Guidelines

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. 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 consult the Elements of Style for Proofs. See the syllabus for additional details.

Daily Homework 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. 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.

  • 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, January 15)
  • Homework 2: Read the Preface and Introduction. In addition, complete 2.1-2.12, 2.14, 2.16, 2.17 in Chapter 2: Preliminaries. (Due Wednesday, January 15)
  • Homework 3: Quickly skim Appendix A: Elements of Style for Proofs, Appendix B: Fancy Mathematical Terms, and Appendix C: Definitions in Mathematics. In addition, complete 2.19-2.21, 2.23, 2.25-2.28 in Chapter 2: Preliminaries. (Due Friday, January 17)
  • Homework 4: If necessary, revisit any problems from the previous homework. In addition, complete 2.30-2.33 in Chapter 2: Preliminaries. (Due Wednesday, January 22)
  • Homework 5: Complete 2.29 in Chapter 2: Preliminaries. (Due Friday, January 24)
  • Homework 6: Complete 3.6, 3.8-3.11 in Chapter 3: Point Sets and Sequences. (Due Monday, January 27)
  • Homework 7: Complete 3.12-3.14, 3.16, 3.17, 3.19 in Chapter 3: Point Sets and Sequences. (Due Wednesday, January 29)
  • Homework 8: Complete 3.20-3.24 in Chapter 3: Point Sets and Sequences. (Due Friday, January 31)
  • Homework 9: Complete 3.25-3.27 in Chapter 3: Point Sets and Sequences. (Due Monday, February 3)
  • Homework 10: Complete 3.28, 3.31-3.35 in Chapter 3: Point Sets and Sequences. (Due Wednesday, February 5)
  • Homework 11: Complete 3.37-3.39 in Chapter 3: Point Sets and Sequences. (Due Friday, February 7)
  • Homework 12: Complete 3.40-3.44 in Chapter 3: Point Sets and Sequences. (Due Monday, February 10)
  • Homework 13: Complete 3.46-3.49 in Chapter 3: Point Sets and Sequences. (Due Wednesday, February 12)
  • Homework 14: Complete 3.50, 3.52-3.54 in Chapter 3: Point Sets and Sequences. (Due Friday, February 14)
  • Homework 15: Complete 3.55 in Chapter 3: Point Sets and Sequences. (Due Monday, February 17)
  • Homework 16: Complete 3.56 and 3.57 in Chapter 3: Point Sets and Sequences. (Due Wednesday, February 19)
  • Homework 17: Complete 5.8, 5.10, 5.14, 5.15 in Chapter 5: Continuity. (Due Monday, March 2)
  • Homework 18: Complete 5.16-5.20 in Chapter 5: Continuity. (Due Wednesday, March 4)
  • Homework 19: Complete 5.21, 5.23, 5.24 in Chapter 5: Continuity. (Due Friday, March 6)
  • Homework 20: Complete 5.25-5.31 in Chapter 5: Continuity. (Due Monday, March 9)
  • Homework 21: Complete 6.2-6.4 in Chapter 6: Differentiation. (Due Wednesday, March 11)
  • Daily Homework 22: Submit a two-page PDF of any written work to the corresponding assignment on BbLearn. See BbLearn for details. (Due by 5pm on Tuesday, March 24)
  • Daily Homework 23: Complete 6.7-6.9 in Chapter 6: Differentiation. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Wednesday, March 25)
  • Daily Homework 24: Important: I made some substantial changes to Chapter 6 in an attempt to make your life easier and speed things up. I’m sorry for any confusion I’ve caused. I hope that this was the right decision for the long term. Complete 6.11, 6.14-6.18 (any three), 6.19, 6.22. I’m not sure we will have time to formally tackle 6.20 and 6.21, so we will just take them for granted. In addition, write a reflection on the student work for Problems 6.7, 6.8, and 6.9 that is posted under “Student Work” in BbLearn. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Saturday, March 28)
  • Daily Homework 25: Complete 6.23, 6.24 (either (a) or (b)), 6.27, 6.29, 6.31 in Chapter 6: Differentiation. In the interest of time, let’s take 6.30 for granted (derivatives give slopes of tangent lines). In addition, write a reflection on all of the student work for 6.14, 6.16, 6.18, 6.19, 6.22 that is posted under “Student Work” in BbLearn. Submit a digital copy (PDF) of your work in BbLearn. (Due by 8pm on Monday, March 30)
  • Daily Homework 26: Complete 6.32, 6.33, 6.34 or 6.35 (choose one), 6.36, 6.37 in Chapter 6: Differentiation. In addition, write a reflection on all of the student work for 6.23, 6.24(a), 6.29 that is posted under “Student Work” in BbLearn. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Wednesday, April 1)
  • Daily Homework 27: Complete 6.38-6.42 in Chapter 6: Differentiation. In addition, write a reflection on all of the student work for 6.32, 6.33, 6.36, 6.37 that is posted under “Student Work” in BbLearn. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Friday, April 3)
  • Daily Homework 28: Complete 7.2, 7.7-7.10 in Chapter 7: Integration. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Monday, April 6)
  • Daily Homework 29: Complete 7.11 and 7.12 in Chapter 7: Integration. In addition, write a reflection on all of the student work for 7.8, 7.9, 7.10 that is posted under “Student Work” in BbLearn. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Wednesday, April 8)
  • Daily Homework 30: Complete 7.14, 7.15, 7.17, 7.18 in Chapter 7: Integration. In addition, write a reflection on all of the student work for 7.11 and 7.12 that is posted under “Student Work” in BbLearn. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Friday, April 10)
  • Daily Homework 31: Complete 7.21, 7.22, 7.23, 7.25 in Chapter 7: Integration. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Monday, April 20)
  • Daily Homework 32: Complete 7.27, 7.28, 7.29(choose 2), 7.30 in Chapter 7: Integration. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Wednesday, April 22)
  • Daily Homework 33: Complete 7.31-7.33 in Chapter 7: Integration. Submit a digital copy (PDF) of your work in BbLearn. (Due by midnight on Friday, April 24)
  • Daily Homework 34: If needed, revisit Problem 7.33 and then complete 7.34 and 7.35 in Chapter 7: Integration. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Monday, April 27)
  • Daily Homework 35: Complete 7.37 in Chapter 7: Integration. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Wednesday, April 29)

Weekly Homework

The purpose of the Weekly Homework will be to reflect on your work done in the Daily Homework and to ensure you understand how to do the problems on your second pass. Every few days, I will post solutions (likely using video) to a subset of the problems that were recently due. Your task will be to reflect on the work you previously did for the corresponding problems and to take notes on my proposed solutions. As with the Daily Homework, you will submit your work as a PDF to BbLearn. Each Weekly Homework assignment will be worth 4 points and your score will be based on the quality of the work that you submit.

  • Weekly Homework 1: Using the solutions that I posted on BbLearn in the “Solutions” folder and the samples of student work that you’ve seen, reflect on the work you did for Daily Homeworks 23 and 24. To accomplish this, I suggest you do some combination of annotating your work and taking notes on the solutions I posted. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Thursday, April 2)
  • Weekly Homework 2: Using the solutions that I posted on BbLearn in the “Solutions” folder and the samples of student work that you’ve seen, reflect on the work you did for Daily Homeworks 25-27. To accomplish this, I suggest you do some combination of annotating your work and taking notes on the solutions I posted. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Thursday, April 9)
  • Weekly Homework 3: Write a reflection on all of the student work for 7.14, 7.15, 7.17, 7.18 that is posted under “Student Work” in BbLearn. In addition, using the solutions that I posted on BbLearn and the samples of student work that you’ve seen, reflect on the work you did for Daily Homeworks 28-30. To accomplish this, I suggest you do some combination of annotating your work and taking notes on my solutions. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Monday, April 13)
  • Weekly Homework 4: Using the solutions that I posted on BbLearn, reflect on the work you did for Daily Homeworks 31-35. To accomplish this, I suggest you do some combination of annotating your work and taking notes on my solutions. Submit a digital copy (PDF) of your work in BbLearn. (Due by 5pm on Friday, May 1)


Dana C. Ernst

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

Current Courses

  MAT 226: Discrete Math
  MAT 690: CGT

About This Site

  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.

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 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.