# Homework

When doing your homework, I encourage you to use the Elements of Style of Proofs as a reference.

## 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 Write-ups.

Note: On each Daily Homework, please write (i) your name, (ii) name of course, and (iii) Daily Homework number.

• Daily Homework 1: Read the syllabus and Chapter 0 of the course notes. In addition, complete 1.5*, 1.6, 1.7*, 1.8* (Due Wednesday, February 2 Friday, February 4).
• Daily Homework 2: Read Elements of Style of Proof. Also, complete 1.10, 1.11*, 1.12*, 1.13*, 1.14, 1.15* (Due Monday, February 7).
• Daily Homework 3: Complete 1.17, 1.21, 1.23, 1.24, 1.25, 1.28, 1.29* (Due Wednesday, February 9). Note: We decided to turn in this assignment on Friday.
• Daily Homework 4: Complete 1.32, 1.33, 1.34, 1.35* (Due Friday, February 11).
• Daily Homework 5: Complete 1.36, 1.37, 1.38*, 1.40*, 1.41* (Due Monday, February 14).
• Daily Homework 6: Complete 1.43, 1.44, 1.45*, 1.46, 1.47. 1.49. 1.50 (Due Friday, February 18).
• Daily Homework 7: Complete 1.51, 1.52*, 1.53*, 1.54 (Due Monday, February 21).
• Daily Homework 8: Complete 1.56, 1.57, 1.58, 1.60, 1.62, 1.63, 1.64, 1.65, 1.66 (Due Wednesday, February 23).
• Daily Homework 9: Complete 1.68, 1.71, 1.72, 1.74, 1.75, 1.76, 1.78, 1.79, 1.80 (Due Friday, February 25 Monday, February 28).
• Daily Homework 10: Complete 1.82, 1.85, 1.88, 1.89, 1.90, 1.92 (Due Wednesday, March 2).
• Daily Homework 11: Complete 2.4, 2.5, 2.8, 2.9, 2.10, 2.11*, 2.14, 2.20, 2.21 (Due Wednesday, March 9).
• Daily Homework 12: Complete 2.22*, 2.25*, 2.26*, 2.27* (Due Friday, March 11).
• Daily Homework 13: Complete 2.31, 2.32, 2.33, 2.36*, 2.37* (Due Monday, March 14).
• Daily Homework 14: Complete 2.38*, 2.39, 2.40, 2.41, 2.42, 2.43. In addition, re-prove the two problems from the take-home portion of Exam 1 that you missed the most points on (Due Wednesday, March 16).
• Daily Homework 15: Complete 2.48-2.53, 2.55, 2.56, 2.57*, 2.58* (Due Wednesday, March 30).
• Daily Homework 16: Complete 2.61, 2.67, 2.69, 2.70*, 2.71, 2.72* (Due Friday, April 1).
• Daily Homework 17: Complete 2.74, 2.75*, 2.76*, 2.77* (Due Monday, April 4 Wednesday, April 6).
• Daily Homework 18: Complete 2.78, 2.80, 2.81, 2.83, 2.84* (Due Friday, April 8).
• Daily Homework 19: Complete 2.85, 2.86, 2.87, 2.88, 2.90, 2.91* (Due Monday, April 11).
• Daily Homework 20: Complete 2.92, 2.93*, 2.94, 2.95, 2.96, 2.98 (Due Wednesday, April 13).
• Daily Homework 21: Complete 3.22, 3.25, 3.26, 3.27 (these are the exercises from the notes for Section 3.1 that we didn't discuss in class) (Due Friday, April 22).
• Daily Homework 22: Complete 3.30-3.33, 3.35-3.39 (Due Monday, April 25).
• Daily Homework 23: Complete 3.40*, 3.41*, 3.45, 3.46 (Due Wednesday, April 27).
• Daily Homework 24: Complete 3.51, 3.52, 3.53, 3.54*, 3.55, 3.58, 3.59 (Due Friday, April 29).
• Daily Homework 25: Complete 3.60*, 3.61, 3.62*, 3.63*, 3.64*, 3.66. Note: I'm using the updated numbering (Due Monday, May 2).
• Daily Homework 26: Complete 3.72, 3.74, 3.75, 3.76, 3.77, 3.78, 3.81 (Due Wednesday, May 4).
• Daily Homework 27: Complete 3.83, 3.84, 3.85, 3.86*, 3.89, 3.90 (Due Friday, May 6).
• Daily Homework 28: Complete 3.93, 3.94*, 3.95*, 3.96, 3.97, 3.100, 3.101 (Due Monday, May 9).
• Daily Homework 29: Complete 3.102*, 3.103*, 3.104*, 3.106*, 3.107* (Due Wednesday, May 11).
• Daily Homework 30: Complete 4.3* and then do at least four of 4.5*, 4.6*, 4.7*, 4.8*, 4.9* (Due Friday, May 13).

## Weekly Write-ups

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 Tuesday by 5PM (occasionally, the due date may be a day other than Tuesday). For example, you may choose any two problems marked with a * that were turned in during week 2 for the second Weekly Write-up. These problems are due by 5PM on Tuesday in week 3. Beginning with the second Weekly Write-up, you will be required to type your submission.

Note: On each Weekly Write-up, please write (i) your name, (ii) name of course, and (iii) Weekly Write-up number. You should type your Weekly Write-ups using $\LaTeX$, MS Word, OpenOffice/LibreOffice, or Google Docs. If you plan to email me your file, then you should send me a PDF (if you need help with this, please let me know). Furthermore, you should name your file using the following convention:

WeeklyXLast-Name.pdf

where you replace "X" with the assignment number and replace "Last-Name" with your actual last name. Please don't put any spaces in your file name.

• Weekly Write-up 1: Choose any two *-problems from Daily Homework 1 (Due Tuesday, February 8) . Note: This assignment does not need to be typed.
• Weekly Write-up 2: Choose any two *-problems from Daily Homework 2, 3, 4 (Due Tuesday, February 15).
• Weekly Write-up 3: Choose any two *-problems from Daily Homework 5, 6 (Due Tuesday, February 22).
• There is no Weekly Write-up due the weeks of February 28 and March 7 because of Exam 1.
• Weekly Write-up 4: Choose any two *-problems from Daily Homework 11, 12 (Due Friday, March 18).
• Weekly Write-up 5: Choose any two *-problems from Daily Homework 13, 14 (Due Tuesday, March 29 Thursday, March 31).
• Weekly Write-up 6: Choose any two *-problems from Daily Homework 15, 16 (Due Thursday, April 7).
• Weekly Write-up 7: Choose any two *-problems from Daily Homework 17, 18 (Due Thursday, April 14).
• There is no Weekly Write-up due the weeks of April 18 and April 25 because of Exam 2.
• Weekly Write-up 8: Choose any two *-problems from Daily Homework 19, 20, 23, 24 (Due Thursday, May 5).
• Weekly Write-up 9: Choose any two *-problems from Daily Homework 25, 26, 27 (Due Thursday, May 12).

## LaTeX Template for Homework

You can find a $\LaTeX$ template for typing up your homework in my public ScribTeX folder. In this directory you will also find a help file for using $\LaTeX$ with ScribTeX. You can download the entire directory and then if you are using ScribTeX, you can upload the files you are interested in using. Alternatively, you can copy the content of the file and paste it into a new tex file.

For a rough overview of some of the basics of $\LaTeX$, you might find the Quick LaTeX Guide useful.