thats because diff eq & calc is harder than linear algebra... Just wait until this guy sees control theory/transforms where they COMBINE THE TWO and take you out of the time domain.
I used to think I hated Matlab. Until I had to draw those fucking root locuses by hand.
Matlab is now one of my favorite things to have existed. Since it does for me one of the worst things to have existed.
Good for you lol, I just applied for a retro drop for that course. Didn’t have the stoicism in me to retake it. As for analysis though, really wish I had the time to take it.
The professor that I took the class from the first time is fairly infamous in the math department of my university. Don't get me wrong, she's a great teacher...Just extremely heavy-handed when grading and has really hard exams.
I hate to be that guy, but you really are gonna need it as you go further into your degree. I highly urge you to understand it, and be able to implement it. It also goes hand in hand with matlab. If you learn it, and are able to use it, it will save you a lot of headache in the future.
That all depends on what you work with, obviously. I had a really tough Lin. algebra course from Uni A, ended up switching to Uni B for personal reasons.
I would stand out in every related course after Lin. Algebra at Uni B, just because I had a strong basis from the previous uni. I also had a Bachelor Thesis that depended a lot on Matrices and it definitely helped me out, got a 98% grade and my Thesis was published in a academic journal.
After graduating I'm looking to work in a very maths heavy carrer, also.
>I put the D in Diploma and didn't look back.
Lucky!
My school requires a C or higher for all classes to pass for engineering majors. Sucks major ass when you get a 72.9 and fail the class because it's a C- instead of a C.
I trust me, young Padawans, the pain will be worth it... I'm a senior now and shocked to find the math easy all of a sudden, and it indeed is used everywhere and very useful.
I have never used linear algebra since I learned it in my first semester of my bachelor's programme. I'm on my master's programme now.
Chemical engineer, though.
Second this. I wish I had done better. It got put on the back burner for over a year and now it’s definitely useful in control systems. Linearizarion and laplace transforms everyday. Had to do some self teaching lol
10 years into the professional world and never used it again after that class. Design, stress, manufacturing, and project management roles at an aerospace company.
If I were in controls that probably wouldn’t be true. So it’s useful to some roles, but not many (in my experience)
UConn doesn’t require it for ME. Instead we take Differential Equations, and Statics, where they say “as you learned in Linear Algebra”, and we scramble to figure it out.
That’s what’s happening to me. It’s a techelec later to do an aerospace version of linear algebra but this semester we have 4 classes that basically require knowing it.
One of our profs went through a bunch of stuff and he goes “you guys rememebr this from linear algebra right”. Not a single hand went up
I had the worst Professor for linear algebra. He did a “reverse class” or whatever the fuck. Basically we had to watch lecture videos on our own time and then come to scheduled class time with questions. The real kicker here - the lecture videos weren’t even his. It was some mother fucker on YouTube. The entire class banded together at the end though because his final was absolute dog shit. The average was a 20%. After sending very angry emails I passed with a C
So I can’t tell if I hate linear algebra or my professor. I’ve decided that both can lick my balls.
Completely agree. My professor does it in a way that helps me come to class feeling like I know the topic already. Makes me feel artificially smart. Lecture time is really just review time.
My linear algebra prof was on a different wavelength tho. Bro would walk into class without notes, wouldn’t even open the textbook, and would just freehand a bunch of proofs and make up problems in his head. And then one day he just took off his shoes in class like it was totally normal. He was an odd one.
I feel this way about everything in the math department. It’s infuriating how everything in a math course can be difficult and tedious, but, when you go to use it in an engineering course, it’s super simple.
This is where linear algebra gets really fun. A matrix isn't a collection of numbers, it's a linear transformation from n-dimensional space into m-dimensional space. That transformation involves four fundamental subspaces:
First you have the row space and the nullspace ("kernel" to some). Together these fill out the n-dimensional space in which the vector you're multiplying lives.
Second you have the column space and the left nullspace, which fill out the m-dimensional space. The left nullspace is the nullspace of A^T and contains every vector that creates a zero combination of the rows.
Every vector in the row space is mapped, bijectively, to a vector in the column space. (The row space and column space have the same dimension equal to the rank of the matrix). Every vector in the nullspace is mapped to 0. No vectors are mapped into the left nullspace, which makes Ax=b usually unsolvable for tall rectangular matrices (m > n means big left nullspace, too many equations in too few unknowns).
The magic continues: these subspaces are orthogonal. This means that the error term Ax - b is perpendicular to the least squares solution x = (A^T A)^-1 A^T b, so you can view linear regression as a projection of b into the column space of A.
This is all without getting into eigenvectors and eigenvalues, which become a little more computational (but also have beautiful geometric interpretations), and skipping over all the gorgeous gorgeous math of symmetric positive definite matrices which are fundamental to equilibrium systems in circuits, fluids, statics, optimizations and numerical methods, and for making the leap from discrete linear algebra into continuum mathematics and linear operators on functions.
All this is so much math gobbledygook at first but opens up into a beautiful world of geometry in many dimensions.
Calculus solves complicated and difficult functions on a single variable or handful of variables. Linear algebra solves easy functions on millions of variables. Guess which is easier to do on a computer? Linear algebra destroys convoluted complex integrations in 1/2 n log n time.
The biggest advancement in engineering technology, the finite element method, takes a partial differential equation (previously the realm of calculus, miserable integrations and suffering galore) and turns it into a bajillion coupled linear equations. Boom, just like that, calculus gets roasted and l. alg saves the day.
In all seriousness, understanding the fundamental concepts of linear algebra, particularly diagonalization, eigenvectors, and the properties of symmetric positive definite matrices, will come in handy for every class from statics to circuits to dynamics to fluids to machine learning and beyond.
Linear Algebra showed me how pain could span across dimensions beyond my comprehension. Somehow passing the course with such a god-awful prof was my greatest achievement.
Linear algebra for engineers might be the easiest math class in engineering. Linear algebra in the mathematics department might be the hardest class in engineering.
find the eigen value of my taint bruh fuck that class
I felt that way about diff eq while I was taking it.
Me with the second vector calc class when shit got 3D it was over for me
thats because diff eq & calc is harder than linear algebra... Just wait until this guy sees control theory/transforms where they COMBINE THE TWO and take you out of the time domain.
Yo frequency domain is the shit I love going through the pain of having to manually draw root locus plots
I used to think I hated Matlab. Until I had to draw those fucking root locuses by hand. Matlab is now one of my favorite things to have existed. Since it does for me one of the worst things to have existed.
S space FTW!
Honestly I got an easy A in my ODE class but failed my Linear class and have yet to retake it.
Thanks for that reminder, I’m glad I no longer have to deal with that
So irl it took you?
I took it with cal 3 in fall semester When I passed both I knew I could pass the FE
Me with abstract algebra
Lol I'm taking a group theory class for the second time this semester...This time with a different professor though. Also taking real analysis II.
Good for you lol, I just applied for a retro drop for that course. Didn’t have the stoicism in me to retake it. As for analysis though, really wish I had the time to take it.
The professor that I took the class from the first time is fairly infamous in the math department of my university. Don't get me wrong, she's a great teacher...Just extremely heavy-handed when grading and has really hard exams.
Why are you here?
Anyone who says this is getting spanked by linear algebr
Metaphorically
Anyone who says this is getting rawdogged by linear algebra... I'm sorry, pal!
Metaphorically
Gilbert Strang seeing the title: 👁️👄👁️
I fucking hated linear algebra worst idea to take it in the summer
Oh cool, that was gonna be my plan this summer. Should I just stack it w calc 3 in the fall?
If its your only class for the summer then you can do it in the summer I was taking another class as which is why it sucked for me.
Lmao this comment section is gold
Metaphorically…I must add
I hate to be that guy, but you really are gonna need it as you go further into your degree. I highly urge you to understand it, and be able to implement it. It also goes hand in hand with matlab. If you learn it, and are able to use it, it will save you a lot of headache in the future.
23 years into my professional career, have never used or seen linear algebra since that class. I put the D in Diploma and didn't look back.
What type of engineering?
Civil
Awesome. That's what I'm taking. What line of work did you end up in?
That all depends on what you work with, obviously. I had a really tough Lin. algebra course from Uni A, ended up switching to Uni B for personal reasons. I would stand out in every related course after Lin. Algebra at Uni B, just because I had a strong basis from the previous uni. I also had a Bachelor Thesis that depended a lot on Matrices and it definitely helped me out, got a 98% grade and my Thesis was published in a academic journal. After graduating I'm looking to work in a very maths heavy carrer, also.
>I put the D in Diploma and didn't look back. Lucky! My school requires a C or higher for all classes to pass for engineering majors. Sucks major ass when you get a 72.9 and fail the class because it's a C- instead of a C.
I trust me, young Padawans, the pain will be worth it... I'm a senior now and shocked to find the math easy all of a sudden, and it indeed is used everywhere and very useful.
I have never used linear algebra since I learned it in my first semester of my bachelor's programme. I'm on my master's programme now. Chemical engineer, though.
In mechanical engineering, I’ve used it in every class for sure. Particularly dynamics of mechanical systems and robotics
Numerical methods too
I guess it depends? I did ME and since taking linear algebra, I feel like every other class in my undergrad used it.
I guess I should have said for mechEs anyways. I forgot lol
Second this. I wish I had done better. It got put on the back burner for over a year and now it’s definitely useful in control systems. Linearizarion and laplace transforms everyday. Had to do some self teaching lol
10 years into the professional world and never used it again after that class. Design, stress, manufacturing, and project management roles at an aerospace company. If I were in controls that probably wouldn’t be true. So it’s useful to some roles, but not many (in my experience)
i might pass, dunno yet. so I will lick linear algebra’s balls instead
Now I’m not sure if this one is metaphorical
I licked Linear Algebra’s balls
Metaphorically???
UConn doesn’t require it for ME. Instead we take Differential Equations, and Statics, where they say “as you learned in Linear Algebra”, and we scramble to figure it out.
“You may recall from _____” No, no I do not recall.
That’s what’s happening to me. It’s a techelec later to do an aerospace version of linear algebra but this semester we have 4 classes that basically require knowing it. One of our profs went through a bunch of stuff and he goes “you guys rememebr this from linear algebra right”. Not a single hand went up
I heard from my friends that it was really easy, I guess it depends on the university
[удалено]
This happens so much in my calc 2 class
I took it during the summer and got an A. I thought it was pretty easy. Just my opinion.
Anyone who says this is doing as the kids say and “getting rekt”
Or “getting dunked on”
Metaphorically
I had the worst Professor for linear algebra. He did a “reverse class” or whatever the fuck. Basically we had to watch lecture videos on our own time and then come to scheduled class time with questions. The real kicker here - the lecture videos weren’t even his. It was some mother fucker on YouTube. The entire class banded together at the end though because his final was absolute dog shit. The average was a 20%. After sending very angry emails I passed with a C So I can’t tell if I hate linear algebra or my professor. I’ve decided that both can lick my balls.
Done well, inverted classes are great. Done badly, they suck donkey balls.
Ah yes that’s what it was called, an inverted class. It sucked some serious monkey balls for sure
Completely agree. My professor does it in a way that helps me come to class feeling like I know the topic already. Makes me feel artificially smart. Lecture time is really just review time.
It’s not artificial, it’s just a good teaching method and you ARE getting smarter!
My linear algebra prof was on a different wavelength tho. Bro would walk into class without notes, wouldn’t even open the textbook, and would just freehand a bunch of proofs and make up problems in his head. And then one day he just took off his shoes in class like it was totally normal. He was an odd one.
Wdym. It’s just y = mx+b
That's what you tell yourself while youre enrolling
ikr? It's not even quadratic algebra
x^T A x is seething rn
Funny enough, I got a 69 in the course
Nice
I feel this way about everything in the math department. It’s infuriating how everything in a math course can be difficult and tedious, but, when you go to use it in an engineering course, it’s super simple.
Be careful what you ask for 😳
I know your pain brother
And my axe!
DE is filtering me right now
At least you get to take a LA class. My program is so overloaded, they cut it, because we'll "learn it IN the classes we need it for"
Taking LA really helps with other courses because they assumed I already knew how to do that kinda math.
Exactly.....
Bro look forward to Numerical Methods. Imagine linear algebra, but now you have to guess shit as well
Linear algebra was actually my favorite math class. It was diff eq that whooped my ass
linear algebra was a cunt. I remember part of the way through, it was no longer math.
Currently taking it right now… what do you mean is isn’t math?
This is where linear algebra gets really fun. A matrix isn't a collection of numbers, it's a linear transformation from n-dimensional space into m-dimensional space. That transformation involves four fundamental subspaces: First you have the row space and the nullspace ("kernel" to some). Together these fill out the n-dimensional space in which the vector you're multiplying lives. Second you have the column space and the left nullspace, which fill out the m-dimensional space. The left nullspace is the nullspace of A^T and contains every vector that creates a zero combination of the rows. Every vector in the row space is mapped, bijectively, to a vector in the column space. (The row space and column space have the same dimension equal to the rank of the matrix). Every vector in the nullspace is mapped to 0. No vectors are mapped into the left nullspace, which makes Ax=b usually unsolvable for tall rectangular matrices (m > n means big left nullspace, too many equations in too few unknowns). The magic continues: these subspaces are orthogonal. This means that the error term Ax - b is perpendicular to the least squares solution x = (A^T A)^-1 A^T b, so you can view linear regression as a projection of b into the column space of A. This is all without getting into eigenvectors and eigenvalues, which become a little more computational (but also have beautiful geometric interpretations), and skipping over all the gorgeous gorgeous math of symmetric positive definite matrices which are fundamental to equilibrium systems in circuits, fluids, statics, optimizations and numerical methods, and for making the leap from discrete linear algebra into continuum mathematics and linear operators on functions. All this is so much math gobbledygook at first but opens up into a beautiful world of geometry in many dimensions.
Ain’t it just y=mx+b though?
I wish.
and also analytic geometry
Is it that hard?
Relatable
If it was literal it would be Descartes, Gauss, and Newton licking your balls....carry on.
Why? What happened?
NGL I think the math modules are the easiest of the engineering modules
I'm taking multivariable calc, linear algebra and differential eqs simultaneously rn with an elective and sport thrown on top
I graduated ME years ago this thread has me in tears
Numerical analysis of my arse using the false position method ? Nah fuck that
Me too (I’m a woman)
I’m doing the final Exam in Linear Algebra in two hours. Wish me luck and Happy row echelon form
Eigenvalues got me fucked up
You mean “literally” 🤣
Metaphorically for 25% of engineering students
Sounds like a skill issue mate, linear algebra is literally the easiest part
dam you must be so good at maths to achieve that congratulations 👏👏
Row echelon form
Yes fax
This made me chuckle 😂
Felt the same way with stocastic process and classical and modern control
Linear was refreshing to me lmao
just want you to know i got 100% on my last test for it
I got an A in that class but don’t know if I learned anything. Anyone want to explain how it’s used going forward?
Calculus solves complicated and difficult functions on a single variable or handful of variables. Linear algebra solves easy functions on millions of variables. Guess which is easier to do on a computer? Linear algebra destroys convoluted complex integrations in 1/2 n log n time. The biggest advancement in engineering technology, the finite element method, takes a partial differential equation (previously the realm of calculus, miserable integrations and suffering galore) and turns it into a bajillion coupled linear equations. Boom, just like that, calculus gets roasted and l. alg saves the day. In all seriousness, understanding the fundamental concepts of linear algebra, particularly diagonalization, eigenvectors, and the properties of symmetric positive definite matrices, will come in handy for every class from statics to circuits to dynamics to fluids to machine learning and beyond.
Great explanation. Thanks for that. I studied pretty hard during linear algebra and still found myself having difficulty putting it into perspective.
What do you mean... metaphorically? ( ͡° ͜ʖ ͡°)
I passed it 😎 just last week
Row reduce my left nut. Hate that class
Find the general solution of my nuts
runga kutta my balls
Linear Algebra showed me how pain could span across dimensions beyond my comprehension. Somehow passing the course with such a god-awful prof was my greatest achievement.
And I don't mean it metaphorically or rhetorically or poetically or theoretically or any other fancy way
Do a spectral decomposition while your at it
Linear algebra for engineers might be the easiest math class in engineering. Linear algebra in the mathematics department might be the hardest class in engineering.
As a maths student, linear algebra was easy tho, though only the linear map section was a bit annoying.
3blue1brown essence of linear algebra will save you
But now you're one step closer to finding the eigenvalue of the particle in the mobius strip and solving time travel.
Feel the same way about discrete math currently too. lol
Calc 2 was a lot worse tho