## Foundations of Math

When doing your homework, I encourage you to use the Elements of Style of Proofs (PDF) as a reference. **Note:** On each homework assignment, please write (i) your name, (ii) name of course, and (iii) Daily/Weekly Homework number.

## Daily Homework

The following assignments are to be turned in at the end of the indicated class period. I reserve the right to modify the assignment if the need arises. These exercises will form the basis of the student-led presentations each day. Daily assignments will be graded on a $\checkmark$-system. Exercises marked with * are eligible for the formal Weekly Homework assignments. During class, **you are only allowed to annotate your homework using the felt-tip pens that I will provide**.

**Daily Homework 1:**Read the syllabus and Chapter 0 of the course notes. In addition, complete 1.5, 1.6, 1.7, 1.8, 1.9 from the course notes. (Due Wednesday, January 16)**Daily Homework 2:**Read Elements of Style of Proof. Also, complete 1.11, 1.12, 1.13, 1.14, 1.15. (Due Friday, January 18)**Daily Homework 3:**If you haven’t finished 1.14 and 1.15, finish those. Then complete 1.17, 1.18, 1.19.**Note:**I did not assign 1.16, but feel free to do it. (Due Wednesday, January 23)**Daily Homework 4:**Complete 1.20, 1.21, 1.22, 1.26, 1.29, 1.30, 1.32, 1.33.**Note:**This assignment looks long, but most of the problems after 1.21 are pretty quick. Also, you’ll need to download the new section of notes for 1.22 and on. (Due Friday, January 25)**Daily Homework 5:**Complete 1.35, 1.36, 1.37, 1.40, 1.41, 1.42, 1.43, 1.44, 1.45. (Due Monday, January 28)**Daily Homework 6:**Complete 1.46, 1.47, 1.48, 1.49, 1.50, 1.52, 1.53. (Due Wednesday, January 30)**Daily Homework 7:**Complete 1.56, 1.57, 1.58, 1.59. (Due Friday, February 1)**Daily Homework 8:**Complete 1.61, 1.62, 1.65, 1.67, 1.68, 1.69, 1.70, 1.71, 1.72, 1.73, 1.74. (Due Monday, February 4)**Daily Homework 9:**Complete 1.76, 1.79, 1.80, 1.82, 1.83, 1.85, 1.86, 1.87.**Note:**Questions 1.86 and 1.87 are optional. (Due Wednesday, February 6)**Daily Homework 10:**Complete 1.89, 1.91. 1.92, 1.95. 1.96. (Due Friday, February 8)**Daily Homework 11:**Complete 1.101, 1.103, 2.4, 2.5. (Due Monday, February 11)**Daily Homework 12:**Complete 2.8, 2.9, 2.10, 2.11, 2.14. (Due Wednesday, February 13)**Daily Homework 13:**Complete 2.20, 2.21, 2.22, 2.25, 2.26, 2.27. (Due Friday, February 15)**Daily Homework 14:**If necessary, finish up 2.26 and 2.27. In addition, complete 2.31, 2.32, 2.33, 2.34. (Due Monday, February 18)**Daily Homework 15:**If necessary, finish up 2.32, 2.33, and 2.34. Also, complete 2.36 and 2.37. (Due Friday, February 22)**Daily Homework 16:**Complete 2.50, 2.51, 2.52, 2.53, 2.54, 2.55. (Due Monday, March 4)**Daily Homework 17:**Complete 2.57, 2.58, 2.59, 2.60. (Due Wednesday, March 6)**Daily Homework 18:**Complete 2.63, 2.69, 2.71, 2.72, 2.73, 2.74. (Due Friday, March 8)**Daily Homework 19:**Complete 2.75, 2.76, 2.77, 2.78, 2.79, 2.80. (Due Monday, March 11)**Daily Homework 20:**If you haven’t already, complete 2.79, 2.80. In addition, complete 2.81, 2.83, 2.85, 2.86, 2.87. (Due Friday, March 15)**Daily Homework 21:**Complete 2.100, 2.101, 2.102, 3.3, 3.6. (Due Wednesday, March 27)**Daily Homework 22:**Complete 3.7, 3.8, 3.9, 3.10. (Due Friday, March 29)**Daily Homework 23:**If you haven’t already, complete 3.9 and 3.10. Also, complete 4.2, 4.4, 4.5. (Due Monday, April 1)**Daily Homework 24:**Complete 4.6, 4.8, 4.9. (Due Wednesday, April 3)**Daily Homework 25:**If you haven’t already, finish up 4.8, 4.9. Also, complete 4.10. (Due Friday, April 5)**Daily Homework 26:**Complete 4.11, 4.12, 4.13, 4.14. (Due Monday, April 8)**Daily Homework 27:**Complete 4.15, 4.16, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10. (Due Wednesday, April 10)**Daily Homework 28:**Complete 5.11, 5.12, 5.13, 5.20, 5.21, 5.23, 5.26, 5.27, 5.28. (Due Friday, April 12)**Daily Homework 29:**Complete 5.31, 5.32, 5.33, 5.34, 5.36, 5.37, 5.38, 5.39, 5.40. (Due Monday, April 15)**Daily Homework 30:**Complete 5.41, 5.42, 5.46, 5.47. (Due Wednesday, April 17)**Daily Homework 31:**Complete 5.55, 5.60, 5.62, 5.64, 5.65. (Due Friday, April 26)**Daily Homework 32:**Complete 5.74, 5.76, 5.77, 5.80, 5.85, 5.86, 5.87, 5.88. (Due Monday, April 29)**Daily Homework 33:**Complete 5.91, 5.95, 5.96, 5.97, 5.99, 5.102, 5.103. (Due Wednesday, May 1)**Daily Homework 34:**If necessary, complete 5.102 and 5.103. In addition, complete 5.104, 5.105, 5.106, 5.109. (Due Friday, May 3)

## Weekly Homework

In addition to the Daily Homework, you will also be required to submit two formally written proofs each week. You may choose any two problems marked with * that were *turned in* during a given week to submit the following week. For example, you may choose any two problems marked with a * that were turned in during week 2 for the second Weekly Homework assignment. These problems are due in week 3.

Beginning with the second Weekly Homework, you will be required to type your submission. You should type your Weekly Homework assignments using $\LaTeX$ (see below for more on this), MS Word, OpenOffice/LibreOffice, or Google Docs. However, **everyone is required to electronically submit a PDF file** via Canvas. I will walk you through how to do this. If you need help with converting your document to a PDF, please let me know.

**Weekly Homework 1:**This assignment is different than the rest. I want you to complete the following tasks. (Due Friday, January 18 by 5PM)- Stop by my office (Room 119 in Adel Mathematics) and say hello. If I’m not there, slide a note under the door telling me you stopped by.
- Send me an email at dana.ernst@nau.edu and tell me 3 important things that are in the syllabus.
*Note:*As an example, listing all of the exams dates only counts as one item. Also, if you are the first person to point out a typo in the syllabus, I will give you a*bonus point*for each typo found. The bonus points will be added to your homework total. This is likely the only opportunity that will arise for you to get bonus points.

**Weekly Homework 2:**Choose any two *-problems from Daily Homework 1-2. You should type your proofs and submit a PDF via Canvas. (Due Friday, January 25 by 5PM)**Weekly Homework 3:**Choose any two *-problems from Daily Homework 3-4. You should type your proofs and submit a PDF via Canvas. (Due Thursday, January 31 by 10PM)**Weekly Homework 4:**Choose any two *-problems from Daily Homework 5-7. You should type your proofs and submit a PDF via Canvas. (Due Thursday, February 7 by 10PM)**Weekly Homework 5:**Choose any two *-problems from Daily Homework 8-13. You should type your proofs and submit a PDF via Canvas. (Due Thursday, February 21 by 10PM)**Weekly Homework 6:**Choose any two *-problems from Daily Homework 14-15. You should type your proofs and submit a PDF via Canvas. (Due Thursday, February 28 by 10PM)**Weekly Homework 7:**Choose any two *-problems from Daily Homework 16-18. You should type your proofs and submit a PDF via Canvas. (Due $\pi$ Day! by 10PM)**Weekly Homework 8:**Choose any two *-problems from Daily Homework 19-20. You should type your proofs and submit a PDF via Canvas. (Due Thursday, March 28 by 10PM)**Weekly Homework 9:**Choose any two *-problems from Daily Homework 21-22. You should type your proofs and submit a PDF via Canvas. (Due Thursday, April 4 by 10PM)**Weekly Homework 10:**Choose any two *-problems from Daily Homework 23-25. You should type your proofs and submit a PDF in class. (Due Friday, April 12)

## Using LaTeX for Weekly Homework

If you decide to type your Weekly Homework using $\LaTeX$, I suggest that you use my LaTeX Homework Template. The easiest way to get started with $\LaTeX$ is to use an online editor. I recommend using writeLaTeX, but ShareLaTeX and SpanDeX are other options. The good folks over at writeLaTeX have preloaded my template, so to get started, all you need to do is click the link below.

For a rough overview of some of the basics of $\LaTeX$, you might find my Quick LaTeX Guide useful. Also, I’ve created a couple videos that explain how to get started with my LaTeX Homework Template using writeLaTeX. The first video is here and the second one is here. I ran my mouth too much, but this is what you get when you wing it. **Note:** The first video walks you through copying the contents of the template from GitHub, but this is unnecessary now that you can just click the button above. If you need any help with LaTeX, please ask.