>>7953197
The Jacobian Conjecture is a nice problem. Quite slippery.

https://en.wikipedia.org/wiki/Jacobian_conjecture

A condensed study of traditional results for the 2-variable case (which is believed to be true) can be seen in Makar-Limanov's "On the Newton Polygon of a Jacobian Mate".

>>7953197
I'm in uni, just finishing up Linear Algebra and Diff EQs. I'm majoring in electrical engineering, is there any point in taking any other math class, or am I just wasting my time?

>>7953197
I prefer lewd math over pure. [eqn]\mathbb{A} = \left( \begin{array}{cccc}
L & O & L & I \\
I & L & O & L \\
L & I & L & O \\
O & L & I & L
\end{array} \right)[/eqn]

Really nitpicking here, but
>unsolved theorems

You mean conjectures. Conjectures become theorems when they are proved.

As for open problems, Wikipedia has a nice list

https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics?wprov=sfla1

>>7953229
I've heard there's applications to EE in Modern/Abstract algebra, but you need to know how to write proofs (via the class intro to math proof).

If you go talk to the head of the math department he might let you take modern algebra without math proof, but you'd have to learn how to write proofs on your own.

>>7953229
complex analysis is a must, no? we had to take it.

I'm an EE too (2nd year) and these are what we've covered in maths so far:
>lin alg
>diffy qs
>applied complex analysis
>multivar/vector calc
>stats
>discrete (algos, data structs, complexity)
>numerical analysis
>fourier/laplace/dft/z transforms