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/sci/ - Science & Math

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6833450 No.6833450[DELETED]  [Reply] [Original]

how to survive calculus 2 next semester???

doing well in calculus 1 so how much lube should i buy next semester

>> No.6833485
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6833485

Stop stressing over trivialities.

>> No.6833494

>>6833450
I'm not sure, but since you're doing well care to help me out? I'm doing critical numbers and I can't quite understand how wolfram got the answers for g(x)=36x-9tan(x). I derived 36-9sec^2(x) and got that down to sec(x)/cos(x) = -4 but beyond that I'm stuck.

>> No.6833540

>>6833494
Anyone?

>> No.6833543

calculus 1 is interesting / fun / easy

calc 2 is extremely fucking boring and difficult depending on how good you are at memorizing ways to integrate shit

>> No.6833545

>>6833540
What is your definition of critical number?

>> No.6833551

>>6833545
Any numbers that g'(x) = 0 or undefined

>> No.6833552

What does Calc II actually cover?

I did Calc II in HS but I don't know what the college equivalent covers.

>> No.6833554

>>6833494
sec(x)/cos(x) is just sec^2(x)

>> No.6833556

>>6833554
Yeah I know, but there are four possible solutions.
http://www.wolframalpha.com/input/?i=critical+numbers+of+36%28theta%29-9tan%28theta%29 I don't understand how wolfram got them.

>> No.6833561

Get 0 on one side of the equation, then complete the square.

It's all you ever need to know in math.

>> No.6833562

>>6833552
I've tutored for calc for like 3 years, so I've pretty much memorized our book. It goes something like this:

>integration by parts
>partial fractions
>approximate integration
>volumes of rotation
>applications to physics/biology/statistics
>sequences/series
>Taylor series
>polar coordinates
>basic vector stuff

>> No.6833564

>>6833494
I feel bad helping you because if you can't do this then you are going nowhere with calculus, but
sec^2(x)=4
sec(x)= +/- 2
cos(x)= +/- 1/2
x=pi/3, 2pi/3
crit point 1: (pi/3, g(pi/3)), crit point 2: (2pi/3, g(2pi/3))
.............

>> No.6833565

>>6833543
this is a very good answer. calc 2 was my first college-level math course and i simply wasn't mature enough at the time to take it seriously. i regret not taking calc. 1 to get into the "college-swing" or whatever. OP, math gets a lot better after Calc 2, which will likely be the last painful class you will have to sit through.

>> No.6833568

>>6833450
I dropped Calc II the first week of my freshman year because it had the reputation of being hard. It wasn't required for my business degree but I ended up taking it a few summers later online for the honors Finance track; it wasn't so bad in that instance and I got through with only self-study and IRC-style office hours. I eventually took Calc III a few years later from the same professor online (again). It was pretty nice since he couldn't be an anti-calculator hardass in a distance learning course and theoretically my grades were higher since the mainstream engineering/math types weren't around to kill the curve. Online attrition rates are super high.

In general I wouldn't worry about anything calculus - they are just engineering courses. Real math fucks with your brain a lot more and don't have much to do with numbers.

>> No.6833573

>>6833556
Think of it this way:

sec^2(x) = 4
cos^2(x) = 1/4
cos(x) = +1/2, -1/2

Then it's just unit circle.

>> No.6833578

>>6833573
I get that, but how do you get the 3n+1 stuff? I never saw that in trig.

>> No.6833585

>plug and chug
>hard

>> No.6833596

Guys, this is hard for me to figure out, because I'm not from Murica.

What does those mathematics correspond to? College level? What major?

>> No.6833605

>>6833578
Cosine is periodic; you get the same value if you shift it by a multiple of 2pi.

Wolfram just factored the general solution.

>> No.6833619

>>6833605
I see. I would really like to continue with calculus but apparently my trig background is shit. I can pass the class easily, but not without guilt. Any recommendations? Sorry if this comes off as a request to be spoon fed, I just really have no direction here.

>> No.6833630

>>6833596
seems like AP statistics which is an advanced high school class

https://www.youtube.com/watch?v=_86q-hn_3DQ

more info on AP Statistics:
https://en.wikipedia.org/wiki/AP_Statistics

>> No.6833635

being confident with u-substitution will probably be enough to get you through the first unit.

trig substitution is also useful but can't always be applied.

partial fractions is a bitch and make sure you know how to pick your u and v values when you do integration by parts.

just do the homework for the section you're going to go to class for before that day, it'll help a lot.

>> No.6833637

>>6833619
Review

Believe or not, all that shit they taught you in high school math is actually useful. Your calc book should have an appendix for most of what you need.

>> No.6833640

>>6833637
I remember most trig identities, I just never saw that periodic stuff before. Does it have a specific name or something?

>> No.6833641

>>6833543
it's boring because they teach you computational stuff, but don't prove anything. if you take analysis it is interesting. I'm taking it next year out of pure interest

>> No.6833642

currently acing calc 2

ama

>> No.6833649

>>6833562
Sounds like a piece of piss. Not even near the most difficult stuff at UK A-Level.

>> No.6833650

>>6833642
thoughts on nootropics?

>> No.6833653

>>6833450
reported for underage

>> No.6833655

>>6833637
>>6833640
Looking at the graph I realize I'm a retard. Thank you for your help, just remembered periodic functions.

>> No.6833656

>>6833640
Periodic

It just means your function repeats after a while. Look it up on wikipedia.

>> No.6833657

>>6833650
Absolutely fundamental. I take about 10mg dexedrine every day.

>> No.6833718

Are cal3, diffeq, linear algebra, and discrete mathematics considered harder or easier than cal 2? Only doing discreet, diffeq, and linear for a math minor. Besides I figure diffeq and and linear should be useful in p.chem

Oddly enough, I had to take cal 1 3 times before I passed it but am breezing through cal 2.

>> No.6833722

>>6833552
>integration by parts
>trigonometric subs
>path lengths and volume of rotation
>polar coordinates and polar integrals
>quadrics
>gradient, total derivative, chain rule, tangent plane, hessian, jacobian
>spherical and cylindrical coordinates, double and triple integrals

>> No.6833725

>>6833722
wait what

If you didnt cover intgration by parts and trig in calc1 there's no way you're getting all the way to triple integrals in calc2

>> No.6833733

>>6833725
We did cover integration by parts in calc 1.

But they did it anyway in calc II again, not even sure if it was part of the curriculum or not now).

I also forgot that we also saw integration by partial fractions, weierstrass substitution, and some other techniques involving trig functions (sin(ax)*sin(bx) and some other stuff like that).
And we also saw partial derivatives and improper integrals.

But, yeah, we got all the way to triple integrals.