#### Introduction to Mathematical Reasoning

When doing your homework, I encourage you to use the Elements of Style for 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. During class, **you are only allowed to annotate your homework using the marker pens that I provide**.

**Daily Homework 1:**Read the syllabus and write down 5 important items.*Note:*All of the test dates only count as one item. Turn in on your own paper at the beginning of class. (Due Friday, January 16)**Daily Homework 2:**Stop by my office (AMB 176) and say hello. If I’m not there, just slide note under my door saying you stopped by. (Due Friday, January 16 by 5PM)**Daily Homework 3:**Complete Problems 1-6 from the problem sequence. (Due Friday, January 16)**Daily Homework 4:**Complete Problems 7 and 8 from the problem sequence. (Due Wednesday, January 21)**Daily Homework 5:**Complete Problems 9 and 10 from the problem sequence. In addition, create a free account on Sage Math Cloud and email me the email address you sign up with. (Due Friday, January 23)**Daily Homework 6:**Complete Problems 11-13 from the problem sequence. (Due Monday, January 26)**Daily Homework 7:**Complete Problems 14 and 15 from the problem sequence. (Due Wednesday, January 28)**Daily Homework 8:**Complete Problem 16 from the problem sequence. (Due Friday, January 30)**Daily Homework 9:**Complete Problems 17-18 from the problem sequence. (Due Monday, February 2)**Daily Homework 10:**Complete Problems 19-20 from the problem sequence. (Due Wednesday, February 3)**Daily Homework 11:**Complete Problem 21 from the problem sequence. Also, if necessary, continue working on Problems 19-20. (Due Monday, February 9)**Daily Homework 12:**Complete Problems 22-23 from the problem sequence. (Due Wednesday, February 11)**Daily Homework 13:**Complete Problems 24-25 from the problem sequence. (Due Monday, February 16)**Daily Homework 14:**Complete Problems 26-28 from the problem sequence. (Due Friday, February 20)**Daily Homework 15:**Complete Problems 29-30 from the problem sequence. (Due Monday, February 23)**Daily Homework 16:**Complete any two problems from Exam 1 that you didn’t complete for Part I or Part II for the exam. (Due Friday, February 27)**Daily Homework 17:**Complete Problems 31-33 from the problem sequence. (Due Monday, March 2)**Daily Homework 18:**Complete Problems 34-35 from the problem sequence. (Due Wednesday, March 4)**Daily Homework 19:**Complete Problems 36-38 from the problem sequence. (Due Monday, March 9)**Daily Homework 20:**Complete Problems 39-40 from the problem sequence. (Due Wednesday, March 11)**Daily Homework 21:**Complete Problems 41-42 from the problem sequence. (Due Friday, March 13)**Daily Homework 22:**After watching the documentary “N is a Number” complete the following writing assignment. (Due Monday, March 23)- Write a well-written paragraph that summarizes at least 5 facts that you learned about Paul Erdős from the documentary.
- Use your prowess with the Internet to learn 5 additional facts about Paul Erdős that were not in the documentary and then write a well-written paragraph. Please don’t use just Wikipedia.

**Daily Homework 23:**Complete Problems 43-44 from the problem sequence. (Due Wednesday, March 25)**Daily Homework 24:**Complete Problems 45-46 from the problem sequence. (Due Monday, March 30)**Daily Homework 25:**Complete Problems 47-48 from the problem sequence. (Due Wednesday, April 1)**Daily Homework 26:**Complete Problems 49-50 from the problem sequence. (Due Friday, April 3)**Daily Homework 27:**Complete Problem 51 from the problem sequence. (Due Monday, April 6)**Daily Homework 28:**Complete Problems 52-53 from the problem sequence. (Due Wednesday, April 8)**Daily Homework 29:**Complete Problem 54 from the problem sequence. (Due Friday, April 10)**Daily Homework 30:**Complete Problems 55-56 from the problem sequence. (Due Friday, April 17)**Daily Homework 31:**Complete Problems 57-59 from the problem sequence. (Due Monday, April 20)**Daily Homework 32:**Complete Problem 60 from the problem sequence. In addition, watch this video and think about how it relates to Problem 57. (Due Wednesday, April 22)**Daily Homework 33:**Complete Problems 61-62 from the problem sequence. (Due Friday, April 24)**Daily Homework 34:**Complete Problems 63-64 from the problem sequence. (Due Monday, April 27)**Daily Homework 35:**Complete Problems 65-66 from the problem sequence. (Due Wednesday, April 29)**Daily Homework 36:**Last one! Complete Problems 67-68 from the problem sequence. (Due Friday, May 1)

### Weekly Homework

In addition to the Daily Homework, we will also have Weekly Homework assignments. For most of these assignments, you will be required to submit 2-3 formally written solutions/proofs. You are required to type your submission using $\LaTeX$ (see below for more on this).

**Weekly Homework 1:**Write up careful solutions to any two of Problems 3, 4(a), 4(b), 5, 7. This assignment does not need to be typed. (Due Friday, January 23 by 5PM)**Weekly Homework 2:**Write up careful solutions to any two of Problems 7-10.*Note:*If you chose to write up Problem 7 for Weekly Homework 1, then that problem is not eligible for Weekly Homework 1. This assignment should be typed up using $\LaTeX$ using the template provided in in Sage Math Cloud. (Due Friday, January 30 by 5PM)**Weekly Homework 3:**Write up careful solutions to any two of Problems 11-16. This assignment should be typed up using $\LaTeX$ using the template provided in in Sage Math Cloud. (Due Thursday, February 5 by 5PM)**Weekly Homework 4:**Write up careful solutions to any two of Problems 17-20. This assignment should be typed up using $\LaTeX$ using the template provided in in Sage Math Cloud. (Due Thursday, February 12 by 5PM)**Weekly Homework 5:**Write up careful solutions to any two of Problems 21-23. This assignment should be typed up using $\LaTeX$ using the template provided in in Sage Math Cloud. (Due Thursday, February 19 by 5PM)**Weekly Homework 6:**Write up careful solutions to any two of Problems 24-30. This assignment should be typed up using $\LaTeX$ using the template provided in in Sage Math Cloud. (Due Thursday, March 5 by 5PM)**Weekly Homework 7:**Write up careful solutions to any two of Problems 31-35. This assignment should be typed up using $\LaTeX$ using the template provided in in Sage Math Cloud. (Due Thursday, March 12 by 5PM)**Weekly Homework 8:**Write up careful solutions to any two of Problems 36-40. This assignment should be typed up using $\LaTeX$ using the template provided in in Sage Math Cloud. (Due Thursday, March 26 by 5PM)**Weekly Homework 9:**Write up careful solutions to any two of Problems 41-44. This assignment should be typed up using $\LaTeX$ using the template provided in in Sage Math Cloud. (Due Thursday, April 2 by 5PM)**Weekly Homework 10:**Write up careful solutions to any two of Problems 45-50. This assignment should be typed up using $\LaTeX$ using the template provided in in Sage Math Cloud. (Due Thursday, April 9 by 5PM)**Weekly Homework 11:**Write up careful solutions to any two of Problems 51-56. This assignment should be typed up using $\LaTeX$ using the template provided in in Sage Math Cloud. (Due Thursday, April 23 by 5PM)

You are required to use $\LaTeX$ to type up your Weekly Homework assignments. To do this, you will use my LaTeX Homework Template provided via the Sage Math Cloud. Two resources that you will find useful for getting started with $\LaTeX$ are my Quick LaTeX Guide and Detexify. I will also spend some time in class helping you get started.

### Coding Homework

There will be 3-4 short programming assignments given this semester that utilize the Sage Math Cloud together with Python, Sage, and the iPython Notebook interface.

**Coding Homework 1:**Complete the corresponding assignment in Sage Math Cloud. (Due Wednesday, February 11 by 5PM)**Coding Homework 2:**Complete the corresponding assignment in Sage Math Cloud. (Due Friday, March 13 by 5PM)**Coding Homework 3:**Complete the corresponding assignment in Sage Math Cloud. (Due Friday, April 10 by 5PM)