Am I the only person that thinks linear algebra was boring? I found it and differential equations to be incredibly, maybe it was because of all the definitions but i dont know, it was just such a fast paced introduction that was also not very memorable in my view.The same thing with differential equations, it was a boring fast paced course that felt very repetitive.Does anybody else hold the same opinions as me? Discuss.
>>16883503>is anyone else a faggot like mesure but i doubt you’ll find them in this thread.
>>16883503Boring or it went over your head? The way you write makes it sound like you just didn't get it, and consequently found it boring.
>>16883654I took engineering mathematics which was both linear algebra and differential equations in one course, it was very boring.
idk I liked eigenvectors
>>16883679OP here, yeah. I like eigenvectors, they are straightforward and easy to do. What i hated were all the proofs and definitions and the tedious matrix computations involved in linear algebra, i really did hate it and so i found it very boring.
>>16883503since nearly all of physics is phrased in terms of linear algebra and differential equations, you sound like a massive dumb fag
>>16883686>linear algebraShow me the linear algebra used in thermal physics and e&m
>>16883691oh, my sweet summer school child
>>16883703You can't, because linear algebra isnt used in e&m or tp, its mostly calculus 3 for e&m and calculus 1 and 2 for thermal physics
>>16883503these classes are comfy because they are mostly calculation. I just follow the algorithm and do the calculations and forget about everything else, in a state of peace and serenity.
>>16883713peak dunning-kruger right here
>>16883725Then show me otherwise.
>>16883503Try numerical linear algebra. Trefethen is great obviously. But there's a bunch of intro books now because of AI slop. "Linear Algebra, Data Science, and Machine Learning" from springer was particularly well-written imo.
>>16883734I believe you, but im more interested in real analysis, i just wish someone made a super concise linear algebra text with unique problems
>>16883691nta but QED uses linear algebra heavily
>>16883820literally every single thing i can think of in physics short of information-based entropy uses vectorspaces
>>16883822I dont see that in e&m at the undergrad lev elbut whatever
>>16883829you have to be kidding.even if you are only studying circuits, the solutions to those differential equations are described by vectorspaces.numeric models of these systems are developed as vector subspaces.vectorspaces permeate all of physics, sometimes multiple layers of vectorspaces on top of each other.physicist eat, breath, and shit vectorspaces.
>>16883832I guess it aint that apparent when 99% of the work done is purely calculus, who gave you the idea that everything is vector spaces, thats completely wrong.Mechanics is differential equations and calculus, so is EM, quantum is differential and algebra and stat mech is nearly all calculus with some probability.Computerizing everything is just using numerical methods
>>16883503The First class in AI is Linear Algebra. Its foundational to statistical modeling.I didnt like it either tho; I prefer applications. Pure math is kinda bullshit imo.
>>16883835t. sophomore
>>16883838I just dont see linear algebra being that important when i have barely used in my classes, except for numerical methods but by then its all applications so the theory gets skipped over.
>>16883841your concept of linear algebra is gaussian elimination or some stupid shithint: linear algebra is the study of vectorspacesevery time you can scale and add things together, you are using linear algebraand the rabbit hole goes very deep and touches everything one does in physics and engineeringlinear algebra isn't something that can be entirely summarized in a little book. there are still open questions about linear algebra to this day.and pretty much all of it is useful. linear algebra is hands down the most useful math i know. i use it literally all the fucking time.
calculus? ha, that's literally the study of linearizations of functions; get close enough to a differentiable function, and it looks like a little vectorspace.
>>16883846>>16883845Im starting to think this is stupid, you are obsessed with LA, i get it. But i dont get how you think everything has to do with it, sorry but i aint buying it
>>16883848eh, why not. name any physics concept and i'll indicate how linear algebra applies.
>>16883675>I took engineering mathematicsOkay, so you didn't actually do any linear algebra or differential equations.
>>16883741>i just wish someone made a super concise linear algebra text with unique problemsThat's the first chapter in about half of the undergrad algebra textbooks.
>>16883946Gay
>>16883503linear algebra feels like cramming a fuckton of completely unrelated topics in one course.one lecture they are talking about infinite dimensional vector spaces then the next they are talking about matrix inversion algorithm time complexity and numerical eigenvalue approximation
>>16884006>infinite dimensional vector spaces>linear algebraFucking larper.
>>16884019>he thinks linear algebra is just matrices and vectorsany reputable linear algebra course gives an intro into infinite dimensional vector spaces.
>>16884060>infinite dimensional vector spaces.You mean functional analysis?
>>16884060How do you even do that lol? Just because the names are similar doesn't mean you can naturally proceed from finite dimensional vector spaces to infinite dimensional vector spaces willy-nilly. You sound like those retards who think function of several complex variables can be done easily like multivariable calculus.
>>16884079>elements of vector spaces don't have to have to be vectors>span of polynomials up to degree p is a vector space>if p is infinity you have an infinite dim space>the span of sinusoidal, aka fourier is also infinite dim space>you can approximate functions with these two bases>functions are infinite dim vectors>some shit doesn't work for infinte dim vector spacesthat's about everything I remember from the lecture on infinite dim vector spaces. it's just introductory and very surface level, like i said
>>16884088Thats functional analysis, take a course in it if you are interested.
>>16884088an element of a vectorspace is, by definition, a vector
>>16883503You probably were introduced to it wrongly.Many schools will introduce it as an arithmetic and avoid the algebraic, analytic, theoretical, proof side completely.I must say I didn't like real linear algebra until I was 19.I thought it was uninteresting at first, it was either completely obvious and uninteresting or totally contrived and without soul.I also think it's totally as backwards, it's perfect time to introduce proofs since algebraic proofs are among the easiest and most intuitive.So I started college young and I was good at math but had no real passion, and it's because of how I was taught. I was just computing shit. I barely understood algebra until I was in my 20s, when I realized how immature and primitive my algebraic mind was.It's an interesting story why I know so much mathematics. I was actually hoping to be an electrical engineer to get a good job but they program was so full I was forced into the physics college and I could do a math degree for free basically. I was hoping to do engineering as a graduate degree, though I never did because by that point I had fallen in love with mathematics, but early math education is poisonous to a proper mathematical mind. I would even go so far to say that undergrad level math courses are among the most dangerous.As for diffy Qs? yes that's boring trash. Even at the graduate level diffy Q courses are utter trash.Just go straight into functional analysis don't even waste your time with the computed shit.I've actually almost been fired because of how I teach ODEs. But for LinA I'm very passionate about the proper path, focusing on geometric and algebraic intuition, avoiding useless computations. This isn't an accounting class.Of all the things we should take for granted it's the labor already put into arithmetic computations. Understand the structure and avoid the computation, that's slave work (they don't like it when I say that).
>>16884241terrible advice, terrible post
>>16884243>t. diffy Q fansorry but differentials equations are not interesting.
>>16884070>>16884149Functional analysis is about topological vector spaces, you dunce. Any decent linear algebra class will discuss infinite dimensional vector spaces, without needing to give them a topology.
>>16884241>>16884248>Linear algebra good>Differential equations badNigger, 90% of differential equations is linear algebra.
>>16884248physics is literally a huge pile of PDEsyou just called all of nature "uninteresting"you opinion can safely be laughed at as being retarded and discarded
>>16884255>Nigger, 90% of differential equations is linear algebra.No, 90% of YOUR differential equations is linear algebra, but yet not even and just barely.It's ridiculous how arrogant and pretentious I feel in this moment and almost no one would understand.I live such a lonely and isolated life, my mom would say that not even half of me was from earth.I guess that's why I pass all my students who try.>>16884258>you just called all of nature "uninteresting"yes
>>16884300Im interested in creating and analyzing semiconductors, is physics the right field for me
>>16884310that and electrical engineering
>>16884348What can the electrical engineer do that the physicist can't? Honest question.
>>16884366physics is more geared towards basic scienceelectrical engineering is more geared towards making devicesboth are pretty interchangeable as backgrounds for getting into semiconductors, but not the lab spaces so much nor the cash moneyin my experience, nearly all my ee grad friends had physics backgrounds
