What comes after multi variable analysis and linear algebra?

>>7672358
ODEs, PDEs, Fourier analysis, complex analysis, abstract algebra, topology, differential geometry

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Numerical Analysis

>>7672358
ODE's
PDE's
Differential Geometry; which uses both multvariable calculus and linear algebra

>>7672358
Probability theory, infinite sums, complex numb analysis and operator calculus

>>7672362
What about for a physicist? Already covered ODEs, PDEs and Fourier

>>7672390
complex analysis, abstract algebra, topology, differential geometry, Riemann geometry, functional analysis

>>7672394
Thank you mate, I'm actually enjoy my maths classes more than the physics ones atm, feels bad man

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>>7672390
>Already covered ODEs, PDEs and Fourier
Really? Because that stuff is FAR above multi variable analysis and linear algebra. Why would you even mention them in this case?

Surely you can solve exercises like pic related, right?

>>7672415
He's not OP

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>>7672415
Maybe I'm retarded but are these not a 2nd order ODE and a Fourier expansion? Covered PDEs in Thermodynamic Potentials too

>>7672413
Double major?

>>7672457
Nope, I'm in the UK so I think it's slightly different

>>7672439
That would be like saying you know Real Analysis if all you can do is calulate the derivative of f(x)=x^2.

>>7672470
Calculus follows from real analysis?
Why do we do calc first?

>>7672504
Because it's easier to understand the motivation for an abstraction after having worked with the "concrete" version. That's the reason why they don't teach abstract algebra to kids in preschool before teaching them arithemetic

>>7672738
In kindergarten we only used integers until we were taught Cauchy sequences.

here ya go. go all the way to this "end" and then create your own "end":

http://www.superstringtheory.com/math/math1.html
http://www.superstringtheory.com/math/math2.html
http://www.superstringtheory.com/math/math3.html

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>>7672439
>saw one Fourier expansion
>"Yeah I covered Fourier analysis already."

This is why /sci/ needs to be 21+.

man I wish I was at you guys-es level at math

just started college so, have a long way to go

>>7672439
holy shit fuck you for being a physicist and thinking this way. you have no concept of functional analysis, hilbert space, schauder basis, you don't know shit about fourier series yet.

>>7672799
why wouldn't you be able to use rational numbers before Cauchy sequences?

>>7673159
Maths and physics use the same tools for different things, you don't need the same rigor