In one of my classes, it was necessary to review Laplace transformations. I realized that, after many months of not using it, I had become extremely rusty in integration by parts. Once I saw the basic idea, it slowly came back to me.
Therefore, and I know the core audience isn't exactly appropriate, I would like to do a series of math related instructables AND I would like to have one or two collaborators.
There's a few reasons I'm doing this....
1. I feel the internets lack a resource with basic instructions of advanced mathematics (there's a few good resources, but it's mighty hard to find a "how do I do this" sort of thing).
2. Teaching is a great way to refresh the memory
3. The potential of comment feedback could be a good indication on what else should be covered.
4. Perhaps earlier basic introduction is useful to someone? Or not....
5. The focus, in addition to how, is why such things are done. You won't find that on wikipedia :p
Some topics to include (not necessarily individual projects) - and the projects would be something like How to solve _____.
Basic definitions - notation
Differentiation
Integration
Fundamental theorem of calculus
Chain Rule
Separation of Variables
Integration by Parts
ODE's
Laplace transform
Fourier Transform
Anyone interested in collaborating - even on one subject?
Then, anyone interested in looking at these? Not necessarily to learn how, but to see why it's done? For the why/application - I mean given a real world scenario... I promise, the application portions won't be boring (at least not for the nerdy type) ;)