Vector Calculus Introduction

[elementsw1]

you are a nerd!!!

[shaneymane15]

I was looking for 400-level calculus not 3rd semester calculus

[samrudi]

lol sounds like he said tree-dimensional! but i used to have to go to a speech teacher in elementary school because i could not pronounce certain things like vacuum and van and stuff. also im american (well im german and swiss but i was born in oregon where 90 maybe 95 percent of people speak english) im talking too much.....

[Carlitos89ify]

i cant understand some of what he says :B

[MrGoogoo52]

white and nerdy brought me here

[MrAvengersAssemble]

You should just do the math instead of just talking for the first 3 minutes...

Additionally instead of saying i,j,k are components, you should start off with the fact that they are standard basis vectors, unit vectors along the x,y,z axes. Everything else are simply multiples of the standard basis vectors.

Although some people will say why don't I put up my video or shut up, I'm just stating the obvious.

[Gemparkzz]

@MrAvengersAssemble i agree with you

[hysperiona]

You made it a whole lot clearer to me! awesome introduction!

[hysperiona]

he looks like harold from harold&kumar!, anyways, i wish i was a fraction as smart as you!

[Muckincontemplation]

hey don, your great, but could u focus the camera to the board, I cant see what your writing, I dont know about the others, but I understand better when I can actually see the equations.

Sorry.

student doing CE in CUHK

[robo2000nitro]

good video and dude you sound so much like bruce lee

[objective33]

what is your IQ? What is your profession? How much do you make? Do you dedicate your life to math?

[exmiranda]

do u have any videos for high school students doing vectors

[aztips]

I see some drums at the bottom of the screen...should have given us a groove or solo and the end of the video!!!

[trese0000]

You may want to consider zooming in on the whiteboard or either bringing the camera closer. Thanks

[2112dim]

Aren;t these functions called vector functions?

[davidewetube]

Sir, if you know calculus, then it should only take you half an hour to learn basic powerpoint. and get a better microphone too. This good lecture could be great if you just put a little work into the presentation. thank you.

[eedahl]

Powerpoint and mathematics lectures do not go together at all.

[joehue13]

good thing that he speaks clearly...

what is written on the board is not clear...

sorry...

i'm a visual learner so basically i learn if i can see the solutions step by step than plainly listening...

this this video helps.. somehow..

[pinkunath]

i find very useful ur lecture series. thanx dude

[tomafornian]

you are THE MAN donylee!!!!!!

[yunmi123]

hey i love your videos very helpful :)

im doing calculus and vectors and having a very hard time in vectors. they teach vectors in high school now and it is a mendatory course so i was wondering if you can have a tree of subjects and go over the basics. thank you~~

[kiaranr]

You said if you plotted all the points in your multi-variable equation you would get a 2d curve living in a 3d space. I think you would actually get a 2d manifold living in a 3d space. Like a wavy blanket then never folds over itself.

Thanks for the video though. I'm teaching myself mult-variable calculus and it helps to hear other's explain it in their own way. Cheers!

[balayogam]

I like your videos. It is very helpful for those who need good hand to climb up on their interests to learn mathematics.

[LongShlong125]

Hey, Dony I have a suggestion\request for you ,Many(well I hope so) people who watch your videos are high school students who just study math for it's own sake on the internet, it would be very nice to have a "tree of subjects" like what's based on what and what

[tempetiger]

I noticed you were using a left-handed cartesian coorinate system in this video. Is there any particular reason for this? Most literature I've seen uses the right-handed xyz coordinates.

[donylee]

NO reason at all. I just wanted to draw a xyz coordinate system, paid not attention to Left hand or right hand system.

[hanshv]

hey dony leee.

I am about to teach multivariable calculus , which textbook would you recommend me ? thanxs

[JackWilsonVideos]

@tempetiger i noticed he was asian. this adds to his credibility so much

[danieldraco2000]

PLEASE tell me are the videos you post normal highschool calculus or they are for university or olympiad?

[donylee]

They are certainly not high school calculus. Yup, my videos are for freshman level mathematics and a little olympiad training.

[throwbakman]

hey, i love your videos! im curently working on basic calculus. wat do you recomend i study? just work on calculus skills or wat

[donylee]

Calculus, there is a BIG subject. Since you are starting out on the basics, I usually say the same thing to all those who ask me.

I have sent you a personal message. Go and check.

[tdusffx]

keep up the good work man. I actually understand it now.

[pickitupp]

Hey, I'm going to be starting multivariable calculus I in a few days and I'm very scared! I haven't done a single math problem all summer and have forgoten many of the methods of integration i learned last semester :o Well, thanks for these videos, and when the new semester starts I hope they turn out to be helpful for me.

[donylee]

Hey Pickitupp,

Glad I could help. May I remind you that these videos are mainly on VECTOR CALCULUS, not entirely similar to MULTIVARIABLE CALCULUS. For a closer look at multivar cal, check out my calculus videos - Kepler's laws, Wallis's product, and Leibniz quest for pi. You should get a healthy does of integration techniques and meanings.

Lastly, I am planning to do some multivariable calculus techniques - partial derivatives, surface integrals, etc. Stay in tune.