Cheat Sheets

I often encourage my students to write their own cheat sheets. For one, it's a great way to review all the information. Also, writing something helps with memorization (that's why it's a good idea to take notes in class, even if you are handed a summary, or if the teacher is just reviewing the book's material).
A good cheat sheet is, first of all - meant for studying, not cheating. Sometimes you will have to memorize it, sometimes you will just need it to do your homework, sometimes you will actually be allowed to bring it to an exam. If you are not - don't! . I am partial of sheets that can fit on just a few pages, written in an organized but condensed way. Basically it should read like a map - where it's easy to find the formula you're looking for quickly (10 seconds max), even though it contains tons of information.
That said, sometimes you don't have the time to write everything down, or you know you'll be getting some of the information on a test, or sometimes you just need to use a formula you learned the previous year. For those cases, prepared formula sheets can go a long way. There are many good ones available out there, but I would like to highlight just a couple (i'll post most recommendations with time)
Probably the most useful one will be a trig sheet - this trig sheet (developed by a Lamar University instructor) is a favorite. In the first two pages you get all the ratios, the half and double formulas and a few identities. Then you get the unit circle (which you should be able to develop by yourself based on my system) in the third page. The forth page elaborates on the first two, but can really be derived easily from it.
Another good sheet is this calculus sheet from a Radford University professor. It's basically a two page sheet - one for integration, one for derivation. Each includes all the basic formulas, plus the trig ones and a few extra's (natural logs, hyperbolics, etc). But what I really like about it is that it also includes a summary of all the major methods - chain, product, and quotient rules for derivation, and for integration - substitution rules and integration by parts. It also leaves a lot of empty space on the page which I would use to add techniques such as how to solve related rates using derivatives, bodies of revolution for integration etc. . As you can see, no one sheet is perfect, and any one will invariably have more and less than what you need. But that can be a wonderful opportunity for you to personalize and add in the edges the missing pieces, the tricks that have worked for you, the tips you've seen. Like I mentioned, you'll probably improve your memory of all those tricks just by writing them out and by doing so - you'll cheat yourself into learning better.
Successful learning to all,
Amir