What is a Vector Space? (Abstract Algebra) 

But she might be learning it in a way like you did: hearing those boring lectures. Yes, sometimes it is, but by that a lecturer wants you to start doing something by yourself - to put more efforts.

@@philosophyversuslogic Nah. It's just hard to get people who are really good at somethng AND also good at explaining/teaching it, WITH the inuition to understand the pain points from the point of view of the student. Truth is students are given textbooks, boring lectures, teachers who don't have the time or ability to explain things, and no time to properly learn. The vast majority of professors are simply doing a job they must do (ie. get through x amount of material in y amount of time). You are excusing their utter dogshit "teaching" practices. Yes, you absolutely need to learn on your own, but having a bad teacher with poor explanations WAISTING YOUR TIME is FORCING you to learn on your own in a way that is not just unoptmial, but harmful to the student. Imagine theres 2 scenarios: #1 Student sits in a 2 hour lecture explaining 10 concepts in which 10% is retained (1 concept), ends up spending the same amount of time if not more trying to understand the remaining 9. The student is confused, and thus must spend an exhuberent amount of time trying to understand. #2 Student sits in a 1 hour lecture in which 2 core concepts are explained WELL, and 8 oncepts are very lightly brushed up on, with recommendations/material offered for the student to study outside of class.

Honestly this channel sets the standard for online education resources.

Easy and simple. Ha. Way to repeat yourself. I find you funny and hilarious.

So easy, y u no da study and no eh prus u failure. Ai yah!

You are so kind, thank you. This is truly our goal - we love math, and we think everyone deserves the chance to learn. We would really appreciate it if you would share our videos with your friends - on Twitter, Reddit, etc. That will really help us grow! Thanks again for watching and for leaving such an encouraging comment. It really makes us excited to make more videos! :)

@@Socratica appreciable

@@Socratica how about some content on homology groups? Eg. Mayer Viertoris sequence etc. I find that stuff difficult to understand.

indeed!!

@eh6794 Vector spaces and modules in pre-calc?

@eh6794 Pre calculus lol, in what university?

@Artificial Resonance How old were you? Was it a private school?

@Artificial Resonance No you didn't lol, this is not part of any European high school curriculum. You probably learned about vectors and operations on vectors, and can't tell those apart from the algebraic structure that is a vector space.

While a theoretical physicist is simply enjoying the debate

An engineer looks at them as looney

@@goyonman9655 Theoretical physicist leaves the chat for PEACE!

In my experience, physicists know the difference between mathematical space and physical space.

@@lauterunvollkommenheit4344 wrong.... "physicists" is a very general term... when u say "physicsit" do u mean experimental, theoretical, mathematical...depending on which physicsit u are, u'll understand and interpret math stuff differently. Cheers!

We're so glad to hear this helped! Visualizing math/physics is one of the best uses of video, we think - it really adds something to your textbook reading that's hard to do just in your head! Good luck on your midterm!! :)

That is so kind of you to say, thank you!! It has truly been a labour of love. We are completely self-taught filmmakers and editors, and it's been a real education! :)

We're so glad you've found us!! 💜🦉

AoE is the bestest of the best. Thanks for making this interesting connection.

You mean Age of Empires ll, right!

More abstractly I tell my students that a vector is just an ordered set of elements {a,b,c}={b,a,c} is a set but (a,b,c) =/= (b,a,c) is a vector.

The "ow" and the pointing vectors were so cute. Makes me wanna hug this lady.

How to get blue shirt like you

We're so glad to hear this! Thanks so much for subscribing - we're so happy you're watching! :)

I understood them right from the beginning in lecture. They are not that difficult.

A B+ in math? Ooh I hope you don't have Asian parents

which physics class are you taking

Lol

You're so kind, thank you for this encouraging message! 💜🦉

@@Socratica Thank you! I wish you had a Linear Algebra series too!

We're so glad you finally found us!! 💜🦉

@@Socratica its a win win for me.. 💕