Writing Assignment 02

Directions.

1. Start by looking over the Learning $\LaTeX{}$ document.
2. Get the template for this assignment. Here’s how to do it:
   • Go to www.overleaf.com, and make sure you are logged in.
   • In a new window, go here: www.overleaf.com/read/kqmsfqqnbkdx#8a4ed3
   • Click on the menu icon in the upper-left and select “Copy Project”.
   • Create a name for the assignment and click “Copy”.
   • When this completes you will be back in your own workspace (instead of mine).
3. Use $\LaTeX{}$ to type up your proofs of the Results to Prove listed below. Make sure to use complete sentences and appropriate punctuation. Also, make sure to edit for typos.
4. Click on the “Download PDF” button (to the right of the “Recompile” button). Save the file somewhere you can easily find it. Submit the pdf in Canvas.
5. Let me know if you have any questions!

Remember, if you have trouble finding the command for a math symbol you want to use, try googling it, email me, or try looking at the $\LaTeX{}$ Mathematical Symbols list and Short Math Guide for $\LaTeX{}$.

Also, you may work together with one partner on this and turn in the same pdf for both of you. If you do this, please make sure that you truly collaborate on revising the math and typing it up. To collaborate in Overleaf, one person should start the project, and then use the share option (on the top menu bar), to share it with their partner.

Results to Prove.

1. Let $n\in \mathbb{Z}$. If $n$ is odd, then $8$ divides $n^2-1$. (See Theorem 2.15)