Possible Topics for Math Presentation/Project

[RubinLicht]

Homework Statement

Sorry, I'm not sure what section this should have went in, but it seemed like the homework/coursework section would be the most fitting. If not, please just move the post to the proper section.

I'm currently in 11th grade and am taking Calculus II/III and Linear Algebra in school. In May we have a math project/open house coming up where we choose, I presume, any topic in math and make a presentation about it. I would like a topic somewhat related to physics because I love physics! Shoot any possible suggestions at me.

For reference, here are some past projects:
Solving Circuits with Laplace Transforms
a few Encryption projects
gabriels horn (not particularly interesting to me, but it demonstrates the mind boggling aspects of calculus and infinity)
a mathematica replica of the T-Rex game (google)
mathematica version of 2048
math of raindrops
one or two on Eulers formula

It seems like there are a quite a few projects that lean more towards programming, I would try to steer clear of a purely programming project because i suck at programming, but i intend to learn the wolfram language sooner or later so if there's anything interesting do post a reply!

I am also willing to learn some extra math on my own and present that topic instead.

Homework Equations

The Attempt at a Solution

My current partner has suggested looking into tensors as a possible presentation topic, which would require some extra learning but I am fine with that.

My current knowledge in physics is limited to halliday resnick level EM(will be starting Purcell in March) and Kleppner level Mechanics. Any topic in Special/General Relativity is extremely interesting to us, although anything from GM may require quite a few weeks of cramming sophomore/junior undergraduate math. I am willing to invest a lot of time in this project. Hit me with all you got.

Cheers and have a nice day.

 

[Dr. Courtney]

It's tough to know what the teacher is looking for here.

I prefer to guide students to stretch a little bit into an area they can really understand rather than treat a topic where they talk about all the buzz words without having a clue about how the implementation details really work.

I bet you could handle a numerical spreadsheet integration in 2 dimensions treating projectile motion including air drag. That builds on freshmen physics in a straightforward manner in a way that you can really understand all the details and that is used all the time to predict the paths of real projectiles. It's also not hard to add a third dimension to handle the effects of wind.