When I teach about differential equations, I'll make sure to do a similar introduction, it's really brilliant

@gsjxbxbxhdhs5352

3 жыл бұрын

Speaking of brilliant, this comment is sponsored by...

@ThePianist4Life

3 жыл бұрын

In my opinion there are way easier and more general examples to use, for learning about differential equations. 3blue1brown has done a great job in that regard. I very much prefer the classic pendulum and heat-transfer as starting points. Just not the chase curve. But this might be just my personal preference.

@Build_the_Future

3 жыл бұрын

Why use "d" why not use the delta symbol?

@94mathdude

3 жыл бұрын

Delta is for partial derivatives

@SiddharthSingh-zd7ny

3 жыл бұрын

@@gsjxbxbxhdhs5352 Nord vpn

them: do you even lift bro? me: yes. barbells, with no mass.

@sudheerthunga2155

3 жыл бұрын

Lel

@saicharanritwikchinni9608

3 жыл бұрын

@FullTimeSlacker lololo

@chandrakumar2940

3 жыл бұрын

It's impossible, technically.

@saicharanritwikchinni9608

3 жыл бұрын

@@chandrakumar2940 r/whoosh

@domu64

3 жыл бұрын

It is not considered in the equation because the mass of the barbells ain't changing. So for the sake of simplicity in an already complex equation for the general masses, they've been left out.

When I learned physics at University one of the most satisfying experiences was getting to grips with calculus enough to use it to derive equations as it allowed me to wield mathematics to describe the world, which felt awesome.

@nq5044

2 жыл бұрын

Dont click his link,its most likely scam

@tizurl

2 жыл бұрын

@@nq5044 most likely, they’ve placed this exact comment in other comments in this channel

@NazriB

2 жыл бұрын

Lies again? Dear RJ

@hisdudeness4537

Жыл бұрын

The reason I like math now. Back in high school they made it too grindy for me, but now I'm loving it as the grind pays off little by little.

@Brekstahkid

11 ай бұрын

I feel like Goku sometimes

I asked my Math teacher the same question when he was teaching DE. And the whole class laughed at me. Thanks for the video.

@Wrek100

3 жыл бұрын

Obviously while you were studying the text they were catching up on the latest season of Numb3rs. Study smarter, not harder! :D

@justinmiller129

2 жыл бұрын

It reminds me of the *_dark water in this video_* kzread.info/dash/bejne/hqBp0aqToqzAn5M.html&.wsep

@sarthak8350

2 жыл бұрын

Bcoz u were studying for knowledge and they were studying to pass an exam

@bhartiyacreature4950

2 жыл бұрын

Fools

@TheReaper002

2 жыл бұрын

I'm 1 year late but this happened in my class yesterday, everyone laughed not at the student but with him because it sounded like they were funnily teasing the professor.

Me wanting to be an engineer: Haha, I'm in danger

@wyattb3138

3 жыл бұрын

Just keep practicing your math. Calculus may be challenging but it is really useful.

@spectrumnight8937

3 жыл бұрын

@@wyattb3138 I know, but my braincells are in danger fellow engineer

@wyattb3138

3 жыл бұрын

Spectrum Night, apart from doing all the math, engineering really depends on your creativity and being able to think of unique solutions to problems. After all, engineering is just problem solving.

@hafidza.p8584

3 жыл бұрын

Trust me.iam engginer .wtf just happen here

@angelomartino4667

3 жыл бұрын

Laughed, well this shit it's hard and endless, don't know how to interiorize it

Good to know Zach :D

@aaronrashid2075

3 жыл бұрын

I thought you liked integration more :D

@nanigopalsaha2408

3 жыл бұрын

Hey papa!

@chhabisarkar9057

3 жыл бұрын

@Flammable Maths , 57 is the goodest prime number :)

@crazyphil7782

3 жыл бұрын

Numerically, you never derive, you integrate.

@RockBrentwood

3 жыл бұрын

I'm not sure what the narrator is trying to say at 6:00, but that's not a differential equation in the usual sense at all, but actually a *differential inequality* ... it is generally true for any two vectors that 𝐀⁄|𝐀| · 𝐁⁄|𝐁| = 1 ⇔ 𝐀·𝐁 > 0 . So, all the problem stated at 6:00 is actually saying is that (𝐦 - 𝐜)·d𝐜⁄dt > 0; i.e. 𝐦·d𝐜⁄dt > 𝐜·d𝐜⁄dt. If the additional assumption |𝐜|² = 1 is being made, then since 𝐜·d𝐜⁄dt = d/dt (|𝐜|²/2) = 0, then the inequality reduces to 𝐦·d𝐜⁄dt > 0. *Any* unit vector 𝐜(t) function of time (i.e. |𝐜(t)|² = 1) for which 𝐦(t)·𝐜'(t) > 0 is a solution to the problem.

"Let's assume there's no wind" When have I seen this line before..

@anujbangad3973

3 жыл бұрын

Oh yeah!!! "Neglect friction" "Air resistance can be ignored" "Gravity free space" "Energy loss is negligible" "Disregarding relativistic effects" "Ignoring quantum effect of electrons" " sin(θ)=tan(θ)= θ " Sounds familiar, huhhhh

@simonhallin8909

3 жыл бұрын

@@anujbangad3973 Aaahh, the noturious sin(x) = x. Just go ahead and put a 3 for pi and e while you're at it

@raghavsinha5298

2 жыл бұрын

@@simonhallin8909 Don't forget to assume the cow is spherical!

@tarunbalchandbhaimulchanda6929

2 жыл бұрын

@@simonhallin8909 pi square is g

@simonhallin8909

2 жыл бұрын

@@tarunbalchandbhaimulchanda6929 of course! But i prefer using e^2 instead

One of the best videos ive seen, it gave me some sort pf motivation to finally pay attention in math class since my teacher never explains why we are learning what we are learning

@Subhumanoid_

Жыл бұрын

a) cuz you will do more complex maths later and you will needs this building block b) cuz it's on the test next month These are the only reasons ever given to me. Truly, school math is only interesting to autists.

@zachschroeder1740

Жыл бұрын

for real, mine just tells us one method of solving it, doesn’t tell us how it works, and calls it good 😮

@sesughyandev

9 ай бұрын

I doubt even the teacher fully understood why he was teaching what he was.

Differential Equations are definitely a household name in the applications of maths. They are really fun when you know how to utilize all of their techniques. Awesome work!

@CBielski87

3 жыл бұрын

omg yes! Diff EQ should be taught way earlier so students of math can see how all the "useless shit" they learn comes to life!

@livethefuture2492

3 жыл бұрын

Just a question, i'm currently in 11th grade and I want to ask is there literally any application of those trigonometry identities that you had to memorize in high school? Cuz I have probably memorized 40 of them and it's driving me crazy!

@RC32Smiths01

3 жыл бұрын

@@livethefuture2492 I believe that Trigonometric Identities are absolutely critical for things such as buildings and architecture, trying to find the lengths and angles of certain objects, as well as finding the existence of 0, 1, or even 2 possible triangles. It's also very useful in Engineering, understanding the use of currents.

@RC32Smiths01

3 жыл бұрын

@@CBielski87 I think Differential Equations are something that someone really wants to do in order to really do it. They absolutely have their purposes, but it's something that you need to understand years of calculus and advanced math to really understand.

@tasis3835

3 жыл бұрын

@@livethefuture2492 Trigonometry is fundamental in any engineering or scientific field. You have to memorize the basic identities and equations, because you'll use them a lot and frequently so you can't demonstrate them anytime, BUT you have also to understand their meaning.

Had a similar chain problem on a physics exam. Still haven't recovered mentally/emotionally.

@diondredunigan2583

3 жыл бұрын

oh god i'm afraid of AP Physics a little now, at least toward the end of the year. I really only know the most basic information about movement and forces. I'm doing calc at the same time, so I don't even know that math. Hoping the class doesn't kick my ass too hard lmao Edit: It did, it did kick my ass

@patrickjdarrow

3 жыл бұрын

@mozart mechanics

@biplovebaral8755

3 жыл бұрын

Diondre Dunigan you are fine, AP Physics 1 or 2 does not use Calculus, So you won’t see any differential equation problems. AP Physics C does use calculus however so if your taking AP physics C, but I doubt you would see difficult differential equations there. The math in AP physics 1 or 2, is not intensive at all so I wouldn’t worry!

@diondredunigan2583

3 жыл бұрын

@@biplovebaral8755 Thank you so much! I am taking AP Physics C, but it really all depends on what my school's curriculum is like in terms of physics. I passed my precalc class this year with an A, but my Trig class... You wouldn't think Trig/Algebra two quizzes could be so difficult, but my teacher made them so. But thanks for letting me know!

@SilentTricks

3 жыл бұрын

They give us this question in med school exam in India

When I studied aeronautical engineering at university I was amazed when I discovered that DE are the key to model many physical problems no matter if it is structural mechanics, thermodynamics, aerodynamics or electrical engineering.

@globalians1029

Ай бұрын

In which semester are you?

I am learning differential to slap my brother perfectly at the moment when he would be running to tell my mom that I failed in math.

@sumitno10

3 жыл бұрын

lmao

@sheepeeeyming8698

3 жыл бұрын

Same bro, but instead of brother, cousin.

@Takin2000

3 жыл бұрын

@@sheepeeeyming8698 Your cosine?

@sheepeeeyming8698

3 жыл бұрын

@@Takin2000 so funny😂

@themadladprince430

3 жыл бұрын

@@Takin2000 bruh

"Differential equations are cool" ~Big Bang

@matteovasta2326

3 жыл бұрын

"Yeah really cool" ~Big Freeze

@jonhtanzer6518

3 жыл бұрын

Big bang, come on

@apokolypx

3 жыл бұрын

"nothing was ever anywhere, makes sense right? like I said it didn't happen" - bill wurtz

@davidedmundtochi5228

3 жыл бұрын

The big bang is a hoax dont be decieved.

@vaibhavagrawal3083

3 жыл бұрын

@@davidedmundtochi5228 I bet your one of those religious people right?

4:10 There's this famous example of a pursuit curve. The French wanted to make an anti ship missile. So they built a missile, slapped on a sensor, and then programmed the missile to always fly towards the target. In the first test, they launched against a *small* "drone" target. As the distance approached 0, the tightness of the turn required to remain on target approaches infinity. So it missed. It now locked on to a stationary buoy. But the buoy was WAY too *small* for the missile to hit, so it missed. Finally, it locked on to a *large* civilian cargo ship, which was minding its own business. The testers panic, because that ship is in range, it's so large they think the missile WILL hit, and they didn't bother to install a remote termination system. The missile again lowers its altitude to the sea skimming attack pattern. It makes the last course adjustments... ...and misses. Finally it runs out of fuel and crashes into a busy shipping lane. When Sweden's FOA (defence research institution) learnt of this, they fed the missile's guidance algorithm into their brand new (for that time) supercomputer, and the output predicted the exact flight pattern of that French missile. That was when the French leant about "CBDR-pursuit" (Constant Bearing Decreasing Range) and "PIP-guidance" (Predicted Impact Point).

@johngddr5288

3 жыл бұрын

Holy shit. That is crazy!

@smokeypillow

3 жыл бұрын

@@manikanta2000 doesn't take that long tbh

@smokeypillow

3 жыл бұрын

@@manikanta2000 i know i know

@user-zu1ix3yq2w

3 жыл бұрын

yay weapons of war

@kindlin

3 жыл бұрын

@@manikanta2000 It had a buildup, climax, cliffhanger, resolution and lessons learned in like a 60 second read. Worth.

You know, I really enjoyed calculus last year and understood many of the real life applications, but I never knew about the pursuit curve thing before. Mathematics is just something else man.

@DrakeRing

2 жыл бұрын

What's going on my Liege

@chrismarklowitz1001

8 ай бұрын

Ikr math is so cool it feels like I'm a seer discovering the mysteries of the universe

I love how intuitive he is with explaining it, it's easier to understand why it's important and gives it meaning.. something few ppl do but it seperates the good from not so good at explaining things

People who like math: wow this is interesting Me, who barely passed calc 2 and linear Algebra: *screeching noises*

@Dm-dw3tr

3 жыл бұрын

I wanted to be an engineer. I can't number. So I went to biology lol

@NerdyCatCoffeeee

3 жыл бұрын

@Bernd DasBrot like hell it's not

@Asrieloo

2 жыл бұрын

Me who didnt memorize the multiplication tables because yes and then didn't know how to do division: *Intensive sweating*

@oberdinger09

2 жыл бұрын

C's get degrees

@michaelespeland

2 жыл бұрын

Lol I baaaarely passed calc 1 and failed linear algebra

Me watching this, avoiding actually learning the differential equations.

@wojtekkowalski7403

3 жыл бұрын

I've got an exam in differential equations in 3 days and your comment felt so close to my heart this moment haha

@mwanikimwaniki6801

3 жыл бұрын

@@wojtekkowalski7403 😫😫😫😫😪😪😪

@mosaicbrokenhearts2886

3 жыл бұрын

Today i got exam on differential equation, grade 12. It's kinda easy to solve them but my school didn't teach any application of this. The problems are too long it's exhausting

@deviks3421

3 жыл бұрын

google is tracking you

@jarskil8862

3 жыл бұрын

@@mosaicbrokenhearts2886 This is pretty much reason why it sucked in highschool. We were not having any context. They just said: "'Solve this" Now when I'm studying engineering, we have context but its so damn hard because I did not learn it in high school.

Me acting as if I understood anything he just said: 🤓🤓

Me: Why are we learning this? Teacher: So, that's how you're going to solve it when it appears in examination Me: 🙃

@maxwellsequation4887

3 жыл бұрын

The way school teaches maths is clever They have selected the most possibly inefficient way after not teaching at all

@shabnamkhatoon4980

2 жыл бұрын

🤣🤣🤣🤣exactly

@parthprashar8498

Жыл бұрын

@@maxwellsequation4887 Best comment. Thank you for saying this.

Damn I wish more people understood just how mind blowing physics and Calculus really are. Like these equations describe the damn universe, the universe itself runs on mathematics and physics. Mathematics is literally God's language and it's so beautiful.

@DroneSatelliteView

3 жыл бұрын

You are the man Daluved "1"

@skibaa1

3 жыл бұрын

More likely the mathematics is reflecting our way to cope with complex ideas and to structure them.

@lucasdipa9889

3 жыл бұрын

The universe isn't run by mathematics, it is our language that we use to understand how the universe works

@vv8104

3 жыл бұрын

God is just an illusion.

@notmychairnotmyproblem

3 жыл бұрын

@@vv8104 perhaps

gravity rounded to 10 * Laughs in physics *

@seriyooow310

3 жыл бұрын

Straight up paused the video at that moment and went straight to comments. As an engineer, this hurts my body and soul.

@priscilas4755

2 жыл бұрын

@@seriyooow310 same

@78anurag

2 жыл бұрын

@@seriyooow310 Wait don't engineers approximate e as 2 and π as 3, and g as π²?

It's wierd that in schools we are taught to solve them by just learning the formulas and getting the right answers and not the practical usage. It would have been easier to learn about them by having them connected to some practical usage.

@DairangerSentai7

Жыл бұрын

Like what

@masterbaits4108

Жыл бұрын

@@DairangerSentai7 like you see in the video

@Michael-mh2tw

Жыл бұрын

Maybe you were one of those people sleeping or picking your nose at the back of the class then, because they definitely mentioned it to my class.

@soupy5890

Жыл бұрын

@@Michael-mh2tw In a post-secondary, or like high-school? My high-school teachers never talked about applications, and yeah I did actually listen to the lesson

@badabingbobsuruncle

Жыл бұрын

@@soupy5890 no one was talking to you.

Knowing why I will be taking Diff Eq. this coming semester is half the battle. Everything you covered was very interesting to me and now I'm looking forward to taking the class and expanding my knowledge. Thanks for the informative video!

Wondering video illustrating not simply the awesome power of calculus, but the concept as well. The conceptual thinking here is key as this is how we begin to develop models for analysis!

DEs was always one of my favorite courses

@JohnFekoloid

2 жыл бұрын

It started out looking good for me but I quickly spiraled down. Have never recovered since then.

wow i am feeling great to have found about a channel dedicated to application rather than only to theorem which we can easily find in textbook. KEEP IT UP!!!

I wish i had this KZread when i went to school. People like you make the most valuable part of it, amazing. Thank you!

Just like how grass is always greener on the other side, everybody likes to say that their education systems are bad etc. But I'm so glad that our state school syllabus (Indian) had a chapter in 12th Maths called "Application of derivatives" and it taught us practical applications of differential equations. It had problems very similar to those shown in the video. Motion of a rocket with time varying mass, filling up of conical containers with time varying radius, maximizing volume of solids for given surface areas, etc. And I must say, that is what really made me fall in love with differential equations. I just laugh at people who say "When am I ever going to use calculus in real life?" Because I know how useful they really are.

@theeviloverlord7168

7 ай бұрын

What math textbook is that? I’d find it useful to study from.

@sampanna6983

7 ай бұрын

@@theeviloverlord7168 HSC 12th: Mathematics and Statistics: Part 2

Great video, I took differential equations as an undergrad pre-requisite to mechanical engineering at UT. We called it 'difficult equations', but made sense when I later got into applications (i.e. state space model diff. eqs.).

Out of all my math classes. Diff EQ is my favourite. It was fun figuring things out and having it all come together

Im in my last Calculus 3 class taking Diff Equations next semester and this looks pretty interesting, I can't wait! Thank you for the vid Zach!

@jasonfarrell00

Жыл бұрын

well....how'd it go...?

@MaximusLX

Жыл бұрын

@@jasonfarrell00 I'm in the same boat but I just passed Calc 3 and my Diff Eq starts in 4 weeks

@jasonfarrell00

Жыл бұрын

@@MaximusLX best of luck to ya! i was outta school for a few years then came back and went right into diff eq lol it was rough. but coming right out of calc 3 should put you in a great spot to do well 👍

- This was way over my head but I enjoyed how you presented it. The equation for constant change in mass as the shuttle rises instead of Newtons really struck me to how complicated a launch is. 🤔 👍

It has been many decades since I first learned various methods for solving differential equations, and used them throughout my career as an engineer. I remain impressed about how easy it is to write down a differential equation, as opposed to the difficulty in solving it. Despite advanced methods of numerical analyses, analytical solutions still come down to educated guesswork: intuit a possible solution, plug it into the equation, and find out if it works.

@Zach Star Thank you for presenting these awesome real-world applications of differential equations! It really helps to understand how to apply the mathematics that we learn or are going to learn. Please keep the educational and informative videos coming. I really appreciate what you are doing.

Former engineer, now a nurse, no matter how much I gorge my brain on new medical terminology, biology and pharmacology, I always find myself coming back to the topic of STEM. I wish I could go back to engineering but the jobs just aren’t there, everyone only wants to hire for short term projects.

@kevinng1702

Жыл бұрын

Do you think about Medical Dosimetrist or Nuclear Medicine Tech…good money and you applied math and physics….

@BirdTurdMemes

11 ай бұрын

What country do you live in?

Consider doing a episode on Integral Equations. These seem to get overlooked in the typical "Math Methods" course, but then are used extensively in Graduate Level Physics, "Jackson", etc.

I feel like if I knew the application of differential equations, I would have enjoyed that course much more. This video makes me want to revisit those concepts. Thanks.

@jimbojimbo6873

Жыл бұрын

You just didn’t have the drive

@Hr1s7i

10 күн бұрын

It's no different than other math logic. Y=X+1 for example is a very basic expression. You can instantly explain it since it's so simple. But if you change it so Y=1+dx/dt, then we have a Y which is going to be different in the same system for every sample we take of x in the timeline (see how sneaky it is?). We simply take the two dimensional space and move it across the timeline in order to get a function in time. This is literally all there is to it, but written down in a single line for convenience. You don't want to write a hundred lines for a hundred samples of X now do you... Newton probably got pissed by this exact thing. I'm no Newton and the idea of such a tedium pisses me off.

I just finished algebra ii, and yet I still completely understand the first ten minutes (except for some of the math around 8 minutes) of the video. So brilliantly explained! Thanks.

Zach, Just brilliant. I am always curious about the implications of the math I am learning. Thanks a lot

"round gravity to 10 as always" haha

@kindlin

3 жыл бұрын

You should check out Sean' Carroll's Biggest Ideas In The Universe. He sets c (speed of light) and h-bar (reduced planck constant) to 1 to simplify the math. It's just the way science and math works best.

@leonardovillalobos5277

3 жыл бұрын

@@kindlin Will do 😃 thanks!

@francescocitterio54

3 жыл бұрын

@@kindlin not the same thing, rounding g is an approximation, setting the constants to 1 is not because you consider different variables. For example, setting c to 1 could mean that the time you are using afterwards is a different time (where the unit is not one sec). Nothing to do with the approximation of g, in which case you just accept to have slightly different result (or maybe the precision of the other datas you are using is so bad that it would be sensless to use a more precise g)

@kindlin

3 жыл бұрын

@@francescocitterio54 Setting it to 1 or 10 is similar enough. The mathematical reason for doing this is the exact same, to simplify math. 1 is just much simpler. You could set G=1 and do other weird things with the math unrelated to we're talking about here (but similar to what Sean does).

@ishworshrestha3559

3 жыл бұрын

Ok

Thanks for making me dread this next semester a little bit less haha. Love you’re comedy videos but I think I love the teaching ones even more!

Great video! it's always nice to see real world applications for DEq. I believe that's when the "ah ha" moment happens. The chain with the barbell equation was one i used when i worked at the U of Tampa Human Performance Lab.

I am just gonna start teaching professionally and this is pure gold to make students interested. Thank you so much.

I wish i had a maths teacher like him Instead of just blindly solving the equations by formula, we know how to imagine & understand

Did my master's thesis on a differential equation, loved your breakdown!

@justinmiller129

2 жыл бұрын

It reminds me of the *_dark water in this video_* kzread.info/dash/bejne/hqBp0aqToqzAn5M.html&.kqmb

@chrisidema

Жыл бұрын

What equation was it about?

Thank you for this video. I opted out of calculus in college and always regretted it and this is the first video I’ve found that explains what differentia equations are used for without assuming the viewer already knows a ton of calculus-specific vocabulary. Thanks for helping me understand how they work a little better.

I guess one brilliant description for this amazing teaching/explanation is BRILLIANT!

I consider Differential eqn as a branch of mathematics (actually Calculus) which are very intresting and very helpful in every day life.Btw thx for this video! Good luck!

@mr.knight8967

3 жыл бұрын

Why you don't see this kzread.info/dash/bejne/hIuumZqwgLDLdco.html

Just finished calc 3 and linear algebra and I can finally understand math that they do in KZread videos

I was reading about Image segmentation there we have to segment one image to another. And this is the foundation. Amazed!!

You have a teaching gift, thanks for putting this together. Subbed.

During my time at school... Something which you can't perform outright seemed boring...but now watching yt videos getting context of what is the actual application of these equation is really fascinating...Applications were there in the textbooks but we're not at all relatable as those were some mumbo jumbo high level experiments...

"I don't care I'm going to economics" Macro & interest growth differential equations(and friends): *"allow us to introduce ourselves"* Edit: highlighted the irony more clearly

@Kevin-cy2dr

3 жыл бұрын

You will still use it economics for various graphs and other stuff like population growth

@arnaldo8681

3 жыл бұрын

Economics is full of differential equations

@revimfadli4666

3 жыл бұрын

@@arnaldo8681 i know lol, I was parodying the irony of those who take economics because it's 'easy'/'mundane'/'everyone can do it', yet still meet differential equations anyway... Btw, in macro, or micro as well?

@arnaldo8681

3 жыл бұрын

@@revimfadli4666 its mostly in macro, but you can find them in micro as well. In mechanism design, for example, sometimes they show up en.m.wikipedia.org/wiki/Mechanism_design

@revimfadli4666

3 жыл бұрын

@@arnaldo8681 wow thanks!

Wow! You actually made me excited about differential equations. Great job!!!

For pursuit curves, if you do not know the trajectory of the pursued object/person/variable, you can use a Kalman filter or polynomial regression to predict it, then apply the pursuit algorithm...

How do I get girls to like me? Differential equations How do I get this stain out of my pants? Differential equations What happens if I can't solve a differential equation? Try different differential equations That's right folks they do it all. They can slice and they can dice, make your teeth whiter, and your car go faster. and all for the low low... ok im done.

@tonynguyen8166

3 жыл бұрын

when u can't solve des that's where python is ur friend.

@paulhetherington3854

3 жыл бұрын

No opposites-- aren't different, but ops-- face in Egyptian. APS-- Hawaiian for, what's the problem here, etc...

@whatelseison8970

3 жыл бұрын

@@azmanmatamin9020 Kinda crazy you should ask that since your name is the same as my ex's cat and she did, that's who. I was also sad when pus pus died. 😿

@captainsnake8515

3 жыл бұрын

Differential equations put a white stain on my pants 😳

@CristianoRonaldo-hk6vz

3 жыл бұрын

How do I get girls to like me using differential equations?

Really nice video! Makes me miss teaching DEs... I wish we didn't focus so much on analytic solutions, but elementary is elementary. I wish there was more money in physics based solvers, I would love to find a job where I can build physics-based models like I did back in school...

Thank you so much, really great video, knowing why you do something is a must to learn something, generations of students have grown up not knowing why they learned something so gave it little effort,

Thanks for such a wonderful and awesome set induction about differential equation.

Differential Equations: *everything* Literally every student: *confused screaming*

@mr.knight8967

3 жыл бұрын

See this man kzread.info/dash/bejne/hIuumZqwgLDLdco.html

@mastershooter64

3 жыл бұрын

Differential equations are easy enough just wait till you get to partial differential equations

@omshree2448

3 жыл бұрын

@@mastershooter64 complex analysis

@Asrieloo

2 жыл бұрын

@@mastershooter64 wait till you get something that isn't addition and subtraction

Up until Calc2, I had been a natural in math. But it stopped clicking sometime around when we were studying integrals, logarithms, and series. The nail in the coffin was the project I chose to try, which was to describe the curve of an archery bow as it was being drawn, relating the bow length, arc, and draw length or something like that. I flunked that project. I've since looked it up and found that I had bitten off more than I could chew because the related math and physics were a bit beyond what I had been studying at the time. But I didn't know that because my teacher didn't preview our project ideas to make sure we were on topic. So that's my advice to any would-be teachers reading. Be proactive with your students, ask them for updates on their semester projects and ask if they need any help. Don't just throw them in the deep end with no support.

I love how the description of the linear equation at the beginning is like 'oh here, something out of your life you can relate to.' and the description of the differential equation is like 'here, some math words.' Love the video. :D

Fascinating video. Thanks for your hard work!

Mann I was just solving differential equations when this video popped up!

@JohnVKaravitis

3 жыл бұрын

Liar.

@justinmiller129

2 жыл бұрын

It reminds me of the *_dark water in this video_* kzread.info/dash/bejne/hqBp0aqToqzAn5M.html&.mkqj

I got a B+ in differential equations this semester. It was super easy, I really enjoyed it!

man, I love your videos, your voice and your vibe... you are amazing!!

I wish I had KZread when I was studying aeronautical engineering in the late 1988 to 1992. Compared to my university lecturers, Zach Star makes a differential equation look very simple

Zach star and 3B1B . Perfect!

@mr.knight8967

3 жыл бұрын

See this man kzread.info/dash/bejne/hIuumZqwgLDLdco.html

@justinmiller129

2 жыл бұрын

It reminds me of the *_dark water in this video_* kzread.info/dash/bejne/hqBp0aqToqzAn5M.html&.qjho

2:40 OMG I love that show. I wish there were more math related shows

@justinmiller129

2 жыл бұрын

It reminds me of the *_dark water in this video_* kzread.info/dash/bejne/hqBp0aqToqzAn5M.html&.bfsz

your efforts are easily visible through your eyes. great work

WOW So my background in DE is in aerospace engineering so I get how to do stuff like that but learning about how it works in biology and epidemiology is SO COOL THANKS

Nobody: Me: I have differential equations test in 2 hours, I think I'll watch this video right now.

@profprostate8683

3 жыл бұрын

How was it

@Nylspider

3 жыл бұрын

How was it

@t.e.fcastle1069

3 жыл бұрын

Oh, I did it actually pretty good I think, Hamiltonian equations are kind of pretty and easy to handle. Thanks!

@Nylspider

3 жыл бұрын

@@t.e.fcastle1069 gj I know how to differentiate but have never done work with differential equations like these :/

Respect Sir Isaac Newton

Suddenly this came to my recommendation!!! I m a biology lad but your video has increased my interest in maths now!!

Amazing! Great job, loved it

My signals and systems course is like a kick in the face that says "hey man! Heres why you shouldve payed attention in DE!"

Haha, Zach you just had to round up gravity. LMAO!

@_instanze_

3 жыл бұрын

It's the engineer in him

@popcorn485

3 жыл бұрын

Round up? How do you round up from 10? ¯\_(ツ)_/¯

@popcorn485

3 жыл бұрын

👍🏻 I’m perpetuating the engineering joke 😁

@pokemonitishere202

3 жыл бұрын

Because 10 has a round in the form of zero

@seriyooow310

3 жыл бұрын

@@_instanze_ NOOO! In civil engineering: "We don't do that here"

awesome! I like the applications, gives me a sense of all that what's happening with diff. eqs.

Amazingly explained, congrats!

I learned these a year ago and went through hell to pass the class and I’ve forgotten them all.

@shainav.2945

3 жыл бұрын

SAME HAHAHA

@abdallababikir4473

3 жыл бұрын

I learned this a year ago as well, and id Ace any first level calculus test. Your situation should not be normal

@shainav.2945

3 жыл бұрын

@@abdallababikir4473 to be fair i was never really interested in it, and i just studied just enough to pass so 🤷‍♀️🤷‍♀️ it'd be normal

@justinmiller129

2 жыл бұрын

It reminds me of the *_dark water in this video_* kzread.info/dash/bejne/hqBp0aqToqzAn5M.html&.enrv

Hi zach !Lots of engineering topic are taught without giving any inituation /application. .. I believe step by step you will cover whole engineering course and would be able to create new engineering course 😅 best of Luck. ..greetings from India

@Stabokb

3 жыл бұрын

Are you preparing for JEE Advance?

@jaikumar848

3 жыл бұрын

@@Stabokb I am engineering passout of 2015

@mr.knight8967

3 жыл бұрын

See this man kzread.info/dash/bejne/hIuumZqwgLDLdco.html

@161BMW

3 жыл бұрын

jaikumar848 which university did you go ?

@Stabokb

3 жыл бұрын

@@jaikumar848 B.Tech from IIT Madras.you?

Interesting presentation. Great explaination. Helps to clear the mind

Best video i watched this year। Thankyou for such videos, they inspires us towards science since we come to know why we learn all these and where we will be implementing them in future.

17:28 , for a moment i thought he said : "If you wanna die" .. he got me excited

@skellingtonmeteoryballoon

3 жыл бұрын

Dive lol

@justinmiller129

2 жыл бұрын

It reminds me of the *_dark water in this video_* kzread.info/dash/bejne/hqBp0aqToqzAn5M.html&.vknj

Man if I had the same passion watching this video when I barely passed Maths.

@justinmiller129

2 жыл бұрын

It reminds me of the *_dark water in this video_* kzread.info/dash/bejne/hqBp0aqToqzAn5M.html&.miyg

I find it satisfying and scary at the same time. Thinking of the time and energy I have to put in to really understand the concept scares me. Thanks for the video. It was educating and relieving.

Thanks so much. Just an interesting updates that while previously we could only do differentiations in whole numbers, fractional calculus started possibly … “power law is only first order of approximation”, …{ Atangana if replacing the used-to-be Mittag } (ref. Newscientist: “between numbers”)

Universe: BOOM! Here's a bunch of stuff. Us: Cool, how's it all work? Universe: BOOM! Here's Differential equations. Me: Cool, solve mine too.

@mr.knight8967

3 жыл бұрын

See here man kzread.info/dash/bejne/hIuumZqwgLDLdco.html

@justinmiller129

2 жыл бұрын

It reminds me of the *_dark water in this video_* kzread.info/dash/bejne/hqBp0aqToqzAn5M.html&.svjx

This far too detailed and advanced for my secondary school brain

Thanks for the Video, great job

Thank yous for sharing, Appreciate your tutorial and explainations

I got into this stuff to do fluid simulations in my computer graphics courses. This video is very informative as far as the applications go. For sure made by an engineer ahaha

what is the dot product of velocity and position vectors?

Right on. Thanks for sharing.

i saw this at the end of my requirements list after calc 3 and wondered what could be more difficult than calc 3... thank you for scaring me.

Finally i got answers which i can't get from schools and colleges

At 1:46 meaning of the differetial equation was unexpected! ! Thanks for that!!

OMG The pursuit curves were freaking awesome!

This is what I needed in my whole 12th for intuition . Thanks