What is considered a good format for writing problem sets in mathematics? Are there any good examples of problem sets that are well-written and formatted that you can show me?
2 Answers
I like to write my proofs in LaTeX. I have gotten some nice templates offline for this and modified them to my preference. I have also created a commands file so I am not constantly writing out long commands (i.e. \mathbb{R} vs. \bb{R}). I can send you the .tex files for these if you are interested.
I also like to include any definitions or theorem I will be using (in boxes after the question and before the solution). That way, if I look back at the problems and I don't remember what some definition is or what theorem makes a certain fact true in the proof, I have it right there and I don't have to hunt for it.
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There are a few common styles. Personally, I like ink on printer paper, formatted either in two columns or one, depending on how wide the wide formulas get. I cross out "mistakes" instead of erasing.
Some people like using graph (grid) paper. Most people probably use pencils, but I find the ease of using a pen worthwhile.
The basic format for a problem is the following:
- The problem number
- A statement of the problem. You should summarize it, but only once you've had enough practice that you won't make any mistakes.
- (optional) A long dash or turnstile symbol (in this context, it would be a long dash with a pip on the bottom, like $\vdash$ turned $-\frac{\pi}{2}$ radians.
- The solution/proof
- If they ask for a numerical or formulaic answer, put it in a box.
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