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/sci/ - Science & Math


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2950891 No.2950891 [Reply] [Original]

Mathfriends who have taken Calculus, any tips for a newcomer?

Just finished pre-calculus and I'll be taking Calc 1 in the fall.

Pre-calc was alright, did great for most of the semester and started to wane around the end because I focused on other classes more, and just plain didn't study enough.

I think I'll be going over the chapters I had difficulty with/didn't spend enough time with over the summer, but beyond that I've got no plans.

>> No.2950910

Don't forget the trigonometry you just learned. Other than that it's pretty easy. I found it to be less work that precalc.

>> No.2950921

It gets better after that epsilon delta limit shit they force on you the first week.

>> No.2950924

Most of the spatial mathematics you did in pre-calc you can probably forget about. Graphs are important, but you won't really be working with geometry; just algebra and trig.

>> No.2950927

I take it that you are going home for the summer, I would recommend going to your local library and checking out a book on calculus thats fairly simple, and reading through it casually over some period of time, maybe do problems every now and then.

That should help you immensely in calc I-II, the most difficult part of these courses is that the thinking is so different but after you get used to it it's just second nature. I honestly can't remember not knowing calc now lol.

>> No.2950930

>>2950910

I'll try not to, although admittedly it was my least favorite part of the course.

>> No.2950942

>>2950927

Might be taking my last natural science class over the summer, but I didn't want to rush through Calculus over the summer. I'd rather take it slower over the course of a fall/winter semester.

>> No.2950949

>>2950930

You'll love it after you learn calculus, trust me. I hated it when I first learned it too, now I practically worship trig.

>> No.2950960

>>2950949

Our instructor really started to rush toward the end of the semester which kind of killed it I think, other wise I'd probably like it.

I took Trig back in high school and it my favorite math class.

>> No.2950994

>>2950960

Trig never ever goes away either. It's in calc I/II and then an extension of polar quardinates pops up in calc iii, you use them in fourier analysis in calc iv and im sure they are somehow in complex analysis as well because of eulers formula which says,

e^ix=cosx+i(sinx) consequently thats where e^i(pi)+1=0 comes from as well.

>> No.2951030
File: 8 KB, 614x460, horizontal cylinder.png [View same] [iqdb] [saucenao] [google]
2951030

OP, how does one calculate the volume of liquid inside a HORIZONTAL cylinder tank if you only new the height of the water?

If you can't answer this then you're not ready for calculus 1.

>> No.2951041

>>2951030
that cylinder looks so sad... :<

>> No.2951050

>>2951030
Fuck man I'm a physics grad student and I don't even think there's enough information to solve this problem

>> No.2951059

>>2951030

I'm passing calc III with an A and I can't answer this one. Fuck you.

>> No.2951066

>>2951030
>>2951030

lol you obviously need to know the length of the cylinder too...

>> No.2951068

>>2951030

fail

>> No.2951072

>>2951030

I'm passing calc III with an A and I can't answer this one. Fuck you.>>2950910
>>2950910
>>2950891
>>2950891

>> No.2951074

>>2951030
If I don't know the radius how can I calculate this?

>> No.2951077

>>2951050
>>Fuck man I'm a physics grad student and I don't even think there's enough information to solve this problem

I'm pretty sure he means you're given the dimensions of the tube as well... in which case it's easy, just dick around with trig on the circle and there's a few ways to do it

>> No.2951078

>>2951030
obviously you need to know the dimensions of the cylinder...

>> No.2951083

>>2951030
Can't be answered on that alone. Need some reference to the size of the cylinder.

>> No.2951089

>>2951030
>new

>> No.2951097
File: 5 KB, 300x300, cylinder.png [View same] [iqdb] [saucenao] [google]
2951097

>>2951030
um presumably he means with the dimensions of the cylinder too...

>> No.2951107

http://www.amazon.com/Calculus-Problem-Solver-REA-Solvers/dp/0878915052/
>120 used from $0.75
Do as many of these problems as you can. Utterly annihilate every test they throw at you.

>> No.2951109
File: 2 KB, 213x165, huehue.png [View same] [iqdb] [saucenao] [google]
2951109

>>2951041
>>2951050
>>2951059
>>2951066
>>2951068
>>2951072
>>2951074
>>2951078
>>2951083
>>2951089
wow

>> No.2951116

Ah well at least >>2951077 understand what I meant. You are given three variables: radius and length of the tank as well as the height of the water

the formula looks something like this but their is also a calculus formula to solve this problem as well.


arccos((r-x)/r)r^2-(r-x)sqrt(r^2-(r-x)^2))*L

r=radius of the liquid

x=height of the liquid

L= length of the tank

>> No.2951117

>>2951097
damn, that cylinder looks mighty pissed off

don't wanna be near that dude when he blows up

>> No.2951140

>>2951116
>>2951116
(arccos((r-x)/r)r^2-(r-x)sqrt(r^2-(r-x)^2))*L

I forgot the other parentheses. Anyways this is one of many formulas to solve the cylinder problem

>> No.2951186

OP here.. so Im okay not knowing the whole cylinder thing?

>> No.2951190

>>2951030
(2(cos^-1((r-h)/h))/360)-((r-h)√(h²-(r-h)²)

amirite?

>> No.2951248

>>2951190
too late my nigga>>2951140


>>2951186
I was just trolling OP of course you will be fine with out knowing the cylinder thing. Its a shame however that me (a high school dropout) knows more math than a college student.

>> No.2951250

>>2951186
>>OP here.. so Im okay not knowing the whole cylinder thing?

well actually you might want to work on your trig then...
just saying

it comes up in a lot of differential problems and a number of integrating methods as well

>> No.2951273

>>2951186
you will need it for any serious multi var calc course so better learn it sooner than later.

>> No.2951293
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2951293

>>2951248
also I apologize for putting doubt in your head. I feel guilty now.

>> No.2951320

>>2951030
Assuming you know the dimensions of the cylinder, you can just integrate over the length to get the volume. Or something like that.

>> No.2951350

>>2951320
people who use calculus to solve this problem are retards and probably engineers too.

>> No.2951370

>>2951350

>using calculus to simplify a geometric problem
>get called an idiot
>laughingaliens.jpeg

>> No.2951400

>>2951370
>using calculus to simplify
>using more advanced math to simplify a simple trig problem

oh wow, you're really off today /sci/

>> No.2951440

>>2950891
after the limit bullshit they force down your throat in the first week it isnt bad. Derivatives aren't bad, integration is a bitch. I am redoing integral calc this term after dropping it before I was responsible for the grade last term.