Professor Leonard, you are hands down the best math instructor I have ever seen. I passed calc 2 with top grade in my class after struggling in calc 1. Your videos are clear, detailed and easy to understand. Im now in a computer science based stats class (also holding an A). Thank you for these videos, i love them.
Thank you so much for this. My pre-calc class decided to just skip over all of this for some reason and I was totally lost with everything we were doing.
Professor Leonard, you are a gift to us all. Your videos should be the standard to which all online or even in person classes are taught in general. Thank you for the time and passion you put into your videos!!
I’ve marathoned this series over winter break and your lectures are the reason I’m doing well in calculus 1. I did pre-cal in high school 5 years ago and this taught me everything I needed to know. Thank you so much for the time you’ve put into teaching exceptionally well!
This is the first time someone's related the positive/negative to where it actually is on the graph! Every time I've been taught, they've just shown it as quadrants and said "memorise ASTC".
Hi Dr. Leonard. I'm not sure if this suggestion would be outside your interest or field but have you considered doing a video series on Physics I, II and III? I'd imagine you'd really help so many people! Anyway, as do most, I truly appreciate your videos! (I wish I had known to use your lectures this whole time! I just started in the last 1/4 of Calculus II and it's paying off even this late in the game.) Thank you.
Math is a tool used to explain the science of physics. That doesn’t mean if you’re good at math you’d be good at physics. He may be great at physics, idk. But there are a lot of applied physics problems in the calculus. So that will help greatly.
Dear professor Leonard, I thought the interplay between you and your pupils absolutely great, for it brought me also in a way in that classroom. Thinking of you as being an excellent teacher I not only learned a great deal but enjoyed learning it. Since Differential equations you follow a different path. Wishing you all the best (and still waiting for Linear Algebra)!
Professor Leonard ,thank you for a well-organized video/lecture on How to Use the Unit Circle in Trigonometry/Precalculus. This classic topic is really helpful for all students moving on to Calculus and other levels of Mathematics. Trigonometry continues to be used every day in real life.
@25:00 -2/sqrt2 simplifies to -sqrt2 instead of (csc(-3pi/4)=-sqrt2) and sec(-3pi/4)=-sqrt2)... I guess even superman makes (little) mistakes ;)... apart from that thanks for another great lecture!
sir i want you to monetize your channel so that you can make money and make more such an awesome stuff for us . i am 18 now , when i would get job , i will support you financially, as i am also financially weak. your biggest fan from india, vishnu.
Hey professor Leonard , i find that using Red for X values , Green for Y values , and Blue for Z values extremely helpful because it correlates to cad programs and the standardized axis colors. I used those colors for trig and through diffy Q .( granted i added some colors for cal ) . Thought you might like to know that . ( it really helped me in trig because i could draw triangles with the base (x) with a red line and the vertical leg in Green and just have a black line for hypotenuse . I made it where " sin " = green , Cos = Red . Really did wonders for me because it wasn't ambiguous .
Hi Leonard, I'm looking for good Linear Algebra Tutorials, Please would you be making them? My profession started as an artist(but lately being an artist isn't helpful at all, I cant get any roles), but nowadays, it seems mathematics and computer science seem to become more core structures for any roles with computers these days. I hope you start making them. God bless you and your family, and Take care!
Hi! I remember professor Leonard said he'll do statistics (besides the basic playlist on his current channel). Anyone knows when he's planning on doing that?
How did he find the x and y coordinates fore each of those points on the unit circle? Like, how does he know that 2 pi over 3 corresponds to the points: negative one half and root 3 over 2??
If you want to break out Python for this, Numpy has trig functions: sin: np.sin() csc: 1 / np.sin() cos: np.cos() sec: 1 / np.cos() tan: np.tan() cot: 1/ np.tan() Each of these takes radian values. If you want to plug in degrees, you can use np.radians() (The math library can also do this and it's the same syntax.) Example--find sin of 28 degrees: >>>import numpy as np >>>np.sin(np.radians(28)) 0.4694715627858908 Example--find csc of pi/4: >>>1 / np.sin(np.pi/4) >>>1.414213562373095
Ex: COT pi/12. I am not sure what x and y are. It is not listed on the unit circle so I don't know if I missed finding x and y. Any help is appreciated.
But how do you find the sine of 28 degrees without using a calculator? I know how to convert degrees to radians, but I don´t know how to calculate the sine.
I love ur videos professor Leonard, could u also explain after this Complex Analysis like holomorfic and analitic funcions and derivatives and integrals on the complex set
hi professor leonard, have you by any chance talked about newtons method on any of your videos? currently being introduced to it now in my calc 1 class and it seems like a short section but my professors video on it isnt very helpful..
We need to get rid of our Brick and Morter teachers and follow the master Professor Leonard. After 1 hr spent watching this video, you know and understand it. Not like walking out of a class thinking "What was he talking about?"
my sorry ass thought i could do calculus without having any trig before. Thanks so much for these videos, now I feel like I can at least do basic algebra with identities after differentiation in calculus.
Good day Professor Leonard! I would like to reach out to you for a business inquiry. Do you have an email where you can be reached for this purpose? Thanks!
Professor Leonard, you are hands down the best math instructor I have ever seen. I passed calc 2 with top grade in my class after struggling in calc 1. Your videos are clear, detailed and easy to understand. Im now in a computer science based stats class (also holding an A). Thank you for these videos, i love them.
I'm curious to ask where you're now?
Hey guys if you’re watching this pay attention. Knowing your unit circle will be helpful all the way through college
Facts
Agreed
Yup
True
The Unit Circle and the Trig functions will always be lingering around...
hands down the #1 basic math channel on YT
not only basic, even advanced tbh.
Damn, sorry Doc, didn't know Diff equations were considered "basic math".
@@djt6fan right who has never solved them as obligatory curriculum for high school
Watching his 2014 videos, and came to check on his recent videos. This man is still teaching the internet and still is buffed af
Thank you so much for this. My pre-calc class decided to just skip over all of this for some reason and I was totally lost with everything we were doing.
Professor Leonard, you are a gift to us all. Your videos should be the standard to which all online or even in person classes are taught in general. Thank you for the time and passion you put into your videos!!
I’ve marathoned this series over winter break and your lectures are the reason I’m doing well in calculus 1. I did pre-cal in high school 5 years ago and this taught me everything I needed to know. Thank you so much for the time you’ve put into teaching exceptionally well!
One of the best channels on youtube right here.
Mind blown at the end when I finally understood how sin, cos, and tan of a triangle are related to the unit circle. Stellar teaching!
Thank you sir for being so methodical and organised in your teaching style it really helped me in my tests
I JUST WANT TO SAY THANK YOU, THANK YOU SIR !
Because of you I have a chance at finishing university...
Professor I really cant thank you enough. You are a life saver. The way your videos are organized, its just amazing.
This is the first time someone's related the positive/negative to where it actually is on the graph! Every time I've been taught, they've just shown it as quadrants and said "memorise ASTC".
Having never seen a unit circle or Trig functions prior to your last 3 videos to now being able to find their values on my own is just miraculous
Finally, professor Leonard came back again. Greetings from Egypt.
Hi Dr. Leonard. I'm not sure if this suggestion would be outside your interest or field but have you considered doing a video series on Physics I, II and III? I'd imagine you'd really help so many people! Anyway, as do most, I truly appreciate your videos! (I wish I had known to use your lectures this whole time! I just started in the last 1/4 of Calculus II and it's paying off even this late in the game.) Thank you.
Math is a tool used to explain the science of physics. That doesn’t mean if you’re good at math you’d be good at physics. He may be great at physics, idk. But there are a lot of applied physics problems in the calculus. So that will help greatly.
Thank you so much Professor Leonard
Dear professor Leonard, I thought the interplay between you and your pupils absolutely great, for it brought me also in a way in that classroom. Thinking of you as being an excellent teacher I not only learned a great deal but enjoyed learning it. Since Differential equations you follow a different path. Wishing you all the best (and still waiting for Linear Algebra)!
Amazing video, thank you. This video helped me understand the unit circle well.
Great session as always Professor L!!
Professor Leonard ,thank you for a well-organized video/lecture on How to Use the Unit Circle in Trigonometry/Precalculus. This classic topic is really helpful for all students moving on to Calculus and other levels of Mathematics. Trigonometry continues to be used every day in real life.
@25:00 -2/sqrt2 simplifies to -sqrt2 instead of (csc(-3pi/4)=-sqrt2) and sec(-3pi/4)=-sqrt2)... I guess even superman makes (little) mistakes ;)... apart from that thanks for another great lecture!
It's so hype when he takes the board down to reveal the last problems
Prof Leonard pleeeeaaaase consider doing a Linear Algebra series next! I'm in calc III now but will be needing you all the way through!
He's still got an unfinished Diff. Eqns playlist... so I reckon he will finish that before.
Thanku so much sir for uploading continuously.....🙏🙏🙏 God bless you
sir i want you to monetize your channel so that you can make money and make more such an awesome stuff for us . i am 18 now , when i would get job , i will support you financially, as i am also financially weak.
your biggest fan from india,
vishnu.
professsor, please make the best playlist available for college statistics.
Hey professor Leonard , i find that using Red for X values , Green for Y values , and Blue for Z values extremely helpful because it correlates to cad programs and the standardized axis colors. I used those colors for trig and through diffy Q .( granted i added some colors for cal ) . Thought you might like to know that . ( it really helped me in trig because i could draw triangles with the base (x) with a red line and the vertical leg in Green and just have a black line for hypotenuse . I made it where " sin " = green , Cos = Red . Really did wonders for me because it wasn't ambiguous .
Hi Leonard, I'm looking for good Linear Algebra Tutorials, Please would you be making them? My profession started as an artist(but lately being an artist isn't helpful at all, I cant get any roles), but nowadays, it seems mathematics and computer science seem to become more core structures for any roles with computers these days. I hope you start making them. God bless you and your family, and Take care!
This dude is a great teacher.
Very good teaching style..
Hi! I remember professor Leonard said he'll do statistics (besides the basic playlist on his current channel). Anyone knows when he's planning on doing that?
Is there a book you highly recommend for practicing exercises related to trigonometry?
How did he find the x and y coordinates fore each of those points on the unit circle? Like, how does he know that 2 pi over 3 corresponds to the points: negative one half and root 3 over 2??
dear prof leonhard would you mind doing linear algebra and matrices 😢 plz
Thanks Sir!🌼🧡
A new video from you after all this quiet
If you want to break out Python for this, Numpy has trig functions:
sin: np.sin() csc: 1 / np.sin()
cos: np.cos() sec: 1 / np.cos()
tan: np.tan() cot: 1/ np.tan()
Each of these takes radian values. If you want to plug in degrees, you can use np.radians()
(The math library can also do this and it's the same syntax.)
Example--find sin of 28 degrees:
>>>import numpy as np
>>>np.sin(np.radians(28))
0.4694715627858908
Example--find csc of pi/4:
>>>1 / np.sin(np.pi/4)
>>>1.414213562373095
watched entire video. so good!
Ex: COT pi/12. I am not sure what x and y are. It is not listed on the unit circle so I don't know if I missed finding x and y. Any help is appreciated.
But how do you find the sine of 28 degrees without using a calculator? I know how to convert degrees to radians, but I don´t know how to calculate the sine.
You need this so badly in Calculus 2
He took only 45mins to teach this better than my own professor
Thank you teacher
I love ur videos professor Leonard, could u also explain after this Complex Analysis like holomorfic and analitic funcions and derivatives and integrals on the complex set
I really wish there was a list of all of the videos and the best order to watch them in???? Anyone have anything like that????
May Allah bless you 🥰🥰🥰. Sir Leonard
hi professor leonard, have you by any chance talked about newtons method on any of your videos? currently being introduced to it now in my calc 1 class and it seems like a short section but my professors video on it isnt very helpful..
When he took the unit circle chart away I clenched my pearls
I'm binge watching professor Leonard videos so that I can become a Math expert at Photomath and earn money 💰 by solving questions
Amazing! Thank you so so much.
Hi - does anyone know of a good online Calculus 3 course where the professor is good and knows how to teach calc? Thank you!
There is calc 3 in this series. Just check the list of videos.
We need to get rid of our Brick and Morter teachers and follow the master Professor Leonard. After 1 hr spent watching this video, you know and understand it. Not like walking out of a class thinking "What was he talking about?"
Love this guy
Sir I am From India, Studying Class 12. I Don't Know what is Calculus, Your Calculus Videos are ok For Class 12 students?
Yes. Go watch them.
yes and highly recommended
my sorry ass thought i could do calculus without having any trig before. Thanks so much for these videos, now I feel like I can at least do basic algebra with identities after differentiation in calculus.
Prof Leonard will yo be doing more differential eqns videos?
Professor Leonard please take real analysis course.
Learn the unit circle guys and trig in general. It will save you a lot of pain in your future classes
My lovely prof leo , when will you finish this course?
at the 25:10 mark csc -3pi/4 = minus the square root of 2 NOT minus 2! You're welcome
Love you prof
This was needed 9 years ago when I took Pre-Calc 😫
Good day Professor Leonard! I would like to reach out to you for a business inquiry. Do you have an email where you can be reached for this purpose? Thanks!
Just wish the guy taught Chemistry--any suggestions?
Look: (x, y) = (cos, sin)
I am waiting for geometry series video
I think he already did it in his calculus 2 playlist
@@MartimCorreia10 it's does not means Ap, GP, and HP
It means Ecluid geometry series
Remember: x = cos, y = sin
I'm Indian from Aryabhatta(mathematician) Motherland.
tan = y/x not x/y
his long luscious superman haircut is gone
wow
Hello, hello, hello!
35:00 *removes unit circle diagram* Oh no! 😦
Why this video came out when I passed my high school with bad marks in maths? 😒😔
😓
Omni-man?!?!?!?!?
Holy shit he looks like John Cena