Writing Intensive Homework I

Last update:

The first writing intensive assignment will be submitted twice, first as a rough draft and second as the final draft. The rough draft is due September 24th, the final draft due one week after the rough draft is returned. The rough drafts were returned on October 1st, so the final draft is due October 8th. Attach the rough draft to your final draft when you're handing in the assignment.

The assignment has two parts:

a) Prove Theorem 4.13 using Theorem 4.2.
b) Let A denote the set of all positive integers which can be written in the form 3m+5n using non-negative integers m and n. Describe A explicitly, and use induction to prove that your description is correct.

Remarks: In the second part of the homework the integers n and m are non-negative integers, i.e. they can be 0. The remark I made at class was not correct, n,m don't have to be positive integers. They can be 0. But they can't be both 0, otherwise 3n+5m=0, which is not allowed. Again: n,m can be 0,1,2,... but the sum 3n+5m should be a positive integer.

Please check the checklist page for some comments on how to type and organize your paper.

Guess what! There are other people in other universities struggling with "writing in math"!. Here is a page I found which gives some explanation on why anybody would care to write any mathematics and how you're supposed to do it. I hope you find it helpful.

A Guide to Writing in Mathematics Classes by Dr. Annalisa Crannell.

Good luck!