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 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.
Part 1: This portion of the assignment is named “Homework X” in BbLearn, where “X” is the number of the assignment. Prior to the start of class, you will need to capture your handwritten work digitally and then upload a PDF to BbLearn. There are many free smartphone apps for doing this. I use TurboScan on my iPhone. Submitting your work prior to class allows me to see what you accomplished outside of class.
Part 2: This portion of the assignment is named “Notes X.Y” in BbLearn, where “X.Y” is the date of class. During class, we will discuss most of the problems that are due that day. While we are discussing them, you should either annotate your work and/or take notes on separate paper. It’s expected that most of the work you did prior to class will need to be refined. It is your responsibility to process this in some way. Annotating your work or taking notes will increase the chances that you are processing the work in a meaningful way. If you choose to annotate your work, please use a different color than what you originally used to complete your assignment. After class, you will need to capture your annotations/notes digitally and then upload a PDF to BbLearn.
Assignments
Unless otherwise indicated, submit each of the following assignments via BbLearn. I reserve the right to modify the assignment if the need arises. These exercises will form the basis of the student-led presentations.
- Homework 1: Read the syllabus and write down 5 important items. Submit a PDF of your written work to the corresponding assignment on BbLearn. Note: All of the exam dates only count as a single item. (Due Wednesday, January 13)
- Homework 2: Create a free Discord account, accept the invite to our Discord server, and post something about yourself in the #introductions channel. (Due Wednesday, January 13)
- Homework 3: Read the Preface and Introduction. In addition, complete 2.1, 2.2, 2.4-2.14 in Chapter 2: Preliminaries. (Due Wednesday, January 13)
- Homework 4: Quickly skim Appendices A, B, and C. In addition, complete 2.16-2.22, 2.24, 2.25, 2.28, 2.30 in Chapter 2: Preliminaries. (Due Friday, January 15)
- Homework 5: Complete 2.31-2.38, 2.40-2.42 in Chapter 2: Preliminaries. (Due Wednesday, January 20)
- Homework 6: Complete 2.43-2.50 in Chapter 2: Preliminaries. (Due Friday, January 22)
- Homework 7: Complete 2.53, 2.55-2.58, 2.60 in Chapter 2: Preliminaries. (Due Wednesday, January 27)
- Homework 8: Complete 2.61-2.65 in Chapter 2: Preliminaries. (Due Friday, January 29)
- Homework 9: Complete 2.67-2.71 in Chapter 2: Preliminaries. (Due Monday, February 1)
- Homework 10: Complete 2.72 and 2.73 in Chapter 2: Preliminaries. (Due Wednesday, February 3)
- Homework 11: Complete 2.74-2.76 in Chapter 2: Preliminaries. (Due Friday, February 5)
- Homework 12: Complete 2.78 in Chapter 2: Preliminaries and 3.2-3.4 in Chapter 3: Sequences. (Due Monday, February 8)
- Homework 13: Complete 3.5-3.8, 3.11, 3.12 in Chapter 3: Sequences. (Due Wednesday, February 10)
- Homework 14: Complete 3.14-3.18 in Chapter 3: Sequences. (Due Friday, February 12)
- Homework 15: Complete 3.19 and 3.20 in Chapter 3: Sequences. (Due Monday, February 15)
- Homework 16: Complete 3.21, 3.22, 3.25-3.28 in Chapter 3: Sequences. (Due Wednesday, February 17)
- Homework 17: Complete 3.53 and 3.54 in Chapter 3: Sequences and 4.2, 4.3, 4.5 in Chapter 4: Standard Topology of the Real Line. (Due Monday, March 1)
- Homework 18: Complete 4.6-4.10 in Chapter 4: Standard Topology of the Real Line. (Due Wednesday, March 3)
- Homework 19: Complete 4.12-4.14 in Chapter 4: Standard Topology of the Real Line. (Due Friday, March 5)
- Homework 20: Complete 4.15 in Chapter 4: Standard Topology of the Real Line and 5.3-5.5 in Chapter 5: Continuity. (Due Monday, March 8)
- Homework 21: Complete 5.6-5.10 in Chapter 5: Continuity. (Due Wednesday, March 10)
- Homework 22: Complete 5.11 in Chapter 5: Continuity. (Due Friday, March 12)
- Homework 23: Complete 5.13, 5.14 (any two), 5.15 in Chapter 5: Continuity. (Due Monday, March 15)
- Homework 24: Complete 5.16-5.20 in Chapter 5: Continuity. (Due Wednesday, March 17)
- Homework 25: Complete 5.23, 5.26, 5.27, 5.28 and read 5.21, 5.25, and 5.31 in Chapter 5: Continuity. (Due Friday, March 19)
- Homework 26: Complete 5.29, 5.30, 6.2, 6.3, 6.6, 6.9, 6.12 in Chapter 5: Continuity and Chapter 6: Limits. In addition, read and digest everything in Chapter 6 that we omitted. (Due Monday, March 22)
- Homework 27: Reread all of Chapter 6 again and then complete 6.13 and at least one part of 6.14 in Chapter 6: Limits. (Due Wednesday, March 24)
- Homework 28: Complete 7.2-7.9 in Chapter 7: Differentiation. (Due Friday, March 26)
- Homework 29: Complete 7.10, 7.11, 7.12(choose one), 7.14 in Chapter 7: Differentiation. (Due Monday, March 29)
- Homework 30: Complete 7.15-7.17 in Chapter 7: Differentiation. (Due Wednesday, March 31)
- Homework 31: Complete 8.17 and 8.18 in Chapter 8: Integration. (Due Monday, April 12)
- Homework 32: Complete 8.19, 8.21-8.23 in Chapter 8: Integration. (Due Wednesday, April 14)
- Homework 33: Complete 8.24, 8.25, 8.27 in Chapter 8: Integration. (Due Friday, April 16)
- Homework 34: Complete 8.28, 8.29(pick one), 8.30, 8.31 in Chapter 8: Integration. (Due Monday, April 19)
- Homework 35: Complete 8.33, 8.34, 8.35 in Chapter 8: Integration. (Due Wednesday, April 21)