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 their own work. In general, late homework will not be accepted. However, you are allowed to turn in **up to three late homework assignments**. When doing your homework, I encourage you to consult the Elements of Style for Proofs.

Reviewing material from previous courses and looking up definitions and theorems you may have forgotten is fair game. However, when it comes to completing assignments for this course, you should *not* look to resources outside the context of this course for help. That is, you should not be consulting the web, other texts, other faculty, or students outside of our course in an attempt to find solutions to the problems you are assigned. This includes Chegg and Course Hero. On the other hand, you may use each other, the textbook, me, and your own intuition. **If you feel you need additional resources, please come talk to me and we will come up with an appropriate plan of action.** Please read NAU’s Academic Integrity Policy.

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. During class, you are encouraged to annotate your homework, but **you are required to use a different color than what you used to complete your homework**.

**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 or email me a copy of your write up prior to class. (Due Wednesday, January 12)**Homework 2:**Create a free Discord account, accept the invite to our Discord server (see welcome message in email), and post something about yourself in the #introductions channel. (Due Wednesday, January 12 by 8PM)**Homework 3:**Read the Preface and Introduction. In addition, complete 2.1-2.7 in Chapter 2: An Introduction to Groups. (Due Wednesday, January 12)**Homework 4:**Take a peek at the three appendices. In addition, complete 2.8-2.14 in Chapter 2: An Introduction to Groups. (Due Friday, January 14)**Homework 5:**Complete 2.17-2.24 in Chapter 2: An Introduction to Groups. (Due Wednesday, January 19)**Homework 6:**Complete 2.26-2.28 in Chapter 2: An Introduction to Groups. (Due Friday, January 21)**Homework 7:**Complete 2.29, 2.31, 2.32 in Chapter 2: An Introduction to Groups. (Due Monday, January 24)**Homework 8:**Complete 2.34-2.40 in Chapter 2: An Introduction to Groups. (Due Wednesday, January 26)**Homework 9:**Complete 2.41-2.44, 2.47 in Chapter 2: An Introduction to Groups. (Due Friday, January 28)**Homework 10:**Complete 2.48, 2.52, 2.55 in Chapter 2: An Introduction to Groups. (Due Monday, January 31)**Homework 11:**Complete 2.56-2.60 in Chapter 2: An Introduction to Groups. (Due Wednesday, February 2)**Homework 12:**Complete 2.61-2.65 in Chapter 2: An Introduction to Groups. (Due Friday, February 4)**Homework 13:**Complete 2.66-2.69, 2.71, 2.72 in Chapter 2: An Introduction to Groups. (Due Monday, February 7)**Homework 14:**Complete 2.73, 2.75, 2.77 in Chapter 2: An Introduction to Groups. Problems 2.74 and 2.76 are optional. (Due Wednesday, February 9)**Homework 15:**Complete 2.78-2.80, 2.82, 2.83 in Chapter 2: An Introduction to Groups. Problem 2.81 is optional. (Due Friday, February 11)**Homework 16:**Complete 3.1-3.3, 3.5-3.9 in Chapter 3: Subgroups and Isomorphisms. (Due Monday, February 14)**Homework 17:**Complete 3.10, 3.12-3.14 in Chapter 3: Subgroups and Isomorphisms. (Due Wednesday, February 16)**Homework 18:**Complete 3.15-3.20 in Chapter 3: Subgroups and Isomorphisms. (Due Friday, February 18)**Homework 19:**Complete 3.21-3.24, 3.26-3.28 in Chapter 3: Subgroups and Isomorphisms. Theorem 3.25 is optional. (Due Monday, February 21)**Homework 20:**Complete 3.32, 3.39, 3.40, 3.41 in Chapter 3: Subgroups and Isomorphisms. (Due Monday, March 7)**Homework 21:**Complete 3.43, 3.49-3.52 in Chapter 3: Subgroups and Isomorphisms. In addition, read and digest 3.44-3.47. (Due Wednesday, March 9)**Homework 22:**Complete 3.55-3.58 in Chapter 3: Subgroups and Isomorphisms. Notice that 3.53 and 3.54 appeared on the take-home test under the guise of “wicked awesome”. (Due Friday, March 11)**Homework 23:**Complete 3.61, 3.65-3.67, 3.69 in Chapter 3: Subgroups and Isomorphisms. In addition, read and digest 3.62-3.64. (Due Wednesday, March 23)**Homework 24:**Complete 4.1, 4.3, 4.4, 4.6, 4.7, 4.12 in Chapter 4: Families of Groups. In addition, read and digest all the problems that were not assigned along the way. (Due Friday, March 25)**Homework 25:**Complete 4.13, 4.20, 4.25, 4.28, 4.29 in Chapter 4: Families of Groups. In addition, read and digest all the problems that were not assigned along the way. (Due Monday, March 28)**Homework 26:**Complete 4.36-4.38 in Chapter 4: Families of Groups. In addition, read and digest all the problems that were not assigned along the way. (Due Wednesday, March 30)**Homework 27:**Complete 4.41, 4.42, 4.45 in Chapter 4: Families of Groups. In addition, read and digest all the problems that were not assigned along the way. (Due Friday, April 1)**Homework 28:**Complete 4.46, 4.47, 4.49 in Chapter 4: Families of Groups. In addition, read and digest all the problems that were not assigned along the way. (Due Monday, April 4)**Homework 29:**Complete 4.115, 4.116, 4.117, 4.119, 4.120, 4.123, 4.125 in Chapter 4: Families of Groups. (Due Monday, April 18)**Homework 30:**Complete 6.26-6.29 in Chapter 6: Products and Quotients of Groups. (Due Wednesday, April 20)**Homework 31:**Complete 6.34, any three in 6.35, and any five in 6.36 in Chapter 6: Products and Quotients of Groups. (Due Friday, April 22)**Homework 32:**Carefully read Chapter 7: Homomorphisms and the Isomorphism Theorems up to Definition 7.8 and then complete 7.9 and 7.11. (Due Monday, April 25)**Homework 33:**Complete 7.14 and 7.15 in Chapter 7: Homomorphisms and the Isomorphism Theorems. (Due Wednesday, April 27)**Homework 34:**Complete any two of 7.23, 7.24, 7.25, 7.26, 7.27 in Chapter 7: Homomorphisms and the Isomorphism Theorems. Problem 7.26 is very fun! (Due Friday, April 29)

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Flagstaff and NAU sit at the base of the San Francisco Peaks, on homelands sacred to Native Americans throughout the region. The Peaks, which includes Humphreys Peak (12,633 feet), the highest point in Arizona, have religious significance to several Native American tribes. In particular, the Peaks form the Diné (Navajo) sacred mountain of the west, called Dook'o'oosłííd, which means "the summit that never melts". The Hopi name for the Peaks is Nuva'tukya'ovi, which translates to "place-of-snow-on-the-very-top". The land in the area surrounding Flagstaff is the ancestral homeland of the Hopi, Ndee/Nnēē (Western Apache), Yavapai, A:shiwi (Zuni Pueblo), and Diné (Navajo). We honor their past, present, and future generations, who have lived here for millennia and will forever call this place home.