/sci/ - Science & Math

Doing exam revisions on a physics I exam I absolutely choked on. Don't know why I'm struggling with this class so much, my higher math courses come easy to me.

Two snowy peaks of different heights have a valley in between them, where each peak is 30 degrees from the horizontal. (IE he slides down a peak, then at the bottom immediately starts sliding up one) A skier starts from rest on the higher peak.

Find the change in thermal energy and the work done by friction during the entire run.

Obviously it is a conservation of energy thing, but what is throwing me off is the change in thermal energy + slopes. If no friction, I can obviously just calculate energy at the top of each peak, but I'm concerned I have to calculate it at the bottom of the peak and THEN the top of the peak to find the thermal energy change. I'm also not sure how angle plays a role in this.

Somebody just point me in the right direction?

>>7210226
I just realized that this isn't an elementary integral.

Man, calculus is weird like that sometimes.

Lately I've been toying with the idea of wondering how different our understanding of the world would be if our math was founded in an entirely different way.

Or perhaps, is our way the only possible way we could understand it?

For instance, if we had constructed our mathematics differently, would something such as an imaginary number be something we could easily rationalize like any other number?

It's just dumb shit, I haven't really put a lot of thought into it, but it is fun to think about.

Is it worth it to go to a university and take on a fuckton of student debt to get an engineering degree?

Looking to transfer either to CU-Boulder or CSU-Fort Collins I think for mechanical engineering with an emphasis in aerospace, but those are about 29k and 24k a year estimated respectively. I already have all the math I would need at least from my current university. (Calc III + diffy) That's a silver lining.

I don't know what I'm doing right now /sci/

/fa/ here

On /fa/, pretty much all STEM majors are considered not /fa/, and I think a lot of it has to do with the fact that there are a LOT of autists to be found within STEM majors, IE people who physically cannot do anything except math. To be fair, that is also mildly true around my campus. A lot of otherwise antisocial fucks who really don't know how to be like a normal person.

Again, I don't think there is anything wrong with that, but if you can't dress yourself and perform basic human tasks, you aren't gonna get hired just because you can solve equations and program faster than the guy who makes a good impression.

That being said, I still struggle to dress and take care of myself so it is a struggle.

/sci/,how do I git gud at note taking?

I look through my notes and I just write down whatever the professor writes in no particular order. I REALLY wanna change that but I don't know how, and since math professors jump all over the place I hate how disorganized mine always are.

I just wanna have quality notes that I can refer back to rather than having to google everything.