In calculus II we learned multivariable functions, and you need the Hessian matrix and its determinant to be able to tell if a scalar-valued function has a local minimum or maximum at a given point, for example. It's not heavy stuff, but it would be strange for someone who knows nothing about linear algebra.
How can I teach myself advanced mathematics?
Jordan Baker
Juan Bailey
I took community college calc 1-3 and we never learned the Hessian matrix. This is the first I've seen anyone suggest linear algebra before finishing calc. Not that there's a good reason to wait (although MIT linear algebra seemed to carry the implication that everyone knew diffeq in one lecture), but did I go to the weird school or did you? Merica here.
Nathaniel Mitchell
EU here, physics undergrad btw. These things are really intertwined for us, like we had our first diffeq course in the second semester, yet we basically solved a bunch of diffeqs as part of our mechanics course in the first one, and we also had to learn differentiation in the first 3 mechanics lectures (or at least those of us who didn't learn it in high school for one reason or another), even though we only got to it in the second half of the calc 1 course. Also matrix functions, diffeqs and Taylor-series were mentioned in our linear algebra course (it was a linear algebra+vector calculus course, because physics).
Andrew Young
At our university it was pretty straightforward.
Cal 1: introductory integration differentiation
Cal 2: techniques in integration infinite series
Cal 3: multivariate Calculus, (some determinants and matrices but it was so elementary.)
I took my classes in this order cal 1, cal 2, cal 3 & diff eq, linear algebra, proofs.
I wish I would've taken linear algebra prior to Differential Equations in retrospect. I suffered so much but linear algebra was a breeze after that.
Julian Phillips
Grayson Martinez
1. Go to library.
2. Find all volumes of Bourbaki.
3. Start studying the volumes in order.
4. Profit!
Benjamin Diaz
>study math
>profit
Bentley Bell
>Lay
>advanced
dude, that's like the #1 book for LA if you don't want to deal with proofs or autistic shit and want a book that focuses on applications rather than theory
Bentley Rodriguez
Math feels so "scattered", how the fuck does it all connect? It always feel like a bunch of rules that came from fucking nowhere
Jackson Cruz
You first start with building the idea of natural numbers, then slowly add more autism. Ofc this will be a waste of time to do every time you want to do any mathematics beyond simple arithmetic so most of it is just assumed. Which makes everything feel scattered because the entire foundation is pretty hidden from you.