Induction: 10.1-10.3
- Relations: 11.1-11.5
- Functions: 12.1-12.6
- Cardinality of Sets: 13.1-13.3
- The sections not listed above are also included in the class in a weak sense, but we did not study them in detail. In other words, a few points on the final exam may be given for very complete reading of the textbook, including these sections, or I may draw novel examples from these sections (sometimes synthesis badges were inspired by these sections).
- We also covered some topics that don’t appear in Hammack, most notably graph theory, and lots of interesting examples for induction, etc. So please also review your class notes and handouts.
- Finally, since I was asked, nothing about elliptic curves will be on the exam.
- The final exam is in our regular room. This information should show in your my.cu.edu and also via the registrar’s list of times. It is:
- Section 001: Saturday May 5, 4:30 pm.
- Section 002: Sunday May 6, 1:30 pm.
- I wish you a wonderful summer. Check out the links in Fun, and be in touch down the road to let me know where you’ve ended up.
Wednesday is our last class!
Reminders and announcements:
- Office hours this week are Thursday 12:30-2:30 and Friday 1-2. Remember you can earn a badge in office hour, by preparing as described in this old post.
- The last badges quiz is Monday. Plan which ones you will study for. All information is updated in canvas.
- Groupwork is due Friday. I’m posting some example combinatorial proofs here.
- You can present on Friday if you wish. I have posted my records of presentations/scribing/assignments for your participation grade on canvas. Out of concern for sufficient remaining time for presentations, I’m dropping one of the 6 requirements for the grade. See Grading.
- See the last post for grading changes and quiz schedule changes, as well as exam times.
- Please complete your online FCQs. I read these very carefully and reflect on all your feedback. The department and university also use these to evaluate faculty. They really do have an impact, so I very much appreciate your thoughtful responses.
My apologies, but I have to move today’s (Wednesday’s) 1-2 pm office hour to Friday 1-2 pm. I am also expanding Thursday’s office hour. Please email me if you need to set up a separate time. Just to confirm, this week I have office hour:
Thursday 12:30-2:30 pm
Friday 1-2 pm
My apologies about this.
- I will administer online FCQs on Wednesday. I’ll set aside 10 minutes at the end of class for you to log in and fill out FCQs on your phone, tablet or computer (I will leave the room). FCQs are very important and I strongly encourage you to fill them out. I use them to improve my teaching, and my department and university use them to evaluate me as a faculty member. If you miss class, you can also fill them out anytime at http://colorado.campuslabs.com/courseeval
- Note the grading changes below. I have been careful to make sure these do not penalize you for my miscalculation; please contact me if needed.
- Revisit the homework from the last daily post if you have not finished it.
- Read Hammack, Section 3.3. Try Exercises 1-5.
- Recall the definition 3.2 on page 74 of Hammack, of “n choose k”. Try to write a combinatorial proof that (n choose k) is the same as (n choose (n-k)). Don’t write this as an algebraic proof (it is possible to prove it by writing out both formulas as in Fact 3.3). Instead, explain why both quantities count the same thing, and must therefore be equal.
- There are a lot of useful things in the last daily post: review it (exam schedule, info on badges in office hour, consider presenting this week, etc.)
Important Grading Changes: I miscalculated and didn’t realize we are missing one last friday. Here are the adjustments:
- There will be only one more proof quiz, on Wednesday May 2nd. Your grade will be best 7 of your 13 efforts, overall.
- This week’s group assignment is the last assignment. For participation, your 5% presentation/participation/groupwork grade in the class will be based on 6 items instead of 7: if you present at least 2 times, and scribe at least 2 times for a group, and hand in at least 2 decent efforts at the individual works on canvas. (Your grade will otherwise be proportional to how many of the 6 tasks above you have done decently.)
- These adjustments are now changed in the Grading page.
Have a great weekend, all!
- Return to the Counting Worksheet and work on 1-12 if you aren’t sure about your answers yet. We’ll finish taking this up (and badges quiz questions) in class Monday.
- To help with Counting, check out Hammack, Examples 3.2 and 3.3. You can read Chapter 3 as needed to work up to these examples.
- Try the following problems from Hammack: Section 3.1, 2,4,5,7; and Section 3.2, 3,7,8.
- Be aware this coming week is the last groupwork week. It will be posted soon.
- The Monday badges quiz will include everything except Sets, Logic and Proofs. In other words, it will be Counting, Relations, Functions, Modular Arithmetic and Synthesis.
- Next week’s Friday Proof Quiz will be a Combinatorial Proof (count something two different ways to prove a formula).
- We will focus on Counting and Combinatorial Proof all next week.
- You may earn one badge in office hour next week (any badges except Synthesis). This is an excellent way to help your grade! Please prepare as described in the original post. Tip: choose a badge you are having trouble getting full credit on, or is no longer on the quiz. You can check which badges you have on canvas. You can schedule a time (email me) if the regular hours aren’t good for you.
- Here’s your final exam schedule.