2. Teaching
3. MAT431
4. Homework

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. 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: Read the Preface and Introduction. The purpose of Chapter 2: Preliminaries is to summarize most of the content from MAT 320 that we need to be familiar prior to starting something new. Read through this chapter and complete any 5 problems in Section 2.1, 1 problem in Section 2.2, and 5 problems in Section 2.3. I encourage you to try ones you aren’t quite certain how to do in order to maximize your review. In addition, make a list of a few problems you are not sure how to complete. (Due Wednesday, August 25)
• Homework 4: Complete Problems 3.2-3.5 from Chapter 3: The Real Numbers. (Due Friday, August 27)
• Homework 5: Complete Problems 3.8, 3.9, 3.13, 3.14 from Chapter 3: The Real Numbers. (Due Monday, August 30)
• Homework 6: Complete Problems 3.15 and 3.16 from Chapter 3: The Real Numbers. (Due Wednesday, September 1)
• Homework 7: Complete Problems 3.18-3.22 from Chapter 3: The Real Numbers. In addition, read and digest Problem 3.17, which you can take for granted moving forward. (Due Friday, September 3)
• Homework 8: Complete Problems 3.23, 3.25, 3.28, 3.30 from Chapter 3: The Real Numbers. In addition, read and digest Problems 3.26, 3.27, and 3.29, which you can take for granted moving forward. (Due Wednesday, September 8)
• Homework 9: Complete Problems 3.31-3.35 from Chapter 3: The Real Numbers. (Due Friday, September 10)
• Homework 10: Complete Problems 3.37, 3.38, 3.41-3.43 from Chapter 3: The Real Numbers. (Due Monday, September 13)
• Homework 11: Complete Problems 3.44, 3.45, 3.47, 3.48 from Chapter 3: The Real Numbers. (Due Wednesday, September 15)
• Homework 12: Complete Problems 3.49(a or b), 3.50(a or b), 3.51, 3.52 from Chapter 3: The Real Numbers. (Due Friday, September 17)
• Homework 13: Complete Problems 3.53 and 3.54 from Chapter 3: The Real Numbers. (Due Monday, September 20)
• Homework 14: Complete Problems 3.55 and 3.56 from Chapter 3: The Real Numbers and 4.2-4.6 in Chapter 4: Standard Topology of the Real Line. (Due Wednesday, September 22)
• Homework 15: Complete Problems 4.7-4.9, 4.11 in Chapter 4: Standard Topology of the Real Line. (Due Friday, September 24)
• Homework 16: Complete Problems 5.8, 5.9, 5.15-5.17 in Chapter 5: Sequences. (Due Wednesday, October 6)
• Homework 17: Complete Problems 5.19, 5.20, 5.22, 5.24 in Chapter 5: Sequences. (Due Friday, October 8)
• Homework 18: Complete Problems 5.25, 5.26, 5.28, 5.29 in Chapter 5: Sequences. Problem 5.27 is optional. (Due Monday, October 11)
• Homework 19: Complete Problems 5.30, 5.31 in Chapter 5: Sequences and 6.3, 6.4 in Chapter 6: Continuity. (Due Wednesday, October 13)
• Homework 20: Complete Problems 6.5-6.8 in Chapter 6: Continuity. (Due Friday, October 15)
• Homework 21: Complete Problems 6.9-6.14 in Chapter 6: Continuity. (Due Monday, October 18)
• Homework 22: Complete Problems 6.15, 6.16, 6.18 in Chapter 6: Continuity. (Due Wednesday, October 20)
• Homework 23: Complete Problem 6.19 in Chapter 6: Continuity. (Due Friday, October 22)
• Homework 24: Complete problems 6.20-6.25 in Chapter 6: Continuity. (Due Monday, October 25)
• Homework 25: Complete Problems 6.27-6.31 in Chapter 6: Continuity. Problem 6.26 is optional. (Due Wednesday, October 27)
• Homework 26: Complete Problems 6.33-6.35 in Chapter 6: Continuity. (Due Friday, October 29)
• Homework 27: Complete Problems 6.36-6.38 in Chapter 6: Continuity. (Due Monday, November 1)
• Homework 28: Complete Problems 7.2, 7.3, 7.6-7.8 in Chapter 7: Limits. (Due Wednesday, November 3)
• Homework 29: Complete Problems 9.9-9.12 in Chapter 9: Integration. (Due Friday, November 19)
• Homework 30: Complete Problems 9.14, 9.15, 9.17-9.19 in Chapter 9: Integration. (Due Monday, November 22)
• Homework 31: Complete Problems 9.21, 9.22, 9.24, 9.25 in Chapter 9: Integration. Problem 9.23 is optional. (Due Wednesday, November 24)
• Homework 32: Complete Problems 9.31, 9.34, 9.35 in Chapter 9: Integration. Read and digest Problems 9.32 and 9.33. (Due Wednesday, December 1)
• Homework 33: Complete Problems 9.36, 9.37, 9.39, 9.40 in Chapter 9: Integration. (Due Friday, December 3)