Homework
When doing your homework, I encourage you to use the Elements of Style of Proofs 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.
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 1).
- Daily Homework 2: Read Elements of Style of Proof. Also, complete 1.10, 1.11*. (Due Friday, February 3)
- Daily Homework 3: Complete 1.12*, 1.13*, 1.14*, 1.15*. (Due Wednesday, February 8)
- Daily Homework 4: Complete 1.17, 1.21, 1.23, 1.24, 1.25. (Due Friday, February 10)
- Daily Homework 5: Complete 1.27, 1.28, 1.29*, 1.32, 1.33, 1.34. (Due Monday, February 13)
- Daily Homework 6: Complete 1.35, 1.36*, 1.37*. (Due Friday, February 17)
- Daily Homework 7: Complete 1.39, 1.40, 1.41*, 1.42, 1.43. (Due Monday, February 20)
- Daily Homework 8: Complete 1.45, 1.46, 1.47, 1.48*, 1.49*, 1.50. (Due Wednesday, February 22)
- Daily Homework 9: Complete 1.52, 1.53, 1.54, 1.56. (Due Friday, February 24)
- Daily Homework 10: Complete 1.58, 1.59, 1.60, 1.61, 1.62, 1.63, 1.64, 1.65. (Due Wednesday, February 29)
- Daily Homework 11: Complete 1.67, 1.70, 1.71, 1.73, 1.74, 1.75, 1.77, 1.78, 1.79. (Due Wednesday, March 7)
- Daily Homework 12: Complete 1.81, 1.84, 1.87, 1.88. Note: I didn't assign Theorem 1.83, but you can use it freely. (Due Friday, March 9)
- Daily Homework 13: Complete 1.89, 1.91. (Due Monday, March 12)
- Daily Homework 14: Complete 2.4, 2.5, 2.8, 2.9, 2.10. (Due Wednesday, March 14)
- Daily Homework 15: Complete 2.11*, 2.14, 2.20, 2.21. (Due Friday, March 16)
- Daily Homework 16: Complete 2.22*, 2.25*. (Due Monday, March 26)
- Daily Homework 17: Complete 2.26*, 2.27*, 2.31, 2.32, 2.33, 2.34. (Due Wednesday, March 28)
- Daily Homework 18: Complete 2.36*, 2.37*, 2.38*, 2.39. (Due Friday, March 30)
- Daily Homework 19: Complete 2.40, 2.41, 2.42, 2.43, 2.48, 2.49. (Due Wednesday, April 4)
- Daily Homework 20: Complete 2.50, 2.51, 2.52, 2.53, 2.55, 2.56, 2.57*, 2.58*. (Due Friday, April 6)
- Daily Homework 21: Complete 2.61, 2.67, 2.69, 2.70*, 2.71, 2.72*. (Due Monday, April 9)
- Daily Homework 22: Complete 2.73, 2.74, 2.75*, 2.76*, 2.77*, 2.78. (Due Wednesday, April 11)
- Daily Homework 23: Complete 2.80, 2.81, 2.83, 2.84*, 2.85. (Due Friday, April 13)
- Daily Homework 24: Complete 2.86, 2.87, 2.88, 2.90, 2.91, 2.92. (Due Monday, April 16)
- Daily Homework 25: Complete 2.93*, 2.94, 2.96, 2.98, 2.99. Note: In the interest of time, I intentionally left off 2.95. Also, 2.97 is on Exam 2. You should consider using 2.97, together with 2.92, to prove 2.98. (Due Wednesday, April 18)
- Daily Homework 26: Complete 3.3, 3.5*, 3.6*, 3.8*. (Due Monday, April 23)
- Daily Homework 27: Complete 4.5, 4.6, 4.7, 4.8, 4.9, 4.10, 4.11, 4.13. (Due Wednesday, April 25)
- Daily Homework 28: Complete 4.20, 4.22, 4.25, 4.26, 4.27. (Due Friday, April 27)
- Daily Homework 29: Complete 4.30, 4.31, 4.32, 4.33. (Due Wednesday, May 2)
- Daily Homework 30: Complete 4.35, 4.36, 4.37, 4.38, 4.39, 4.40*. (Due Friday, May 4)
- Daily Homework 31: Complete 4.41*, 4.45, 4.46, 4.51, 4.53, 4.54*, 4.55. (Due Monday, May 7)
- Daily Homework 32: Complete 4.59, 4.60, 4.61*, 4.62, 4.63*, 4.64*, 4.65*, 4.67. (Due Wednesday, May 9)
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 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 Homework assignment. These problems are due by 5PM on Tuesday in week 3.
Beginning with the second Weekly Homework assignment, you will be required to type your submission. You should type your Weekly Homework assignments using $\LaTeX$ (see below for on this), MS Word, OpenOffice/LibreOffice, or Google Docs. However, everyone is required to electronically submit a PDF file using the following naming convention:
WeeklyXLast-Name.pdf
where you replace "X" with the assignment number and replace "Last-Name" with your actual last name. Please do not put any spaces in your file name. If you need help with converting your document to a PDF, please let me know.
- Weekly Homework 1: Choose any two *-problems from Daily Homework 1-2. Note: This assignment does not need to be typed. (Due Tuesday, February 7)
- Weekly Homework 2: Choose any two *-problems from Daily Homework 3-4. (Due Tuesday, February 14)
- Weekly Homework 3: Choose any two *-problems from Daily Homework 5-6. (Due Tuesday, February 21)
- Weekly Homework 4: Choose any two *-problems from Daily Homework 7-9. (Due Tuesday, February 28)
- Weekly Homework 5: Choose any two *-problems from Daily Homework 15-17. (Due Thursday, April 5)
- Weekly Homework 6: Choose any two *-problems from Daily Homework 18-25. (Due Thursday, April 26)
- Weekly Homework 7: Choose any two *-problems from Daily Homework 26-28. (Due Thursday, May 3)
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.
Getting Help
There are many resources available to get help. First, I recommend that you work on homework in groups as much as possible, and to come see me whenever necessary. Also, you are strongly encouraged to ask questions in the course forum on our Moodle page page, as I will post comments there for all to benefit from. To effectively post to the course forum, you will need to learn the basics of LaTeX, the standard language for typesetting in the mathematics community. See the Quick LaTeX guide for help with $\LaTeX$. If you need additional help with $\LaTeX$, post a question in the course forum on our Moodle page.
You can also visit the Math Activity Center, which is located in Hyde 351. This student-run organization provides peer tutoring services for most 1000 and 2000 level math courses and some 3000 level courses. Tutors are typically math majors interested in teaching math and practicing their instructional skills. You can drop in anytime during open hours.
Lastly, you can always .