On each homework assignment, please write (i) your name, (ii) name of course, and (iii) homework number. You are allowed and encouraged to work together on homework. Yet, each student is expected to turn in his or her own work. In general, late homework will not be accepted. However, you are allowed to turn in **up to three late homework assignments with no questions asked**. Unless you have made arrangements in advance with me, homework turned in after class will be considered late. When doing your homework, I encourage you to use the Elements of Style for Proofs (see Appendix B of the course notes as a reference.

The following assignments are due at the beginning of the indicated class meeting. However, most assignments will be collected at the end of the class meeting. I reserve the right to modify the assignment if the need arises. These exercises will form the basis of the student-led presentations. Daily assignments will be graded on a $\checkmark$-system. During class, **you are only allowed and encouraged to annotate your homework using the colored marker pens that I provide**.

**Daily Homework 1:**Read the syllabus and write down 5 important items.*Note:*All of the exam dates only count as a single item. Turn in on your own paper at the beginning of class. (Due Wednesday, August 29)**Daily Homework 2:**Read and sign the Student Contract. (Due Wednesday, August 29)**Daily Homework 3:**Stop by my office (AMB 176) and say hello. If I’m not there, just slide note under my door saying you stopped by. (Due by 5PM on Friday, August 31)**Daily Homework 4:**Read all of Chapter 1: Introduction of the course notes. In addition, complete 2.1-2.11 in Chapter 2: An Introduction to Groups and digest the surrounding text along the way. (Due Wednesday, August 29)**Daily Homework 5:**Skim through Appendix A: Elements of Style of Proof of the textbook. In addition, complete 2.12-2.14, 2.17, 2.18 in Chapter 2: An Introduction to Groups and digest the surrounding text along the way. (Due Friday, August 31)**Daily Homework 6:**Skim through Appendix B: Fancy Mathematical Terms of the textbook. In addition, complete 2.19-2.24 in Chapter 2: An Introduction to Groups and digest the surrounding text along the way. (Due Wednesday, September 5)**Daily Homework 7:**Skim through Appendix C: Definitions in Mathematics of the textbook. In addition, complete 2.26-2.29, 2.31, 2.32, 2.34-2.38 in Chapter 2: An Introduction to Groups and digest the surrounding text along the way. (Due Friday, September 7)**Daily Homework 8:**Complete 2.39-2.43 in Chapter 2: An Introduction to Groups and digest the surrounding text along the way. (Due Monday, September 10)**Daily Homework 9:**Complete 2.44, 2.45, 2.47, 2.48, 2.50 in Chapter 2: An Introduction to Groups and digest the surrounding text along the way. (Due Wednesday, September 12)**Daily Homework 10:**Complete 2.53-2.58 in Chapter 2: An Introduction to Groups and digest the surrounding text along the way. (Due Friday, September 14)**Daily Homework 11:**Complete 2.59 in Chapter 2: An Introduction to Groups and digest the surrounding text along the way. (Due Monday, September 17)**Daily Homework 12:**Complete 2.60-2.67, 2.69 in Chapter 2: An Introduction to Groups and digest the surrounding text along the way. (Due Wednesday, September 19)**Daily Homework 13:**Complete 3.2, 3.3, 3.5, 3.7-3.9, 3.12-3.14, any two of 3.15-3.17, 3.18 in Chapter 3: Subgroups and Isomorphisms and digest the surrounding text along the way. (Due Monday, October 1)**Daily Homework 14:**Complete 3.19-3.23, 3.26-3.28 in Chapter 3: Subgroups and Isomorphisms and digest the surrounding text along the way. (Due Wednesday, October 3)**Daily Homework 15:**Complete 3.29-3.33, 3.35, 3.36 in Chapter 3: Subgroups and Isomorphisms and digest the surrounding text along the way. (Due Friday, October 5)**Daily Homework 16:**Complete 3.37-3.43 in Chapter 3: Subgroups and Isomorphisms and digest the surrounding text along the way. (Due Monday, October 8)**Daily Homework 17:**Complete 3.44, 3.45, 3.47-3.49 in Chapter 3: Subgroups and Isomorphisms and digest the surrounding text along the way. (Due Wednesday, October 10)**Daily Homework 18:**Complete 3.50-3.55 in Chapter 3: Subgroups and Isomorphisms and digest the surrounding text along the way. (Due Friday, October 12)**Daily Homework 19:**Complete 3.56-3.62 in Chapter 3: Subgroups and Isomorphisms and digest the surrounding text along the way. (Due Monday, October 15)**Daily Homework 20:**Complete 3.63-3.65 and 4.1-4.7 in Chapter 3: Subgroups and Isomorphisms and Chapter 4: Families of Groups. (Due Wednesday, October 17)**Daily Homework 21:**Complete 4.8, 4.11-4.15 in Chapter 4: Families of Groups and digest the surrounding text along the way. (Due Friday, October 19)**Daily Homework 22:**Complete 4.34, 4.38, 4.42-4.48 in Chapter 4: Families of Groups and digest the surrounding text along the way. (Due Wednesday, October 31)**Daily Homework 23:**Complete 4.49-4.52 and sketch arguments for 4.56-4.58 in Chapter 4: Families of Groups. (Due Friday, November 2)**Daily Homework 24:**Sketch arguments for 4.59-4.61 and complete 4.63, 4.64, 4.66-4.71 in Chapter 4: Families of Groups. (Due Monday, November 5)**Daily Homework 25:**Complete 4.72-4.82 in Chapter 4: Families of Groups. (Due Wednesday, November 7)**Daily Homework 26:**Complete 4.83-4.91, 4.95, 4.96 in Chapter 4: Families of Groups. (Due Friday, November 9)

In addition to the Daily Homework, we will also have Weekly Homework assignments. For most of these assignments, you will be required to submit 2-3 formally written proofs. Typically, two of the problems will come directly from the Daily Homework from the previous week. Any additional problems will likely be new. You will be required to type your submission using LaTeX (see below for more on this). You can either submit a hardcopy of your assignment or email me the PDF of your completed work. If you email me the PDF, please name your file as `WeeklyX-Lastname.pdf`

, where `X`

is the number of the assignment and `Lastname`

is your last name. Notice there are no spaces in the filename.

**Weekly Homework 1:**On the Course Materials page there is a list of videos about growth mindset and productive failure under “Miscellaneous Materials”. Watch “Grit: the power of passion and perseverance” and any other 4 videos from the list and then write a reflection that is at least 15 sentences long. You should list the videos you watched. Rather than reflecting on each video separately, try to reflect on growth mindset, productive failure, and grit, in general. You are required to type your reflection in LaTeX. For this assignment, I suggest you use the template on Overleaf found here instead of using the “Start your homework in Overleaf” link below. (Due Thursday, September 6 by 8PM)**Weekly Homework 2:**Prove**two**of Theorems 2.29, 2.37, 2.39. You must type up your proofs using LaTeX. I suggest you use my Overleaf template, which you can access by clicking the “Start your homework in Overleaf” link below. (Due Thursday, September 13 by 8PM)**Weekly Homework 3:**Prove**two**of Corollary 2.41, Theorem 2.42, Theorem 2.47, Theorem 2.50. You must type up your proofs using LaTeX. I suggest you use my Overleaf template, which you can access by clicking the “Start your homework in Overleaf” link below. (Due Tuesday, September 18 by 8PM)**Weekly Homework 4:**Prove**two**of Theorem 2.77, Theorem 3.19, Theorem 3.21, Theorem 3.23. You must type up your proofs using LaTeX. I suggest you use my Overleaf template, which you can access by clicking the “Start your homework in Overleaf” link below. (Due Tuesday, October 9 by 8PM)**Weekly Homework 5:**Prove**two**of Theorem 3.51, Theorem 3.52, Theorem 3.53, Theorem 3.54. You must type up your proofs using LaTeX. I suggest you use my Overleaf template, which you can access by clicking the “Start your homework in Overleaf” link below. (Due Tuesday, October 16 by 8PM)**Weekly Homework 6:**Prove**two**of Theorem 4.42, Theorem 4.45, Theorem 4.46, Theorem 4.58, Theorem 4.59. You must type up your proofs using LaTeX. I suggest you use my Overleaf template, which you can access by clicking the “Start your homework in Overleaf” link below. (Due Tuesday, November 6 by 8PM)**Weekly Homework 7:**Prove**two**of Theorem 4.76, Theorem 4.79, Theorem 4.80, Theorem 4.90. You must type up your proofs using LaTeX. I suggest you use my Overleaf template, which you can access by clicking the “Start your homework in Overleaf” link below. (Due Tuesday, November 13 by 8PM)

You are required to use LaTeX to type up your Weekly Homework assignments. To do this, I suggest that you use my LaTeX Homework Template. The easiest way to get started with LaTeX is to use an online editor. I recommend using Overleaf, but there are other options. The good folks over at Overleaf have preloaded my template, so to get started, all you need to do is click the link below.

Mathematics & Teaching

Northern Arizona University

Flagstaff, AZ

Website

928.523.6852

Twitter

Instagram

Facebook

Strava

GitHub

arXiv

ResearchGate

LinkedIn

Mendeley

Google Scholar

Impact Story

ORCID

MAT 220: Math Reasoning

MAT 411: Abstract Algebra

This website was created using GitHub Pages and Jekyll together with Twitter Bootstrap.

Unless stated otherwise, content on this site is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.

The views expressed on this site are my own and are not necessarily shared by my employer Northern Arizona University.

The source code is on GitHub.