This is exactly how I'm feeling .... was doubting my abilities but really it's the lack of professors actually teaching. None teach, except Professor Leonard. The tutor I've been seeing through my school's tutoring program gave me his youtube after I asked for any helpful tips or advice..... and this IS GODSENT.
I honestly don't even need to go to my college lectures with content like this, I'm basically paying my school to provide me with tests because this education is about 10x better than what I'm getting at school. The funny part? It's free. LOL
+Necrodox Is it funny though? I know you weren't being literal, but it's something I have really thought a lot about I guess because at one point I wanted to go back to school but couldn't. It just really goes to show how much we value a piece of paper over actual knowledge. If someone took the time to go through all these videos and learn the material, what does it matter that they didn't pay $30k+ to have someone say they learned it. That and you could truly understand it if you had the time to work through it and not just an arbitrarily set week per topic or two which along with other classes forces you to rush through it - but that's a whole other thing.
Samuel McCandless Please note that this lecture is dealing with SEQUENCES not SERIES. The convergence test for Sequences is very basic and is correctly stated in the lesson. The Divergence test that you reference is absolutely correct, but only for Series. Please visit the remaining lessons in the "Chapter" to see what I mean. Cheers and thanks for watching!! Professor Leonard
Professor Leonard at 59:00 you mention the "old school" of indeterminate form of a limit instead of L'Hospital's rule. This involves dividing all the terms with the highest degree n in the denominator. If that same n has a coefficient, does that also get included when dividing the the terms?
I have literally never cared to comment on a UA-cam video before as I just couldn't be bothered, but this guy's video is so great that I had to create a UA-cam account just so I can comment and let everyone knows how great it is. I have learnt more in 30 minutes than in several hours of Uni lectures.
@@AndyU96 with that logic, just get rid of excitement altogether, as for every "great" you are excited about, there will always be something "greater".
Have nothing against foreign teachers but this is why American teachers are so much better. Easy to understand, don't make comments like "my three year old nephew learned this last year", etc. etc. This guy will save me in my degree.
I have never left a comment before, but I don't even have enough words to express how much you have helped me throughout my Calc 2 class. I felt dumb for not understanding a lot of the materials during lectures in class but you are such a great professor that I have been able to learn so much more from your videos and ace my exams. Your videos have been extra extra helpful rn with this pandemic and remote learning. My professor is old and is still struggling to adjust to remote learning, so we have had to teach ourselves Calculus 2 and prepare for exams. I shared your videos with several of my classmates as well and you are literally our hero. Thank you Professor Leonard!
I teach college-level classes and am so pleased to watch Prof Leonard's teaching methodology that makes complex topics a breeze; in fact, I am "borrowing" his style in my classes. Thank you for your excellent technics and patience.
Retired H.S. APCalc/APStats teacher here binge watching your channel. You have a gift for teaching and you also come across as very personable on the video. I find myself nodding, smiling, and raising my hand in response to you. Thanks for sharing these videos and your gifts with us.
yeah, my professor covered all of this in like 30 minutes. he just explained it using some obscure terminology that wasn't intuitive at all. prof Leonard has helped with all my math classes for years, even before I took calc in hs
I think that most "bad" math lecturers at university probably don't even care if another math teacher is better than them or not - a lot of them give off this vibe like "okay, let's get this lecture over with so that I can go back to my research".
I'm taking calc 2 at Berkeley. And the professors there are supposed to be "too notch" but this series has helped me 1000 times more on my midterms than attending any lectures with my professor
Dude my finals are next week and I absolutely didn't have any idea about my calculus I was thinking that I'm going to fail it, your videos literally saved me ! thanks dude ! I'm just sad that I didn't check your videos when I had my first and second exams :(
Hey! I just wanted to say thank you so, SO much for this video! I'm so glad I stumbled upon this when trying to figure stuff out. You are a lifesaver! I'm learning Calc 2 right now and my prof zooms through the material and expects us to remember a lot of stuff from Calc 1, which is hard since Calc 1 was a struggle for me as well. But after your lecture this whole sequence thing makes SO much more sense now! Also, thanks for going really slowly and explaining each step out really thoroughly, and for being so energetic about it. For the first time in AGES, I didn't fall asleep through a math lecture! I really appreciate it. You're literally saving my grade right now! I usually don't comment or like videos (just because I'm too lazy, lol) but I just had to here. Thanks a billion again!
Whenever an ads comes i watch the full ad, click the shop now or click here button during the ad too . That's The Respect I have for @Professor Leonard. While normally other UA-cam videos I am just impatient to click the skip ad video.
Man, I need you to put my arrogant Calc instructor on a set of sit ups with infinite reps cuz you just delivered to me what he could never in the last semester. Professor, you are AMAZING!
im glad this helped you but this class it not a typical college math class. professor leonard babies us in these lectures. college math is different. you only have 50 mins, not 2 hours. the best advice: READ AND TRY TO DO THE LESSON BEFORE CLASS so you will at least have a basis of understanding!!!!!!
This is helping so much!!!! My prof is incredibly smart, but tends to forget that some people in the class may be struggling. I love how you refresh students memories on past identities or rules and take time to explain your process to students that might not be getting it as quickly as others. In my class my teacher would give us a series then someone with more experience with them would automatically solve it, where i would still be thinking about it. Without being able to solve it myself, its harder to learn how to. Thank you for these!
My online Calc 2 course currently consists of worksheets and 8 minute mini lectures... I'm so thankful I found you a couple of years ago... I'll take your 2 hour Calc 2 lectures any day if it means I'll understand math and go into my exams with confidence. Thank you.
I wish I found your video series sooner. Extremely helpful. First time I've ever watched a lecture video over 20 minutes. (and this one is over 2 hours!)
You remind me of my calc 1 professor. He explained so well and easy for one to understand. Sadly he wasn't able to teach calc 2 this semester. Im glad I found you. 3 more tests left and i was so worried about my upcoming test and now i feel confident. Going to ace this test!! 👊 thank you.
Professor Leonard is heaven sent. He asks his class very simple questions just to get them involved and make them feel like this is possible. He slowly but gradually makes things more complex but all still while guiding you through the problem. Professor Leonard 2020
god this series is so good! I remember being in high school calculus, looking thru all your videos for help. and here I am, years later reviewing series & sequences for a mathematical statistics class in college, as a junior. Thank you for your excellent teaching Professor Leonard! :)
Thanks professor! Due to the coronavirus my calc2 class has gone virtual. I am pretty old school and really do better in a classroom setting. You do such a great job at taking the time to make sure everyone understands the concepts, and your explanations are understandable. Definitely will be subscribing!
Professor Leonard! Learning new math has been quite a challenge for me as an "older" college student. Thank you for saving my ass 3 semesters in a row!! You definitely have a gift for instructing and I wish more Professors were able to present material even half as well as you do.
Why does he write '' less than '' as less than or equals to? For an example, if you want to say that the number n is smaller than M, instead of writing n < M he writes n _M instead of n>M These are some examples 2:00:28 to 2:00: 48
I wish you were my real instructor, thank you for the great lecture. Extremely helpful! I wish you did a whole 2 hours of getting An formulas for sequences lol, they are cool and difficult.
Absolute best teacher ive ever seen..really care about the kids understanding of the material. I really appreciate your videos seeing as my Calc 2 teacher is not as good as you! Im praying you have calc 3 videos and DE! Thanks again
Haha I loved 1:51:31 "Plug in any number in the frekin world, and tell me if it's positive or negative" XD You make things so clear! I think of the answer before you get to it on the board and it's such a nice feeling to have it right every time! Got my 2nd midterm monday and im definitely gona do well ^_^
***** Got a 96, could've been 100 lol. But I got 100 on my final. Just finished the next class last week, calc 3. Was pretty tough :[ Think I got an A though. Maybe.
Thank you professor I think you are the best cal teacher I have ever seen in my life. You are the one who helped me a lot while my final exams.Thank you professor ❤
I'm taking Calculus 2 during Covid times, so I'm taking it online. I'm pretty sure the retirement age professor that I have has never taught an online class before. The notes are completely illegible, he has a heavy Ukranian accent, and he doesn't explain things, he only shows you them and asks "Do you see?" When you respond, "No, I do not see." He says says, "Look right here. See? Do you see? Ok. So, moving on." I don't even watching the lectures and I only go through the notes to try to pick out the main objectives to learn for the test. Brofessor Leonard, you're a math hero. Your lectures and the Openstax text books have taught me 80% of the calculus that I've learned. Thank you.
People often in their spare time watch movie but I usually watch professor Leonard. He is an excellent singer of mathematics. I usually listen it again and again. Furthermore, the way he teaches his student is marvelous. What a gifted teacher! Thank you!
if only all my professors in college were like you, I'd ace every class. kinda sucks that you don't teach the rest of the chapters but I'm sure as hell thankful that you at least covered all of chapter 9. 👏
I’m glad that I found these videos. Every time my professor finished an example, he always had an urge to run out an smoke a cigarette, which I can tell because he would always stare out into space for a whole minute.
I wish I had you as a professor back when I was going through Calc2 in 1997. However, I'm glad I have these lectures today as I'm going through DQ (after a long hiatus). Thanks.
Thank you so much for offering this to everyone. I struggle so much with my professors and there "weed-out-class" mentality. With your videos I have been able to not only do the math but understand it and even see how some of this can apply to my future career. Thank you so much!!
You seriously are a Godsend! I'm taking an online Cal 2 course, I have horrible anxiety and hate asking questions to the professor. I've been trying my best to learn all this on my own and it hasn't been easy. I get stuck a lot and it's frustrating. I was even on the verge of just giving up! But you make it look so easy!! Plus I listened to your introductory lesson about studying and I really need to take that advice. I took Cal 1 in a one month long course...during the final, I would get stuck half way on each problem and totally bombed it. Still passed though, but what you said made so much sense about not fully interalizing it all. Obviously I retained SOME info, just not all. (Yet I think it's totally understandable for a short class.) Hoping to take your advice and do better this time around in Cal 2! Thank you!!!
Ok, not only is he easy to understand, he is funny and handsome! Win for studying for my Calc 2 final! Off to watch the rest of these videos :) HIGHLY recommending these vids to other students here at SFU.
Don't forget a million dollars! Honestly, I feel like he's the type of professor, that even if he had billions of dollars, he would still want to teach. He seems so passionate about teaching and mathematics! He always expresses how cool applications of maths are. Hands down the best professor in the entire planet....at least from what I can tell. He needs more recognition!
+Leslie Anne Mujica I think Brandon Leonard is about as good as a maths teacher can get. He even has pretty much perfect ratings on RateMyProfessors, lol.
Seriously Sir you are Awesome. The way that you teach, this way should be learn by all of the teachers in the whole universe. Well done Sir keep it up.
If I ever get a large sum of money I am soooo going to write you a grant to some how teach an online math school! You're truly an amazing teacher and I (along with countless others!) really appreciate all you do, Thanks soooo much for this!
These lectures are helping me pass Cal 2! I'm taking it right now (summer semester) and there's just so much material to cover in so little time! These videos are a life saver!
+Josh H You don't have to be gay to notice that Brandon Leonard is really handsome. =P For example, you aren't a dendrophile just because you think certain trees look awesome - same thing.
professor leonard, thank you so much for these videos. i am a bio major who made the mistake of taking calc 2. i got a D on the first exam, started watched your lectures, and got a B on the second. i'm still doing bad, but i feel like everything will be okay with the motivation you give me (: i usually don't comment like this but i am so thankful to you
Wow what a fantastic series of lectures! I haven't done maths since high school, nearly 40 years ago so hadn't come across a lot of this stuff, but I understood all of it. Very good, clear teaching. Thanks
Professor Leonard you are the best!!! You have made a major impact in my life and I hope you continue to put up content like this. Keep up the good work.
Just because a monotonically increasing sequence has an upper bound M does not mean that its limit is M. It only means that it has *some* limit which cannot be greater than M; it may be less than M. Now, if M were the *least* upper bound, the limit would be exactly M. Similarly for monotonically decreasing and greatest lower bound.
I think you one of the best lecturers ever, took me 1 month to try and study this but just in +- 17 hours I totally understand this Module from finding these videos here. There is difference between lecturers that know stuff and can teach the stuff that they know. You truly can make others understand.Please sir if possible do you have videos on complex analysis or Z-transforms and Laplace. Kind regards from South Africa.
Trying to relearn the first couple chapters of my math course and luckily I found this channel! It was so disheartening during our latest class on binomial expansion and elliptical integrals to see that I was being left behind and didn't even understand some of the basic concepts learned in the course. I hope to catch up on my lectures with these videos, so thank you very much!
Great video. Highly recommend for anyone needing help. I'm in Calc 2 for the summer semester. Due to the compressed schedule, the professor doesnt explain the concepts well. This video is exactly what I needed
God bless you professor leonard. I came from an english speaking country and i'm presently studying engineering in french. The classroom is useless for me i spend my time learning with prof leonard. Merci beaucoup monsieur
I love your lectures. The way you teach is great. I am a math major and really enjoy math. Watching your lectures is so entertaining to me. Thank you and keep up the good work!
This is super, you are a good teacher. you know how to teach, and you do it slowly. You carry the class along with you and make your class interesting. to be honest, I never watch long videos before because I found it annoying, but your video are instructive interesting, and there are not boring. thank you so much for God have used you to improve my grade. remain bless
I like the way you explain the topic like it’s new and not cannon. So that anyone can just start as doesn’t have to watch all 13 previous video to understand what you’re saying
I am grateful for this video series. I have an excellent calculus 2 professor, but using Professor Leonard’s videos for review helps the content stick.
0:00 introduction into sequences
4:35 examples
17:55 patterns
36:56 recursive sequences
43:42 limits of sequences
50:10 convergence or divergence?
1:07:15 squeeze theorem
1:37:50 monotonic sequences
2:00:08 bounded sequences
For the lazy :)
Thanks ;)
+xPa7r1cKx You are a wonderful person
+xPa7r1cKx you rock :)
+xPa7r1cKx thanks mate :)
+xPa7r1cKx You are awesome dude
This is probably gonna sound really weird but watching your lectures makes me feel like it's all gonna be fine lol
Dude😂😂😂. It's like he hypnotises me into the fact.
Same, man. Same.
Because it will be. I don't understand anyone else at my school. I don't understand why it has to be this way.
lol
This is exactly how I'm feeling .... was doubting my abilities but really it's the lack of professors actually teaching. None teach, except Professor Leonard. The tutor I've been seeing through my school's tutoring program gave me his youtube after I asked for any helpful tips or advice..... and this IS GODSENT.
I honestly don't even need to go to my college lectures with content like this, I'm basically paying my school to provide me with tests because this education is about 10x better than what I'm getting at school. The funny part? It's free. LOL
+Necrodox I couldn't agree more, this is like a miracle.
+Andrew Dunn (Narobii) This is a godsend of a resource, absolutely incredible.
+Necrodox I wish I had access to these lectures when I was taking this in college.
Erick Jackson they certainly are useful for clarifying abstract concepts.
+Necrodox Is it funny though? I know you weren't being literal, but it's something I have really thought a lot about I guess because at one point I wanted to go back to school but couldn't.
It just really goes to show how much we value a piece of paper over actual knowledge. If someone took the time to go through all these videos and learn the material, what does it matter that they didn't pay $30k+ to have someone say they learned it.
That and you could truly understand it if you had the time to work through it and not just an arbitrarily set week per topic or two which along with other classes forces you to rush through it - but that's a whole other thing.
Samuel McCandless
Please note that this lecture is dealing with SEQUENCES not SERIES. The convergence test for Sequences is very basic and is correctly stated in the lesson. The Divergence test that you reference is absolutely correct, but only for Series. Please visit the remaining lessons in the "Chapter" to see what I mean. Cheers and thanks for watching!!
Professor Leonard
it is nice
do you happen to teach calculus 3? Professor Leonard
Professor Leonard at 59:00 you mention the "old school" of indeterminate form of a limit instead of L'Hospital's rule. This involves dividing all the terms with the highest degree n in the denominator. If that same n has a coefficient, does that also get included when dividing the the terms?
Cristian Ramirez Yes, go to discussion into his youtube main page and you will get more information in regards to when he is updating cal 3 videos! ;)
ihonestytruthful yessssss, i hope he posts videos for calc 3 by next semester. He is really helpful when it comes to calc.
I have literally never cared to comment on a UA-cam video before as I just couldn't be bothered, but this guy's video is so great that I had to create a UA-cam account just so I can comment and let everyone knows how great it is. I have learnt more in 30 minutes than in several hours of Uni lectures.
+Gabriel Zenkner For almost every great, there is a greater, so do not be so excited about this guy, even though I too think that he's good.
@@AndyU96 with that logic, just get rid of excitement altogether, as for every "great" you are excited about, there will always be something "greater".
same!! I wish I had not gone to lecture and just watched this video earlier!
10 years later this video still helping people out. Thanks Prof Leonard.
i wish he had taught other courses too!! it is very tough to understand uni teachers when you are get used to prof leonard!
Have nothing against foreign teachers but this is why American teachers are so much better. Easy to understand, don't make comments like "my three year old nephew learned this last year", etc. etc. This guy will save me in my degree.
James Scott 😂😂
I actually unintentionally started raising my hand each time he asked "show of hands if youre okay with this" lol great lecture!
I do this to...:-D
supratik goswami bruh I’m even answering questions everytime he asks as if I’m in the class
I always do this
im also reactively noding along when he asks if we all understand this
I have never left a comment before, but I don't even have enough words to express how much you have helped me throughout my Calc 2 class. I felt dumb for not understanding a lot of the materials during lectures in class but you are such a great professor that I have been able to learn so much more from your videos and ace my exams. Your videos have been extra extra helpful rn with this pandemic and remote learning. My professor is old and is still struggling to adjust to remote learning, so we have had to teach ourselves Calculus 2 and prepare for exams. I shared your videos with several of my classmates as well and you are literally our hero. Thank you Professor Leonard!
I'm so glad to hear of your success considering your struggles!
This professor has everything a man should have in life: Muscles, Goodworkink Brain, Handsomeness, Humor and most importantly a Huge HEART.
yeah
haha exactly👏
I teach college-level classes and am so pleased to watch Prof Leonard's teaching methodology that makes complex topics a breeze; in fact, I am "borrowing" his style in my classes. Thank you for your excellent technics and patience.
Retired H.S. APCalc/APStats teacher here binge watching your channel. You have a gift for teaching and you also come across as very personable on the video. I find myself nodding, smiling, and raising my hand in response to you. Thanks for sharing these videos and your gifts with us.
At my university this was covered in a single 50 minute class. So needless to say this helped a lot haha.
same happened at my college
same
Shaan Siton same here
Same
yeah, my professor covered all of this in like 30 minutes. he just explained it using some obscure terminology that wasn't intuitive at all. prof Leonard has helped with all my math classes for years, even before I took calc in hs
The 79 dislikes are from salty University Professors lmao.
indeed
I think that most "bad" math lecturers at university probably don't even care if another math teacher is better than them or not - a lot of them give off this vibe like "okay, let's get this lecture over with so that I can go back to my research".
@@Peter_1986 my teacher got mad I was listening to a different lecture
@@Jeiss_V if you were doing it in class, it's understandable
@@aformula4198 no I meant outside of class obv haha, she didn't like how i was getting outside help like this youtube video
Fr, I pay $22k for tuition and then youtube is where I find quality professors. Thank you so much!
bro u got consfused with the dollar sign it should be irupess
FACTS
I'm taking calc 2 at Berkeley. And the professors there are supposed to be "too notch" but this series has helped me 1000 times more on my midterms than attending any lectures with my professor
*top notch
Oh my god same dude - I'm using this for Math 1b
literally same @@maanyapagare4600
Same I'm taking calc in Bowdoin
Yeah they are top notch researchers not necessarily professors lmao.
I owe this guy my tuition
SOMEBODY GIVE THIS MAN AN AWARD!!! EXCELLENT EXPLANATION, I WISH I HAD HIM AS MY MATH PROFESSOR, KEEP UP THE GREAT JOB! THANK YOU FOR POSTING :)
Dude my finals are next week and I absolutely didn't have any idea about my calculus I was thinking that I'm going to fail it, your videos literally saved me ! thanks dude ! I'm just sad that I didn't check your videos when I had my first and second exams :(
you make one of the hardest maths classes seem so easy and i love you for that thank you!
Hey! I just wanted to say thank you so, SO much for this video! I'm so glad I stumbled upon this when trying to figure stuff out. You are a lifesaver! I'm learning Calc 2 right now and my prof zooms through the material and expects us to remember a lot of stuff from Calc 1, which is hard since Calc 1 was a struggle for me as well. But after your lecture this whole sequence thing makes SO much more sense now! Also, thanks for going really slowly and explaining each step out really thoroughly, and for being so energetic about it. For the first time in AGES, I didn't fall asleep through a math lecture! I really appreciate it. You're literally saving my grade right now! I usually don't comment or like videos (just because I'm too lazy, lol) but I just had to here. Thanks a billion again!
All the way from South Africa,Prof Leonard is the best!
+Simphiwe Phiwe
Hi bro, where in south africa you from are you also doing Maths 4?
Richards bay,doing Applied maths
he need a savanna
Prof. Leonard's biceps mass is a monotonically increasing function.
Whenever an ads comes i watch the full ad, click the shop now or click here button during the ad too . That's The Respect I have for @Professor Leonard. While normally other UA-cam videos I am just impatient to click the skip ad video.
Yeah buddy nice professor
ua-cam.com/channels/h9Y_qCe81IZsFo8z3XgfBA.html
Man, I need you to put my arrogant Calc instructor on a set of sit ups with infinite reps cuz you just delivered to me what he could never in the last semester. Professor, you are AMAZING!
im glad this helped you but this class it not a typical college math class. professor leonard babies us in these lectures. college math is different. you only have 50 mins, not 2 hours. the best advice: READ AND TRY TO DO THE LESSON BEFORE CLASS so you will at least have a basis of understanding!!!!!!
This is helping so much!!!! My prof is incredibly smart, but tends to forget that some people in the class may be struggling. I love how you refresh students memories on past identities or rules and take time to explain your process to students that might not be getting it as quickly as others. In my class my teacher would give us a series then someone with more experience with them would automatically solve it, where i would still be thinking about it. Without being able to solve it myself, its harder to learn how to. Thank you for these!
My online Calc 2 course currently consists of worksheets and 8 minute mini lectures... I'm so thankful I found you a couple of years ago... I'll take your 2 hour Calc 2 lectures any day if it means I'll understand math and go into my exams with confidence. Thank you.
Sometimes I'll be taking notes going along and he will say, "look up here at the board please" to which I do instantly lmao. Legend.
If every lecturer was like this man, trust me the world would be a better place in every aspect.
I wish I found your video series sooner. Extremely helpful. First time I've ever watched a lecture video over 20 minutes. (and this one is over 2 hours!)
You remind me of my calc 1 professor. He explained so well and easy for one to understand. Sadly he wasn't able to teach calc 2 this semester. Im glad I found you. 3 more tests left and i was so worried about my upcoming test and now i feel confident. Going to ace this test!! 👊 thank you.
Professor Leonard is heaven sent. He asks his class very simple questions just to get them involved and make them feel like this is possible. He slowly but gradually makes things more complex but all still while guiding you through the problem.
Professor Leonard 2020
from the day i ha d the idea of watching your lecture, my understanding had increased
thank you prof.
It s convergent
god this series is so good! I remember being in high school calculus, looking thru all your videos for help. and here I am, years later reviewing series & sequences for a mathematical statistics class in college, as a junior. Thank you for your excellent teaching Professor Leonard! :)
Thanks professor! Due to the coronavirus my calc2 class has gone virtual. I am pretty old school and really do better in a classroom setting. You do such a great job at taking the time to make sure everyone understands the concepts, and your explanations are understandable. Definitely will be subscribing!
Professor Leonard! Learning new math has been quite a challenge for me as an "older" college student. Thank you for saving my ass 3 semesters in a row!! You definitely have a gift for instructing and I wish more Professors were able to present material even half as well as you do.
Limit of a sequence (convergence and divergence) starts at: 43:45
Why does he write '' less than '' as less than or equals to? For an example, if you want to say that the number
n is smaller than M, instead of writing n < M he writes n _M instead of n>M
These are some examples 2:00:28 to 2:00: 48
This clicked immediately with me.
Thanks you for being so patient in your teaching.
Can't wait to watch all you videos on sequences and series!
Started with you at pre-calc, now we are at the end of calc 2, thanks for everything
Please allow to see an English subscript which is auto generated. I want to study to talk about math in English from your lectures.
Linear Algebra and Number Theory lectures please.
+Sheane Crane OMG specially LINEAR Algebra :O
+ihonestytruthful Dont forget about Diffy-Qu!
I also vote yes for number theory!
One on Differential Equations would save my life
I NEED HELP 1:30:00 this theorem doesn't apply for {(1)^n}
Watch to the end- he covers it about 5 minutes before the end
I wish you were my real instructor, thank you for the great lecture. Extremely helpful! I wish you did a whole 2 hours of getting An formulas for sequences lol, they are cool and difficult.
Absolute best teacher ive ever seen..really care about the kids understanding of the material. I really appreciate your videos seeing as my Calc 2 teacher is not as good as you! Im praying you have calc 3 videos and DE! Thanks again
Haha I loved 1:51:31
"Plug in any number in the frekin world, and tell me if it's positive or negative" XD
You make things so clear! I think of the answer before you get to it on the board and it's such a nice feeling to have it right every time! Got my 2nd midterm monday and im definitely gona do well ^_^
How did you do?
*****
Got a 96, could've been 100 lol. But I got 100 on my final.
Just finished the next class last week, calc 3. Was pretty tough :[
Think I got an A though. Maybe.
Dude that's ridiculous! haha congrats! Scored 90 in both my last tests. Next one scaring me though.
*****
Nice! ANd thanks xD
Calc 3 was nothing like calc 2 though ugh
Hey, you're not helping......
Thank you professor I think you are the best cal teacher I have ever seen in my life. You are the one who helped me a lot while my final exams.Thank you professor ❤
All the way from Middle East Professor Leonard is the BEST !
I'm taking Calculus 2 during Covid times, so I'm taking it online. I'm pretty sure the retirement age professor that I have has never taught an online class before. The notes are completely illegible, he has a heavy Ukranian accent, and he doesn't explain things, he only shows you them and asks "Do you see?" When you respond, "No, I do not see." He says says, "Look right here. See? Do you see? Ok. So, moving on." I don't even watching the lectures and I only go through the notes to try to pick out the main objectives to learn for the test. Brofessor Leonard, you're a math hero. Your lectures and the Openstax text books have taught me 80% of the calculus that I've learned. Thank you.
if only we could like more than once
i love this man! Thank You! :)
From South Africa
People often in their spare time watch movie but I usually watch professor Leonard. He is an excellent singer of mathematics. I usually listen it again and again. Furthermore, the way he teaches his student is marvelous. What a gifted teacher! Thank you!
hmm I wish i discovered your lectures earlier in the semester lol Great work !
I'm retaking this class, probably could save a ton of money if I watched this back then.
Man Superman doesn't daylight at the Daily Planet, he's teaching Calculus. Much appreciated Professor Kent!
if only all my professors in college were like you, I'd ace every class. kinda sucks that you don't teach the rest of the chapters but I'm sure as hell thankful that you at least covered all of chapter 9. 👏
I’m glad that I found these videos. Every time my professor finished an example, he always had an urge to run out an smoke a cigarette, which I can tell because he would always stare out into space for a whole minute.
Very good lecture, and some nice eye candy! ;)
My professor from college literally sends us links of these videos to study Calculus 2 during the quarantine. Thanks Leonard!
Hello Professor Leonard, I'm a math student and your lectures help me a lot, THANK YOU from the bottom of my heart
thankyou sir after searching for so many video i found u...now i am understanding though iam weak in english..lots of love from nepal💌
Should've skipped class and watch this instead
true
I've literally done that
exactly what am I doing right now
I wish I had you as a professor back when I was going through Calc2 in 1997. However, I'm glad I have these lectures today as I'm going through DQ (after a long hiatus). Thanks.
Best professor on youtube hands down
Thank you so much for offering this to everyone. I struggle so much with my professors and there "weed-out-class" mentality. With your videos I have been able to not only do the math but understand it and even see how some of this can apply to my future career. Thank you so much!!
34:54 almost made me spit out my drink!
I found out about this guy on my second level, I've been studying through his lessons and now I'm on my final level.
Prof you are the best
Monotonic sequences (increasing and decreasing sequences) starts at: 1:37:49
thanks for saving life lol
You seriously are a Godsend! I'm taking an online Cal 2 course, I have horrible anxiety and hate asking questions to the professor. I've been trying my best to learn all this on my own and it hasn't been easy. I get stuck a lot and it's frustrating. I was even on the verge of just giving up! But you make it look so easy!! Plus I listened to your introductory lesson about studying and I really need to take that advice. I took Cal 1 in a one month long course...during the final, I would get stuck half way on each problem and totally bombed it. Still passed though, but what you said made so much sense about not fully interalizing it all. Obviously I retained SOME info, just not all. (Yet I think it's totally understandable for a short class.) Hoping to take your advice and do better this time around in Cal 2! Thank you!!!
Ok, not only is he easy to understand, he is funny and handsome! Win for studying for my Calc 2 final! Off to watch the rest of these videos :) HIGHLY recommending these vids to other students here at SFU.
Professor. This is after 6 years am enjoying a lesson this much and didn't bother to look up to the clock. Keep up the good work!
ı wısh he could have mıllıons of followers
and millions of peaches
half a thousand people don't know calculus
Don't forget a million dollars! Honestly, I feel like he's the type of professor, that even if he had billions of dollars, he would still want to teach. He seems so passionate about teaching and mathematics! He always expresses how cool applications of maths are. Hands down the best professor in the entire planet....at least from what I can tell. He needs more recognition!
+Leslie Anne Mujica
I think Brandon Leonard is about as good as a maths teacher can get.
He even has pretty much perfect ratings on RateMyProfessors, lol.
nerde o günler
Seriously Sir you are Awesome.
The way that you teach, this way should be learn by all of the teachers in the whole universe.
Well done Sir keep it up.
Be great if you could pause professors like youtube videos. Awesome lecture!
Man your so amazing, not all heroes wear cape but have an imaginary one that everybody can see once they see how incredible your teachings are.
1:37:38 --> "Is that interesting or what?!" "what"
If I ever get a large sum of money I am soooo going to write you a grant to some how teach an online math school! You're truly an amazing teacher and I (along with countless others!) really appreciate all you do, Thanks soooo much for this!
you looks really like a superman {clark kent}
+Akash Chauhan
His profile picture is PERFECT. xD
These lectures are helping me pass Cal 2! I'm taking it right now (summer semester) and there's just so much material to cover in so little time! These videos are a life saver!
Mr Leonard, everything is alright but those muscles break my concentration. Please put on a longer tshirt next time! Thanks!
you gay?
arent we all?
no shit Sherlock
+Josh H
You don't have to be gay to notice that Brandon Leonard is really handsome. =P
For example, you aren't a dendrophile just because you think certain trees look awesome - same thing.
professor leonard, thank you so much for these videos. i am a bio major who made the mistake of taking calc 2. i got a D on the first exam, started watched your lectures, and got a B on the second. i'm still doing bad, but i feel like everything will be okay with the motivation you give me (: i usually don't comment like this but i am so thankful to you
professor, will you be uploading calc 3 lectures?
He plans to make calculus 3 videos in the spring semester.
Oh hey thanks for that. Lol...I need to make donation to this professor.
he already does
My teacher just stopped giving classes due to corona, you re literally a life saver.
59:56 - "yes", I'm almost certain it's impossible to sound more disinterested and still answer a question
I actually kinda like that girl's voice, she sounds cute.
No words Sir🙌🙌❣️..Love from Nepal...U have good way of teaching and interacting...Love u
Try watched this on 1.5x speed for those who have some attention deficit like me. It also sounds slightly hilarious at first.
Starlord how
Wow what a fantastic series of lectures! I haven't done maths since high school, nearly 40 years ago so hadn't come across a lot of this stuff, but I understood all of it. Very good, clear teaching. Thanks
luckiest students in the world :D
but im afraid if one of them failed with him !
it's like 100% impossible to fail with him ..
Professor Leonard you are the best!!! You have made a major impact in my life and I hope you continue to put up content like this. Keep up the good work.
Just because a monotonically increasing sequence has an upper bound M does not mean that its limit is M. It only means that it has *some* limit which cannot be greater than M; it may be less than M. Now, if M were the *least* upper bound, the limit would be exactly M. Similarly for monotonically decreasing and greatest lower bound.
I think you one of the best lecturers ever, took me 1 month to try and study this but just in +- 17 hours I totally understand this Module from finding these videos here. There is difference between lecturers that know stuff and can teach the stuff that they know. You truly can make others understand.Please sir if possible do you have videos on complex analysis or Z-transforms and Laplace. Kind regards from South Africa.
You are the greatest mathematician in the world Professor Leonard. U know that right .d.d
Trying to relearn the first couple chapters of my math course and luckily I found this channel! It was so disheartening during our latest class on binomial expansion and elliptical integrals to see that I was being left behind and didn't even understand some of the basic concepts learned in the course. I hope to catch up on my lectures with these videos, so thank you very much!
i have a sucky professor right now, and you are helping me with cal 3 right now. Thank you professor Leonard.
Great video. Highly recommend for anyone needing help. I'm in Calc 2 for the summer semester. Due to the compressed schedule, the professor doesnt explain the concepts well. This video is exactly what I needed
53:05 so funny LOL. 2022 and here I'm taking Calc 2. Thanks professor!
God bless you professor leonard.
I came from an english speaking country and i'm presently studying engineering in french.
The classroom is useless for me i spend my time learning with prof leonard.
Merci beaucoup monsieur
bless this mans soul, he has given me something no professor has ever before - hope.
What a great teacher, your students are so lucky to have you. I can not really find words to thank you enough for such a great tutorial. Keep it up
I love your lectures. The way you teach is great. I am a math major and really enjoy math. Watching your lectures is so entertaining to me. Thank you and keep up the good work!
This is super, you are a good teacher. you know how to teach, and you do it slowly. You carry the class along with you and make your class interesting. to be honest, I never watch long videos before because I found it annoying, but your video are instructive interesting, and there are not boring. thank you so much for God have used you to improve my grade. remain bless
I like the way you explain the topic like it’s new and not cannon. So that anyone can just start as doesn’t have to watch all 13 previous video to understand what you’re saying
I am grateful for this video series. I have an excellent calculus 2 professor, but using Professor Leonard’s videos for review helps the content stick.