We’ll use this page to keep track of what has happened each day in class. It won’t contain any of the nitty-gritty details, but will instead serve to summarize what has transpired each day.

Week 1

  • Monday, January 15: Martin Luther King Jr. Day, no classes.
  • Wednesday, January 17: First day! The first few minutes of class were devoted to me attempting to learn names. Next, I summarized what to expect from the course, toured the the course webpage, and summarized a few items on the syllabus. With the time we had left, we briefly tinkered with Spinpossible.
  • Friday, January 19: I think we had a great second day! After fielding a few questions about the syllabus and reminding students about the day-to-day structure, we divided the class up into 10 small groups, each tasked with discussing one of the homework problems. We had RF, RD, SJ, JB, VM, ER, and HH presented their proposed solutions to Problems 2.1, 2.2, 2.3, 2.4, 2.5, 2.7, and 2.8, respectively. Along the way I presented a solution to Problem 2.6. We will wrap up Problems 2.9, 2.10, and 2.11.

Week 2

  • Monday, January 22: Another great day! We had AS, ML, SJ, JW, QC, LD, and MD present Problems 2.10, 2.11, 2.12/2.14, 2.13(a), 2.13(b), 2.14(c), 2.14, and 2.17, respectively. Along the way, I presented Problems 2.9, 2.18, and 2.19. We had 2 minutes at the end to discuss Weekly Homework 1 and do a quick introduction to LaTeX.
  • Wednesday, January 24: After a quick summary of what a group is, we jumped into student presentations. We had TC, ER, JC, AM, JW, FA, and AT present Problems 2.20(a), 2.21(a), 2.22(a), 2.23(a), 2.24, 2.26(a), and 2.26(b), respectively. Along the way, I discussed part (b) for 2.20-2.23. We discussed LaTeX briefly in the last few minutes of class.
  • Friday, January 26: We accomplished a lot today. Most presenters were chosen in advance. We had MM, ML, MS, AS, FZ, BH, and LD present Problem 2.27, Problem 2.28, Theorem 2.29, Problem 2.31, Problem 2.32, Problem 2.34, and Theorem 2.37, respectively. Along the way, I covered Problems 2.35 and 2.36.

Week 3

  • Monday, January 29: After reviewing Problems 2.35, 2.36, and 2.38, we spent 10 minutes discussing LaTeX. Next, I somewhat sloppily divided the class up into 5 small groups, each tasked with discussing one of the homework problems. After a few minutes, we had CW, JB, MS, and RF present Theorem 2.39, Problem 2.40, Corollary 2.41, and Theorem 2.42, respectively. We will discuss Theorem 2.43 on Wednesday.
  • Wednesday, January 31: Even though we didn't get to all the problems today, I feel like we covered a tremendous amount of content. We had JC, DS, RH, GT, DC, and JS present Theorem 2.43 (which as left over from Monday), Theorem 2.44, Theorem 2.45, Theorem 2.47(a), Theorem 2.47(b), and Problem 2.48, respectively. Theorem 2.50 and Problems 2.53-2.55 will likely get discussed on Friday when Dr. Falk covers for me.
  • Friday, February 2: Dr. Falk covered for me while I was out of town. My understanding is that Dr. Falk covered Theorem 2.50, Problem 2.53, and Problem 2.54. Along the way, there was also some discussion of the free group on one letter and the free group on two letters.

Week 4

  • Monday, February 5: We almost got caught up today. After I lead some discussion about Problems 2.55-2.58, we had TC, QC, MM, MD, AT, AM, CW, BH, and RD present Problems 2.59(a), 2.59(b), 2.59(c), 2.61, 2.62, 2.70(a), 2.70(b), and 2.70(c), respectively. We also discussed Problems 2.64-2.66. We will discuss Theorem 2.63, Problem 2.67, and Problem 2.69 next time.
  • Wednesday, February 7: It was a busy day and we managed to get caught up on all the outstanding problems. We had RH, FZ, FA, ML, HH, VM, AS, and SJ present Theorem 2.63, Problem 2.67, Problem 2.69, Problem 2.70(d), Problem 2.70(e), Problem 2.70(f), Problem 2.70(g), and Problem 2.71(ab). In the last couple minutes of class I cranked through Problem 2.71(c).
  • Friday, February 9: The students took the in-class portion of Exam 1.

Week 5

  • Monday, February 12: I lectured over the remaining portion of Chapter 2.
  • Wednesday, February 14: I lectured over the beginning of Chapter 3. We discussed up to Problem 3.12.
  • Friday, February 16: After handing back the in-class portion of Exam 1, we split the class up into several small groups. We had LD, ER, JB, ML, CW, DC, RH, FZ, and RD present Problems 3.13(a), 3.13(b), 3.13(c), 3.13(d), 3.15(a), 3.15(b), 3.16(a), 3.16(b), and 3.16(e), respectively. Along the way, I discussed Problems 3.14 and 3.16(c). We will tackle the leftover problems on Monday.

Week 6

  • Monday, February 19: We spent the first few minutes summarizing the notion of the center of a group. Next, AM, GT, BH, JW, JC, MD, DC, JS, and SJ presented Problem 3.17, Theorem 3.19, Problem 3.20, Theorem 3.21, Problem 3.22(a)(b), Problem 3.22(c)(d), Problem 3.22(e), Problem 3.22(f)(g), and Problem 3.22(j)(k), respectively. Along the way, I presented Problem 3.18. We will address parts (h) and (i) of Problem 3.22 on Wednesday.
  • Wednesday, February 21: After handing back the take-home portion of Exam 1, we jumped right into student presentations. We had QC, RF, VM, RD, AT, JS, MS, and AS present Problem 3.22(h), Problem 3.22(i), Theorem 3.23, Problem 3.25, Problem 3.27, Problem 3.28, Problem 3.29, and Problem 3.30, respectively. Along the way, I also quickly proved Theorem 3.26. We will take care of Problems 3.31 and 3.32 next time.
  • Friday, February 23: We got a lot done today and nearly got through everything. We kicked off with a quick discussion of matching for finite groups involving Cayley diagrams. We had MM, MD, VM, CW, FZ, TC, ER, MS, and SJ present Problem 3.31, Problem 3.32, Problem 3.33, Theorem 3.34, Problem 3.35, Problem 3.36, Problem 3.37, Problem 3.38, and Problem 3.39, respectively. We will take a look at Problem 3.40 on Monday.

Week 7

  • Monday, February 26: Coming soon.
  • Wednesday, February 28: Coming soon.
  • Friday, March 2: Coming soon.

Dana C. Ernst

Mathematics & Teaching

  Northern Arizona University
  Flagstaff, AZ
  Google Scholar
  Impact Story

Current Courses

  MAT 220: Math Reasoning
  MAT 411: Abstract Algebra

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