Flash Cards Page

One of the most effective ways I remember studying for vocabulary quizzes in high school was through flash cards. During my time in college, I wondered why a similar method was not used to help study for other things, particularly in math and math-like classes where new definitions and concepts are introduced everyday. As a result of this, I wrote an initial flash cards script to help me with my advanced calculus class. Because of my success in this class, I continued developing flash cards to help study many other concepts. Here,  I have decided to share some of those concepts with you.

The general concept behind how I develop the flash cards is simple. Each flash card consists of a question on one side and the answer to that question on the other. For definitions, the question is generally of the form “What is the definition of _____” and the answer will generally go “The definition of _____ is _____”. This may vary a bit, but I try to keep it in this context to allow for searching easier. The other things I generally put onto flash cards are Lemmas/Theorems/Corollaries. These are a bit more difficult to put on flash cards though. The flash cards are still in a question and answer format, but I tried to make the question center around what the question being asked that led to the development of the Lemma/Theorem/Corollary was. Sometimes I may be off-base with these questions, and I’ve had to go back and re-do these questions a number of times. However, I hope they can be helpful.

For algorithms, which are a large part of this site, I generally asked to include the pseudocode for the given algorithm. However since pseudocode is far from formal, this can lead to a bit of a debate among whether you feel that your answer is the same as mine.

The AMS Graduate Student Blog lists some other sites where you can get math generated flash cards.

Hello, World!

The ideas for this site have been bouncing around inside my head and on my computer for years, and this site is an acknowledgement that it was time to finally act on these ideas.

The site will feature a collection of scripts I have written to help illustrate different concepts. A large part of this will be a flash cards section which will provide an avenue to study or to refresh one’s memory on various subjects. I recognize, though, that all subjects are not easily understood through flash cards and so I also have an examples section where various algorithms are implemented on example problems (problem sets) to provide users with a more hands on experience.

The site will be updated regularly, generally with either new subject areas added to the flash cards database, new scripts added to the examples. I leave open the possibility, though, of entirely new sections being introduced as ideas continue to develop and the site continues to grow.

EDIT:
There are several areas that I would like to take the site, but with each area I have the problems of (a) showing the concept, (b) visualizing the concept, c) showing the intuition behind the concept. Sometimes, I will think of (what I call) more clever ways to teach or learn an idea I’ve already discussed. This may lead to more than one page on the same concept. I encourage you to try all such pages to see if you like any of them.

I hope you enjoy.