/ professorleonard Calculus 1 Lecture 1.2: Properties of Limits. Techniques of Limit Computation
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@katieh68932 жыл бұрын
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.
@tracy1-45 Жыл бұрын
agreed from 2023
@lilmupp875 Жыл бұрын
@@tracy1-45 I relate swell 100%
@user-pq2jy8wx6b11 ай бұрын
agreed from 2024 @@tracy1-45
@ItsMeAsh-ns1ok11 ай бұрын
@@tracy1-45still in 2023
@priscilladed9 ай бұрын
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.
@mikeyamaro90354 жыл бұрын
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
@mrmohamed54944 жыл бұрын
UPVOTE!
@leosmi13 жыл бұрын
/rt
@mirixf3 жыл бұрын
you're a lifesaver, thanks!
@Jacob-my7tz3 жыл бұрын
God
@premlatakumari93673 жыл бұрын
Where are rest??
@KrinivashIrom3 ай бұрын
how many of you are in 2024
@haneefmsqaazi9 жыл бұрын
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.
@lukemiller27068 жыл бұрын
+Haneef Qaazi this guy is a legend I agree.
@haneefmsqaazi8 жыл бұрын
Thank you Sir! for acknowledging the greatness of this exceptionally wonderful teacher. Wish you all the best in your Calculus learning.
@TechnoKid798 жыл бұрын
+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-jf6kl7 жыл бұрын
He is a good high school teacher but for college calculus, I would recommend CALWORSHOP!! check it out.
@iLoveTurtlesHaha7 жыл бұрын
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.
@atxsonicengineering7 ай бұрын
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.
@hipiyushpatel5 ай бұрын
How's ur college going?
@wylona24945 жыл бұрын
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.
@sarahlolo21005 жыл бұрын
How did you do in calculus with both their videos ???
@wylona24945 жыл бұрын
@@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.
@sarahlolo21005 жыл бұрын
Wylona wow amazing job! Who would you say is more helpful for calculus professor leanord or the organic chem tutor 😭 I’m desperate rn
@wylona24945 жыл бұрын
@@sarahlolo2100 Leonard is better for calculus but both are helpful
@manhwaeditor76511 ай бұрын
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 ☺️☺️☺️☺️
@samhassan43038 жыл бұрын
teachers like you is what makes mathematics a truly enjoyable creative experience..thank you!!
@quantumaravinth6 жыл бұрын
*are
@johndoughboy24316 жыл бұрын
Aravinth Balaji that's why nobody likes english class
@manigr8est4 жыл бұрын
That's true
@jimsgreatloot3 жыл бұрын
@@quantumaravinth its actually correct
@quantumaravinth3 жыл бұрын
@TRAPGR, how is it correct? The subject is plural
@barryhughes97646 жыл бұрын
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.
@humanoid19605 жыл бұрын
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
@ProfessorLeonard5 жыл бұрын
Thanks Alex! I'm glad you enjoy :)
@johamad51486 ай бұрын
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
@Tee0313Ай бұрын
wow same, didnt notice till you brought it up
@BobSmith-ww9rp8 жыл бұрын
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
@Peter_19864 жыл бұрын
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".
@djudjuy9 жыл бұрын
I have been in the University now for 2 weeks and I am learning MORE from Prof. Leonard.
@Firestar-rm8df8 жыл бұрын
+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.
@dweav318 жыл бұрын
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.
@gyaseddintanrkulu6 жыл бұрын
Hundred percent!
@animeshmajumdar663 жыл бұрын
@@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😑😑😑😑😑
@maxtruong18711 ай бұрын
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.
@arandomperson781111 ай бұрын
who do you think is the best of all
@maxtruong18711 ай бұрын
@@arandomperson7811 no one, I listed what each of them are the best as based on my opinions
@AndroidDeveloper0076 жыл бұрын
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)
@slakerjak38446 жыл бұрын
half angle identity...just a tag for any one ctrl-f ing that
@brandon43793 жыл бұрын
This has helped a lot with my confusion. Thank You.
@SoelaylahMarquard11 ай бұрын
Its 2023 and you're still the best Professor!
@hurrdurr259 жыл бұрын
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.
@karnabudhathoki62897 жыл бұрын
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....
@kallmekrissarchivetiktoks80127 жыл бұрын
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.
@TheFarmanimalfriend5 жыл бұрын
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.
@tarakhanal18645 жыл бұрын
@@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?
@kierenvanderhaar63294 жыл бұрын
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.
@victorcortez1887 Жыл бұрын
"Analysis is one of those things you can't abbreviate well" had me rolling lol
@matts92166 жыл бұрын
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!
@avrie13108 жыл бұрын
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.
@rwharrington875 жыл бұрын
I do it LOL
@Thelydiariley4 жыл бұрын
Comedy gold
@awakenonline50984 жыл бұрын
But there's a difference...... Dora is a blind girl
@user-sm5cf8vz8w6 жыл бұрын
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!
@christiana69585 жыл бұрын
in 2019 too.
@BrwaKurdish5 жыл бұрын
In 2020 too
@yoyonostring21475 жыл бұрын
In 2024 too
@akashsourav31634 жыл бұрын
In 2025 too
@daniellebryan34964 жыл бұрын
@@BrwaKurdish its now 2020 and im here... lol
@tonywu850610 жыл бұрын
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.
@trevd20879 жыл бұрын
4 people disliked just because they read your comment lol
@musicaldoge9412 Жыл бұрын
Proof?
@upsidedownChad Жыл бұрын
even 10 years later it has 1.4 million views and 0 dislikes!
@Jacob-ly4vd10 жыл бұрын
I pay $500 for a calculus course in university and these videos are way better and free, thank you.
@TheSpasmer7 жыл бұрын
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.
@winterrain19475 жыл бұрын
So glad. I just let the commercials run instead of skip. It's all I can do.
@tiyasha29074 жыл бұрын
@@winterrain1947 I do that too! It also serves as a small break in the meantime.
@yousefawwad31268 жыл бұрын
Thank you Superman! You saved my Math grade :)
@JorgeRamos-ix1jm5 жыл бұрын
He is an incredible teacher. I took calculus years ago before KZfaq. Seeing his videos make me realize what an incredible resource students have today.
@t.jkheswa81053 жыл бұрын
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
@Burgervfx6 ай бұрын
im south African too currently at unisa, how much percent did u get in ur math classes
@t.jkheswa81055 ай бұрын
@@Burgervfx I remember i got a distinction but cant remember the percentage.
@user-ph2jq5zi1r3 жыл бұрын
Your videos are enjoyable to watch during this quarantine time, and doesn't feel like a 3-HOUR math lecture!
@beoptimistic58533 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 💐💐
@vincentv8991 Жыл бұрын
I think you singlehandedly got me through calc. I graduated in 2020 but felt like I should say thank you again 😀
@floresamor414610 жыл бұрын
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!!!
@antonsundin67902 жыл бұрын
Plnlmöä å Philip Ghhhh
@hustales21736 жыл бұрын
if he were my teacher I would really enjoy every class. His lectures literally boost my self-esteem and confidence about study
@JachinDitle Жыл бұрын
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
@Sunny-Smiles12342 жыл бұрын
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.
@MsTori_boss2 жыл бұрын
Same here
@krisyeyint52657 жыл бұрын
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!
@OwolabbyAzeez9 жыл бұрын
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
@muhammadsheryarsaleem50546 жыл бұрын
Thanks
@none_of_your_business6 жыл бұрын
thanks, that's exactly what i was searching for
@jameschastain65133 жыл бұрын
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. 👏
@christopherobrien7629 Жыл бұрын
how you doing now? I'm a 27 year old freshman now lol his videos are saving my ass
@maxtruong18711 ай бұрын
@@christopherobrien7629 20 YEARS OLD freshman and this video is definitely saving my ass for upcoming test.
@TheMrAwesomeNinja5 жыл бұрын
2018 and he is still saving grades every day. Thank you Professor Leonard
@angelvaladez87407 жыл бұрын
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!
@mcwho39 жыл бұрын
This is why i am a proponent of cloning
@abdullahiomar43982 ай бұрын
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
@TechnoKid798 жыл бұрын
If only all teachers were like you, the world would be a far better place.
@LakeBodomsReaper9 жыл бұрын
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!
@ryancowles563310 жыл бұрын
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!
@Ali-mi9up6 жыл бұрын
Yes, it does make sense We're not in stone-age
@yuriorlov476 жыл бұрын
I feel the same way.
@icono__71364 жыл бұрын
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 KZfaq I get to pick who my professor will be, sort of. Still, I wish I'd done this sooner!
@mkavigil4 жыл бұрын
Ryan Cowles same here. Wish I had him in highschool
@EricScottPhung9 жыл бұрын
WOw. I have learned more about calculus from ONE of your videos than from 2 tutors and my professor. Thank you!!!
@arifinzakaria2499 жыл бұрын
slow and steady. no hurry at all. thumbs up!
@snehakumari9208 жыл бұрын
calculus is so cool when taught by you professor
@CharlotteForbes8 жыл бұрын
What an inspiring, passionate teacher. Thank you for helping students outside your own classroom!
@tritonh56833 жыл бұрын
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 KZfaq or maybe office hours.
@maryannborg49957 жыл бұрын
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!
@markhurban85519 жыл бұрын
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
@katelynanimations12089 жыл бұрын
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 😊😊😊
@uglynerd87646 жыл бұрын
You are a living proof of the phrase: "there are no difficult subjects, only bad teachers" Thank you for making me care about calculus
@faria51795 жыл бұрын
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.
@juanortegon1937 жыл бұрын
Professor Leonard makes math easy to understand.
@muspanisho3 жыл бұрын
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
@sarafeliciano30883 жыл бұрын
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!
@kdoumlele13 жыл бұрын
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.
@solennial643610 жыл бұрын
You deserve way more views for this quality of teaching
@SirRomeritto8 жыл бұрын
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 :)
@williambeasley8387 жыл бұрын
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!
@w02skyrocket517 ай бұрын
2024 and we're still using your help. THANK YOU FROM THE BOTTOM OF MY HEART
@thepibbxman10 жыл бұрын
Greatest teacher of all time! I'm doing well in Calc cause of you.
@aduragba9 жыл бұрын
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
@Excalibur__2233 жыл бұрын
I’ve been sleeping while my phone has been auto playing videos and woke up to this
@jameshitt32633 жыл бұрын
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.
@mandizzy0238 жыл бұрын
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.. =(
@cardinalsimenywa31487 жыл бұрын
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
@tez16236 жыл бұрын
I am in high school calculas and you make this class so much more understandable. Thanks and great job.
@johntornay4195 жыл бұрын
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.
@ocgeekgirl8 жыл бұрын
Sign analysis helped me on an exam today, thank you! So easy to do.
@snehakumari9208 жыл бұрын
your class is so entertaining .I wish i were also there
@abranquinonez48454 жыл бұрын
I am currently taking business calculus and I am super thankful that you have taken the time to record your lectures. Much respect!!
@ankiths40457 жыл бұрын
you r the best professor i understand everything u teach u r better than my usless college teachers continue teaching mever stop plz make videos on straight lines and conic sections
@peachlife51187 жыл бұрын
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'")
@aSh134349 жыл бұрын
Thank you professor for sharing your knowledge. Invaluable stuff.
@lakersyoungcoreareaveragep16392 жыл бұрын
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
@darklord26262 жыл бұрын
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.
@ervindelrosario161510 жыл бұрын
your students are so lucky to have you as their prof.
@nmslmatachuan2 жыл бұрын
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
@ranaewhitaker23484 жыл бұрын
Yay distance learning now I’m self teaching calculus
@corneliuscornwall20363 жыл бұрын
so lucky that people like Prof. Leonard exist!!!! Thank you sir....!!!
@Ireemo18 жыл бұрын
the longest 3hrs of my life pheww good job
@llamaranger25768 жыл бұрын
+Rim Oo hereee i goo wish me luck. haha
@masterofmath4498 жыл бұрын
+Llama Ranger Now it's my turn.
@Fantasterific8 жыл бұрын
That's why you gotta watch it at 2x speed
@amrayman26988 жыл бұрын
+20vAe86 thats a nice idea but how do i do that on phone
@MRsouthparkrulezz8 жыл бұрын
watch with a pen and paper in your hand
@taylorpreston96328 жыл бұрын
You're an incredible professor. Keep up the quality content.
@hayden37745 жыл бұрын
Professor Leonard -- Saving one GPA at a time. I sincerely thank and appreciate you.
@johnn26384 жыл бұрын
Calculus was difficult at first. But it gets easier and easier along the way.
@beoptimistic58533 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 💐💐
@irvdo11179 жыл бұрын
Everybody Bow Down to the Calculus hero!
@mikaelkad10 жыл бұрын
wooow.... that was the longest video I"ve ever watched on youtube. Thanks Professor
@CallumF1210 жыл бұрын
What got me is he has over 950 videos which are all fairly long! Eeks.
@ariab86556 жыл бұрын
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!
@hahahahah78128 ай бұрын
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
@mmotiozbildirici86188 жыл бұрын
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 !!
@almostapples89677 жыл бұрын
mobs??
@dee83173 жыл бұрын
+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.
@dianeallen38103 жыл бұрын
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!
@rayj12324 жыл бұрын
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!
@beoptimistic58533 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 💐💐💐
@UnforsakenXII9 жыл бұрын
I wish Professor Leonard could give me homework. LOL.
@Jeska918 жыл бұрын
+UnforsakenXII i wish he could come to my home so we can put in some work lol
@ahha41133 жыл бұрын
B
@UnforsakenXII3 жыл бұрын
@@ahha4113 C
@ayrthhhn2 жыл бұрын
d
@UnforsakenXII2 жыл бұрын
@@ayrthhhn yes
@merritt20148 жыл бұрын
It would be pretty scary if there was a sine analysis test
@paulbrewer85332 жыл бұрын
Ono is oo o o ok o o o poop poop o poop oo o poop poop o
@xvgreen8586 Жыл бұрын
I was able to solve the tangent limit by my own, I'm loving this
@amyleeizmee8 жыл бұрын
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!
@TheTravisTribble5 жыл бұрын
@ 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.
@ahmed9909410 жыл бұрын
I praise you, Sir!
@KelticDr4g0n7 жыл бұрын
wow I am just starting Calc 1 in college and I am not math oriented at all.. this is so helpful I wish you were my teacher.. you need to teach math teachers how to teach bc you make it make sense.. thanks a ton
@user-xw7un3bd9g8 ай бұрын
Differentiation made so easy and simple. Thanks Professor Leonard❤❤