i got 88 on my first exam and i studied my ass for it, then i remembered that you were the reason why i got 92 on calculus 1 so i decided to start watching you again for my 2nd midterm AND I GOT 97! i swear you're changing lives and now my final is in 10 days and i'm doing a professor leonard marathon and hoping to get a 100 on this final wish me luck guys!
You're the best! The first exam I took 44/100, after watching your videos I took 89/100 on the second exam. What you're doing is so helpful for a better new generation!
Dear Professor Leonard, I just wanted to you thank you so much. My friend and I watched your lectures all semester and ended the class with an A! If it weren’t for you I don’t want to know how we would have faired. Thanks again we really couldn’t have done it without you !
Still coming back here even after finishing Vector Calc to brush up during upper div math. Can’t give enough thanks for making this whole series free. You rock Professor Leonard!
Thank you so much professor Leonard. I'm taking calc 2 online and I can honestly say you've saved me from having to retake this class for the 4th time.
Professor Leonard you are the best math teacher on CZcams that I have seen. I watched many of your Integral Calculus videos last fall and they really helped me do well on exams. Thank you!
@@benishot1000 Several of the students in the video on section 9.8 in this playlist even remained in the classroom for some extra teaching at the end, even when the class had ended right before spring break.
Professor Leonard is a math God. I'm in the second year of my Engineering degree and his teaching abilities are truly a mixture of a diligent work ethic and passion. Bless.
Ugh!!! I'm honestly a little disappointed in myself fo rnot finding your channel at the beginning of the semester. But at least I found your videos in time for finals. You're a great professor, and your videos are very helpful and readily available. Bout to spend the next week binging your lecture videos
thank you so much for these videos. I am currently taking calc 3 and have been watching your videos. these have so much clarity and was able to study well for my test. thank you so much!
I am horrific at math, especially calculus. I took Calc 1 three times and on the third time ended up with a B+. I started watching your videos for my Calculus 2 class and scored a B+ on my first exam ( I have an A- right now in Calc 2). Would never have been able to do this without your help. THANK U FOR BEING AMAZING!!!
I love this! Very good explanation... Clear examples. This has helped me a lot. Thank you and keep up the great work.. Big up yourself Professor! Straight from Jamaica :-)
Professor Leonard, thank you so much for making all these topics of. calc II really easy! all college professors should be forced to teach like you do!
I'd have to say volumes of rotating disks and shells was my least favorite, I'll take series over those. Series are kinda cool when you finally get a grip on them. Happy learning!
whenever I come to watch any video of yours professor, I just hit like without even watching it caz I know all ofof themm are amazing! Love from Bangladesh
thank you so much for uploading all of these videos!! you are such a lifesaver. i go to a large research university and my prof is a super eccentric old tenured guy who is very entertaining but is such a bad prof. i would actually fail without you!
Thank you soo sooo sooo muchhh. Im from Malaysia and this is what they teach us but dayummmm I absolutely LOVE LOVE LOVEEE the way you teach! Thank you soo muchh. Do more videos! It was really entertaining and super informative!
Of course, every time I see a video this useful, I wonder where it was 30 years ago in my life when I was paying some university ridiculous amounts to teach me nearly zero. Especially speaking relatively.
Professor Leonard, thank you for a fantastic video/lecture on the Introduction to Parametric Equations in Calculus Two. Parametric Equations is simple to follow and understand, however Physicists and Engineers called them equations of motions of the particle and the Curve C , the trajectory of the particle. Mathematicians and Physicists have different views on this subject. This is an error free video/lecture on CZcams.
why can't all professors teach this well? They should all be required to watch your videos and teach like you instead of wasting my time being confused all lecture. Thankyou so much!
its funny that whenever my professor teaches something i feel so confused, and when i look at Prof Leonards videos its so much easier. Night and day between a bad professor and a great one
0:00:00 - Basics of Plane Curves
0:02:10 - Problems with Defining Plane Curves
0:09:28 - Parametric Equations & Definitions
0:23:08 - Basic Example 1
0:36:35 - Basic Example 2
0:41:57 - Basic Example 3
0:46:02 - Trig Example 1
1:04:54 - Trig Example 2
1:15:09 - Trig Example 3
Hey do you know where Lecture 10.1 is?
@@MrMishra814 He doesn't have a 10.1 video. What's the actual topic?
@@hayleycoyle9726 no idea but the playlist and website skips from 9.x to 10.2 and you seemed like you knew what was going on
Lol oh thanks. He doesn't appear to have one. If it's important material it's probably in another video.
@@hayleycoyle9726 oh okay thank you!
This guy is the best math teacher on youtube. He is also the most buff.
AbnormalFrank Him and patrick JMT
...are you not?
I call him " The new born of Richard Feynman" 😌
You've fallen in love. You can no longer graph your love without using parametric equations, as it doesn't pass the straight line test.
For real, he looks more like a personal trainer than a math teacher!
The dislikers are the professors who can't teach like the way he does
hehe
i got 88 on my first exam and i studied my ass for it, then i remembered that you were the reason why i got 92 on calculus 1 so i decided to start watching you again for my 2nd midterm AND I GOT 97! i swear you're changing lives and now my final is in 10 days and i'm doing a professor leonard marathon and hoping to get a 100 on this final wish me luck guys!
Did u get the 100 on the final . xD just curious.
Interesting; I would also think studying Leonard is better than studying ones own ass.
@@dadinggo ok
did you get a 100 tho?
Rumor says he failed
I caught myself raising my hand when he asked for a show of hands to indicate understanding. He's THAT good!
Violent2aShadow I've done that before too. Lol!
hahaha!! Me too!
I'm doing that every time :D
So weird- I do as well-
Me too lol
You're the best! The first exam I took 44/100, after watching your videos I took 89/100 on the second exam. What you're doing is so helpful for a better new generation!
Usually, I watch these videos after my lectures. Watching his videos literally makes me love maths. he explains everything
Dear Professor Leonard, I just wanted to you thank you so much. My friend and I watched your lectures all semester and ended the class with an A! If it weren’t for you I don’t want to know how we would have faired. Thanks again we really couldn’t have done it without you !
It honestly takes a genius to teach with so much clarity! Thank you! You are truly a blessing. Sincerely, your faithful online maths student.
Still coming back here even after finishing Vector Calc to brush up during upper div math. Can’t give enough thanks for making this whole series free. You rock Professor Leonard!
6 years later and still a LEGEND
Thank you so much professor Leonard. I'm taking calc 2 online and I can honestly say you've saved me from having to retake this class for the 4th time.
it is like I have no idea what my instructor teaches but when I watch your videos, I understand everything. You are awesome, thank you.
Watched this video in its entirety, got all of my schoolwork problems for this section done on the first try. A Godsend you are sir.
I'm super mad cause my cal 2 teacher sucks and I just found this channel at half the semester, this man is the best on CZcams, THANK YOU
I came for help with homework, I stayed for an understanding. Thank you Professor Leonard!
Thank you so much for the videos!!
Please don't ever take them down, they're extremely helpful in helping me pass calc!
Professor Leonard you are the best math teacher on CZcams that I have seen. I watched many of your Integral Calculus videos last fall and they really helped me do well on exams. Thank you!
Duke Nukem giving calculus classes. Amazing.
I laughed way harder than I should be
your students don't know how lucky they are..
he's probably really famous on campus and has crazy waitlists for his class so I'm sure they fought to be there lol
@@benishot1000
Several of the students in the video on section 9.8 in this playlist even remained in the classroom for some extra teaching at the end, even when the class had ended right before spring break.
Thank you so much! It's been 15 years since I studied math. Your teaching is incredible.
watching these before starting calculus IV at UBC for summer semester!!! These videos are so good
Professor Leonard is a math God. I'm in the second year of my Engineering degree and his teaching abilities are truly a mixture of a diligent work ethic and passion. Bless.
Please do Calculus 3 and Linear Algebra!
you are one of the best professor I came across and don't let anyone tell you otherwise..:)..you Sir have a gift..
Ugh!!! I'm honestly a little disappointed in myself fo rnot finding your channel at the beginning of the semester. But at least I found your videos in time for finals. You're a great professor, and your videos are very helpful and readily available. Bout to spend the next week binging your lecture videos
thank you so much for these videos. I am currently taking calc 3 and have been watching your videos. these have so much clarity and was able to study well for my test. thank you so much!
the best professor I have ever seen in my entire life.... thank you so much (y)
I am horrific at math, especially calculus. I took Calc 1 three times and on the third time ended up with a B+. I started watching your videos for my Calculus 2 class and scored a B+ on my first exam ( I have an A- right now in Calc 2). Would never have been able to do this without your help. THANK U FOR BEING AMAZING!!!
I love this! Very good explanation... Clear examples. This has helped me a lot. Thank you and keep up the great work.. Big up yourself Professor! Straight from Jamaica :-)
Thanks Professor,AP Calculus BC Student, struggled with Parametric a little bit and these videos helped a lot
You are the single greatest contributor to calculus since Newton.
Thank's Professor Leonard.. I like your way of teaching...
Thank you very much Professor Leonard! You help a lot!
Thank you for posting this. You explain this very well and in a way that is easy to follow.
He doesn't only teaches the procedures. he also teaches you how to think "math" and That's so valuable.....
Professor Leonard is awesome. Thank you for producing and sharing these wonderful videos.
Like your definitions, explanations, and streamline instructions.
Dude! You're amazing. Keep on doing what you're doing because this is honestly amazing content!
I just hope all teachers would teach students the way you do! We would have a ton of perfect engineers..
Sir, you are a lifesaver!❤️ I survived calculus 1 with good marks because of you. Lots of love and respect from Pakistan :D
Never knew Superman is such a brilliant professor...
Thank you Professor Leonard! You are so good. You make Calculus so easy. I rather use my tuition on you. Please keep posting more videos!
Professor Leonard, thank you so much for making all these topics of. calc II really easy! all college professors should be forced to teach like you do!
I'm so glad we're finally out of sequences and series. For some reason, that was my least favorite section out of calc I and calc II.
+UnforsakenXII Amen.
+Andres trueeeeeeeeee
wtf is you, masood. LOL. You asked me for no reason.
+Andres You know I love you UnforsakenXII
I'd have to say volumes of rotating disks and shells was my least favorite, I'll take series over those. Series are kinda cool when you finally get a grip on them. Happy learning!
I'm glad you tube exist... Thank you Superman = Professor Leonard
Thought I was the only one who thinks he legitimately looks like Clark Kent....
you made me feel like this chapter is easy to understand, your students are really lucky , I wish I have teacher like you ❤ thank you very much ❤❤❤
whenever I come to watch any video of yours professor, I just hit like without even watching it caz I know all ofof themm are amazing!
Love from Bangladesh
Great teacher!!!
Excellent teaching style! Thank you!
I'm a simple man. Whenever I see his videos on recommendation, I play those videos and let the whole ads to run and also click on them!
sir , please continue doing this . for the first time in life I found maths fun
Really nice lectures! I look forward to watching your calc 3 and diff Eq lectures!!
Excellent professor, 5 more videos to go on this amazing course
Excellent lesson for what I think is kind of a tough concept the first few times around the track.
thank you so much for uploading all of these videos!! you are such a lifesaver. i go to a large research university and my prof is a super eccentric old tenured guy who is very entertaining but is such a bad prof. i would actually fail without you!
omg your students are sooo lucky .... thank u for everything professor
Thank you soo sooo sooo muchhh. Im from Malaysia and this is what they teach us but dayummmm I absolutely LOVE LOVE LOVEEE the way you teach! Thank you soo muchh. Do more videos! It was really entertaining and super informative!
Of course, every time I see a video this useful, I wonder where it was 30 years ago in my life when I was paying some university ridiculous amounts to teach me nearly zero. Especially speaking relatively.
You explain 100 times better than my Calc 2 teacher
1:32:30
Blew my mind. I can't believe none of my teachers have ever pointed this out to me.
Thank You, Thank You, Thank You.
By the way, your handwriting is awesome Professor.
Thanks for getting me through Calc II
Sir you are doing a Great work, best of luck for it.
Your videos are worth gold to me. They have helped me in all my previous math courses. Would you please consider teaching calculus 3?
you made everything so easy. Thanks a lot. I wish I could have you as my professor. ;--;
Great as always!
Thanks for all your help!
Thank you professor Leonard!
Professor Leonard, thank you for a fantastic video/lecture on the Introduction to Parametric Equations in Calculus Two. Parametric Equations is simple to follow and understand, however Physicists and Engineers called them equations of motions of the particle and the Curve C , the trajectory of the particle. Mathematicians and Physicists have different views on this subject. This is an error free video/lecture on CZcams.
why can't all professors teach this well? They should all be required to watch your videos and teach like you instead of wasting my time being confused all lecture. Thankyou so much!
You are a good teacher!
No cap, I actually loled at 1:00 . Thanks prof, after that series test, I really needed that laugh
I owe this man my life
Best teacher ever!!!
man its really fun to watch your lessons. final is tomorrow but im going to be sorry cuz im gonna miss your enjoyable conversations
I learn more watching this class on CZcams than attending class .
Not all heros wear capes
fact.
amazing. No matter how helpless and stupid I feel, Leonard ALWAYS gets rid of this feeling
great professor!
its funny that whenever my professor teaches something i feel so confused, and when i look at Prof Leonards videos its so much easier. Night and day between a bad professor and a great one
You're awesome, man.
such a great teacher !!!!!
Doing my bachelors abroad in Korea and men, isn't this helpful? Thank you prof. Leonard.
You're the most buff math teacher I've seen
Excellent explanation
I STARTED WRITING IN CAPITAL LETTERS BECAUSE OF HIM
MAYBE DON'T
thank you this is very helpful
omg he mentioned Hey Arnold! I love this professor!!!!
Thank you professor!
Thank you so much! I hope you continue posting videos for other levels of math! [:
Best teacher..
Final in 2 days. I wish I would have discovered this channel earlier!
I had about one week total of trig and it makes calc 2 very difficult :/ At least Ill most likely pass thanks to Prof. Leonard.
Thank's Professor Leonard
very clear and easy to understand
I never thought about it until now, but the pythagorean identity is just a unit circle equation
1:20:34
In order to divide by 2x , x must be not equal to zero i.e to change the domain of parameter t : t not equal to 0 and pi.
Best. Calc. Teacher. Ever
prof you are the best