Hiya, This is one of the sadly increasing number of times I reach out to the temp for inspiration with college work. I take an advanced maths course and I have to produce a research on a similar level of complexity One of the things they look for is personal engagement, i.e. how interested the student is in the topic. This is assessed by apparent enthusiasm in classes, as well as enthusiasm shown in the writing, and I figure this would be easy to do and I wouldn't have to fake it if I did it on something I'm genuinely interested in. Hence, gaming. Unfortunately I'm really uncreative and bad at coming up with ideas so here's where you guys come in. If you wanna know what sort of maths I do, I've done all sorts from something as simple as arithmetic/geometric functions all the way down to implicit differentiation, integration by parts, the integration of radical functions, volumes of revolution, limits, infinite sums, integrating trig functions, etc. I was thinking something along the lines of 'the mechanics behind RPGs' but I couldn't get much more specific nor could I find something complex on the maths scale. Also the body of the research should not exceed 2,000 words. Any ideas? If gaming is a bad idea here's some other stuff I'm into Computer programming (I know C++ and Java fairly well, and I'm kinda noobish at Python and BASIC), the focus HAS to be on maths though so if I'm to include code it should only be in the introduction to establish the topic of the research, not as part of the actual research itself Science fiction (namely Doctor Who, Bravest Warriors, and The Hitchhiker's Guide to the Galaxy) Collecting mini car models Electrical engineering (mostly repairing stuff, building computers, etc.) Examples of previous stuff students taking my course have done My teacher was telling me about a good research he read before where a student tried to work out the design/dimensions of a vase such that it can hold the most amount of liquid in comparison to the amount of material used to make it. The student obtained a function of the volume of the vase itself against the volume of the liquid it can contain and differentiated it to find a maximum point, etc. etc. you get the gist of it. Another one was something to do with the probability factors behind the game minesweeper. But this was fairly un-complex and scored poorly as a result, even though it was interesting.