Intro to Polar Coordinates

[@amber1862]

Your content is seriously just amazing, and I truly appreciate how much effort you put in to these videos, let alone your consistency. I've watched so many videos without commenting, so I just wanted you to know that it doesn't go unnoticed and I'm sure many others feel the same. Please keep it up!

[@itsonlystars]

Finally after several decades, I understand how this all fits together! Thanks!

[@carolinavendano]

Trefor, your great content has become the base for my university Calculus class. Now that we have to take our lectures remotely, resources like the ones you create have helped us understand all the concepts. My whole class is advised to watch your videos. Thank you so much.

[@carolinavendano]

@@DrTrefor For sure, it is University of Calgary

[@a.koomson]

Trefor, you're seriously doing God's work. The way you explain this concept makes it feel so tangible. From this lesson, I learned that the actual plane being examined remains fixed, however you can place different coordinate systems onto the plane, which will in effect change the way you describe different locations on the plane. The implications of this idea is so cool and mind opening. Thanks lots.

[@lifeforever1665]

The Only Video on Polar Coordinates ❤❤❤

[@jimmygore8214]

Once again I am commenting how amazing your lessons are, Students around the world will be better off and more knowledgeable because of you

[@pranavrohan5359]

best video to clear all your concepts on this cartesian and polar coordinates! thanks, Mr. Trefor that was a great video.

[@WorldTrotterHereandBeyond]

Good job!

[@kaweaakuna7325]

You know what's crazy? I listen to you for a few seconds and get what I was looking👀 for💎 Again thanks💯 for helping me remember😂😂😂😂😂😂

[@yogesh1px]

Thanks a lot, Great job!! thanks for being my teacher

[@kaweaakuna7325]

Apple pie + 😂😂😂😂😂😂😂 Cartesian🔥🔥🔥🔥🔥🔥 You don't even know what a blessing your channel has been in helping me out💯

[@morbidreality4909]

You deserve more man

[@akshaj1236]

recommended video for last minute preparation , covers the required knowledge within a span of 10mins ..... gg

[@MohammadRezaFallahzade]

High Quality Content Like Always . Thank You.

[@petruspetrusuom3342]

Obviously you understand what you say.. which is quite rare. Good video.

[@elianpulido3360]

you're simply the best

[@viniciusdeobber8239]

Great content professor, thank you for helping me on calc 3

[@DrTrefor]

happy to help!

[@martincdt]

Really useful, thanks for the knowledge !

[@SalemKorayem]

Very nice and clear.

[@unknowngirl2714]

Holy shit, thanks man!

[@madhumithatk8681]

This is the best:-)Thanks a lot Mr.Trefor😍

[@DrTrefor]

You're most welcome!

[@labloom5254]

Thank you this was very helpful

[@markbell8967]

Great video, again.

[@نسرينمصطفىالعليمات]

Very Nice, Please Dr. I want to ask you about the program that you used to illustrate the lessons how we can draw the angle same as you did, how do I make it move like this

[@wolffang3986]

Thank you for the video clearing up a difficult concept!

[@panagiota4298]

Another really helpful video!!! You truly reveal the beauty of maths. (P.S. where can I find more info about these special triangles in trigonometry? I found them fascinating :))

[@markkennedy9767]

If we use a polar coordinate system whose origin is either 1) moving with uniform velocity or 2) accelerating or 3) itself moving around another fixed point, can we use Newton's second law in the r hat and theta hat directions. I suspect we can still do so in case 1) but not if it's accelerating in 2) and 3). If not, how would we deal with such a system with an accelerating origin: I'm thinking something like a spinning ride on a carousel. Hopefully you can comment on this. Thanks.

[@belaerdens4848]

great video!

[@gurkiratsingh1216]

Great job sir

[@vijaysinghchauhan7079]

With polar, we have a problem with the theta(it's not unique) so how do we fix it?

[@DrTrefor]

Well that' true, but I don't know if I would call it a problem! We just have to pay attention to it.

[@ricardohincapie1537]

Thank you so much!

[@travishunt8999]

Nice, thanks!

[@AbdusSamad-gh8pm]

Excellent explaination

[@alirezakhorami]

Good Content

[@joeyhood3198]

You are amazing, thank you

[@lukavabin]

Amazing content!

[@harryhppp469]

thanks man! great content

[@robertmcknightmusic]

This was a great video. I wish I understood math better, but I feel like it's so hard to grasp. I always feel lost in math lectures, because I can never tell when it's the conclusion. The presenter makes their point and I'm like, "oh we're here?" sigh

[@sinasoltan.m4859]

I just can't figure out why (-r, theta) and (r, theta) lie on the same line? How can r be negative? base on the grid lines which was sktretched for polar coordinates in the end of your video , r can only be positive or zero😮

[@sinasoltan.m4859]

@@DrTrefor thanks a lot.you deserve the best:)

[@josephogbonna7678]

What is another name of a polar coordinate?

[@janjoska2549]

I always wondered why not start at the positive y axis and positive theta rotate clockwise.

[@carultch]

The idea is that you proceed from +x to +y, in alphabetical order, to start the positive angle. I would guess that x is positive to the right, because most people are right-handed, and y is positive up, since you have to put in positive effort to move upward.

[@kennethhowell5291]

Nothing like listening to someone that knows what they are talking about. You understand going from Cartesian to polar in about a second. Normally with your math teacher their is only one thing that you can count on and that is you are never going to understand anything because they really do not understand the subject they are talking about.

[@DrTrefor]

Glad it helped!

[@vadiquemyself]

I always wondered-what is angle? how is angle defined?

[@saurabhsingh-ow7ue]

thank you sir.....

[@davidcarr5925]

I

[@quant-prep2843]

god sent

[@UncleTiaoTiao]

cool~

[@aashsyed1277]

u r vawesome.

[@yogesh1px]

1 suggestion -keep eye contact continuously 🙂

[@MohammadAbrar-tx3fc]

This is how indians pass the exams

[@Drenov]

Drink less coffee before doing a lecture

[@John-wx3zn]

1 in the y position does not tell me to do one step up. It is just a position. Doctor, don't say either coordinate is giving an order.

[@grass5697]

Why does your beard looks fake

[@DrTrefor]

Cause I glue it on to look cool

[@grass5697]

@@DrTrefor ;-; what..... wait seriously thou is that real XD its really not convincing to me that it is real and I can't stop my eyes looking your beard, making me repeat the video many times to focus on the topic lol

[@SalemKorayem]

Very nice and clear.