Instructions

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 with no questions asked. 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.

Assignments

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, August 25)
  • 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, August 25 by 8PM)
  • Homework 3: Complete Problems 1.2-1.5, 1.7-1.9 in the Problem Sequence for MAT 511. (Due Wednesday, August 25)
  • Homework 4: Complete Problems 1.10, 1.12-1.15, 1.17 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Friday, August 27)
  • Homework 5: Complete Problems 1.18-1.24 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Monday, August 30)
  • Homework 6: Complete Problems 1.25 and 1.26 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Wednesday, September 1)
  • Homework 7: Complete Problems 1.27-1.32 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. Be sure to read and digest Problems 1.33 and 1.36, which you can take for granted moving forward. (Due Friday, September 3)
  • Homework 8: Complete Problems 1.38-1.41 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Wednesday, September 8)
  • Homework 9: Complete Problems 1.42, 1.45, 1.47-1.50 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Friday, September 10)
  • Homework 10: Complete Problems 1.51-1.58 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Monday, September 13)
  • Homework 11: Complete Problems 1.61, 1.64, 1.65 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Wednesday, September 15)
  • Homework 12: Complete Problems 1.66, 1.68-1.70 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Friday, September 17)
  • Homework 13: Complete Problems 1.73-1.79, 1.81-1.85 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Wednesday, September 22)
  • Homework 14: Complete Problems 1.87, 1.88, 1.90, 1.92-1.94 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Friday, September 24)
  • Homework 15: Complete Problems 1.122(acdf), 1.131, 1.136-1.138, 1.142, 1.145-1.147 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Wednesday, October 6)
  • Homework 16: Complete Problems 2.28, 3.2-3.6 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Monday, October 11)
  • Homework 17: Complete Problems 3.7-3.11 in the Problem Sequence for MAT 511 and digest the surrounding text along the way. (Due Wednesday, October 13)
  • Homework 18: Complete Problems 3.12 and read Chapter 4 in the Problem Sequence for MAT 511 and make a list of things you aren’t sure you understand. (Due Friday, October 15)
  • Homework 19: If necessary, complete the reverse containment in Problem 3.12 in the Problem Sequence for MAT 511. (Due Monday, October 18)
  • Homework 20: Complete Problems 5.3, 5.8, 5.13, 5.16 and read the rest of Chapter 5 in the Problem Sequence for MAT 511 and make a list of things you aren’t sure you understand. (Due Wednesday, October 20)
  • Homework 21: Complete Problems 6.2-6.6, 6.12 in the Problem Sequence for MAT 511. You may take for granted any problems that got skipped along the way. (Due Monday, October 25)
  • Homework 22: Complete Problems 6.14 (maybe you already did it), 6.15, 6.16, 6.18, 6.19 in the Problem Sequence for MAT 511. You may take for granted any problems that got skipped along the way. (Due Wednesday, October 27)
  • Homework 23: Complete Problems 6.20, 6.21, 6.23, 6.24 in the Problem Sequence for MAT 511. You may take for granted any problems that got skipped along the way. (Due Friday, October 29)
  • Homework 24: Complete Problems 7.6, 7.8-7.10 in the Problem Sequence for MAT 511. (Due Wednesday, November 3)
  • Homework 25: Complete Problems 7.11-7.14 (choose 3) in the Problem Sequence for MAT 511. (Due Friday, November 5)
  • Homework 26: Complete Problems 7.15-7.18 in the Problem Sequence for MAT 511. (Due Monday, November 8)
  • Homework 27: Complete Problems 10.4 and 10.7 and skim 10.6 in the Problem Sequence for MAT 511. (Due Friday, November 19)
  • Homework 28: Complete Problems 10.16, 11.3, 11.4 in the Problem Sequence for MAT 511. (Due Monday, November 22)
  • Homework 29: Complete Problems 11.7, 11.10, 11.11, 11.13-11.15 in the Problem Sequence for MAT 511. (Due Wednesday, November 24)
  • Homework 30: Complete Problems 12.3-12.6 in the Problem Sequence for MAT 511. (Due Wednesday, December 1)
  • Homework 31: Complete Problems 12.7-12.11 in the Problem Sequence for MAT 511. (Due Friday, December 3)


Dana C. Ernst

Mathematics & Teaching

  Northern Arizona University
  Flagstaff, AZ
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Current Courses

  MAT 320: Foundations of Math
  MAT 431: Intro to Analysis
  MAT 511: Abstract Algebra I

About This Site

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

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Land Acknowledgement

  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 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.