Intro to Polar Coordinates

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Polar Coordinates are great for functions with lots of periodic symmetry to them like sin and cos. In this video we will describe the new coordinate system, contrast it with the familiar Cartesian coordinate system, and derive the formulas to convert between Cartesian and Polar. Finally, we'll investigate what "gridlines" will become in the new coordinate system.
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Опубликовано:

28 авг 2024

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Комментарии : 63

@amber1862 5 лет назад

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 2 года назад

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

@lifeforever1665 4 месяца назад

The Only Video on Polar Coordinates ❤❤❤

@carolinavendano 4 года назад

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 4 года назад

@@DrTrefor For sure, it is University of Calgary

@a.koomson 3 года назад

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.

@pranavrohan5359 3 года назад

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

@jimmygore8214 Год назад

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

@yogesh1px 3 года назад

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

@kaweaakuna7325 2 года назад

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😂😂😂😂😂😂

@morbidreality4909 3 года назад

You deserve more man

@kaweaakuna7325 2 года назад

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

@elianpulido3360 3 года назад

you're simply the best

@panagiota4298 3 года назад

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 :))

@akshaj1236 3 года назад

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

@WorldTrotterHereandBeyond 5 месяцев назад

Good job!

@MohammadRezaFallahzade Год назад

High Quality Content Like Always . Thank You.

@unknowngirl2714 2 года назад

Holy shit, thanks man!

@labloom5254 9 месяцев назад

Thank you this was very helpful

@SalemKorayem 2 года назад

Very nice and clear.

@viniciusdeobber8239 2 года назад

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

@DrTrefor 2 года назад

happy to help!

@petruspetrusuom3342 4 года назад

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

@madhumithatk8681 3 года назад

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

@DrTrefor 3 года назад

You're most welcome!

@martincdt 3 года назад

Really useful, thanks for the knowledge !

@belaerdens4848 Год назад

great video!

@ricardohincapie1537 2 года назад

Thank you so much!

@wolffang3986 4 года назад

Thank you for the video clearing up a difficult concept!

@travishunt8999 3 года назад

Nice, thanks!

@markbell8967 3 года назад

Great video, again.

@robertmcknightmusic 2 года назад

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

@markkennedy9767 5 месяцев назад

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.

@UncleTiaoTiao 2 года назад

cool~

@AbdusSamad-gh8pm 4 года назад

Excellent explaination

@joeyhood3198 3 года назад

You are amazing, thank you

@user-xc6zf5ll6s Год назад

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

@kennethhowell5291 3 года назад

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 3 года назад

Glad it helped!

@gurkiratsingh1216 3 года назад

Great job sir

@vadiquemyself 8 месяцев назад

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

@quant-prep2843 2 года назад

god sent

@harryhppp469 4 года назад

thanks man! great content

@sinasoltan.m4859 4 года назад

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 4 года назад

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

@lukavabin 4 года назад

Amazing content!

@vijaysinghchauhan7079 3 года назад

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

@DrTrefor 3 года назад

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

@saurabhsingh-ow7ue 4 года назад

thank you sir.....

@josephogbonna7678 7 месяцев назад

What is another name of a polar coordinate?

@alirezakhorami 2 года назад

Good Content

@davidcarr5925 4 года назад

@janjoska2549 4 года назад

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

@carultch Год назад

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.

@aashsyed1277 3 года назад

u r vawesome.

@yogesh1px 3 года назад

1 suggestion -keep eye contact continuously 🙂

@John-wx3zn 3 года назад

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.

@MohammadAbrar-tx3fc 6 месяцев назад

This is how indians pass the exams

@Drenov 6 месяцев назад

Drink less coffee before doing a lecture

@grass5697 3 года назад

Why does your beard looks fake

@DrTrefor 3 года назад

Cause I glue it on to look cool

@grass5697 3 года назад

@@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 2 года назад

Very nice and clear.