“What if we integrate math into a society?” “You mean engineering?” “Get out.”
@sureshotshorts12074 жыл бұрын
There are no replies this day.....
@SUKHDEV0014 жыл бұрын
as an engineering student I've literally spily my water
@powerstroketurbo954 жыл бұрын
"Integrate" Hah I see what you did there
@GRBtutorials4 жыл бұрын
So you’re saying ∫ math d(society) = engineering? That doesn’t fit, there’s no society in the solution! The solution should be math * society + C, because math is a constant and society is the variable. EDIT: I forgot the integration constant, d'oh!
@stanfordfeynman27964 жыл бұрын
GRBTutorials Nice haha. Can’t that still work tho? Indefinite Integral of k dx is kx +c, so wouldn’t that still be math * society? (Ignoring the +C for now lol)
@noosurprises5 жыл бұрын
One day I just decided that I'm good at math, and since then I've just been great at math. Simple really
@thewolfofmaharlikastreet5825 жыл бұрын
Yeah thanks im a mathematician now
@BangMaster964 жыл бұрын
+God Guzzlord Great, so tell me what a tensor is
@N9TheNoob4 жыл бұрын
Lol me too
@amiragaripov81364 жыл бұрын
it's all about mindset, really
@Uhuhmmmhmmm4 жыл бұрын
Not an outrageous comment at all. It really is all about the mindset with which you approach maths. If you think you’re bad at it, then you’ve put up a mental block. If you approach it as you would when solving a puzzle, you’ll see that it’s actually fun.
@kyleaca51225 жыл бұрын
When your homework is only three problems you know it’s bad
@noteskeep43074 жыл бұрын
I think that depends on the level you're working at
@ashishkumarsharma13234 жыл бұрын
every homework at MIT 😔
@samyakbharsakle16184 жыл бұрын
@@ashishkumarsharma1323 you studyin at MIT?
@Godakuri4 жыл бұрын
My homework is usually 7-9 questions, at PSU
@user-en5vj6vr2u4 жыл бұрын
@@Godakuri pathetic undergrad
@victorserras6 жыл бұрын
How to learn math and everything with ease. Seriously: How I learn math and everything else: I use what I call the “synthesis method”. When I’m studying math I don’t just read things and move on to the next things, I have the book and paper with me, and after everything I study, I have to synthesize what I just learned in my own words. After doing that, I use my own notes as reference for the material instead of the textbook I learned from. This method is slow in that i can only study about a dozen pages a day, but it has the following benefits: when I study something, I get FULL understanding, and I remember everything. And That’s what learning is: understanding + memorization.
@zachadolphe36335 жыл бұрын
Honestly, I do something very similar, especially with math and physics. I find though when I understand something I actually inherently remember because well... I understand it haha
@maxxalexander56165 жыл бұрын
I totally agree with this one. Reiterating or interpreting what you've just read with spoken words, most importantly, really helps drive that learning process. I say spoken words because it is a way for the thought to resonate in a space other than your head. I'm not really sure why this works for me. like Victor said this method is very slow. it is satisfying when you do figure something out using this method as it feels like a grind. however it is not very efficient for time-sensitive things like school or if you work too. But hey, it's the best i got for now lol.
@Boog11375 жыл бұрын
I do the same things but to keep it succinct and time friendly I take notes on notecards and really try to parse the information into “concepts” and “skills” while leaving out the fluff. If I HAVE to know it it’s on the cards, any deeper understanding I usually trust will stay in my head
@soccerplayer22775 жыл бұрын
I find this method works better, I read through everything and put it in my own words while I read BUT I don't write it down. Then I come back a day or two later and do the problems. I work hard to recall the insights I made earlier. I always find once I recall something I remember it ten times better after that than just doing it thoroughly once.
@donkosaurus5 жыл бұрын
i prefer osmosis by keeping the textbook next to my belly under my shirt
@lovaaaa24516 жыл бұрын
Step 1: Identify your preferred pedagogical style (eg personally formality, precision) Step 2: Find nice theory books, read very carefully and fill in steps, make sure the book seems really difficult to you (Bourbaki) Step 3: Always do problems which are really really hard for you, get used to the frustration and the dopamine when you succeed (again Bourbaki) Step 4: Become obsessed with solving harder problems and learning more theory
@kickfloeb5 жыл бұрын
Dopamine releases when you anticipate a reward, not when you actually obtain it.
@randomdude91355 жыл бұрын
I'll try it
@kickfloeb5 жыл бұрын
@Tracchofyre I think that you are completely right sorry
@sowrabhsudevan91195 жыл бұрын
Lova aaa I didn’t know the Bourbaki books had exercises in them.
@thelegendofsheboo70485 жыл бұрын
Only step 4 that dose the trick
@gauravahuja84106 жыл бұрын
Yep that's him Physicist PewDiePie *AndrewPie* Btw that's actually helpful
@tocilaraochelarista6 жыл бұрын
Andrewπ
@dominicjohnmutholil5 жыл бұрын
Why not approximate that to Andrew3?
@alexismisselyn39165 жыл бұрын
@@dominicjohnmutholil but pi = e = 3 so we can also approximate as Andrew[lim(n->+oo)(1+1/n)^n]?
@buckbennington32725 жыл бұрын
From some simple deduction I’ve concluded you’re a multi-millionaire. You said you have four textbooks on quantum mechanics alone, no mere peasant can afford that many textbooks on one subject.
@mikhailmikhailov87815 жыл бұрын
*Khmm khmm* Search for some pdf's on the internet *khmm khmm* Or just sell drugs to afford the physics books.
@Matthew-li7we4 жыл бұрын
@@mikhailmikhailov8781 or buy a textbook from the 90s. Sure all the information may be wrong or outdated, but it only cost you $5 including shipping and handling!
@beap-64 жыл бұрын
wat, prev editions, ebay ebooks, and used textbooks can be found for prices surely agreeable with the common man
@ChristAliveForevermore2 жыл бұрын
Work a hard job, live with family, pinch pennies, spend surplus on books rather than other things.
@lancepants76486 жыл бұрын
How to “git gud” at math
@eve83725 жыл бұрын
I'm sorry I donut undiestand ur engrish
@Tamaraalkhateeb5 жыл бұрын
plese spel rite bro ur weerd
@animemashups61635 жыл бұрын
You need practice and patience...and Black Knight pen.
@thegame70395 жыл бұрын
Man of culture I see
@ahmadtarek77635 жыл бұрын
Praise the math .
@jordanlazaro16764 жыл бұрын
This is inspiring. I am an aspiring Medical Physicist. I was originally a Philosophy major (I wanted to get my Ph.D. in Ethics) and I was always interested in Physics but I always doubted myself because I almost failed high school algebra more than 3 times. Just last week, however, I knew that my fate was to be a medical physicist and thus I switched my major to Physics and Biomedical Physics. I am currently in college algebra and taking several calculus courses scared me, but after watching this video, I feel motivated to continue this arduous path of becoming a physicist. THANK YOU!!!
@josephforys68563 жыл бұрын
you've got this, my friend! How's it going?
@NegativeAccelerate3 жыл бұрын
OMG I’m the exact opposite. I’m really good at maths but I have a huge passion for philosophy and have done very poorly in my English exams so I decided to study theoretical ohysics.
@ubermenschonsteroids15202 жыл бұрын
I hated math back in elem and HS but I started to appreciate it when I took Philosophy as an undergrad... I hope I paid more attention back in the days
@willb2952 жыл бұрын
It’s been a year. How are you know?
@Pclub4ever2 жыл бұрын
@@willb295 He most likely gave up. People who share their plans on social media/youtube never follow through.
@jmac32236 жыл бұрын
I’m currently self- teaching myself calc I, and doing great! If I could give one piece of advice to any individual who is struggling with math whether it be simple algebra or real analysis, practice. Do TONS of practice problems, and I mean tons. Whenever I’m stuck on a problem or topic I can’t wrap my head around, I try and approach the problem in a logical way and keep repeating problems for that particular topic. Eventually, I start to understand what I am doing wrong and use that knowledge to improve. I hope this has helped.
@geddon4366 жыл бұрын
Proving every theorem. I like that idea. Did it work for every concept in algebra, trigonometry and caluclus?
@makehimobsessedwithyou64126 жыл бұрын
Doing tons of problem need tons of time!!Remember you are not just studying one subject.
@theralhaljordan73376 жыл бұрын
my ADD is really fighting me when I do math for a long time, but I will prevail
@laurasalo61605 жыл бұрын
I am learning more about integration now and various physics concepts. Teaching myself too! I could have my face in a math or physics text/book all day everyday and never get tired of it. On my days off I'm researching from sun up to sun down. I love nothing more and there's so much to learn. I'm struck everyday by the beauty of math. I'm obsessed... and obsessive. :)
@PulpyButtGoo5 жыл бұрын
The Real Hal Jordan I know your pain I have ADD as well. I’m about to finish cal 4 and DE in a few weeks with an A in both. Just cause it’s hard doesn’t mean we can’t do it! Keep at it bud
@gdhexan35905 жыл бұрын
You want to be a better person ? Be more person
@withlovefalseortrue98395 жыл бұрын
Uh
@BonaFide惊人的5 жыл бұрын
Genius
@dashl50695 жыл бұрын
you want to be a better person? do more people
@brettkim11155 жыл бұрын
getting constant exposure to better people actually wouldn't be a bad idea
@tfres84895 жыл бұрын
"Read more"
@mvg5236 жыл бұрын
I agree. I've been tutoring math at my school for the past few semesters, and it has made a world of difference on how I approach problems and new concepts. Tutoring other students helps keep me sharp, and prevents me from forgetting certain math skills that might not get used as often. Also, it gives me greater motivation to truly learn each concept in depth so that I can better explain it to students who may need help. Plus it's fun! Super helpful video, keep up the good work.
@user-pn4lj8mi2j6 жыл бұрын
The secret in mastering math lies in patience. If you have a difficult math Problem to solve, try your best , even if it may take you hours, days or weeks. Solve it yourself. Math forces you to think for a long and exhausting time. I myself Need sometimes hours, days or even weeks till i manage to solve a math problem. And when you are really exhausted, tired and want to quit, there appears a stark of a brillant idea, the missing piece, which lets you See the beauty of math.
@abhishekrnath65606 жыл бұрын
That's good advice
@martiny17855 жыл бұрын
exactly, that's the beauty of mathematics
@josh12345678925 жыл бұрын
I love math. It frustrates the hell out of me sometimes but when I finally understand a concept that I've been struggling with, it gives me pure satisfaction.
@martiny17855 жыл бұрын
@@josh1234567892 don't give up man!!! That's the spirit!!!
@buckeye-pe6df5 жыл бұрын
If it's taking you weeks to solve one math problem...I think it's time to move on..
@aldomartin29925 жыл бұрын
The highest level of math I took in high school was algebra. I somehow placed into Calc 2. I am now teaching myself precalc and Calc 1 so I can keep up with my physics and astrophysics classes
@jarretrausch5 жыл бұрын
aldo martin why tf would u think it’s a good idea to skip calc 1?
@dognip4 жыл бұрын
I got good at math because of my mom. She helped me solving problems when I was little and encouraged me. Solving problems gave me satisfaction so I liked it. Now I am on my own.
@evanschmitz3056 жыл бұрын
“What do you do?” *Kevin Malone voice* “I do the numbers.”
@no-body-nobody4 жыл бұрын
never forget Ryan started the fire rip cheesy pita
@raskaalaska25484 жыл бұрын
RIP Sour Lemon Milk
@justinscheidler59385 жыл бұрын
You hit the nail on the head. Teaching/explaining concepts to others is by far the best way to understand something. I didn't fully comprehend basic frikin limits until I helped someone study for a test years after hs. Then mind blow happened and started understanding all of it.
@thenextshenanigantownandth43936 жыл бұрын
We do live in a society. Jesus...
@pendragon76005 жыл бұрын
BOTTOM TEXT
@noteskeep43074 жыл бұрын
What I think he meant to imply is that we luve in a society where math is important. Like really important because every thing we have is brought to you by math.
@Medumex6 жыл бұрын
This video is a confidence booster. I'm in algebra and I'm a first year physics major. Oof.
@marioroman58346 жыл бұрын
bro I almost failed geometry , but I placed into calc for my first. Don't every doubt yourself. But good luck for calc 3 lol
@devins10016 жыл бұрын
Don’t let that ever hold you back, even when you start studying things that seem impossibly hard. Those things will become easier in time. I knew I wanted to be a physics major and I left hs with not even a pre algebra understanding of math. I worked very hard and now I am a top student in my math and physics courses(: best of luck!
@matthewzarate91166 жыл бұрын
I started out in algebra and now I’m finishing up multivariable calc! We can dooo itttt
@cdsmetalhead996 жыл бұрын
Abstract algebra?
@rebeccaince90606 жыл бұрын
me too ahaha, God is good though- we can do it!!
@kaisu81986 жыл бұрын
As a high school student, I found this video highly informative. Thank you!
@mimi-xw5se5 жыл бұрын
This gave me so much confidence... I scored in algebra too now I know I can get to calculus just like you thank you
@TheSullyLad4 жыл бұрын
Learning not to be afraid of equations. Play with them, plug in numbers, see what happens. Really help me.
@chonchjohnch5 жыл бұрын
I just started watching a lot of math KZbin content and found the things I was really interested in and used them as an entry point. I’m now almost done with a math minor
@mayabenowitz67296 жыл бұрын
As an undergrad, you learn how to answer questions by solving *well-defined* problems. As a post-graduate, you learn how to ask *new* questions, formulate them into well-defined problems, and solve them independently. The former requires hard-work and intellectual horsepower while the latter requires hard-work, intellectual horsepower, AND creativity. With that being said, I think it is integral to take time from problem-solving and set it aside for play. After all, math is supposed to be fun!
@benhallo15538 ай бұрын
Beautifully put
@lagrangiankid3785 жыл бұрын
Actually I started getting better at math when I started using amphetamines. But I don't think there is a correlation between the two events.
@VinylUnboxings5 жыл бұрын
Well it sounds like there is a correlation, but it might not be causative. But it probably helped.
@epajarjestys99815 жыл бұрын
I tried speed the other day, and it just fucks my thinking. Makes me very enthusiastic and feeling so clear-headed and intelligent for a while until I notice that somehow my thinking is in fact severely impaired when trying to actually solve any problems. Maybe it does work for some people, like Erdős. Not sure about that. They might be deluded by this chemically-induced enthusiasm and just _feel_ more intelligent.
@epajarjestys99815 жыл бұрын
@VinylUnboxings If it helped then that's causative. Duh!
@VinylUnboxings5 жыл бұрын
@@epajarjestys9981 Not sure what you're trying to say- I said it MIGHT be causative, and that it PROBABLY helped, are you trying to say that's a contradiction?
@epajarjestys99815 жыл бұрын
@@VinylUnboxings No, you said that it might NOT be causative, BUT it probably helped. Of course, neither of the two sentences _"It might be causative"_ or "It might *not* be causative" (which can be considered to be logically equivalent) stand in direct contradiction to the sentence _"it probably helped"._ However, the way you concatenated these last two sentences: _"... it might not be causative. But it probably helped",_ can give the impression that there is a possibility that it might not be causative, but yet at the same time still helped, which would be a contradiction. Not sure if you are a robot who does not understand how natural language works or just dishonest and pretending to be one. I believe it is the latter. In either case: Fuck you, you worthless piece of shit.
@kanadmainkar46016 жыл бұрын
I was average at math until 4th grade and then I applied for a competitive math exam in 5th standard for which I studied from a different source and I suddenly started understanding it and math became fun. Now I'm pretty good at it and going to pursue an undergraduate degree in physics next year. P. S: I was first
@nathandaniel54516 жыл бұрын
I was average at math at up until year 7, then I started flying through math until year 10-11 where I was about average (in the top class of the school however). I then sat down for a whole month at the start of this year doing about 8-9+ hours of maths a day. ( I'd get up early and study ALL day, I don't get burnt out and I strive to understand rather than memorize so I don't forget as easily what I'm doing) I worked through Stewart's calculus chapters 1-11 (essentially calc 1 and 2) as well as the whole maths curriculum for year 11 and 12. I went from being average to top of the school. I'm in year 12 now, by the end I would have done Calc 3, ODE'S and linear algebra.
@nathandaniel54516 жыл бұрын
Point is, I waaay surpassed people way more talented than me. Talent doesn't take you far, dedication and obsession can take you miles. I calculated that I can finish an entire physics degree worth of physics and math classes by the end of next year. Wish me luck, I hope you will one day stop letting yourself be spoonfed an education and push yourself beyond what is possible.
@berserker88846 жыл бұрын
@@nathandaniel5451 Amazing! I myself found Stewart's book too "unmathy" after two or three chapters and went for Spivak instead, which has been the right decision in my own opinion, but for that same reason I still haven't gotten past the calc1 level(the book is an absolute monster in terms of difficulty for a self studying highschool student) and I am getting deeper and deeper into pure mathy stuff like topology, graph theory, abstract algebra, etc. Just started the first year of math undergrad two weeks ago. To solidify your point, it has taken me great deal of work and hitting the wall with my head for hours to get to the point where I can prove big theorems on my own before seeing the formal proofs, i.e. I try to be constantly ahead of the game and proving every major theorem myself, because I consider seeing it, before I struggle with it, a spoiler.
@nathandaniel54516 жыл бұрын
@@berserker8884 That's really cool, I considered Spivak. I try to figure things out before I get to them however in probably a less rigorous way. Ex. "Ooh next section is on surface area, let's try to derive it before I even see the actual formula, before I start the section". After I finish all the undergrad physics texts, I might get into real analysis and then some more pure mathy subjects before I start some higher level physics texts. The thing is, people vastly underestimate what people can accomplish, including themselves. For example, my goal seems far fetched for a lot of people but it's more than doable, even for someone like me who I think might actually have some sort of learning disability.
@berserker88846 жыл бұрын
@@nathandaniel5451 awesome to hear such positivity! Today I had a rough depressing day with almost zero productivity, but your comment made me at least push myself a bit to work, so at least I did something today and you motivated me! Keep at it brother, may we all become masters of our crafts one day through hard work, determination, curiosity and a pinch of luck.
@SerbAtheist6 жыл бұрын
For me the biggest thing was realizing that math is iterative! You NEED A to be able to do B, and you NEED B to be able to do C. This means you can't afford to skip steps. At all! This is literally the biggest mistake people make. Instead of solidifying themselves, they power through the next thing, and then they wonder why they struggle in Calculus 2, when they haven't fully mastered Calculus 1. And then they end up stressing out and ultimately hating math or physics. If you're struggling in an area, GO BACK! See the key skills required and ask yourself honestly if you have them. Go back to Elementary School algebra if you have to. There is absolutely no shame in that. Then SOLVE PROBLEMS. Repeatedly. How do you know you've mastered an area? Simple: if you can solve any given problem from this area confidently and comfortably given nothing but a pencil and an empty piece of paper. If you can't, you're not there yet.
@BlockOfRed5 жыл бұрын
Well, there are problems that can't be solved analytically :D
@gamerdio25035 жыл бұрын
sin(26.810 degrees). Can't do it with only paper and pencil? Sorry, go back to trig class
@BlockOfRed5 жыл бұрын
@@gamerdio2503 Well, we could do an approximate: sin(0°) = 0 and sin(90°) = 1, we can approximate the values in between linearly, thus sin(x) ≈ x/90. So for sin(26.81) we roughly get sin(26.81) ≈ 26.81/90 = 30/90 = 1/3 ≈ 0.33 So we get the approximate sin(26.81) ≈ 0.33. But this is far away from computing the result analytically. You can do better approximates using 2nd or 3rd order Taylor approximations (which can be computed by hand), but this should work out quite well.
@BlockOfRed5 жыл бұрын
Quickly checked using a calculator: The true values lies around sin(26.81) ≈ 0.45, so an error of -0.12 might be okay given that I've approximated sin with a linear function 😅
@gamerdio25035 жыл бұрын
@@BlockOfRed Sorry, but that's only an approximate answer. Its not the true answer. You haven't learned trig /s
@TheScienceGuy103 жыл бұрын
My constant exposure is watching every Flammable Maths video and doing thr questions with him.
@danielbrantley6158 Жыл бұрын
Thank you so much bro for the channel! I switched from a History major to Applied Physics last year, (don’t ask me why I initially chose History) and got a reality check when I discovered how much math is an integral part of high science. Your vids have inspired me though to continue working hard, currently in Calc 1 but excited to continue on to the end!
@sionsmedia82492 жыл бұрын
A method which really helped me to understand new topics, is to see and intuit how it is connected to something I already understand.
@FN-rl2ku4 жыл бұрын
Consistent effort. Setting a goal. Not forcing myself (that has opposite reaction for me), more like dreaming and letting that dream inspire me. And mostly, because I enjoy it. Oh and holding myself accountable by doing statistics of learning - keeping track of hours and pages. I have this huge paper that has week, number of pages, topics ans number of done pages in textbooks. I track the hours in my planner. When I see I did above than average workload that week, it motivates me.
@monica-ww8gi6 жыл бұрын
watching lectures on youtube like prof. Leonard really helped tremendously just because he is a perfect example of a math prof that teaches you the fundamentals but not in a rushed manner and I really appreciated that because not a lot of prof in college like to take time, everything is rushed in class :/
@akivas20346 жыл бұрын
As a high school student, I’m glad that you finally made a video I can understand :)
@Scott215 жыл бұрын
I found it easiest to recognize patterns, with constant exposure. The thing I took from you after seeing your videos is that if your problem isn't working out then one of my initial assumptions is probably wrong. It is immensely helpful. You're awesome
@CreeperWhoCriedTNT6 жыл бұрын
The most important factor for me was finding a passion for the subject!
@greymccarthy34664 жыл бұрын
If you do things wrong enough you actually learn a lot and going down different wrong paths to eventually find the right one I think is how you really start to get good at math. As you get further in math you really are looking for patterns, it is like playing a board game you have to learn the rules apply them in the correct manor but also you have to think in a creative way when you apply those rules so you can win at the game. It is not enough to know the rules but you have to know how to manipulate them
@kman76814 жыл бұрын
This actually makes me feel extremely comfortable with my future academic goals. I'm a rising senior in highschool taking precalculus next year and to say the least math isn't my best subject.
@NinjaVsBear964 жыл бұрын
If I’m not interested in the subject well then I just have the mindset that I’m wasting my time (probably a huge flaw of mine), but if I’m interested in the subject you can bet I’m definitely going to give it my all in trying to grasp it. Math/physics is what interests me, so I get good at it because I want to get good at it. And then previously failing at understanding something that I want to understand is just another motivator to actually try and acquire that knowledge. Example, I was supposed to learn Riemann sums 5 years ago, but I just let them intimidate me back then and didn’t put in the work to learn them because I just didn’t care. But after going back last week and being like “Hey, I actually want to know how these things work” I put in the time and now I actually understand how they work.
@doodelay5 жыл бұрын
When I realized that all theorems, derivations, and theories in any field of study be they political science, economics or physics, are found entirely from reasoning up from the definitions and axioms of a thing, my thinking became much more crisp and precise and that same week I was able to carry out proofs independent of guidance. I notice that EVERY interesting conclusion is just some implication of some set of axioms or definition. When facing a problem, ask yourself always, "what is a vector," "what is tangent?" "what is a force" or "what is angular momentum" hell even ask sometimes "what is height?" it's y = mx + b, so rewrite the thing in terms of x if necessary. But no matter what you do always go back to the definition of the thing and you cannot go wrong if the definition is understood.
@mrborat24934 жыл бұрын
The first principles
@leafyischris82425 жыл бұрын
For me as a highschool senior learning calc on my own , I found the best way I got better is by both practice and asking hard questions that relates to what's at hand. I found it takes me alot towards fundamentally understanding the theory and proofs behind what I'm working on which ultimately translates to the practice problems. Never be afraid to go off and explore a idea that just pops into your head while you just got done doing a proof , because ultimately that's where I found most of my learning was done , because you either end up reinforcing what you already know but in terms that you wrote down yourself which I found makes your understanding even greater , or end up with contradictions, potential mistakes, ect. Which only makes you ask more and more questions , thus making you learn more! Hope that helps!
@donati8806 жыл бұрын
Excuse me, what is math?
@AndrewDotsonvideos6 жыл бұрын
*meth
@metamorph52865 жыл бұрын
Hahah just thought about the song Excuse me by Nothing but thieves. Insert that falsetto after your question.
@ДімаКрасько-с7м5 жыл бұрын
nice question, mr Newton)
@GenesisRussell-jt2rp5 жыл бұрын
THE FUTURE IS NOW OLD MAN
@shayanmoosavi91395 жыл бұрын
Says someone who invented calculus😂😂😂
@wave50093 жыл бұрын
"Its easier when you have to get better", thats so true, learned that with my accounting class. Started off with a 47 F, worked my butt off and finished the semester with a 93 A
@kote18923 жыл бұрын
Oh my god, you have no idea how badly I needed to hear your experience. I'm a first semester college student double majoring in physics and mathematics and I'm also starting from algebra II.
@garvett66604 жыл бұрын
The last one, about explaining math to somebody, there’s a problem - nobody would listen to me. Nobody in my class is as much into math as I am.
@ahuman65464 жыл бұрын
Relate
@jamieg24275 жыл бұрын
This video is SO key, in particular the issue of deciding what problems to do. In some textbooks, there are SO MANY problems and while there is value in grinding out a ton for the sake of fluency, that should be what you do AFTER you've exposed yourself the the important types of problems in the chapter.
@jessstuart74954 жыл бұрын
Walking through derivations of formulas and theorems line by line, while somewhat time-consuming (painful), really helps solidify my understanding of math concepts. I think I'm just inherently distrustful by nature, and want to understand HOW everything works before I start using it to solve problems.
@adriencastella49923 жыл бұрын
Haha I got good at Math by studying it for 3 years non-stop and taking extra courses. Honestly at the beginning, things such as Analysis 1 felt quite hard, but by just never stopping and always discussing the solutions with my friends I got better at it without even realising it. When I look back at the exercises I struggled with back in those days, I can't help but laugh at myself a little. Sometimes because your studies grow in difficulty as you grow and improve you fail to see the huge amount of improvement you've made.
@jonathansmith46345 жыл бұрын
It seemed like I was the only one who didn't have a difficult time in my math courses. I think I know why, but I'm just speculating. For one, I've self studied so much math and science that before I even take the course I've already learned around 50% of the information already. Secondly, I think a lot of students may be trying to memorize the material rather than actually understanding how it works. Memorization is short term. Learning is long term. Not to mention that learning is a hell of a lot easier than trying to memorize a bunch of information.
@prabhdensingh87405 жыл бұрын
How I got good at maths: I had an amazing teacher last year who would explain everything in detail and marked our books regularly and told us what to work on. He taught us things in so much details that we were sometimes doing A levels stuff (This is in England). He made us practice a lot of algebra which helped too
@michaelovadiyah6594 жыл бұрын
I recently taught myself calculus and now physics at age 35.
@nyashia77673 жыл бұрын
Congrats !!!
@Maisonier3 жыл бұрын
how
@puddleduck14052 жыл бұрын
niceee!
@kevinruppert35225 жыл бұрын
I completely agree with the necessity part. I took enriched physics in 9th grade which required us to know trigonometry. Had no idea what the hell Sin and Cos were until I took that class, and I was bit slow at first, but when it clicked in my head I was getting As on all the calculation problems. I considered physics to be the fun math class.
@kaga136 жыл бұрын
Getting lots of different sources of information about the same subject is key I think. I have like 5 or 7 e&m books now that I can pull methods from and they all come together to fill in gaps in understanding. Also, looking at other people's solutions and examining their assumptions, their methods, filling in gaps where they made steps and performing mathematical cleanup duty really drives forward your exposure to the patterns that show up in problems.
@2inthemorning5 жыл бұрын
I got better at math by finding little, interesting ideas and exploring them. I would often try to make an interactive graph on Desmos, which helped me get the idea solidly in my head.
@MelvinKoopmans5 жыл бұрын
Searching for multiple explanations is really good advice.. I tend to do this too, looking at the same problem from multiple angles until everything eventually starts to sing. Didn't Feynman say something of the following "Good physicists know at least a several different ways of describing the same phenomena... Each can have completely different philosophical implications, though..". Guess that is true for understanding things in general.. Abstracting away the underlying principles and being able to concretise into different "shapes". That's essentially what you need to do when you teach someone! You need to understand their way of thinking and find some of the things they already know, then find associations between the thing you're trying to teach and what they already understand. Great video! :)
@kingarth0r5 жыл бұрын
For me it was just never stop doing math. It’s very easy to forget stuff so keep reviewing and keep exposing yourself to it. I’ve done lots of summer courses and now I have a very menacing transcript just because I never stopped. An object in motion should stay in motion.
@pianistleuwu5 жыл бұрын
Beginning: Hey what's going on SMART people Me: I'm just gonna head back to doing my dumb stuff
@b3stbuddy4 жыл бұрын
At 3:30 where you talk about reading from different sources, in my experience, that is exactly what I found to be true! Year after year I would be stuck at the same point, I don't know how or why but I sat down and looked at the same thing from two different books and it "clicked", it was amazing! After that, I use that technique all the time!
@BroadConcept5 жыл бұрын
I failed alegbra TWICE when I began college, now I am in my final semester finishing a differential equations class. If you don't like the idea of never penetrating the alien symbols that math can seem to the uninitiated, then don't get discouraged no matter how "bad" at math you are. You probably will never feel that you are "good" at math because a) in college you realize how many people are smarter than you are b) the problems always get more difficult, BUT you will be much better than you were before and honestly it is worth it.
@noteskeep43074 жыл бұрын
I thought this video was going to be satirical, but I like the advice you give. I hope people who say they don't like math will have enough confidence to take the advice you give to heart and an open enough nind to follow it. Thank you for making this video, I think more people need to hear your message.
@esra_erimez5 жыл бұрын
This really helped me remove my nostril hair more effectively. Thank you.
@Nina-rp8df5 жыл бұрын
Got good at math by necessity...HAD to know it for engineering. I was average at math in high school. Definitely the constant exposure and the need to know (and wanting to know) that helped the most.
@GunsNbeeR6 жыл бұрын
My guy your videos are priceless for an engineering student like myself. I was wondering, could you do a video on deriving the formulas for circular motion (vector method)?
@bluedemonian6 жыл бұрын
Chemistry student here. What u just said pretty much applies to every "pure" science, chemistry, math, physics. I just felt identified with what u said about learning something by teaching it.
@hishamhabli38765 жыл бұрын
I’m already pretty good at math and I agree with part of it. I think that looking at patterns in problems really helps. We are all good at identifying patterns. We have to make it logically make sense in our head. That’s why asking for different opinions or ways of explaining math helps.
@ashlynreeves69575 жыл бұрын
Seeing your positivity talking about math really made me feel hopeful. I always tell myself I’m bad at math, so maybe I just need positive self encouragement. ☺️
@chikara90995 жыл бұрын
The thing that hooked me in maths is that it builds upon itself,that very pleasure of using your previous learning in your current study and how these pattern recognition can be used for amazing stuffs in real life is what drives the curiosity and inspiration to keep learning and foremost PRACTISE,but it's not blind practice,after you solve a problem,try to see if there's any better and more efficient solution for it,it's fun(Atleast for me),and it u made any mistake try to think why u made that mistake and verify if u have any conceptual mistake and then rectify it.Advices from fellow grade 10 noob.
@corbinwilson37812 жыл бұрын
You have to love it. You have to find the challenges inspiring, and you have to want to learn more.
@Linarom246 жыл бұрын
Thank you for this video. I am currently taking AP Calc AB. Sometimes, I struggle a bit when the teacher dictates the number quickly, as english is not my first language. However, whenever I don’t understand a concept/problem, I search through a few sources (Khan Academy, textbooks, and KZbin) :)
@joshs30455 жыл бұрын
thank you , i am in high school, and i always thought i was OK at math, but i could never excel, this has helped me to do just that . again... thank you.
@suhbremegunner52566 жыл бұрын
Tysm for making this. It's amazing how far you've come from testing into algebra and I'm worrying about taking calculus before I graduate highschool.
@SomeGod6 жыл бұрын
You just perfectly weave helpful advice and meme shit posting together, don't you? That super saiyan 3 line really hit me good😂
@godiswatching_8956 жыл бұрын
Friends: What do you wanna be for Halloween? Me: Integral of Sqrt(tanx) Even though I don't think I have to start from algebra in school, I still don't think I'm actually good enough at it when I see some calc 2 integration problems. Those really make me question myself, what I've really learnt, and whether I can EVER actually do one of these whack ass problems if I come across them randomly. P.S. Great video as always :] Really appreciate the videos ( both meme ones and the helpful ones ).
@davidhoopsfan6 жыл бұрын
that integral is 3spooky5me
@Goku17yen6 жыл бұрын
420spooky69me
@cdsmetalhead996 жыл бұрын
Just put the integral into wolfram alpha
@dwarfyman48996 жыл бұрын
That last tip is gold. If you’re in highschool, see if you can help someone who is struggling with math homework by explaining it to them. You’ll never forget the concept after that.
@renatoh.santosdasilva30805 жыл бұрын
I really relate to this because it worked that way for me too. O igot in college in March and I couldn't even sum fractions, now I'm in my second semester and doing Calculus II and Physics I.
@eloiteles35785 жыл бұрын
That is one characteristic to think about and admire in Americans. From high school algebra and prinstat to Quantum mechanics. Bravo sir! I was part of a 10h/week math, sciences and/or classical languages(ancient Latin and Greek) with an extracurricular economics option in high school. We went fairly deep in mathematics... Yet, No one dared touching Physics at university (in Belgium). As a matter of fact there is a huge shortage of physics masters (let alone PhD) in Belgium. Most who want to try physics go to what is called "theoretical engineering" school (largely for financial reasons).
@ev3rything4915 жыл бұрын
I agree with your view of what makes you "good at math". To me though, I've noticed that the most crucial part of maintaining a life-long interest in math is to develop a general view on math which motivates mathematical inquiry. During my years as student I've always had an aesthetic outlook on math. To me, the beauty and the variety of emotions evoked by problem-posing, conjecturing and proving has always been an essential part of my motivation of eventually "getting good". In summary, before one even tries to "get good" one should ask: "Why am I even doing this?" My answer will always be: "because the beauty of it."
@jorgesowi5 жыл бұрын
So, yeah, as you really well pointed out. Indeed, even if it doesn’t look like. The truth is, and you should get ready for this: that we, yes we do, live in a society.
@harnarius5 жыл бұрын
Something I find really useful is tutoring to younger people. I’m in college taking systems of differential equations and there’s no way I could tutor other people in my class because I’m still learning the content myself. However, I am a tutor for high school students because I’m familiar and comfortable with the topics they’re learning. Not only does this help them, it serves as a really nice refresher on the basics for me and has helped me become better at math. Even if you’re in high school, struggling with Algebra II or something, you may find that helping middle school students, for instance, may help you practice the basics and increase your confidence in your abilities. Just some food for thought.
@mgominasian92066 жыл бұрын
we need book review video
@ahmadtarek77635 жыл бұрын
Nice advice , I will add to what you said about solving problems , I usually do half of the first half of problems and two thirds of the second half ( usually where the "fun" ones are ) helps avoid repetition too much .
@pushingpositivity5185 жыл бұрын
I got good at math by practicing it everyday, reaching out for help when i need it an taking advice from people who are just overall better at math than i am.
@wamyarabel12882 жыл бұрын
Yes the high school students needed this. Thank's.
@jacobvillasana9624 Жыл бұрын
I'm entering my third year of physics, and my advice for someone struggling with math is to spend a time to understand the theory behind a given math problem; If I'm struggling to solve a problem, I go back to the relevant section of the textbook and I just go over it until I understand what approach will work, sometimes you analyze a solution to a related or different problem and find inspiration for the problem you're working on. I also resonate with what Andrew says about picking problems to practice with, my first-year foundations of physics prof told me that it's better to pick a few hard problems and really understand them.
@anirbanroychowdhury50806 жыл бұрын
I don't have anyone to explain it to, so i often just say everything that comes to mind aloud, and try anything that seems feasible. Ive found saying it aloud helps quite a bit.
@anthonyp31135 жыл бұрын
Not a physics major and I stopped taking Electrical Engineering at Tidewater Community College and your videos have been popping up over the passed year and I had no idea you are/were at ODU! Pretty neat stuff man and you have some great videos!
@optimizedpran12474 жыл бұрын
3:09 "And your professor has the assumption that if you can solve the n = 2 case, you can solve the arbitrary n case" This hits so hard. A lot of your homework assignments for math classes will be like 3 problems and you'll get similar/harder problems on the test... life goes on.
@greatloverofmusic13 жыл бұрын
Great advice. I have no fewer than 8 (yes 8) textbooks on Real Analysis. The various paths to correct proofs are the only way I was able to "get good at" (yeah right) proving the important topics. Thanks for the video & Cheers
@rivergovin40676 жыл бұрын
How I got good at math: 1. I truly enjoy learning about it, so I study for understanding first and practice problems after. Some people dive on into problems without understanding the mechanics and reasoning behind every step. You just become a manipulater of numbers and operations, and that will only get you so far. Probably stops working at Calc 3. 2. I'm a math and physics tutor at my college, so everyday I'm faced to explain all types of math. Ranging from basic algebra all the way to differential equations. Hence, constant exposure along with necessity as Andrew stated.
@singularity-4 жыл бұрын
"Read it from somewhere else" yes. Definitely helps, in my experience. Also exaplaining it to someone else. I always find where holes in my underatanding are if I start stumbling when trying to explain it to someone else.
@therandomguy995 жыл бұрын
I took a general physics tutors job at school. It helped me fill in those gaps of knowledge that I missed during those semesters.
@myname-pe2pe6 жыл бұрын
dude you basically just described me when describing yourself, highest I took was Pre-clac, couldn't do Calc till semester 3, still suck at math, and realizing that I need to practice....you're basically me from the future
@educatedguess13314 жыл бұрын
5:23-5:24, "we live in a society" Immaculate, outstanding. Take this from someone who failed high school math courses, SAT failure, scraped into college, now lucky enough to be transferring to Harvard to study physics and math. I got "decent" at math by drilling problems from old various calculus and algebra books i got from my neighbor who passed (engineer, so a lot of good material collecting dust). I was put into physics 1 (algebra based) where the prof was my advisor, he loved teaching so much, on the side, we would work out the calculus behind the physics instead of algebra (so long as on exams i used algebra to solve them and not calc) I was in pre-calc at the time, took a test and got a shove into calc-2 and excelled, now in physics 2 online, labs suck but i use Griffiths like a bible. Ive almost done all the examples in Griffiths "intro to E&M". I have struggled a ton in the past, im illiterate, cant speak much or well, cant think quick, but now, i can do math problems like nothing for the most part of it. I also downloaded some physics textbooks online from free pdf sites and drilled those problems hardcore, but make sure you understand what is really going on. You can read pop-sci books and know everything ab black holes, or read a book on tensor calc, but drill the problems. (Especially schaums) deff spelled that wrong, the fuckin practice books Andrew talks ab yk the ones. But go at them, seek help all when you need, Chegg is also your friend, (fuck bartalby or yahoo answers), but In my case, for two years straight, during covid, online, with three lab sciences at once drill and drill, but understand what you are doing is more important.
@ThevenimX5 жыл бұрын
I knew all of this but didnt have the words to explain it to others. Thank you
@Jamyaevans75 жыл бұрын
I'm watching videos on how to get good at math rather than practicing
@gflow83575 жыл бұрын
I'm almost done with my math PhD and I'm still not good at math...
@Mohabpiano5 жыл бұрын
@teawsome 123 that you probably infinitely suck at math
@RealDukeOfEarl5 жыл бұрын
I recommend being okay but convincing yourself and everyone around you that you're brilliant. It's not an ideal strategy, and in some contexts it can be fatal, but, and it's a big but, big butts are a sign of a smoker trying to quit.
@ethan_martin5 жыл бұрын
what's your research?
@parimalarenga925 жыл бұрын
@@ethan_martin yeah ask him ?
@jacobharris58944 жыл бұрын
Your probably just at such a high level that you are more aware of your mathematical shortcomings than most people.
@saulberardo58265 жыл бұрын
Really thanks for sharing with the world!!! About to finish Axler's "L. A. D. Right" and Pinter's "A book on Abstract A." (after hopelessly struggling with baby Rudin for a month) and these tips will be seriously taken into consideration
@datsmydab-minecraft-and-mo56664 жыл бұрын
For me the way I got much better at math was not just understanding the concept very well in one way, but understanding the concept really well in many different ways. For instance if you are solving a least-square problem, there are more than 6-7 ways to solve it- perhaps more. So I get really familiar with all the cases. If it's a more general concept, understand it's different proofs, the algebraic proof, a geometric one, and others.
@isaaccollins86436 жыл бұрын
OMG this video was super helpful thank you so much Andrew!! So far I have seen major improvements in myself just by reviewing and doing math problems. Thank you a lot!!! Great video!
@johng76026 жыл бұрын
In my experience, the only way to get good at math is to become as a visual person as possible. As you get more and more visual, when you go to bed, and you can just start seeing the problems in your head. This way helps me to understand math and physics. Especially when I’m studying relativity by myself.
@KevinS476 жыл бұрын
5:20 haha was expecting some motivational crap with regards to how we all live together and we help each other..BS..BS....BS lol For me: if it wasn't going to be Physics it would have gone for Mathematics, so I was already very passionate about both. I forced myself to learn and understand things in depth ALL the time. e.g. if I was given the taylor polynomial to use, I would have asked the professor (after class) how to prove it formally and rigorously, but also where it came from or whatever. So my tip: ask yourself as many questions as you can about that specific topic; NOTHING is for granted.