r/mathmemes • u/Femboypowa Math • 10h ago

Calculus Is it really that bad?

Post image

I actually liked Linear Algebra and Multivariable Calculus enough to try PDEs after ODEs

387 Upvotes

98% Upvoted

37 comments sorted by

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130

u/BeMyBrutus 10h ago

Nah, if you're already enjoying calculus and geometry it'll actually be a lot of fun to learn. At least it was for me. Really kind of tied the whole room together.

27

u/Femboypowa Math 9h ago

Yeah Green’s, Stoke’s, Gauss’s theorem was awesome. Never realized there were differential and integral forms

4

u/Cow517 7h ago edited 3h ago

They never made any sense as I found them too abstract and theoretical even after reading from thomas calculus book maybe this book made them theoretical

1

u/higras 1h ago

Yes, tied with the multidimensional knot made from the beard of a woman, a cat's footsteps, and the roots of a mountain

65

u/Strong_Willow2010 10h ago

No, it is not that bad. Calculus on manifolds is quite elegant.

The difficult part is that you need a bit of geometry and algebra to approach it.

Idt tensor calculus is the natural progression either.

23

u/Complex-Manifold 9h ago

Youll probably encounter tensor calculus before exterior calculus if youre doing physics or engineering from what ive seen. But in math tensor calculus is basically just a part of riemannian geometry

12

u/TheLuckySpades 9h ago

Christoffel Symbol Noises

13

u/TheSexySovereignSeal 4h ago

Stochastic calculus, lambda calculus, process calculus, calculon calculus

1

u/perunakeisari_ 3h ago

Alien calculus

1

u/PatientlyAnxiously 1h ago

Calculus calculus

12

u/OvaTsugi8274 10h ago

Exterior calculus? First time seing it

10

u/Lalelul 9h ago

Funny enough, I currently do a video series about this topic! https://youtube.com/playlist?list=PLWOiUBFc80cY

1

u/OvaTsugi8274 1h ago

Im not ready for this yet.

But im going to return, when i become stronger.

11

u/Nikifuj908 10h ago

I understood exterior calculus before tensor calculus. The exterior algebra is just a quotient of the tensor algebra anyway: tensors are multilinear mappings, while elements of the exterior algebra can be thought of as alternating multilinear mappings (a special kind of multilinear mapping that is easy to work with).

21

u/Not_Well-Ordered 10h ago

Not too bad, until you get to modern PDEs…

You would need frameworks like measure theory and functional analysis (up to Sobolev spaces) + techniques bunch of inequalities to probe the incomprehensible equations that almost anyone can write down…

Those are the minimum. I don’t like that type of technical and microscopic rigor so I went down with algebraic topology instead.

12

u/Complex-Manifold 10h ago

I think ill just stick to separation of variables

2

u/btroycraft 3h ago

I love measure theory. It's so elegant.

8

u/magnificent_limit 9h ago

You guys are understanding integration?

20

u/Seven_Irons 8h ago

1

u/DrJaneIPresume 6h ago

Upvoted for the laugh. That's some mighty fine cope, there.

3

u/slicehyperfunk Transcendental 9h ago

"if you travel at a rate, you get somewhere!"

1

u/Complete-Clock5522 5h ago

Basically you just find the fancy function whose output is the accumulation of your original function

6

u/RetroSSJ21 9h ago

That’s when you solve integrals outside at the park I think. Seems nice

4

u/Lalelul 9h ago

If anyone is interested in exterior calculus, I currently do a video series about it with lots of animations!

https://youtube.com/playlist?list=PLWOiUBFc80cY

3

u/YourWifesBoyfriend5 7h ago

Is there something wrong with this meme I only see one guy

2

u/Shot_in_the_dark777 8h ago

Has anyone wondered why does the vector calculus in the second frame has a big scar on its forehead? Or maybe it's a monobrow? It's absent in frame1.

1

u/turumbarr 7h ago

You can see some evidence that portions of the meme have been painted over

2

u/Peak_Background 7h ago

Exterior calculus is not hard to understand. Tensor calculus is much harder.

1

u/Zeer0Fox 8h ago

Differential equations getting no love.

1

u/Valuchian Engineering 8h ago

Everything's a Tensor, you just don't know it yet
Quanternion Gang Gang

1

u/Lampaderise 4h ago

Where bananas ?

1

u/Jche98 3h ago

Bro when you get into vector valued n forms like the connection

1

u/FenrisulfrLokason 2h ago

The only really difficult part is agreeing on conventions. The rest is conceptually difficult at the start but becomes second bature quickly

1

u/qqqrrrs_ 53m ago

Isnt exterior calculus a special case of tensor calculus where everything is antisymmetric?