Intro to Graphics 02 - Math Background

[@RafaelBeckel]

00:00 Math Background overview (Linear Algebra: vectors & matrices - a subset of chapter 2 of the book)
VECTORS:
02:04 Vectors (1D - scalar [x]; 2D [x,y]; 3D [x,y,z]; 4D [x,y,z,w]; nD [x,y,z,w,...]; CG uses mostly 2D, 3D & 4D)
03:47 Notation (column or vertical & transposed or horizontal)
05:00 Meaning (on its own, it's entirely meaningless. Given a coordinate system [context], it can be: a position in space; direction and distance from origin [0,0,0,...])
10:53 Math Notation (lowercase letter with arrow on top; in CG it's usually a bold lowercase letter; for the scalars components: a tiny x, y, z besides the vector letter)
12:06 Length (notation |a| = sqrt(ax²+ay²+az²); unit vector |a| = 1

[@AriaKraft]

There's a small typo around 31:40 in the result matrix. a03bz, a13bz, and a23bz should be a02bz, a12bz, and a22bz

[@jayjohnson6974]

This video was not a waste of times, thanks a lot for this Cem.

[@MA4TU2]

Thank you for the great teaching. I learned more in 3 minutes than hours of watching other teachings!

[@karimgamalali7001]

I like the way you dive in to explain vectors and matrices in detail

[@JebaliJihed-g5c]

Really well taught and educated instructor

[@microdavid7098]

this is a good video. Studying before I touch computer graphics. But also studying because I do a bit of game development as well. The videos just feel super fun

[@burcakgunay]

Hocam çok teşekkür ederiz! Harika anlatıyorsunuz!! Withdrawlayacağım derse sayenizde sonunda çalışmaya başladım

[@Geffro]

thank goodness we're reviewing some of this stuff haha

[@theaalicha]

Super interesting! Dont ever stop publishing videos here:)

[@tonye8587]

Really interesting and helpful to attract me for watching a long time! l hope other lessons could be interesting like yours too and make my learning more efficiently cuz l always cannot focus on boring lessons!!!

[@Sir_Pickle]

Thank you for this series. its hard to find introductions to graphics.

[@tufflax]

These seem like great lectures (have not watched much yet) but the sound could be better. If you are giving these course again, maybe consider rerecording the lectures.
EDIT: Now I have watched like 15 lectures, and they are great! I appreciate the effort that went into them. The sound could be better but it's good enough. :)

[@mando2908]

çok güzel anlatmışsınız elinize sağlık

[@MrErererererr]

Super👍

[@gtsianakas]

Your content is gold!!

[@GopalAdhikari]

If you live in the Flatland and you are computing cross product, your head would explode

[@juandiegolugo643]

thank you for the quality content, Cem :)!

[@najhonbanjon]

THANK FOR YOU

[@cesarhimura]

Good explanation about math!

[@kirkmanjames]

Why do you use the term 'Coordinate Frame' instead of 'Coordinate System'? Is there a distinction between the meanings of these two terms?

[@cem_yuksel]

No, in the context of this material, I'm using those terms interchangeably.

[@d_oddy]

I have put on nice headphones for a good experience, but I am saddened!

[@FPChris]

Good stuff

[@mcavazotti]

As someone who’s not from the USA, I can totally relate to your comment on metric units