Mathematicians vs. Physics Classes be like... 

Mathematician: You can't divide by 0. Physicist: It will cancel out with another infinity later on.

Mathematician: we have to analyze everything through with logic, so that we know how to apply it. Physicist: let's poke it, and see what happens.

Mathematician: Let's find out the formula to calculate the shape of a human head. Physicist: Let's pretend that it is a perfect sphere.

I just love coming back to these videos like twice a semester and understanding the jokes a little bit more each time

My physics teacher explained us the difference between a mathematician and a physicist. Imagine both are at a traffic light, the mathematician will wait until the traffic light indicates he can cross the street and he will even check whether all cars are stopped, and he will arrive safely at the other end. On the other hand, the physicist won't even look at the traffic light and will directly cross the street, if he arrives safely, it means the traffic light was likely to be green and if he doesn't, it means it wasn't green.

hahaha i remember when i was studying physics, there was another guy who was graduating in math and physics at the same time and used to interrupt all the time with comments like this. we lost a lot of time. until the professor, who was a guy who looked like a heavy metal musician and was not very patient, told him "Boy, we are physicists. We dont give a fuck".

Physicist : the gravity is a curvature of space-time Mathematician: a vector is a vector bitch

Physics Teacher: We do not relate to any mathematics after Yr 9 Maths. Also Physics Teacher: We don’t have any formulas for finding the area under this non-linear graph, so let’s count the squares!

Basically: Physicist: Let's make our lives easier by assumptions and aproximations. Mathematician: No.

Theorem: if you go the gym and work out, your physical condition will improve. Proof: exercise

When mathematicians and physicists work well together, they produce astonishing science. However, they usually don't get along so physicists tend to do nonsensical mathematics and mathematicians do abstract mathematics without any applications for centuries to come

"This proof is trivial you can just do it on your own for practice." -Official Moto of Physics Professors

“and by higher order, I mean after the first term” I FUCKI G CHOKED

An engineer, a physicist and a mathematician traveling in Wales for the first time notice a black sheep. Engineer: Oh, sheep in Wales are black. Physicist: Oh, there exists black sheep in Wales. Mathematician: Oh, there exists at least one sheep in Wales, and at least one side of it is black.

My physics professor at the university: "If any matematician saw this, they would rip their hair off, but we will divide the whole equation by the dx".

I remember a mathematics prof teaching a lecture on stochastic differential equations to physicists saying: „Teaching to physicists is like being a grand parent: All the fun, no responsibility!“

This is just like having a philosophy student in a law or politics class

I can only trust a math teacher if it has foreign accent.

heh. this made me think of the following hypothetical scenario: what if for some cruel reason a physics journal decided to add pure mathematicians as reviewers for the articles submitted to said journal?

This is painful, I was so confused how my physics professor magically turned sin(x) to x in a pendulum. Approximation hurts, but all wounds heal with time... Update: I am now both a physics and math major, and I now see nothing unethical here.

Programmer : Is there an algorithm to solve this more efficiently?

Engineer: I don’t see what’s wrong with either approach...

I'm a bachelors physics student and in a relationship with a mathematician who is about to start his PhD program. Let's just say, we have our moments

Mathematician: If it satisfies Fubini's theorem, you can switch the integrals. Physicist: Assume necessary conditions, you can switch the integrals. Engineer: You can always switch the integrals.

Physicist in mathematician's class: _Makes fun of physicists' lack of rigor_ Mathematician in physicist's class: _Makes fun of physicists' lack of rigor_

"If we take the square of the probability amplitude, you are a virgin." LMAO

As a bio-student, I'll sit back, relax, get some popcorn.

Still remember my first-year physics. Prof wrote the general expression for the 3D wave equation on the board (after guessing the solution) and then proceeded to cross out terms- this one very small, this is about one, we assume the wavelength much smaller than the aperture, etc. I was flabbergasted- you can't throw things out! It's an equation!

If that guy takes engineering classes he is gonna have a heart attack hahaha

Died at "if it's *in* physics, it's *in* -vertible."

"The accuracy of mathematics in explaining physical phenomena is a gift that we neither deserve nor understand"- E.P Wigner

I have had 2 math courses at my university in Sweden that have been pretty much like both math and physics at the same time; one of them was called "Mathematical Physics" (Matematisk Fysik) and was mainly about the diffusion equation, the Laplace equation and the wave equation, and the other one was called "Applied Mathematics" (Tillämpad Matematik), and was a lot about perturbation theory, approximations of integrals, double pendulums and things like that. I kinda liked those courses, because they _really_ expected us to have experience with multivariable calculus, differential equations and various transformation methods (Fourier Series, Fourier Transform, Laplace Transform etc), as well as a lot of concepts from physics, so they felt very rewarding.

Marvel: "Infinity War is the most ambitious crossover event in history." Me:

When faced with a problem: Mathematician: I cannot prove, I'm stuck! Physicist: I solved it, but it only applies to spherical chickens in vacuum Engineer: Let me show you how is done

As a physics student this is giving me anxiety as to how much of my stuff has flawed mathematical foundations that I just don't know.

Okay everyone, find the volume of a cow! Engineer: okay I'll submerge the cow in water and see the volume change. Mathematician: I'm going to slice the cow into geometric figures who's volume I can solve for Physics: well that's easy, first I'll assume the cow is a sphere

"and now we omit this part, becase mathematicians also have to eat, and we arrive at this equation" ~My professor of physics during my engineering degree

The language of physics is math. And as every useful language, there is some sort of slang. Just get over it, mathematicians.

Mathematician: Argues about illogical result Physicist: *It is what it is*

"In nature, all functions are continuous" as my professor once said.

"This is not a math class, I don't know why you insist on acting out." Flawless.

absolutely no one: physicists: *t a y l o r e x p a n s i o n*

As an engineer who LOVES math and has a very solid math base, i am BOTH of these people hahaha. Its a constant internal struggle 😅

Brilliant video there. Back in high school I told myself that I never wanted to study physics because physics was the hardest subject in final years of high school. Physics contain a lot of hard mathematics and I simply had so much difficulties with physics laws and learning gravity, mass, weight, displacement, and motion graphs.

"why are we even interested in something that we can't solve analytically" *numerics teachers disliked this*

"... by dropping higher order terms in it's Taylor Series... and by higher order I mean after the first term." If this isn't how you do physics, than you're not doing it right 😂😂😂

This is the most satisfying video I have watched in a long time. Thank you!

I’m so proud of myself. Halfway into AP Calc BC and AP Physics 2 and I can understand every other word.

Nobody: Physicists: So we're gonna assume c, g, and pi are all = 1 here

"Often times we have to resort to approximating functions by dropping higher ordered terms in its Taylor series. And by higher order, I mean after the first term." As an avid mathematician, I felt that. LMAO

This may be accurate, but never in my life have I seen physicists so hostile to mathematicians. Most professors were rather apologetic that they don't have the time or knowledge to prove the swappability of limits, existence of integrals etc. They would at least mention that it is a part of the proof.

Your content is really interesting! I love it, more power! 💞

1 = ||^2 is probably the sickest burn in history.

and by higher order, I mean everything after the first term. I spit out my drink

1:55 got me ! We are here to approximate and apply and then repeat. This is one of the reasons why I choose Physics and THANK YOU FLAMMABLE MATHS !

Philosophers : whats the point of learning these subjects when you dont even know the meaning of life.

I had a professor once tell the class "9 is close enough to 10 to substitute 10 into the value for this problem". I quietly do this at work all the time.

After 4 years of being a math student, the secret I've learned is that forgetting about the rules is the only way to get anywhere

I always understood math in physics better than actual math alone because it was easier for me to understand real life concepts than concepts of numbers.

As a math minded person forced to take a physics class... I COMPLETELY FELT THAT

3:44 That's an Oscar *right there*

True Story - I'm a Stats / Actuarial Maths major. Girlfriend at time was same University in Urban Planning. Asked me for help on her Stats assignment (she had to take this one introductory math course - she was not good at the subject - I was in 4th year). I did the entire easy assignment slowly in front of her showing her every single step (exactly what would be required in the Math Department). She got the assignment back a week later and I got 65% (i blew my mind because it was all 100% correct). I went down to her Lab and confronted her TA and told him everything was absolutely correct. The insanity that went down for the next 30 minutes I will remember for the rest of my life. I was subsequently banned from the building. The story spread to the Math Department to the point that one of my Profs asked if it was me and then see the actual assignment - i management to get it from her, make a copy and gave it to him. As a joke a few weeks later, he started the class reviewing my answer that I was given a 6/10 on. The class was laughing hysterically - at the end he gave me a 9.5/10 because I didn't end the Proof with QED

I honestly wanted to persue physics last year but was forced my way in to Medicine. Honestly watching this video has made me realized my love for physics. If only I can be brave enough to take that leap now..

1:35 “Drop higher order terms in its Taylor Series, and by higher orderI mean after the first term" You got me..that's exactly the reason I dropped physics after my first semester in uni

"Ich habe gezeigt dass das integral konvergiert" "sehr schön, hast du es auch gelößt?" "nein"

Once on a TV show, a mathematician and a physician were invited and were to make a fence all over some sheeps using the less material possible. The physician starts, and put all the sheeps in a circle, and try to make the fence less and less big. Then it's the mathematician turn, he makes a fence all over him and define himself as the outside, making the sheeps on the inside of the fence. Moral : there's none, it's just funny stop overthinking

One of my professors could not explain what the physicist said at the conference she attended because she was laughing so hard

3:50 "Enough is enough. See me after class and we can talk about the existance and probability of you flipping burgers for the rest of your life"... Lol...

"All Matrices are Invertible" that genuinely hurt my soul🤣🤣🤣🤣

As a engineering student I love the idea of sitting back and getting paid without knowing any of this

That's the funniest thing I've seen all week 🤣 I'm still laughing

I love this in part because there are actually a lot of problems with physics math that just gets brushed under the rug.

"if you have questions about the rigor of this class........... you can leave" LMAO

This flammable maths guy is crazy. Next thing he'll be telling us is that dy/dx isn't a quotient 😵

Too accurate, also same thing happened to thermodynamics that when they tell you how to derive and get the maxwell equations, the process actually omit some brackets and subscripts in the second derivation.

Watching this as a computer science student who knows math but not physics is extremely interesting

Lmao "probability of flipping burgers for rest of life"

One does never see Jens and Mr. Dotson at the same time. Does that mean that Jens is Andrew?

I’m clearly not at the same level with this stuff (I’m taking first year mechanics and also calculus) but the difference I care the most about is definitely sigfigs. Since like 10th grade ALL answers in math classes were given in simplified exact numbers. This meant either doing a lot of algebra by hand or getting an actually good calculator. In physics I get to use numbers were I understand how big they are immediately, but I also have to keep track of significant figures and decimal places EVERY STEP of my calculations. And then uncertainty calculations in the lab and stuff too. I do like having math proofs (which we’re sometimes given in math, and I often understand) but we’re given little in physics (some you’ll study this theory next semester though so idk)

That is understandable. I've been doing some work on Maxwell's equations. And sometimes I think a step is mathematically very wrong - but then I remember that I'm a physicist and think that division by zero is sometimes not such a problem!

I'm not big brained enough to appreciate those jokes

"You'll prove this in some other math lecture next year" "Yes we can always do that since functions in physics are always smooth anyways." "We can interchange that since experiments have shown that the resulting formula actually works" "And now we'll apply this in the next experiment that I am going to show you." *30 seconds later* "I actually have no idea why this is not working like it should. I swear we tested it this morning."

I have always kinda viewed math books as "instruction manuals" for math - in other words, they explain in detail how math actually _works_ - and physics books as math applications.

I found the sinx = x one particularly funny, it's even on your fundamental theorems of engineering shirt!

this could single-handedly replace the show, "The Big Bang Theory"

My physics teacher : so here’s the Dirac, a function equal to 0 everywhere but when x = 0, f(x) = infinity. Let’s say that the integral of that function is equal to 1. Mathematicians : that’s illegal Dirac : I don’t care I’m a physicist

can't stop looking this. also the engineering one is hilarious!

I like that the font and back halves of this classroom are clearly in different continants

Electrical Engineer here: *I totally get this!* An electrical engineer is just a more honest physicist - meaning we use an approximation _because it has been shown to work in some context,_ but not because we understand _why_ it works. Even though we admit that we don't know why an approximation works, we are going to use it anyway ... _just because it works!_ That's called _pragmatism,_ and engineers are essentially pragmatists. We are happy to let the mathematicians and physicists argue forever, while we wait patiently for any equations that they might come up with that seem to at least kind-of-sort-of work in some practical situations.

As a former physics major who recently enrolled in a math master, I feel triggered on so many levels...

Economist: so these are the main 4738 assumptions of our model. Mathematicians: how do you solve it under so many constraints? Economist: you don't, assumptions optimize it for you.

I ❤ you guys for this, so much 😂.

When i was 2nd year high school, we had a task that had pi in the numerator and 3 in the denominator. You can predict what my professor's next move was

“...And by higher order I mean after the first term” had me dying at like 1:20 AM

0:13 looks like a greek lesson

4:26 "What are you even saying?" Exactly.

"Just let me take my derivative!!" - Andy Dots.

That last one was actually worrisome, as a physicist

I'm a first year engineering student. I asked my physics instructor about a problem (I don't remember the specifics) where you're supposed to quantify a horizontal throw under certain conditions with polar coordinates using arctan and I was having hard time because the function is defined for the range [-π/2,π/2], but the horizontal degrees are defined [0,π]. And after I spent too much time trying to make my answer work my instructor tells me to just use arctan and not worry about it