Mathematics Is All Around Us

[@Fadic4]

Dad” what time is your flight” Me “10” Dad” be there at 4”

[@wisherwatch]

I'm ded

[@Vylphix]

Be there at 4... The month before

[@forgotaboutbre]

I have a masters in Data Science and I still learn stuff every day from this guy. I'm really grateful for content like this that helps me to formalize my knowledge.

[@berserker8884]

Did you ever consider making a video on mathematical beauty and how mathematicians view it? Mostly people just complain about math, but they never struggled to prove sth, they never tried to find a pattern, they never struggled to derive sth. When you start learning real deal math, you see just how solid it is, how beautiful it is to write solid proofs, how amazing it is to have insights, etc. I came to understand that usually noone understands what im talkig about. When I talk to my friends about it they think im crazy or sth lol, so I wish someone like you would make a video or sth explaining the true meaning of real math.

[@nhhnathan3]

Berserker yesssssss! I second this to a billion!!! I find interest in the intersection between beauty and mathematics

[@Fysiker]

Berserker Would Linear Algebra qualify as "real deal math"? I'm much more interested in math than anyone I know, so I think I can relate to this comment.

[@berserker8884]

Jakob Bergstedt ofc it would, why wouldn't it?

[@Fysiker]

Berserker There are some crazy high level maths out there. My book says in the beginning it is meant for undergraduates. Surely graduate level math can get on a much higher level. I had no context for what you meant by high level math, so this gave me a better idea.

[@berserker8884]

Jakob Bergstedt I didn't really mean higher math, but rather any mathematics. The thing is that rarely do people know how math is structured, how it works, why it works, why do we say its beautiful and so on. I myself find math beautiful and amazing only after having worked through numerous difficult problems that forced me to think outside of the box and understand it very well, the byproduct of it was that I loved the structure of it all, it is beautiful, i loved the proofs flowing like a river slowly building on the theorem, it is truly beautiful. I often compare math to a tree. A tree that is very strong and every idea is strongly deducted from the previous theorems/axioms. When dealing with very difficult problems you start to realise deeper connections in the tree and you start to respect mathematicians way more. I found all that only through hard work on real analysis, but I would love it if someone could explain this better and put it in a video or podcast

[@magicflour]

MajorPrep I'm extremely glad your channel is growing. I subbed when you had very few subs :)

[@zachstar]

Thanks for sticking around! Yeah it's awesome seeing the channel grow and can't wait to see where it goes. Hope you enjoy everything to come :)

[@victorgomez6330]

Me too! Subbed when he had 810K, time sure does fly

[@imgamerful]

@@zachstar This channel is doing well now

[@swapnil8773]

@@zachstar Congratulations for 1 million subscribers 🎉

[@JakeVoorhees]

Love this slightly different style of video topic for you Zach :) seems like people love it. One thing I look at a lot is striving to make videos around videos that are already popular on my channel, for example how my engineering vs architecture one as risen to the #2 highest performing video. Your math related ones are crushing it!!!!! Thanks again, I will get you that grad school video at some point man :)

[@worshond-gv8ck]

You two collaborating on a video would be amazing

[@zachstar]

Thanks Jake! Yeah it's awesome that even though there are a lot of engineers out there, people are interested in the math videos as well. But yeah definitely good to keep doing what's working. And Dylan don't worry we definitely will at some point!

[@JakeVoorhees]

Yeah I just need to make it happen lol I commit to too much stuff and it's hard to make it all work + while spending 40 hours a week at an engineering firm :) More soon, thanks again for all your help Zach, and the opportunity to collab. Really appreciate you man!

[@zackary-z]

MajorPrep- can you please make a video specifically on each of the four categories of math?... I found that concept very interesting

[@Fadic4]

How the hell do you only have 32k subscribers

[@JakeVoorhees]

This channel is going to 100k and far beyond. MajorPrep is dedicated to helping young engineers / STEMers / college students all over. He's a great guy too!

[@isaacandrewdixon]

256k subs now! You guys are right, this channel is really helpful. Stem enthusiasts will take over the world.

[@kanikapandey4252]

Bro you yourself have only 65 subscribers. He has 500 times( approx) more subscriber than you.

[@MagnusAnand]

Fortunately the injustice has been corrected

[@obladioblada6932]

630k now.

[@physics.ishan5566]

Actually he should has been said that physics is all around us on the title and should show the physics. Mathematics is just a good which helps us to understand the physics around us. Also math itself is not reality. It just expresses it.

[@Aniket7172]

i absolutely adore these kinds of videos. Mathematics is one of the greatest tools we have and it's beauty is something everyone should be able to admire

[@anymaths]

watch my mathematics videos.

[@neuralink7018]

language is also one of the greatest beauties we will ever have, and it's its* beauty. /lh /s /nm

[@mozammilhasan4212]

Aaah ! This is one of the great videos I have ever seen, thank you dear ! :-)

[@Avighna]

I've always liked math, but never actually been able to answer the question 'when will this help me?' when others ask me. I don't like school math either, and mainly just do extra stuff, but now I can finally answer that question by sending this video! By the way, almost all my maths falls under 'tedious and boring' to 'tedious and eh', and I was surprisingly only able to answer one question in this video (law of huge numbers). Anyway, this has really widened my viewpoints; I'll definitely read that book because I loved these problems! Thank you for making this video!

[@MyName-qb1yz]

Can't understand fools that say " I won't need algebra in my life "

[@pongangelo2048]

I won't need algebra in my life

[@user-wy8ki2ef1m]

Yes Name can’t understand you, fool.

[@geetanjalitewari9930]

What are u gonna say in normal conversation. ..u know what zer is 5 times younger than her mother after 10 yrs they will be 4 times younger tell his current age??? I mean wht

[@HelloWorld-dq5pn]

@@pongangelo2048 dude, if you dont know math today, you are not a smart guy then

[@pongangelo2048]

@@HelloWorld-dq5pn dude, if you dont know sarcasm today, you are not a smart guy then.

[@darint07]

I liked what you said about flipping quarters so much I decided to write a program and run the test. So far it's played 1.5 million times and hasn't won. I will comment the number of "games" it takes to get heads at least 80 out of a 100 times.Great video. Subscribed!

[@zachstar]

Thanks for the sub and comment! I'm very curious how long it takes to get it. Are you keeping track of the highest number of heads as it keeps running? I'm curious how high it got within a million runs.

[@darint07]

MajorPrep I'm sorry I didn't log enough information. I only have it showing the game number while a win(heads>=80) == false). I'd stop it and re run it, but it's at 17.3 million.

[@ck88777]

What kind of jobs can people with degrees in pure mathematics expect to work besides those in academia?

[@zachstar]

It's possible to get work in industry or at a government lab but it's often more on the "applied math" side if that is the case. I talk a little about that in my "math major" videos.

[@ck88777]

Wow, that was a fast response. I actually watched your "Math Major pt.1" just before watching this and that's what got me wondering. Great videos by the way.

[@zachstar]

Oh awesome! Part 2 is where I discuss the careers a little. But thank you for the comment!

[@sadhanabrataroy9117]

I have been following your videos for a Long time but didn't subcribe it. I saw this video and I was mesmerized by your content and thereafter I went through all your video and I came to realize that I having not subscribed it now is the greatest blunder. Amazing content, Will recommend it to all my friends. You deserve more views and subscribers than all those Vloggers and Cringe creators.

[@zachstar]

Thank you so much for the comment! Really appreciate the kind words and glad you enjoy the content :)

[@sadhanabrataroy9117]

MajorPrep you can do a video on String theory and Dark matter. The way you explain and present your content it is bound to to interest more people to these fields. Thanks sir for your appreciation. Love your uniqueness and its contents

[@wyboo2019]

on the airplane example, i did something similar to this as a math nerd in high school. during the beginning and end of the school year, i'd have to walk home, and it was hot as shit outside. the quickest way to my house was walking directly along the diagonal of a rectangular grass field and every time i did i would have crickets and bugs jump into my hoodie pocket and bite me. on the other hand i could walk around the perimeter of the field and completely avoid all bugs but it would be the longest route home in the hot sun. so what i did was assign different weights (in the terminology of this video, it would be like negative utils) based on how much i hated walking through that bug field vs how much i hated the hot sun, and then used multivariable calculus to calculate the best angle to walk through the field at to minimize my total unhappiness and then like a week later i got my drivers license and a car

[@grindone5135]

I used to ask my math teachers why we leaning math and these geometric proofs when we don't need them in our daily life but i never got a satisfying answer but this video gave answers to almost all my questions. thank you

[@particleconfig.8935]

I'll be starting my self directed mathematics and physics (bachelor) material soon, glad I found you because we think alike on ''how to study'' and such. Can't wait !

[@anymaths]

you can watch my mathematics videos.

[@folf]

Great video MajorPrep!

[@FernandoRodriguez-ge2tg]

Wolfy The Wolf it's a fun video

[@AceNinja1101]

Awesome video and I love that book! I'm currently reading it and close to finishing it up! But it truly is a mind blower on some of the examples or real life applications that the author uses

[@zachstar]

Totally agreed! The book was really fun to read.

[@nathanregev5412]

16:00 , Also the nice and atractive people are usually already in a relationship, so they are off the radar as well.

[@tjdriii]

You should make a video over the statistics degree!

[@mufaddalsamplewala772]

wow amazing video. I've never thought about something to this degree

[@vulturebeast]

Loving this channel 💖

[@txlec99]

Im not sure if your a born genius or made genius, vut today and yesterday ate 2 different thing and as of today you are indeed a genius, thank you for all of the helpful videos and tips youve shared with us all here on youtube, thank you.

[@koushikroy6259]

Keep up the good work

[@canadiannuclearman]

There was a loto where there was an unusualy high number of people that shared the winnings. After the investigation by the loto commision it was found that the winners used the numbers off a Chinese fortune cookie. There is no reason the numbers would win any more then any other set. But customers think they are lucky so they used those numbers. So the rule is do not use the numbers from a fortune cookie because there is less chance you will share the prise. The printers of fortune cookies know this so they promissed the loto commission to not duplicate numbers and produce more random numbers.

[@SuperNovaJinckUFO]

Today I learned that the Riemann Hypothesis and Poincare Conjecture are not things that most people learn in Uni Math. I'm kinda proud of my school now, because I learned that shit in a Bachelor of Engineering

[@asreedhar3472]

Sir your excellent ...i liked all your videos very much....

[@xamael1989]

your videos are so good but can please do a video of mature student or people going to college for a career change

[@jiaxifam]

Beautiful Video

[@mrbam8]

This is a decent list but probably should be updated for 2017. Obviously, the biggest weighing factor is the engineering discipline. As a software engineer, I definitely disagree with the list. Here is my top 5 1. Google 2. Amazon 3. Apple 4. Facebook 5. Microsoft I feel Space X will be on this list soon.

[@djordjetrampa5041]

Thank you for your effort in making this video! ^-^

[@stevenschilizzi4104]

Brilliant!

[@jezanko50]

Why are some people disliking this videos?

[@homtardy1740]

They probably don’t understand math

[@parv_verma]

I really like you videos. But I would suggest using white or light grey text on black background. Much easier on the eye.

[@imamalam4971]

Man I wish the job outlook for pure math majors was better

[@pasqualeredo]

How can you apply this logic to the craps table to determine which numbers will show up the most? Or, when to hit or stand at blackjack based on probability?

[@jacobsmith1866]

Time is the only unit of measure we should use rather than “1”.

[@1.8.7laikuza6]

Really interesting video thanks a lot!

[@canadiannuclearman]

A flaw in the loto is if your the only player. But there is a chance you would share the prise.

[@muhittincankorkut6094]

I did not get the coin flipping part, because yes you might have more chance to get to 80% for small trials. However in the same logic you are more vulnerable to get say 20% success.

[@H2Ocup]

It's because you are taking the highest value. Sure you might get a 2,but you'll take the highest,so as a result you'll have a 80% chance of winning (assuming you got a 8).

[@zihongezrali6053]

My most recent application of math is calculating the local time of arrival at a time zone 15 hours ahead of me.

[@mikeynoelleon]

Awesome video knowledge is Everything.

[@inexplicable01]

I would totally play that coin flip game. Go big!

[@hickstance9626]

I like your videos especially the ones about the practical uses of maths. This video is great too, I just noticed something that i think is wrong when you talked about the lottery ticket. The chances of winning when you buy 10M tickets is not 100%, because we can calculate the probability of not winning after buying 10M tickets using the binomial formula with n = 10M and p = 1/8M and X = 0, which represents having won 0 times after n trials. This probability is equal to (1-p)^n which is very small indeed but not equal to zero. And obvious example to see that this was wrong is to consider the flipping coin. So you have a 50% probability of having a head each time, but doing this 2 times doesn't mean you have 100% of having at least a head. You actually have 25% chance to end up with 2 tails, which is also equal to (1-p)^n this time with p = 0.5 and n = 2.

[@michaelkun1594]

Misuse of statistical calculation. Keyword is that there are 10 million different ways to rearrange the numbers on the lottery ticket. Let us think of a different but similar scenario where instead of 10 million, there were 50 different ways to rearrange the numbers on a lottery ticket. If you bought one ticket, you would have a 1/50 chance of winning assuming a random selection. If you bought two, you would have a 2/50 chance of winning. Thus, it is easy to see how buying all possible combinations, 50, would yield a 50/50, or 100%, chance of winning. This is fundamentally different from flipping a coin.

[@mohammedsalmanali01]

Great job

[@alejo3157]

muchas gracias , saludos desde ¡colombia!

[@taivanbatariunbold7640]

great video!!!

[@GolembladeMC]

This is beautiful, you just inspired my second major sir.

[@anymaths]

watch my maths tricks.

[@ChristianRoland7]

I'm glad I subscribed to you 🙂

[@zachstar]

And I'm glad you're subscribed :)

[@VLS-Why]

Cool video

[@MelonMediaMedia]

4:05 QUADRATIC THINKING

[@malof7514]

my optimal time to arive at the airport is to folow the guidelines and ad a bi tof wiggleroom. so if the guidelines say arive at the airport 2 houers early i wil do so wil a bit of wiggleroom. other than that i wil estimate the time everything takes before i arive at the gate then ad wiggleroom. my reasoning is i want to make shure i am not at fault for missing my plane nad worst case senario is that i miss the flight. using your calculation i become unhapy by ariving earli true but i become more unhapy by missing a flight and i can add up the potential wait time for the next flight into the unhappines calculation. and to me it seams that alsmot every time it benefits me if i arive early + wiggle room for acsidents and delays to hapend. and when i arive i feel confortable in my jugement and happely wait for the plane i know i wil make making me happy :) this is defenetly a product of the kind of pearson i am. and that is i am extremely patient if i dont have a choise and if i do have a choise i chose to get an item faster if that is possible but if i have to wait for soemthing then waiting longer to increase chanses of getting it is no problem and it have actualy benefitted me before. story goes something like this, when i go to cut my hair on avarge 2 times a year as i dont realy care for the length of my hair that mutch i got to a local place to cut my hair and ask for a drop in. if i am lucky they are empty and i get to cut my hair right away if it is a crouded day i wil have to wait. me being forgettful and not caring that mutch for my phone i left it at home. and unlucky me there was alot of customers and the wait time was around 2 houers. so i got the choise leave my number and do something else until they call me or sit outside and do nothing for 2 hours me forgetting my phone at home had the choise of going back home to get it for the chanse of doing somehting else. me being lazy nah lets just sit outside and do absolutly nothing. waiting a bit mroe than 1 hour and a hairdresser aproatches me and says i can get my hair cut right now if i want XD 1 houer less waiting ok go me and making the hairdresser feel bad for me jsut sitting there doing nothing. i was happy inside my own mind thinking about how to create a utopia what rules have to be in place or if i created a magick system how wil what wil the power sorce be and how wil it be stored and regenerated and so on. try it yourselfe it is realy fasinationg how mutch you can actualy think about if you jsut have some time that you are unable to do anything else. like whaiting for the airplane to arive. you got time where you cant do anything then just let your mind go and do amazing stuf. mabye in the future you deside to write a book and you thinking about everythin and nothing wil defenetly have ideas that you can use in your project. that reminds me i am now going owe to fusion 360 to design the visual representation of the mana storage inside your fantasy body bye.

[@anymaths]

you can watch my maths videos.

[@darthvader532]

can you please do a video on physics vs mechanical engineering?

[@nichri9980]

I hope I could do more than 1 like and subscription.Really nice video major.Keep up the good work

[@zachstar]

Thank you!

[@Wholetucook]

i wish my teacher would show us scenarios will "teaching math"

[@zachwaller5945]

Hey MajorPrep, In one of your videos, you stated that if you could go back and pick a different major that you would. I'm a senior in high school, and I'm looking into electrical engineering also. Knowing why you would want to change from a subject you seem so experienced and confident in could really help me make the right decision in choosing my major. My question is what would you pick differently and why? Any advice would help. Thanks

[@zachstar]

Hey Zach, just responded to your email but for anyone else reading this. Yes I would've picked probably math with a minor in physics just cause I enjoy those subjects A LITTLE more than engineering. Honestly I loved engineering, I just now realize I would've enjoyed those subjects a bit more. Me saying this has nothing to do with job opportunities, not getting paid enough, or anything like that when it comes to engineering. Just a personal preference. Don't make a decision based off me wanting a different major. If I truly believe a major isn't worth doing, I probably wouldn't make any videos on it.

[@rexsprouse4893]

I love the video, but I have a question. Re the Abraham Wald problem, the video gives 0,2 bullet holes per sq ft for the engine area, but Ellenberg (2014: 6), the value given is 1.11. Which is correct?

[@jasondeng7677]

me: buys -10 million tickets and loose 8 millions dollars but get 10 million dollars from anti-buying the tickets

[@byLem]

Now I can't help thinking of my life in 'Util' terms

[@davidpalafox6978]

Which math major would go well with a minor in CS?

[@honkhonk1759]

5:33 I was so confused for a while thinking you said "for" when you said "of." Omg, I'm so stupid.

[@aprx2980]

Isn't utility just measured in currency?

[@Quwertyn007]

4:58 South Dakota vs North Dakota

[@AnythingGoesCodes]

algorithms to live by

[@gpolykra]

I thought love was all around us.

[@oxide5690]

About that head/tails game (200k for win and -100k for loss). I'd just flip that coin a million times, then the possibility of earning AT LEAST 50k is so much that I don't even have to worry about going to debt. but of course the universe conspires against me so i'll just lose over 100 mil. instead.

[@oxide5690]

oh. then i wouldnt do it

[@petrikoukkula9066]

Imo you got the lottery utils wrong. Losing 1 dollar to lottery ticket is about - 77 utils whereas winning the 8 million price would be amazing, but probably not worth of 8 million utils.

[@MarkMcDaniel]

I used to work in a drug store a number of years ago, and dealt with a customer who bought $10 in lottery quick picks every week from my store. One day, she asked me if I played. I explained I don't waste my money on the lottery. She explained, if you don't play, you can't win. To which I astutely replied, neither can I lose. I then said, okay, you play $10 weekly on this game, and how much have you won in the past year. She thought for a minute and told me that she won roughly $200 in the previous year. I explained to her that I'd won roughly $320 more than she had by not playing. Suffice it to say, she never asked me that question ever again.

[@xavierkreiss8394]

I can't follow the explanations.

[@daanstam6697]

This is so interesting. And another proof everything can be math.

[@rohitnamballa236]

I still wonder why you haven't got a million subscribers.

[@jamesbentonticer4706]

When will you use it in life? When you start becoming interested in important things.

[@aweebthatlovesmath4220]

Literally first thing he said was your answer

[@joeyz1234ever]

*equates units of happiness to money*

[@streettrialsandstuff]

Your math about happiness in the airport is very subjective. If I miss a flight it means it is extremely important, because if I do allocate time and money for flights it must be worth it. The suffering from missing something important takes unproportionally huge amount of points. You gotta receive 300$ to compensate for the missed flight vs I literally had to pay 300$ one way when I wanted to get from Ukraine to Germany or Switzerland.

[@inyobill]

I would rather be tthere 3 hours early, have a short line and relax in he restaurant, than be stressed and wait in a 40 minute line.

[@MiMayonGo]

Even this video

[@Ayplus]

Mathematical Thinking = Critical Thinking

[@scienceisweird546]

I literally flip the coin 100 times to prove him wrong but guess how much percentage of head appear 54.28%. It's insane guys 😬

[@Scorpionwacom]

I use mathematics constantly for animation and my colleagues love me because I’m finding ways to make things easier. 14:53 - Of course I wouldn’t! Only those who never played XCOM might go for it. I remember the mission, on which Zhang missed two 98% shots in a row. Best squad wiped, the game lost.

[@kaustubhy]

10:22

[@xenoblad]

Sounds mostly like statistics.

[@MozwGamer]

Yes that's why they say Ballotelli has 95% of penalties converted. Hahahaha

[@chris-dd6uq]

The people who disliked this video are the people who couldn't pass college algebra.

[@Scorpionwacom]

Well, I failed (it was mathematical analysis). But I use maths in my work (cgi-animation) and admire Her Majesty the Queen of science.

[@Pete-Prolly]

Not true. I took Calculus2 & Boolean Algebra at Wayne/Math Undergrad. I disliked this video because I felt like it was trying to win me over with probability/ inductive reasoning instead of deductive reasoning, proofs, or "profound" stuff like I was teased with at the beginning of the video. I have BIG philosophical differences with probability... but limits, asymptotes, descriptive geometry & existence theorems are more reliable. Your comment reinforces my reasoning. Here's why: your assumption that "those dislikes are from people who failed Algebra" is an example of inductive reasoning: Even if 99% "dislikers" failed Algebra your statement still does not hold true because I did not "like" it nor did I fail Algebra so your statement is not guaranteed to be true/valid. And I'm not picking on you to troll or be a dick, but because this fallacy is an example of what's flawed with inductive reasoning (and I want you to come over to the other side. Muw-haha) See, even if the premise is true or valid it does not guarantee the conclusion is valid. It is an ampliative argument. But, deductive reasoning 100% GUARANTEES the conclusion is valid if the premise is true or if the antecedent is affirmed. Here's an example: If (a

[@lenlen8099]

This is just statistics

[@anymaths]

watch my mathematics videos..

[@aweebthatlovesmath4220]

Statistics is math everything is math

[@somerandomweeb4836]

Now change the title to all among us

[@christopherellis2663]

This is why one must have a limit to his gambling.

[@patrickeh696]

I can see you don't have a firm grasp of econ. Hint, study Bastiat and that'll clear up the basic for you.

[@lukasdunford4265]

great book lol

[@streettrialsandstuff]

You don't need any math to understand that risking 100000$ is dumb 😀

[@oscarobioha595]

I was expecting physics lol

[@eat_ze_bugs]

Take a private jet, you'll never have to wait more than 10 mins to board.

[@diygarygaming]

There's no difference in danger...They're all safe.

[@gunjeetsingh9035]

When u reach rhe level where you can predict future with maths and physics..thats the time we will be able to go in BLACKHOLE...#JUST SAYING

[@nurislammiya9399]

I think I'm good at maths.

[@pasqualeredo]

Are those unattractive people mean neCAUSE they're ugly? LOL

[@alial-musawi9898]

Dude, I could answer every single question because I've read the book before.

[@jasontch3979]

I'm sry everything is good until the utils part but utils is absolute trash

[@AndyU96]

Ok, whoever came here for any reason other than to leave a comment like mine, is either an ignorant person or a hopeless idiot. Mathematics is nothing but the way in which we make our calculations, and calculations are themselves nothing else but the observation of trends in the universe. Mathematics is not something that existed. It is NOT a thing. We call our way of calculating 'math'. Math doesn't exist in the universe, it is just the way we calculate stuff. The title is a stupid magnet. It should rather be called 'there are so many intriguing trends in the universe' and it should talk about idk how some things in the universe, when divided by one another, yield integer values or smt (which would be interesting) Now that we know that math is nothing but the way we calculate stuff, it is a no-brainer that, even if nothing good or nice existed in the universe and there werent even any trends around whatsoever, there could still be made calculations about stuff and we would have called those calculations 'math'. OMG OMG OMG, MATH IS ALL AROUND US. Ofc it is all around you when you think about it that way, you idiot

[@theodoreli34]

Bravo Kirito96. You, a random SAO fan on youtube, settled a debate that spanned centuries. Well I guess since you stated it, we all just have to accept it and call all platonists ignorant and hopeless idiots.