Hey from 2022. It's been a decade since this was posted, but you've saved my buns at university. These lectures are brilliant. My Calc I prof acts like she doesn't even want to be there and makes all of these concepts so convoluted and unnecessarily difficult. I appreciate how you break everything down in easy to digest bites. It's amazing. I hope you're still teaching out there because mathematics sorely needs teachers who genuinely love helping others learn! Many thanks.
All my professor says is "it is not rocket science" then he proceeds to not explain. He repeats that over and over again for about one hour and ends class. Mind you, it is a 3 hours lecture.
Basics: Limit(x->a) of f(x) = (a constant, c) 2:17 Limit(x->a) of f(x) = (x) 3:17 Limit(x->0) of f(x) = (1 / x) 5:24 Properties of limits 7:07 Finding Limits using their properties instead of tables 12:15 Limits of a Polynomial functions 18:34 Limits of a Rational functions 23:10 How to deal with domain issues 30:37 Can't simplify a domain issue ( Sign Analysis ) 40:45 Notes 47:35 Functions that are hard to factor 51:00 Rationalize out a square root with a conjugate 51:00 Limits of Piece-wise functions 1:01:12 Limits of Trigonometric functions 1:19:30 Using composition to solve 1:28:24 Squeeze Theorem 1:37:27 Tips When to write limit? 25:12 , 35:57 Difference between a hole and asymptote 31:35 Left off 53:56
I HAVE NEVER SEEN A MATHEMATICS TEACHER BETTER THAN HIM! I have been in this field for 40+ years. I am a maths teacher myself and, I must confess, he is a million times better than me. THREE REASONS WHY HE IS AT SUCH A HIGH POSITION OF EXCELLENCE: 1---------- Slow pace of progress 2----------Not skipping any step and Good explanation of all the necessary steps. 3---------- Making sure explicitly if everyone is on board.
+Haneef Qaazi the future of education is online.. imagine how accessible it would become for everyone.. you would only need to pay a fraction of what you would pay for a full-time, on campus course...Of course, there are some degrees which do require a full-time, on campus course, like medicine or chemistry, but everything else could be switched to online and distance learning.
Alex, if you took a fraction of your time to look at his videos, you'd see that he has other playlists (Calculus I, II, and III). This stuff (calc I is also taught in university as well). I'm in my first year and exactly what is covered here is covered in my University Calculus. There are many versions of calculus at any one university depending on what your major is.
Real talk. If this type of content would have been available when I went to college the first time, 25 years ago. I would not have failed and quit. Thanks to you and others, I am currently back in college as a 43 year old and thriving. You're the best man. Thank you.
See, TheOrganicChemistryTutor has been my jam since I started school but I just discovered Professor Leonard is equally good. If you are a science or a math major, pair these two youtube channels together and you really can't fail.
@@sarahlolo2100 I'm still in calculus but my grade is a 97 A. I aced both exams so far and all the homework assignments as well. Also I haven't taken algebra in 10+ yrs and when I did, I made C's lol. So I came in at a huge disadvantage compared to everyone else but my grades are the highest.
Ohhh same The Organic Chemistry guy is really good but I'm too dumb...i need a really really really basic on Calculus, this channel really helpful ☺️☺️☺️☺️
There are those who know what they teach, and there are those who can teach what they know.......Professor Leonard is the latter rarer breed. His enthusiasm is contagious.....long may he reign. A wonderful teacher.
+Kelly Mitchell I agree. my precalc teacher was good, but in second semester I got a new teacher for calc 1. she's really really really(math term) good at calculus, but she's not enthusiastic about teaching, skips steps, and nearly never checks that everyone is on board. I will make it through this class thanks to professor lenord.
My teacher is the same way. You can tell she knows what she is doing but when I try to comprehend it is completely beyond me. The Professor breaks it down to baby chunks so much easier I may actually pass my Calculus mini-term with understanding.
@@dweav31 u should see our algebra teacher she teaches so fast that if u stop writing for a single second she would erase what she did.... And we have her class 3 days a week and each class duration is two hours😑😑😑😑😑
Prof Leonard, you are a great teacher and a human being. from Australia a big thank you. you also bring a lot of respect to America, as you shaw that you are a representative of your culture to share knowledge and that not everything is money. THANK YOU. ALEX
Im sitting in school and paying attention in my calc 1 class and its like rocket science to me, and then I watch this videos and it all makes sense. thank you for explaining it so well
A lot of math teachers are obsessed with being formal and super-serious all the time, and they also often somehow give off this vibe that they are invincible in math and do everything perfect like robots, and this can easily make math feel boring and intimidating. It's much cooler when math teachers are relaxed and get to the point, and also explicitly admit making mistakes, kind of like "see, I'm human, I make mistakes".
You have truly impacted the lives of hundreds if not thousands of students around the world, you my friend should be proud of yourself. Thank you for your work and passion for teaching and mathematics, it is truly an extraordinary sight to see.
Late comment, but for anybody stuck or confused at 2:52:00 when Prof. Leonard says half angle identity and replaces cos(1/2pi -x) with sin(x) I believe he misspoke and meant to say Cofunction identity. Thanks to @Donovan Keating for pointing me in the right direction... To aid everyone else, I'll include the Cofunction Formulas here: sin(1/2pi -x) = cos(x) cos(1/2pi -x) = sin(x) csc(1/2pi -x) = sec(x) sec(1/2pi -x) = csc(x) tan(1/2pi -x) = cot(x) cot(1/2pi -x) = tan(x)
and if anyone is still stuck with this I'd recommend looking at a picture of the unit circle or checking out these functions in desmos to have a visual explanation
It has been a privilege to not only have the opportunity to learn calculus at my own pace (I typically catch on quickly and want to move on to the next part to understand the question "what's the point? or why are we doing this?") but to also learn from a good professor is amazing. There are a lot of people good at math and a lot of people good at spelling, but rarely do those skill join forces to create something as amazing as this course series. Thank you so much!
This video is of such high quality and standard that it has no dislikes or hate comments even after almost 2 entire years! That, professor, is a legendary achievement.
Professor Leonard, THANK YOU I am Thukela Jaji a student from the South African university of Pretoria and I would like to extend my greatest gratitude to you. You have helped me a great deal and I am truly grateful without measure, you are really a superhero and I would like to ask you to continue to make a difference in other people's lives. I pray that God continues to bless you with many more years. You really make maths fun and exciting. THANK YOU ,BAIE DANKIE(AFRIKAANS), NGIYABONGA(ZULU) AND GOD BLESS THUKELA JAJI
He is an incredible teacher. I took calculus years ago before TH-cam. Seeing his videos make me realize what an incredible resource students have today.
Am I the only that raises my hand when he asks if we understand. I feel like I'm watching Dora the Explorer...DO YOU SEE AN ASYMPTOTE..... DO YOU??? YAY! .....secants no swiping.
Thank god for you, sir. My teacher refuses to explain the theory and just says, "accept that this is this, don't worry why,". Well if you don't know why, you really never understand what you're doing.
I lot of them are like that .. I doubt they know the subject matter themselves........Those who know can explain everything like Professor Leonard.... Those who cant are just by hearters.. They just rote remember and blabber that out in the class....
hurrdurr25 SAME HERE!!! I asked my teacher about this and she said that I should Google the theory part if i really wanted to know but it's not required and she wouldn't teach me. I hate that type of teachers. They don't teach, they say "this is how it is done. Accept them. Learn the formulas and you should be able to score well in exams" btw that's an actual quote I heard from my teacher.
The worst instructor I have ever had was in Calculus at the university. He would perform some crazy stuff, a student would ask him how he did it and his response, "I just did it." That was 25 years ago! He had no grasp that we wanted instruction, not the results.
@@kallmekrissarchivetiktoks8012 I really hate when teachers says just do this and you will pass the exam. No, I don't want to learn anything just to pass the exam. If I don't know what I am truly doing, what am I going to do with getting A on the exam?
I am experiencing this alot currently, I am a first year Physics student and up until i found these vids i was really loosing hope. but now i see it not that bad if you just always refer to 1st principles. Thanks Prof Leonard, you have really renewed my excitement for maths.
I love this guy! My teacher doesn't explain things well, so I come here to learn the things I didn't understand in class. I was so nervous that I was gonna fail calculus this quarter, but now that I've subscribed to this channel I'm confident that I will do well in my class. THANK YOU THANK YOU THANK YOU!!!
It has been 5 years since the video was uploaded and it is still greatly helping me with Calulus in 2017. Professor, you proved that you can withstand the test of time. Hats off!
I am so glad i found this chanel,I had already accepted that i was going to fail calculus but thank GOD ALMIGHTY I found this chanel,everything is starting to make sense.I might have a chance to save myself.I cant believe this was posted 10 years ago and its 2023 and its making absolute sense than my lecture ever does
suraj awal4 - For those of you who are seeking Lecture 1.3,you must understandably notice(If you watched the entire Lecture 1.2) that Lecture 1.3 was combined to Lecture 1.2 because the last solved problem in Lecture1.2 was on the board in the beginning of Lecture 1.4.Hope that answers your question guys This is suraf awal4's comment but I thought it would be more helpful on lesson 1.2
Haven’t taken a math class in 10 years. I’m a 27 year old freshman, this really gave me a lot of good input on what I can expect out of college level math. I really appreciate the effort he puts into making math fun and how the rules of calculus apply. 👏
Professor Leonard, I just want to thank you for creating such detailed lectures. I appreciate you and all the time you have taken to create examples and helpful hints enable for students to understand. My current professor in calc. 1 doesn't explain anything to the class and just writes problems on the board expecting us to magically grab hold of everything. This makes it overwhelmingly difficult especially for students near to the criteria. Your videos are allowing me to clearly understand. Without the use of your lectures, I would most likely fail. Thanks a million!
I enjoyed this immensely. I did this exactly 40 years ago and am ever so pleased I still remember it all after all these years. Just proves that once you understand something, you'll never forget it. I will be looking out for other videos by Professor Leonard. I love the way he doesn't take any knowledge for granted and explains each and every step. Students are so lucky nowadays to be able to find such good stuff at the press of a button. Use it wisely!
He reminds me of my AP Calc AB and BC teacher from high school! Extremely smart, one of those muscly erudits, fun, and funny! If we had more teachers like that we would be a much smarter country!
This is all we need. We can repeat and watch it as many times as it takes. We can skip around. Then if we have a question, we save it for more TH-cam or maybe office hours.
As a calculus 1 students that haven't touch math in 2+ years. Professor Leonard, Khan Academy, blackpenredpen and Organic Tutor is the combo to go for pretty much anyone. I have a terrible calculus professor that is all about plug in numbers in formula and solve. Professor Leonard for lecture Khan Academy for simplify lecture/concepts Organic chemistry tutor for how to the work. blackpenredpen is great for reviewing everything. When do all that, go read your calculus book, you will understand what the book means. Then finally do as many questions as you can in the book Saving lives in 2023.
Thank you Professor Leonard for all of your help. I like the way you teach because you explain the material clearly in a way I can understand. I have taken Calculus I and II but need a refresher for my upcoming job. You truly are the Superman of Math
My calc teacher just shows us powerpoints and does a horrid job of explaining things. This was an absolute lifesaver!! Now calc isn't so scary anymore : )
Good lord why didn't I find you earlier! I struggled so much with my calculus teacher because he just could not teach. Marker board makes sense, drawing on that pad that gets projected onto the smart board doesn't. Kahn academy doesn't have anything on you good sir, well done!
I have been asking myself th same question, but the reality is that for a long time I'd lost faith in teachers/professors so I'd try to self teach even when it wasn't working. So glad now with TH-cam I get to pick who my professor will be, sort of. Still, I wish I'd done this sooner!
I´ve donated a few hundred dollars to prf.Leonards patreon project in order for him to make more of these videos. Tbh I have never been able to grasp math as easy as when he´s explained it.
You are the best Professor ever! Jeez! Last time I studied mathematics was 10 years ago, now I am back to university, decided to study a different field, and it is so tough to manage going to classes, doing the assignments, getting ready for the midterms/exams...while also working. My exam is in 2 days and I feel like you are going to save my life! God bless you!
This guy is a really good teacher. He makes calculus seem easy. I've done teaching, and making a complicated subject accessible is not easy. It's a gift.
Thanks so much for you're videos I go back to college in the fall and I'm watching you're videos to prepare and im really understanding calculus. My friends think I'm a dork for watching these videos everyday and it's like I'm actually in you're class I have my pencil and paper. I watch them every morning around 6 or at night. I like learning new things to keep my mind going 😊😊😊
Professor, i have just started watching your videos. I am a 45 yr old who is pursuing my bachelors degree in business. I have to say you have the best presentation skills I have ever seen in the mathematics field. I love the way you present the subject sections with extreme detail to explanation. I cant tell you how many classes i have taken in my adult pursuit of various degrees where the instructor was either terrible at presenting the subject or very vague and seemed to skip important steps that you would use as the key for the next section. Not saying they didnt know what they were doing, just that to me, the transfer of knowledge was not presented well. I have just finished watching 1.1 and 1.2 of calculus 1 and i understand more about limits than the entire semester class i took and failed taught me. Kudos to you sir!
Thank you, thank you, thank you. I switched out of my first calculus class this semester because the professor didn't teach. He expected us to learn everything by reading a textbook. The professor in the class I switched into does teach, but not very well. He dove straight into solving limits without any of the explanation as to what it was or why it mattered. Your videos have given me the pre-cal/trig refresher that I didn't get from my first professor and the understanding of what a limit is that I have yet to receive from my current professor. You will be the reason I pass calculus this semester.
Wow thank you Professor Leonard am glad I was able to find your site ...this has given me a better understanding of the topic on Limits in my Calculus Class
I'm so unbelievably grateful for these videos. My professor spouts definitions and theorems at us, but does not go through the process of solving the problems or explain WHY these things matter or how they work together. Thank you so much.
I have a really great teacher at my school, but sometimes, she doesn't show us why do we do the stuff we do. So I like how you constantly remind your students that this is heading to something bigger and show them how does the current piece help us to achieve it :)
I thank God for bringing you to me, I wish I could see you and give my voice of thanks to you professor for your helpfulness. I think you also thank the Almighty God for this Blessing. I have only 1 week at school but you have made everything very easy for me.I thank you Pro
Former math major college dropout here. This is fantastic! I'm brushing up on all the stuff that I thought I'd have to let go. Math was definitely a good choice for a major back when I was in school. By far the most interesting and engaging classes I took.
From 2024, I've been wishing I could have discovered Professor Leonard sooner. I binge-watched his tutorials on TPT, Precalculus, Differential Equations, and Statistics within just one month, and now I'm fully immersed in Calculus tutorial with him. Reflecting on his teaching style, I feel a twinge of regret that I hadn't found him earlier. His method of instruction made learning feel like watching a captivating movie, especially with his humorous interjections like "if that could go viral on youtube will be awesome 43:28" which i feel as if I am in his class. am in mid semester and I am very confidence A+ in calculas
These videos are so legit! I wish i could just skip class and learn it from here and show up for tests, but my teacher takes attendance so i have to be there.. =(
you're so incredible, i've graduated highschool for over 5 years, hating math so much, but now i'm getting to like math more and more with your lecture
Precious!!! I wish my math teacher was like that. Clear and coherent explanation. But more important- making sure that the material is understood by all. I salute you.
I love this professor so much! Who knew you could actually crack up laughing and learn limits at the same time.. lol (At the "cross out both x's and get 'SIN'")
how awesome is it being able to follow something... like its like a tunnel opening up in my heart or water turning from poopie brown to clear and I can breathe again... this proves that anyone can learn anything if they have the right teacher.... life went from sand paper to wingardium leviosa... just floating everywhere
Your videos are the best videos on college level mathematics tutorial! Could you please do a list of linear algebra videos? That would really help a lot
I am so thankful I found this! I literally did not understand limits. I wish more MATH teachers would explain, show and engage students as he does. Thank you so much, Professor Leonard!
I really really thank you for these videos from the deepest of my heart i wouldn't know what to do do with out it cause i'm studying in turkey ''in Turkish of course '' and i can't understand a word from the teacher . you ARE awesome !!
These videos have literally saved my butt. The first week of calc 1 at the university and the teacher is really unorganized and I have learned nothing. These videos have taught me more than my professor has even said!! THANK YOU SO MUCH!
+Professor Leonard Can you open the English subtitles automatically for this video ? I am not a native speaker, so it is difficult for me to understand the lecture without subtitles. By the way, thank you very much for posting those videos. It helps me learn math a lot.
You are the absolute best at teaching. Calculus is a class that I hate with every fibre in my body but you make it really fun to do. I've never been on the same page let alone ahead of my professors because the work was always so foreign to me but watching your videos even once has made me enjoy going to class. Never stop with these videos!
because of this channel I have gathered the strength and motivation to catch up with my calculus studies. not only because of this guy's good looks, but his excellent skills as a lecturer. keep up the goodwork,sir!
When I think of great professors I immediately think of Professor Leonard. Thank you for all that you do Professor H you are the best in the game and no one even comes close!
Professor Leonard, this is FANTASTIC. Thank you. I am teaching myself Calculus and will be viewing your videos continuously. Bless you for thinking about those of us who really want to learn but who either cannot afford a class or am not in a position to enroll in a class due to current time constraints.
I'm 47 and did calculus in university decades ago. Now I'm doing it again to help my kids. Somehow I completely missed rationalizing with the conjugate. Thanks for these lectures. It is really helpful to be able to review and go at my own pace.
![BABYMONSTER - 'DRIP' M/V REACTION [WAS NOT EXPECTING THIS!!!]](http://i.ytimg.com/vi/t0Lpgr1jo3Y/mqdefault.jpg)
Hey from 2022. It's been a decade since this was posted, but you've saved my buns at university. These lectures are brilliant. My Calc I prof acts like she doesn't even want to be there and makes all of these concepts so convoluted and unnecessarily difficult. I appreciate how you break everything down in easy to digest bites. It's amazing. I hope you're still teaching out there because mathematics sorely needs teachers who genuinely love helping others learn! Many thanks.
agreed
from 2023
@@tracy1-45 I relate swell 100%
agreed from 2024 @@tracy1-45
@@tracy1-45still in 2023
All my professor says is "it is not rocket science" then he proceeds to not explain. He repeats that over and over again for about one hour and ends class. Mind you, it is a 3 hours lecture.
Basics:
Limit(x->a) of f(x) = (a constant, c) 2:17
Limit(x->a) of f(x) = (x) 3:17
Limit(x->0) of f(x) = (1 / x) 5:24
Properties of limits 7:07
Finding Limits using their properties instead of tables 12:15
Limits of a Polynomial functions 18:34
Limits of a Rational functions 23:10
How to deal with domain issues 30:37
Can't simplify a domain issue ( Sign Analysis ) 40:45
Notes 47:35
Functions that are hard to factor 51:00
Rationalize out a square root with a conjugate 51:00
Limits of Piece-wise functions 1:01:12
Limits of Trigonometric functions 1:19:30
Using composition to solve 1:28:24
Squeeze Theorem 1:37:27
Tips
When to write limit? 25:12 , 35:57
Difference between a hole and asymptote 31:35
Left off 53:56
UPVOTE!
/rt
you're a lifesaver, thanks!
God
Where are rest??
I HAVE NEVER SEEN A MATHEMATICS TEACHER BETTER THAN HIM!
I have been in this field for 40+ years. I am a maths teacher myself and, I must confess, he is a million times better than me.
THREE REASONS WHY HE IS AT SUCH A HIGH POSITION OF EXCELLENCE:
1---------- Slow pace of progress 2----------Not skipping any step and Good explanation of all the necessary steps. 3---------- Making sure explicitly if everyone is on board.
+Haneef Qaazi this guy is a legend I agree.
Thank you Sir! for acknowledging the greatness of this exceptionally wonderful teacher.
Wish you all the best in your Calculus learning.
+Haneef Qaazi the future of education is online.. imagine how accessible it would become for everyone.. you would only need to pay a fraction of what you would pay for a full-time, on campus course...Of course, there are some degrees which do require a full-time, on campus course, like medicine or chemistry, but everything else could be switched to online and distance learning.
He is a good high school teacher but for college calculus, I would recommend CALWORSHOP!! check it out.
Alex, if you took a fraction of your time to look at his videos, you'd see that he has other playlists (Calculus I, II, and III). This stuff (calc I is also taught in university as well). I'm in my first year and exactly what is covered here is covered in my University Calculus. There are many versions of calculus at any one university depending on what your major is.
Real talk. If this type of content would have been available when I went to college the first time, 25 years ago. I would not have failed and quit. Thanks to you and others, I am currently back in college as a 43 year old and thriving. You're the best man. Thank you.
How's ur college going?
Same. Where do you go and what are you studying?
See, TheOrganicChemistryTutor has been my jam since I started school but I just discovered Professor Leonard is equally good. If you are a science or a math major, pair these two youtube channels together and you really can't fail.
How did you do in calculus with both their videos ???
@@sarahlolo2100 I'm still in calculus but my grade is a 97 A. I aced both exams so far and all the homework assignments as well. Also I haven't taken algebra in 10+ yrs and when I did, I made C's lol. So I came in at a huge disadvantage compared to everyone else but my grades are the highest.
Wylona wow amazing job! Who would you say is more helpful for calculus professor leanord or the organic chem tutor 😭 I’m desperate rn
@@sarahlolo2100 Leonard is better for calculus but both are helpful
Ohhh same The Organic Chemistry guy is really good but I'm too dumb...i need a really really really basic on Calculus, this channel really helpful ☺️☺️☺️☺️
how many of you are in 2024
Here
Here I am
Me
here as well. neat to know some math teachers still suck :,)
Here
this video was uploaded when I was in 1st grade in primary school now im a freshman in university! you've been teaching GENERATIONS thank you for that
wow same, didnt notice till you brought it up
There are those who know what they teach, and there are those who can teach what they know.......Professor Leonard is the latter rarer breed. His enthusiasm is contagious.....long may he reign. A wonderful teacher.
I have been in the University now for 2 weeks and I am learning MORE from Prof. Leonard.
+Kelly Mitchell I agree. my precalc teacher was good, but in second semester I got a new teacher for calc 1. she's really really really(math term) good at calculus, but she's not enthusiastic about teaching, skips steps, and nearly never checks that everyone is on board. I will make it through this class thanks to professor lenord.
My teacher is the same way. You can tell she knows what she is doing but when I try to comprehend it is completely beyond me. The Professor breaks it down to baby chunks so much easier I may actually pass my Calculus mini-term with understanding.
Hundred percent!
@@dweav31 u should see our algebra teacher she teaches so fast that if u stop writing for a single second she would erase what she did.... And we have her class 3 days a week and each class duration is two hours😑😑😑😑😑
Its 2023 and you're still the best Professor!
Prof Leonard, you are a great teacher and a human being. from Australia a big thank you. you also bring a lot of respect to America, as you shaw that you are a representative of your culture to share knowledge and that not everything is money.
THANK YOU. ALEX
Thanks Alex! I'm glad you enjoy :)
Im sitting in school and paying attention in my calc 1 class and its like rocket science to me, and then I watch this videos and it all makes sense. thank you for explaining it so well
A lot of math teachers are obsessed with being formal and super-serious all the time, and they also often somehow give off this vibe that they are invincible in math and do everything perfect like robots, and this can easily make math feel boring and intimidating.
It's much cooler when math teachers are relaxed and get to the point, and also explicitly admit making mistakes, kind of like "see, I'm human, I make mistakes".
teachers like you is what makes mathematics a truly enjoyable creative experience..thank you!!
*are
Aravinth Balaji that's why nobody likes english class
That's true
@@quantumaravinth its actually correct
@TRAPGR, how is it correct? The subject is plural
You have truly impacted the lives of hundreds if not thousands of students around the world, you my friend should be proud of yourself. Thank you for your work and passion for teaching and mathematics, it is truly an extraordinary sight to see.
Late comment, but for anybody stuck or confused at 2:52:00 when Prof. Leonard says half angle identity and replaces cos(1/2pi -x) with sin(x) I believe he misspoke and meant to say Cofunction identity. Thanks to @Donovan Keating for pointing me in the right direction...
To aid everyone else, I'll include the Cofunction Formulas here:
sin(1/2pi -x) = cos(x)
cos(1/2pi -x) = sin(x)
csc(1/2pi -x) = sec(x)
sec(1/2pi -x) = csc(x)
tan(1/2pi -x) = cot(x)
cot(1/2pi -x) = tan(x)
half angle identity...just a tag for any one ctrl-f ing that
This has helped a lot with my confusion. Thank You.
and if anyone is still stuck with this I'd recommend looking at a picture of the unit circle or checking out these functions in desmos to have a visual explanation
It has been a privilege to not only have the opportunity to learn calculus at my own pace (I typically catch on quickly and want to move on to the next part to understand the question "what's the point? or why are we doing this?") but to also learn from a good professor is amazing. There are a lot of people good at math and a lot of people good at spelling, but rarely do those skill join forces to create something as amazing as this course series. Thank you so much!
This video is of such high quality and standard that it has no dislikes or hate comments even after almost 2 entire years!
That, professor, is a legendary achievement.
4 people disliked just because they read your comment lol
Proof?
even 10 years later it has 1.4 million views and 0 dislikes!
Professor Leonard, THANK YOU
I am Thukela Jaji a student from the South African university of Pretoria and I would like to extend my greatest gratitude to you. You have helped me a great deal and I am truly grateful without measure, you are really a superhero and I would like to ask you to continue to make a difference in other people's lives. I pray that God continues to bless you with many more years. You really make maths fun and exciting.
THANK YOU ,BAIE DANKIE(AFRIKAANS), NGIYABONGA(ZULU) AND GOD BLESS
THUKELA JAJI
im south African too currently at unisa, how much percent did u get in ur math classes
@@Burgervfx I remember i got a distinction but cant remember the percentage.
He is an incredible teacher. I took calculus years ago before TH-cam. Seeing his videos make me realize what an incredible resource students have today.
Am I the only that raises my hand when he asks if we understand. I feel like I'm watching Dora the Explorer...DO YOU SEE AN ASYMPTOTE..... DO YOU??? YAY!
.....secants no swiping.
I do it LOL
Comedy gold
But there's a difference...... Dora is a blind girl
Thank you Superman! You saved my Math grade :)
it’s been quite a while since you posted this video, but I wanted to let you know you’re still helping math students in 2018! :) thanks!
in 2019 too.
In 2020 too
In 2024 too
In 2025 too
@@BrwaKurdish its now 2020 and im here... lol
Thank god for you, sir. My teacher refuses to explain the theory and just says, "accept that this is this, don't worry why,". Well if you don't know why, you really never understand what you're doing.
I lot of them are like that .. I doubt they know the subject matter themselves........Those who know can explain everything like Professor Leonard.... Those who cant are just by hearters.. They just rote remember and blabber that out in the class....
hurrdurr25 SAME HERE!!! I asked my teacher about this and she said that I should Google the theory part if i really wanted to know but it's not required and she wouldn't teach me. I hate that type of teachers. They don't teach, they say "this is how it is done. Accept them. Learn the formulas and you should be able to score well in exams" btw that's an actual quote I heard from my teacher.
The worst instructor I have ever had was in Calculus at the university. He would perform some crazy stuff, a student would ask him how he did it and his response, "I just did it." That was 25 years ago! He had no grasp that we wanted instruction, not the results.
@@kallmekrissarchivetiktoks8012 I really hate when teachers says just do this and you will pass the exam. No, I don't want to learn anything just to pass the exam. If I don't know what I am truly doing, what am I going to do with getting A on the exam?
I am experiencing this alot currently, I am a first year Physics student and up until i found these vids i was really loosing hope. but now i see it not that bad if you just always refer to 1st principles. Thanks Prof Leonard, you have really renewed my excitement for maths.
You’re helping me to understand so much more. I wish you were my professor you’re so good at explaining things. God bless you and your family.
Same here
I love this guy! My teacher doesn't explain things well, so I come here to learn the things I didn't understand in class. I was so nervous that I was gonna fail calculus this quarter, but now that I've subscribed to this channel I'm confident that I will do well in my class.
THANK YOU THANK YOU THANK YOU!!!
Plnlmöä å Philip
Ghhhh
It has been 5 years since the video was uploaded and it is still greatly helping me with Calulus in 2017.
Professor, you proved that you can withstand the test of time. Hats off!
if he were my teacher I would really enjoy every class. His lectures literally boost my self-esteem and confidence about study
I am so glad i found this chanel,I had already accepted that i was going to fail calculus but thank GOD ALMIGHTY I found this chanel,everything is starting to make sense.I might have a chance to save myself.I cant believe this was posted 10 years ago and its 2023 and its making absolute sense than my lecture ever does
suraj awal4 -
For those of you who are seeking Lecture 1.3,you must understandably notice(If you watched the entire Lecture 1.2) that Lecture 1.3 was combined to Lecture 1.2 because the last solved problem in Lecture1.2 was on the board in the beginning of Lecture 1.4.Hope that answers your question guys
This is suraf awal4's comment but I thought it would be more helpful on lesson 1.2
Thanks
thanks, that's exactly what i was searching for
Haven’t taken a math class in 10 years. I’m a 27 year old freshman, this really gave me a lot of good input on what I can expect out of college level math. I really appreciate the effort he puts into making math fun and how the rules of calculus apply. 👏
how you doing now? I'm a 27 year old freshman now lol his videos are saving my ass
@@christopherobrien7629 20 YEARS OLD freshman and this video is definitely saving my ass for upcoming test.
2018 and he is still saving grades every day. Thank you Professor Leonard
Professor Leonard, I just want to thank you for creating such detailed lectures. I appreciate you and all the time you have taken to create examples and helpful hints enable for students to understand. My current professor in calc. 1 doesn't explain anything to the class and just writes problems on the board expecting us to magically grab hold of everything. This makes it overwhelmingly difficult especially for students near to the criteria. Your videos are allowing me to clearly understand. Without the use of your lectures, I would most likely fail. Thanks a million!
I think you singlehandedly got me through calc. I graduated in 2020 but felt like I should say thank you again 😀
I enjoyed this immensely. I did this exactly 40 years ago and am ever so pleased I still remember it all after all these years. Just proves that once you understand something, you'll never forget it. I will be looking out for other videos by Professor Leonard. I love the way he doesn't take any knowledge for granted and explains each and every step. Students are so lucky nowadays to be able to find such good stuff at the press of a button. Use it wisely!
I pay $500 for a calculus course in university and these videos are way better and free, thank you.
What an inspiring, passionate teacher. Thank you for helping students outside your own classroom!
He reminds me of my AP Calc AB and BC teacher from high school! Extremely smart, one of those muscly erudits, fun, and funny! If we had more teachers like that we would be a much smarter country!
This is all we need. We can repeat and watch it as many times as it takes. We can skip around. Then if we have a question, we save it for more TH-cam or maybe office hours.
Your videos are enjoyable to watch during this quarantine time, and doesn't feel like a 3-HOUR math lecture!
th-cam.com/video/XPCgGT9BlrQ/w-d-xo.html 💐💐
As a calculus 1 students that haven't touch math in 2+ years. Professor Leonard, Khan Academy, blackpenredpen and Organic Tutor is the combo to go for pretty much anyone. I have a terrible calculus professor that is all about plug in numbers in formula and solve.
Professor Leonard for lecture
Khan Academy for simplify lecture/concepts
Organic chemistry tutor for how to the work.
blackpenredpen is great for reviewing everything.
When do all that, go read your calculus book, you will understand what the book means.
Then finally do as many questions as you can in the book
Saving lives in 2023.
who do you think is the best of all
@@arandomperson7811 no one, I listed what each of them are the best as based on my opinions
Thank you Professor Leonard for all of your help. I like the way you teach because you explain the material clearly in a way I can understand. I have taken Calculus I and II but need a refresher for my upcoming job. You truly are the Superman of Math
My calc teacher just shows us powerpoints and does a horrid job of explaining things. This was an absolute lifesaver!! Now calc isn't so scary anymore : )
If only all teachers were like you, the world would be a far better place.
WOw. I have learned more about calculus from ONE of your videos than from 2 tutors and my professor.
Thank you!!!
Good lord why didn't I find you earlier! I struggled so much with my calculus teacher because he just could not teach. Marker board makes sense, drawing on that pad that gets projected onto the smart board doesn't. Kahn academy doesn't have anything on you good sir, well done!
Yes, it does make sense
We're not in stone-age
I feel the same way.
I have been asking myself th same question, but the reality is that for a long time I'd lost faith in teachers/professors so I'd try to self teach even when it wasn't working. So glad now with TH-cam I get to pick who my professor will be, sort of. Still, I wish I'd done this sooner!
Ryan Cowles same here. Wish I had him in highschool
"Analysis is one of those things you can't abbreviate well" had me rolling lol
I´ve donated a few hundred dollars to prf.Leonards patreon project in order for him to make more of these videos.
Tbh I have never been able to grasp math as easy as when he´s explained it.
So glad. I just let the commercials run instead of skip. It's all I can do.
@@winterrain1947 I do that too! It also serves as a small break in the meantime.
You are the best Professor ever! Jeez! Last time I studied mathematics was 10 years ago, now I am back to university, decided to study a different field, and it is so tough to manage going to classes, doing the assignments, getting ready for the midterms/exams...while also working. My exam is in 2 days and I feel like you are going to save my life! God bless you!
This is why i am a proponent of cloning
This guy is a really good teacher. He makes calculus seem easy. I've done teaching, and making a complicated subject accessible is not easy. It's a gift.
Thanks so much for you're videos I go back to college in the fall and I'm watching you're videos to prepare and im really understanding calculus. My friends think I'm a dork for watching these videos everyday and it's like I'm actually in you're class I have my pencil and paper. I watch them every morning around 6 or at night. I like learning new things to keep my mind going 😊😊😊
Professor, i have just started watching your videos. I am a 45 yr old who is pursuing my bachelors degree in business. I have to say you have the best presentation skills I have ever seen in the mathematics field. I love the way you present the subject sections with extreme detail to explanation.
I cant tell you how many classes i have taken in my adult pursuit of various degrees where the instructor was either terrible at presenting the subject or very vague and seemed to skip important steps that you would use as the key for the next section. Not saying they didnt know what they were doing, just that to me, the transfer of knowledge was not presented well.
I have just finished watching 1.1 and 1.2 of calculus 1 and i understand more about limits than the entire semester class i took and failed taught me. Kudos to you sir!
You deserve way more views for this quality of teaching
You are saving me, literally. This vid is a bit old, 2012, its 2019 now and its REALLY useful. I hope you are doing great prof.
Greatest teacher of all time! I'm doing well in Calc cause of you.
Thank you, thank you, thank you. I switched out of my first calculus class this semester because the professor didn't teach. He expected us to learn everything by reading a textbook. The professor in the class I switched into does teach, but not very well. He dove straight into solving limits without any of the explanation as to what it was or why it mattered. Your videos have given me the pre-cal/trig refresher that I didn't get from my first professor and the understanding of what a limit is that I have yet to receive from my current professor. You will be the reason I pass calculus this semester.
Wow thank you Professor Leonard am glad I was able to find your site ...this has given me a better understanding of the topic on Limits in my Calculus Class
I'm so unbelievably grateful for these videos. My professor spouts definitions and theorems at us, but does not go through the process of solving the problems or explain WHY these things matter or how they work together. Thank you so much.
I have a really great teacher at my school, but sometimes, she doesn't show us why do we do the stuff we do. So I like how you constantly remind your students that this is heading to something bigger and show them how does the current piece help us to achieve it :)
I am currently taking business calculus and I am super thankful that you have taken the time to record your lectures. Much respect!!
I thank God for bringing you to me, I wish I could see you and give my voice of thanks to you professor for your helpfulness. I think you also thank the Almighty God for this Blessing. I have only 1 week at school but you have made everything very easy for me.I thank you Pro
Former math major college dropout here. This is fantastic! I'm brushing up on all the stuff that I thought I'd have to let go. Math was definitely a good choice for a major back when I was in school. By far the most interesting and engaging classes I took.
Sign analysis helped me on an exam today, thank you! So easy to do.
Hi , I am a junior in high school and this is great since am doing ap calculus this year. I am really thankful for your videos
calculus is so cool when taught by you professor
This is an example of someone who's truly passionate about their job. Which I appreciate because I love math myself, being into software and coding
Thank you professor for sharing your knowledge. Invaluable stuff.
I am in high school calculas and you make this class so much more understandable. Thanks and great job.
Professor Leonard makes math easy to understand.
From 2024, I've been wishing I could have discovered Professor Leonard sooner. I binge-watched his tutorials on TPT, Precalculus, Differential Equations, and Statistics within just one month, and now I'm fully immersed in Calculus tutorial with him. Reflecting on his teaching style, I feel a twinge of regret that I hadn't found him earlier. His method of instruction made learning feel like watching a captivating movie, especially with his humorous interjections like "if that could go viral on youtube will be awesome 43:28" which i feel as if I am in his class. am in mid semester and I am very confidence A+ in calculas
the longest 3hrs of my life pheww
good job
+Rim Oo hereee i goo wish me luck. haha
+Llama Ranger Now it's my turn.
That's why you gotta watch it at 2x speed
+20vAe86 thats a nice idea but how do i do that on phone
watch with a pen and paper in your hand
It has been 12 years but still your lectures are GEM
I wish Professor Leonard could give me homework. LOL.
+UnforsakenXII i wish he could come to my home so we can put in some work lol
B
@@ahha4113 C
d
@@ayrthhhn yes
so lucky that people like Prof. Leonard exist!!!! Thank you sir....!!!
These videos are so legit! I wish i could just skip class and learn it from here and show up for tests, but my teacher takes attendance so i have to be there.. =(
you're so incredible, i've graduated highschool for over 5 years, hating math so much, but now i'm getting to like math more and more with your lecture
I also raise my hand when he asks "so who's okay with this one" , just to make sure i'm okay with that one lol
I owe you my deepest gratitude for your caring about teaching. It is like no other I have ever seen.
your class is so entertaining .I wish i were also there
Precious!!!
I wish my math teacher was like that.
Clear and coherent explanation.
But more important- making sure that the material is understood by all.
I salute you.
You're an incredible professor. Keep up the quality content.
You're amazing Professor Leonard, best teacher ever. You're saving me!
I love this professor so much! Who knew you could actually crack up laughing and learn limits at the same time.. lol (At the "cross out both x's and get 'SIN'")
how awesome is it being able to follow something... like its like a tunnel opening up in my heart or water turning from poopie brown to clear and I can breathe again... this proves that anyone can learn anything if they have the right teacher.... life went from sand paper to wingardium leviosa... just floating everywhere
Your videos are the best videos on college level mathematics tutorial! Could you please do a list of linear algebra videos? That would really help a lot
I am so thankful I found this! I literally did not understand limits. I wish more MATH teachers would explain, show and engage students as he does. Thank you so much, Professor Leonard!
I really really thank you for these videos from the deepest of my heart i wouldn't know what to do do with out it cause i'm studying in turkey ''in Turkish of course '' and i can't understand a word from the teacher . you ARE awesome !!
mobs??
These videos have literally saved my butt. The first week of calc 1 at the university and the teacher is really unorganized and I have learned nothing. These videos have taught me more than my professor has even said!! THANK YOU SO MUCH!
wooow.... that was the longest video I"ve ever watched on youtube. Thanks Professor
What got me is he has over 950 videos which are all fairly long! Eeks.
Professor Leonard -- Saving one GPA at a time.
I sincerely thank and appreciate you.
+Professor Leonard Can you open the English subtitles automatically for this video ? I am not a native speaker, so it is difficult for me to understand the lecture without subtitles. By the way, thank you very much for posting those videos. It helps me learn math a lot.
You are the absolute best at teaching. Calculus is a class that I hate with every fibre in my body but you make it really fun to do. I've never been on the same page let alone ahead of my professors because the work was always so foreign to me but watching your videos even once has made me enjoy going to class. Never stop with these videos!
Everybody Bow Down to the Calculus hero!
because of this channel I have gathered the strength and motivation to catch up with my calculus studies. not only because of this guy's good looks, but his excellent skills as a lecturer. keep up the goodwork,sir!
It would be pretty scary if there was a sine analysis test
Ono is oo o o ok o o o poop poop o poop oo o poop poop o
When I think of great professors I immediately think of Professor Leonard. Thank you for all that you do Professor H you are the best in the game and no one even comes close!
th-cam.com/video/XPCgGT9BlrQ/w-d-xo.html 💐💐💐
"Analysis is one of those things you can't really abbreviate that well" lol
Professor Leonard, this is FANTASTIC. Thank you. I am teaching myself Calculus and will be viewing your videos continuously. Bless you for thinking about those of us who really want to learn but who either cannot afford a class or am not in a position to enroll in a class due to current time constraints.
@ 2:51:55 that is a cofunction formula not a half angle identity, according to my trig identity sheet. Also thank you for your videos they amazing.
I'm 47 and did calculus in university decades ago. Now I'm doing it again to help my kids. Somehow I completely missed rationalizing with the conjugate. Thanks for these lectures. It is really helpful to be able to review and go at my own pace.
Lol I’m 12 in calc 1 rn.
@@mortiloniperpomontinson ok.
@@mortiloniperpomontinson so?