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Passed test slayer by Martha Pullerkitch - Sun, 17 May 2015 12:48:46 EST ID:muTtSqY/ No.14736 Ignore Report Reply Quick Reply
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What's up /math/, I just got 84% on a test I was really worried about fuck yeah. But one question I couldn't answer, it seems like it's insoluble, can you help me out?

A rocket is traveling through space at a speed of 7500 m/s. If in one second it burns 710 kg of fuel, what is the change in momentum during this time interval in kg m/s.

Don't you need the exhaust velocity of the rocket to solve this? Thanks
Nathaniel Fuckingwell - Fri, 29 May 2015 15:50:41 EST ID:i84x+n57 No.14762 Ignore Report Quick Reply
Maybe because of an opposing pull of gravity, the velocity of the rocket doesn't change at all. The deceleration from gravity could exactly cancel the acceleration due to thrust. Whatever the case, whoever made the question wants you to assume the change in velocity is negligible and that the change in mass is all that contributes to the change in momentum. So (delta p) = (delta m)*v.
Matilda Pockcocke - Wed, 17 Jun 2015 00:15:37 EST ID:sPd/0oB/ No.14799 Ignore Report Quick Reply
This doesn't mean much without the exhaust velocity, really.
In fact I'm not sure the speed of the rocket is relevant to calculate the momentum change. Speed related to what? In which direction?

Looks like a trick question at best.
Jarvis Bardson - Wed, 17 Jun 2015 18:05:29 EST ID:x6xydNWl No.14800 Ignore Report Quick Reply
Guys, look at the units. Momentum is Mass x velocity. Velocity is fixed, change in mass is given. Find change in momentum.

Unless I'm missing something, this seems like a straightforward elementary physics problem.
Jarvis Bardson - Wed, 17 Jun 2015 18:08:54 EST ID:x6xydNWl No.14801 Ignore Report Quick Reply
Nathaniel has the right of it. Sorry I didn't see that sooner.

NB for double post.
Cedric Dubbersare - Thu, 18 Jun 2015 12:28:42 EST ID:nyIjuDfA No.14802 Ignore Report Quick Reply
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It's a "restate the momentum equation" kind of problem. You're calculating the change in Momentum"dM" over a given time period "dt". Naturally, we all remember that momentum"M" is given by mass"m" times velocity aka: M=m*v. We're given both the velocity"v" and the change in mass"dm" over a period of time"dt" so the equation looks like "dMomentum/dt = dmass/dt * v" fortunately for us, the "dt"s on both sides of the equation have a value of 1 second and can be ignored because anything/1=anything. this problem is now a simple multiplication problem: "dM = -710kg * 7500m/s" which anyone may plug into a calculater at their leasure.

Good night, sweet prince. by Barnaby Drapperstat - Sun, 24 May 2015 14:29:23 EST ID:z/dIPyff No.14746 Ignore Report Reply Quick Reply
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John F. Nash Jr., a mathematician who shared a Nobel Prize in 1994 for work that greatly extended the reach and power of modern economic theory and whose decades-long descent into severe mental illness and eventual recovery were the subject of a book and a 2001 film, both titled “A Beautiful Mind,” was killed, along with his wife, in a car crash on Saturday in New Jersey. He was 86.
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Nakura !xMsGPnYjBI - Tue, 02 Jun 2015 20:07:20 EST ID:NAU1L+Of No.14770 Ignore Report Quick Reply
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stfu kid
Chaos strikes at the strangest of times. You really are disrespecting a great mathematician, and though I forgive you, just, idk, watch your mouth around the greats of mathematics. Their life force is a squared gamma function of an iteration of the trancendental # e anyway, so, he's probably chill.
Phineas Peblingshaw - Wed, 10 Jun 2015 23:42:43 EST ID:rp0UlP7W No.14788 Ignore Report Quick Reply
Was there even a thread for Grothendieck?
Nicholas Chingerperk - Thu, 11 Jun 2015 13:14:16 EST ID:QIXSgr8C No.14790 Ignore Report Quick Reply
media didnt make as much of an event of it
Basil Sasslehut - Fri, 12 Jun 2015 23:48:17 EST ID:rp0UlP7W No.14794 Ignore Report Quick Reply
It's just weird, even my friends who are mathematicians didn't say anything about it but posted something about John Nash. I guess it's amazing what a movie can do to public perception. No disrespect to Nash I'm just kinda bummed that Grothendieck wasn't appreciated when he was one of the greatest mathematicians of the 20th century.
Fanny Soddlestut - Sat, 13 Jun 2015 21:37:56 EST ID:QBhQLlLE No.14798 Ignore Report Quick Reply

No one can deny that Nash was more well known than Grothendieck. Not to disparage Grothendieck, but I think Nash focused on much more practical and "relevant" areas of mathematics such as game theory and computer science, which is interesting to everyone, while Grothendieck was more of a specialist in the field of Algebraic Geometry and Topos theory, which is niche. Nash also did excellent Algebraic Geometry.

Basically, Nash achieved more and had a more interesting story and received more attention as a result. They were both great mathematicians and their death is a huge loss, but Nash was a bigger deal for many reasons.

Drinking your wallet by Whitey Bomblefodge - Fri, 12 Jun 2015 02:09:00 EST ID:vX6Harxq No.14791 Ignore Report Reply Quick Reply
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I thought this was a question for hooch, but I have a second thought here.

Say you pour a $8.00 bottle of vodka into a glass. You suddenly envision coins dripping out of the bottle. My question for you, what coin were you seeing?
Whitey Criffingbanks - Fri, 12 Jun 2015 05:32:17 EST ID:i84x+n57 No.14792 Ignore Report Quick Reply
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$8 for a 750 ml bottle? I'd imagine diarrhea dripping out, not coins.

Assuming we're talking about US currency and 750 ml bottles, using the penny - the coin with the greatest volume to value - you'd only fill the bottle up close to 2/5 of the way. This is assuming that the pennies sorta melt like the watches in pic related, which is a fair assumption considerring your wording. This way we don't have to worry about space between the pennies.
Whitey Criffingbanks - Fri, 12 Jun 2015 05:50:14 EST ID:i84x+n57 No.14793 Ignore Report Quick Reply
Clara Wennerfock - Sat, 13 Jun 2015 06:22:58 EST ID:YsOAl7K9 No.14797 Ignore Report Quick Reply
I'm assuming it's half that size. That sounds about right. It's cheap but might not make you go blind.

Anyway it's 2.13(recurring) cents per ml at that quality/quantity. Vodka is about 37% alcohol and a smidge of glycerine if it's that cheap. Glycerol is about 1.2g/ml water is 1 and alcohol is .789. Vodka can be up to 40% but by assuming it's cheap shit. Glycerine is like 5% and the rest water so 1 ml is .05*1.2g + .37*.789g + .58g

a cent has a displacement of about .0433ml while the current rate is about .46ml per cent so US cents are probably pretty appropriate actually.

If ti's a 350ml bottle it's probably dead on.

If you're that desperate to get drunk buy some cheap cider though. White lightning actually does taste like it's been through someone's kidneys already but it's got the same alcohol content in a 3 litre bottle as a quart of vodka and when I was young enough to be desperate it was about 1/3 of the price of the absolute worst vodka I could get that wasn't toxic and illegal.

fertilizer question by Isabella Blackforth - Fri, 22 May 2015 19:43:11 EST ID:YCs1tF7z No.14741 Ignore Report Reply Quick Reply
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Hello /MATH/ I have a quick question for you to help me out with if that's cool.
Basically I just need to know how much fertilizer 20-4-8 would be in a 100lb bag
Betsy Pongerlock - Fri, 22 May 2015 21:34:36 EST ID:rw1aY/ny No.14742 Ignore Report Quick Reply
about 100lb
Phineas Hepperdock - Wed, 27 May 2015 23:45:30 EST ID:Jz+dW0dw No.14755 Ignore Report Quick Reply
Those are percentages.

Surely you know what a percent is.

<3 <3 by Jack Benninghat - Wed, 18 Jun 2014 06:38:10 EST ID:Fj/YvlCk No.14096 Ignore Report Reply Quick Reply
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I love maths and I love you <3

Share whatever proof, trick, theorem, mathematical tool, number, or other maths-related stuff you like in this thread.

I like e. It's always felt a bit "blue" for me, you know 2.7182818284590452353... A nice deep blue.
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Emma Dibblelidge - Sun, 03 May 2015 01:57:34 EST ID:K8qJv5EF No.14717 Ignore Report Quick Reply
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I'm a bigger fan of the spectral theorem (orthogonality is the bee's knees), but functional analysis is ballin' no matter how you do it.

Integration by parts is sneakily one of the most powerful tools in calculus. Seemingly just a technique for calculating integrals in a second semester course, the IBP formula is actually the backbone of Sobolev Spaces, and thus the backbone of the theory of Partial Differential Equations.
Martin Dribberdark - Sat, 09 May 2015 02:05:15 EST ID:YlDX0MWs No.14728 Ignore Report Quick Reply
I have been meaning to learn what spectral theory is all about, but fuck wikipedia for learning, why do I ever bother with it. Got a free reading recommendation and/or care to write a bit about what it is, essentially? (audience: math BS)

That IBP bit is really interesting and I want to know more. I remember a similar feeling when learning Variation of Parameters in diff eq, like it was a specific case of something more fundamental but I can't recall the line of thought now. Seeing it again, but applied, in physics was neat.

I have looked at and hatefully closed the wiki for Sobolev spaces before, I think, and definitely Hilbert spaces (which came up in spectral theorem wiki). Fucking wikipedia, I just can't learn from it and need to accept that.
Caroline Brebbermag - Fri, 15 May 2015 20:25:48 EST ID:K8qJv5EF No.14733 Ignore Report Quick Reply
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Hmm, to really understand the gravity of the spectral theorem, you'd need to have a pretty firm understanding of functional analysis, which in turn requires a firm understanding of linear algebra *and* measure theory.

For measure theory, probably the best beginner's book would be Royden's "Real Analysis", 3rd edition. Very clear language, motivates the study, etc. Be ready for some abstraction, though: measurable sets and functions are ill-behaved to say the least.

Once you understand the Lebesgue Integral, you'll be ready for functional analysis. There are many fantastic texts on the topic, but if you're *only* interested in learning spectral theory, you might want to try "Theory of Linear Operators in Hilbert Space," by Akhiezer and Glazman. This is a Dover book, and therefore very cheap. It covers everything from the basics of functional analysis (on inner product spaces) to the full spectral theorem for self-adjoint operators.

If you want a basic rundown of the spectral theorem, it basically says that very symmetric operations of certain kinds (like multiplication by a real number [boring] or the second derivative operator [interesting]) can be used to decompose certain vector spaces via an orthonormal basis, i.e. into a coordinate system where each axis is at "a right angle" with each other axis. This allows one to decompose your symmetric operation into a sum of very simple transformations on individual components. Like any other "decomposition" theorem, this is *extremely* advantageous when solving tough problems where these operators play a big role.

As for IBP, when combined with Sobolev spaces, it allows you to transform a second order partial differential equation into an integral equation of sorts. If your original PDE was linear, your integral equation gets alllll sorts of special properties (bilinear forms are what they become). This allows for really interesting theorems from functional analysis, like the Lax-Milgram theorem or the spectral theorem, to become immediately applicable to solving, or at least guaranteeing a solution to, your PDE. You *must* have Sobolev spaces for this approach to be sou…
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Ian Noffingdock - Tue, 19 May 2015 15:35:08 EST ID:NCaB2rkH No.14738 Ignore Report Quick Reply
You've provided some great resources to look into here and a clear path forward Brebbermag, I thank you for it.
Caroline Murdbury - Wed, 27 May 2015 04:01:40 EST ID:96SVbDTc No.14753 Ignore Report Quick Reply
This is along the same lines as my little trick for squaring, will use the same number. I don't even remember where I got it from, I think my calc 3 teacher squared some big number with it and I thought it was really elegant.


As for my favorite thing, the bisection method of root finding is up there. Just a really really beautiful and simple way of looking at the problem. The idea of "just split an interval in half and figure out which half has the root in it, repeat" is just really neat to me.

Helpless dumbfuck calling for help by Sidney Passlenotch - Mon, 04 May 2015 16:43:13 EST ID:3dz0uQ7J No.14724 Ignore Report Reply Quick Reply
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Is a horizontal or vertical line that expands to infinity it's own asymptote? Or is this in this case not applicable and a really dumb question?
Phineas Hecklesot - Tue, 05 May 2015 10:18:46 EST ID:xOOOxXVr No.14725 Ignore Report Quick Reply
An asymptote is defined as a value that is approached but never reached. Y=3 reaches Y = 3, so it's not its own asymptote

nice question though
Reuben Chacklefield - Sun, 17 May 2015 06:24:17 EST ID:WtAxPZi7 No.14734 Ignore Report Quick Reply
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tl;dr not really but I can prove otherwise

So consider the horizontal line y (x) = 3 i.e. y is independent of x, so for all values of x, y is always 3.
If x/x = 1,
then y (x) = 3 = 3*1 = 3x/x
It would still give you a horizontal line, but at x = 0 shit fucks ass.
You can then repeat this idea with other values like (x-1)/(x-1) = 1 so you get a "hole" at x=1, so on and so forth. Repeat this for all values of x and insert it into the equation then your line will be asymptotic to itself.
Shit Bottingbire - Sun, 17 May 2015 13:24:26 EST ID:xOOOxXVr No.14737 Ignore Report Quick Reply

An asymptote is a discontinuity, but not all discontinuities are asymptotes. What you just described is a function that is not continuous at all integer values of x, but not one with an asymptote.

I would also tend to argue that y = 3(x/x) is a different function from y = 3 simply because it returns different results

How can I relearn math? by Nicholas Cluzzleshaw - Sun, 26 Apr 2015 16:13:04 EST ID:L+X0k1Ap No.14703 Ignore Report Reply Quick Reply
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Hello /math/. I have retrograde amnesia.
I've forgotten math essentially, so much so that my abilities have regressed to that of a high school freshman.
Where and how do I relearn what I've forgotten? I've lost my job because of this.
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Hamilton Siddlenare - Wed, 29 Apr 2015 14:00:24 EST ID:L/U2K+oV No.14712 Ignore Report Quick Reply
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This reason is why i was so pissed about school. I was in honors during middle and high school. About a year ago I realized it had been years since i did any math. I found that i couldnt remember how to do SIMPLE SUBTRACTION. Fuck grade school.
Henry Murdbury - Fri, 01 May 2015 06:40:52 EST ID:gp8hje0w No.14715 Ignore Report Quick Reply
I would say to check out your local community college and do a college mathmatics placement test to see where you are at. I would say you should be able to enroll in pre calculus if you have some memory of simple algebra and geometry
Barnaby Fizzletetch - Sat, 02 May 2015 19:18:23 EST ID:Hj/F401x No.14716 Ignore Report Quick Reply
I've been in the exact same situation. Didn't like math in HS, didn't do it for years afterward. When I started taking classes again, I got owned hard.
Fast forward to the day before yesterday and I feel like I did pretty good on the back-to-back midterms I took on Fourier analysis + linear ODEs and algorithms (which is proof-heavy).

The same boiling water that softens the potato hardens the egg.
Martin Dribberdark - Sat, 09 May 2015 01:52:04 EST ID:YlDX0MWs No.14727 Ignore Report Quick Reply
My memory has always been shit, but it turned out to work in my favor for maths because I couldn't just memorize everything, I ended up having to derive everything, and re-derive it and re-derive it sometimes, until it made sense in an I guess "intuitive" level. Turns out this is a pretty good way of learning math, if a bit "slow".

My advice is to start MORE basic than you think. If I say "learn about fractions" and your reaction is "no that's too easy I want to start higher", I would suggest not to skip it. Spend a little bit actually working problems so you definitely have a very solid foundation. When I tutored calculus, there were students who got all frazzled at when where and how (not to mention why) they could "cancel out" a numerator and denominator, so their learning got held up because somewhere along the way they were like "yeah yeah ok whatever got it"
Basil Giffingford - Mon, 11 May 2015 10:33:10 EST ID:bG7/Mgyv No.14731 Ignore Report Quick Reply
Buy/torrent the book "Basic Mathematics" by Serge Lang. It's highschool and precalc but written from the perspective of a mathematician so you get a rigorous logic and analysis course out of highschool math instead of just being a calculator.

Soo by Nell Gabblewell - Sun, 03 May 2015 14:03:43 EST ID:zDln8d4D No.14718 Ignore Report Reply Quick Reply
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denominators dont cancel eachother out ,right? Tf do i do here?
Fuck Funkinpit - Sun, 03 May 2015 14:43:22 EST ID:qz3c7Bt+ No.14719 Ignore Report Quick Reply
Fuck Funkinpit - Sun, 03 May 2015 14:44:27 EST ID:qz3c7Bt+ No.14720 Ignore Report Quick Reply
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You don't cancel a+2 like that.
Sophie Perringchure - Sun, 03 May 2015 20:11:51 EST ID:hudlvJsh No.14721 Ignore Report Quick Reply
Looks right to me
Is the equation supposed to equal something? are you trying to solve for a?
Hamilton Fundlebick - Sun, 03 May 2015 21:18:36 EST ID:zDln8d4D No.14722 Ignore Report Quick Reply
Nah I fired it out
I was supposed to multiply the 3s
Hamilton Fundlebick - Sun, 03 May 2015 21:21:48 EST ID:zDln8d4D No.14723 Ignore Report Quick Reply
Yes I believe you do
I got it right

Discrete Maths: Video Courses by Betsy Pubberchadge - Thu, 23 Apr 2015 20:57:44 EST ID:Y+QSKjuy No.14700 Ignore Report Reply Quick Reply
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Hey guys,

I'd really like to learn discrete maths, preferably starting with some video series. Ones that would cover the subjects well in depth, rather than giving brief overviews. I will turn to books after that, it's just that having an actual teacher on such media is for me way more stimulating and makes me feel more involved.

Could anyone be kind enough to recommend such video serie(s) that go well in depth for each subject?

That would be greatly appreciated, thanks!
Nigger Sungerforth - Thu, 30 Apr 2015 05:00:01 EST ID:i84x+n57 No.14713 Ignore Report Quick Reply
A while back, I torrented a lecture series by Arthur T. Benjamin in order to teach myself discrete math. I found them pretty helpful. Give 'em a try; they shouldn't be too hard to find.
Nigger Sungerforth - Thu, 30 Apr 2015 06:55:06 EST ID:i84x+n57 No.14714 Ignore Report Quick Reply
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finalss by Martin Sovingcocke - Tue, 28 Apr 2015 00:24:22 EST ID:eI+mFgPX No.14708 Ignore Report Reply Quick Reply
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I have my analysis final Wednesday. I'm redoing past tests and I cannot figure out number 4 part a! Some kind soul please help!
Thomas Sommerville - Tue, 28 Apr 2015 00:39:31 EST ID:qz3c7Bt+ No.14709 Ignore Report Quick Reply
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HALP. by Lydia Fancocke - Sun, 26 Apr 2015 03:31:01 EST ID:6wsrD9dK No.14701 Ignore Report Reply Quick Reply
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I'm allowed to ask for help here?

I haven't done maths since high school and I cannot work out why my final projection total is different if you work it out as a row (As in with the totals of the year) or if you work it out as a column (as in the totals revenues of each market).

This is obviously a pretty newby question but if its any community consolation I help out newbies on boards I know shit about. Thanks /math/
Hamilton Fellerbuck - Sun, 26 Apr 2015 12:40:31 EST ID:qz3c7Bt+ No.14702 Ignore Report Quick Reply
I don't know what the hell you're talking about but the "Residential Services Total" for 2008 is not equal to the sum of the first three rows in "2008 Projection". This disagrees with the way 2005, 2006, and 2007 "Residential Services Total" are being computed. Are you doing this by hand?

Have mercy on my undeserving soul // Pass Calc Exam by Albert Blackstock - Mon, 02 Mar 2015 01:53:56 EST ID:oIF65CiW No.14625 Ignore Report Reply Quick Reply
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Look, I'll get right to the point.

I'm smart, but I put no effort into school. It's fucked up, and I'm sorry.

I need to pass my 2nd Calc 1 exam, which covers limits, differentiation, implicit differentiation... basically all of Chapter 2 in the standard Stewart Calculus book, and that exam is on Wednesday around 6pm.

How can I best prepare for this exam? I am able to grasp concepts, I understand math up until Calc, and limits/differentiation fairly intuitively, but I fail in the details. I really haven't kept up to speed with this class because, as previously stated, I'm a jackass.

Just... have mercy on my soul, /math/ friends. I am trying to clean my act up.
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Lillian Gashbat - Thu, 12 Mar 2015 12:28:25 EST ID:Dk8yywxc No.14635 Ignore Report Quick Reply

That's not necessarily true. Many schools begin introducing more rigorous proofs and abstract notions that can make Calc 3 quite difficult if you dont keep up with it.
Betsy Niggerlock - Thu, 12 Mar 2015 13:43:46 EST ID:nxCnniYW No.14636 Ignore Report Quick Reply
As a side note, does anyone else think the calc1,2,3 progression is interesting? It almost seems badly organized, like it should go single var, multi var, then series/etc. Most people seem to think calc2 is a departure from what they were learning, and calc3 is a return to it. That's not exactly how I felt, but I can see their point.

This is assuming you live in a place where this is how it's done. And if you experienced a different progression through calculus, I would be very interested in how the material was presented, chronologically.
Sidney Suzzleson - Fri, 27 Mar 2015 21:47:51 EST ID:FF4db3LF No.14671 Ignore Report Quick Reply
Seconding this. I'm in Cal 3 right now, and it's nothing to worry about. Cal 2 can be rough the first time around, though.
Beatrice Claywater - Sat, 28 Mar 2015 19:32:07 EST ID:uBbxSpMx No.14674 Ignore Report Quick Reply
I'd say look over the past papers right away so that you have an idea of what kind of questions you may be asked. Practice those questions over an over again, do them looking at your notes so you get how to do the questions. Then do all that other stuff.
Phineas Suffinglock - Thu, 16 Apr 2015 15:25:59 EST ID:xwcXgACR No.14698 Ignore Report Quick Reply
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Myself and my group of friends consider ourselves, "smart" but my friend and I went through an enormous shift during our first encounter with calculus. Part of it was realizing that our algebra skills, as developed by the education system, were sub-par and we had to take the reigns to make sure our mathematical life was in order. The second thing was that we went through our first mathematical "growing pains", alluding to the idea of mathematical maturity.

Besides doing practice problems, you might want to soak up and wonder about what you're actually seeing. The feeling you get when you realize another level of generalization can be pretty dramatic. For example, realizing that you can construct mathematical objects from thin air and apply calculus tools to them, as long as you do this properly. It's the first time you're asked to be creative mathematically instead of just remembering things. This leads me to my next point.

When you're studying math the best thing you can do is collect and understand the hard facts relating to what you're studying. Theorems, differentiation rules, etc. The facts you know will determine what moves you can confidently make when you don't have any references around you. The depth of your imagination, as I referred to earlier, will determine what moves will occur to you. It doesn't matter if you have all the facts if you can't use them. My impression is people generally feel insecure when they do math, because it seems like a very authoritative subject. You might try something, "your way" only to be told that's not right. The only way to get fluent in math is by making creative decisions motivated by facts and then being reassured when you find out you're right.

Do the homework, but don't be afraid to sling dick and do every problem you can get your hands on. The problems that take an entire day to solve can be the most rewarding because it's likely not computationally difficult, it's conceptually difficult. If you have all the facts and still can't do the problem quickly, then you're probably going to experience the kind of mind expansion required to get to the next l…
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