Higher Math Note Sheets Online?
March 4, 2010 7:36 PM   Subscribe

HigherMathNotesFilter: Where to find one- to three-page review/note sheets for math topics (vector calculus, linear algebra, differential equations, number theory...)?

I remember making review sheets before tests with all the big ideas from a course, but I no longer have those and want to find something similar to keep the ideas fresh in my cube-dwelling brain. I want a concise list of all the key equations/theorems for each college-level course topic. I'm not looking for tutorials, and Google has failed to turn up concise note sheets like I'm looking for. Thanks!
posted by sninctown to Education (16 answers total) 13 users marked this as a favorite
I doubt you can really condense a whole course into 2-3 pages, unless the point is more to help you review than to create a useful reference.

Here are some longer things that might be useful:
The Dog School of Mathematics presents Introduction to Group Theory
Paul's Online Math Notes (very extensive, more of a book than notes)

There's always MathWorld, but you probably know about that already.
posted by k. at 8:12 PM on March 4, 2010

Oops, correction for the first link.
posted by k. at 8:13 PM on March 4, 2010

Right, the point is for me to review, not to teach anything. Ideally, I want a few pages of notation with little/no explanation, so I can remember "hey, that's ---, which is used for ---, derived from ---", or realize "uhoh, time to look at MathWorld/Wikipedia/Textbooks/etc."
posted by sninctown at 8:21 PM on March 4, 2010

posted by asras at 9:15 PM on March 4, 2010

Close...I'm looking for something like SparkCharts for post-Calculus topics.
posted by sninctown at 9:33 PM on March 4, 2010

Alternatively, tell me why what I'm asking for doesn't exist.
posted by sninctown at 5:16 AM on March 5, 2010

Wevers is not bad for the science engineering side of math.


There are other formats beside .pdf at his website.
posted by bukvich at 5:50 AM on March 5, 2010 [1 favorite]

You might try browsing through MIT OpenCourseWare.
posted by lukemeister at 6:59 AM on March 5, 2010

All the Mathematics You Missed But Need to Know for Graduate School is not quite as notes style as you seem to be looking for, but I found the 5-10 page overviews of every subject I could want to be very helpful.
posted by ansate at 8:27 AM on March 5, 2010 [1 favorite]

This is a really excellent question, thanks for asking it.

There are a couple of different publishers that put together books called "Engineering Math" or the like. Just a quick summary of each major topic, with half a dozen solved problems. This might be useful even if you're not in engineering.
posted by miyabo at 8:44 AM on March 5, 2010

It's not structured in quite the way you describe, but the Theoretical Computer Science Cheat Sheet may be helpful.
posted by James Scott-Brown at 8:44 AM on March 5, 2010 [1 favorite]

Do a google search for cheatsheet math site:*.edu
site:*.edu constrains the search to education sites, and I've found that *.edu sites often have fantastic, free tutorials and cheatsheets. Tweak the search terms to be more specific and get better results.

Also, University bookstores sell these.
posted by theora55 at 9:32 AM on March 5, 2010

I've found that barcharts has slightly more advanced (and more detailed) stuff than sparkcharts. The most advanced post calc topics that they have are linear algebra and statistics, though. (I think the "algebra" ones are high school algebra.) It's odd that there's no number theory, or differential equations.

The "Calculus Equations & Answers" description mentions differential equations, though. Elsewhere on the web, descriptions of the "Calculus 2" sheet indicate that differential equations is included.

The "Logic" chart would hopefully contain some set theory.

REA makes some of these charts too. They've got LaPlace Transforms, Statistics I, and "Vectors and Matrices."

There are some random pdfs floating around online. This one [pdf] is supposed to be number theory; it seems like it has some analysis thrown in.

This blog entry lists some of the supposed good ones. Notable is the [pdf] abstract algebra sheet.

The "Ask Dr. Math Archive, College Level" isn't exactly what you asked for, but it might be helpful.
posted by sentient at 9:52 PM on March 5, 2010 [2 favorites]

Sounds like you might've looked, but Wikipedia's lists of identities are actually fairly concise. In my office we have many of them printed out and taped to the wall. Take a look at Category:Mathematical identities.

If you have access to textbooks, you should copy/scan the lists of relations inside the covers and in the appendices.

If you can, I'd make your own again. The standard format and variables change depending on the field you're using them in, and writing or LaTeXing them up yourself is a pretty good way to keep them fresh in your brain.
posted by hat at 12:00 PM on March 6, 2010

To be honest, I've found that most of the usefulness of such things comes from the making, not the reviewing. So if you can, I'd suggest making your own again, and then you'll be able to glance at them just to spark memories of the studying you did in a way that someone else's work wouldn't.
posted by you're a kitty! at 3:18 PM on March 6, 2010 [1 favorite]

Hooray, thanks! Plenty to look at, including a few that are exactly what I was looking for.
posted by sninctown at 7:48 PM on March 8, 2010

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