This guy is bar none the best mathematics instructor I have seen on KZitem. Whatever they are paying him where he teaches they need to double it.
@dmorgan0628
8 жыл бұрын
I wish he taught at ASU :(.
@romaniangod5649
6 жыл бұрын
So true XD
@rwharrington87
5 жыл бұрын
Agreed
@boitsheporoselynogopotse2421
5 ай бұрын
This man saved me a lot of trouble for 2 semesters, this man is a legend❤😢
@abhishekraj1603
4 жыл бұрын
For those of you wondering, no, there is no lecture 1.3. He took up directly from where he left in lecture 1.2. By the way, thankyou sir.
@John_Bolstad
4 жыл бұрын
thanks lol
@joudal-hourani6279
3 жыл бұрын
you're brilliant thanks
@DarthVader-gp4kr
3 жыл бұрын
This helped calm the panic
@5amdrive465
2 жыл бұрын
I swear I keep looking for it 😅🤧🙏🏽
@willpugh-calotte2199
2 жыл бұрын
Thank you.
@citizenseducated8390
7 жыл бұрын
1:37 The three conditions of continuity at a point x = c 5:10 Graphical representations of the three conditions of continuity 12:35 Finding whether or not three example functions are continuous at x=2 18:31 Statement for continuity of f(x) on an open interval (a,b) 19:35 Discussion of continuity of f(x) at the endpoints x=a and x=b 24:59 Proving f(x) = sqrt(16 - x^2) is continuous on [-4, 4] 35:38 Properties of limits f(x) and g(x) which are both continuous at x=c 38:20 Discussion of lim x→c f(x)/g(x) where g(c)=0 (holes & asymptotes) 40:38 Using continuity & limits to prove all polynomials are continuous everywhere 44:19 A rational function p(x)/q(x) is continuous everywhere except where q(x)=0, where we have either a hole or an asymptote 49:47 Finding discontinuities of f(x)=(x^2 - 4)/(x^2+x-6) 54:27 Proving f(x) = abs(x) is continuous everywhere 1:00:33 Proving we can separate limits via composition 1:05:02 Ex: Evaluating lim x→c |10 - 3x^2| 1:10:28 Ex: Finding inverse of f(x) = x^3 1:12:54 Concept of Intermediate Value Theorem 1:19:38 Approximating roots with IVT 1:21:27 Written rule for finding roots with IVT 1:23:05 Ex: estimating roots of y = x^3 - x - 1
@_ashyou
7 жыл бұрын
'Thank you'
@hibae5126
7 жыл бұрын
omg you owe us a lot thaaankssss
@gabrielmora5992
7 жыл бұрын
Bless your soul
@charlesbelisle9941
4 жыл бұрын
Citizens Educated god bless you 🙏
@kierenvanderhaar6329
4 жыл бұрын
Thanks for the above
@alexanderg.larose6860
3 жыл бұрын
The sad part about math is that your grade is often times more dependent on your teacher/professor than it is on your own intelligence. One teacher can make calc seem like quantum mechanics, while another can make the exact same subject as easy to understand as adding and subtracting. I am so lucky to have found you.
@johnmayberry9800
2 жыл бұрын
He takes the time to review prior algebra/trig topics and reiterates things to really help you recall and hammer into your head in an easy manner.
@abulolakew2852
8 жыл бұрын
i was so in to the lecture @ 18:26 i said bless you when ever that kid sneezed and the whole library gave me that look.
@dmorgan0628
8 жыл бұрын
I watch his videos on the treadmill and I'm drawing the functions with my hand I'm sure people think I'm crazy at the gym lol.
@amrayman2698
8 жыл бұрын
+Dan Morgan that multi tasking though. id trip on my face if i did that
@harshalabhyankar3144
7 жыл бұрын
where did dota come from?
@gabrielmora5992
7 жыл бұрын
DOTA is life.
@julianacavalcante3417
5 жыл бұрын
@@gabrielmora5992 agree
@zongonative7397
10 жыл бұрын
For those of you who are seeking Lecture 1.3,you must understandably notice(If you really 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.
@RADman305
10 жыл бұрын
thank you very much!
@zongonative7397
10 жыл бұрын
RADman305 You are welcome
@jacksainthill8974
9 жыл бұрын
suraj awal Thanks, though I did get there, albeit four months later than you. Actually, your comment might have been more helpful if attached to Lecture 1.2 but, truly, thanks again anyway.
@BoredErica
9 жыл бұрын
Yeah, I was looking at the stuff on the right hand side and saying hmm... that looks awfully familiar!
@hritvikharshakumarhegde2227
8 ай бұрын
thanks
@L7ttleM1ss
10 жыл бұрын
You are an AMAZING teacher! It's because of you that I can leave Calc 1 class completely confused and not stress over it because I know your videos will explain everything clearly when I get home. And best of all I can learn Calc 1 in my comfy lounging clothes while enjoying a nice snack :)
@abuhashimr.a6602
9 жыл бұрын
right!
@mrcoffee315
6 жыл бұрын
Lol the same feeling
@VieciTheengineerastronaut
Жыл бұрын
@@mrcoffee315 Mr. Coffee haha
@jamesmonaco623
6 жыл бұрын
I'm not even in calculus yet and I legitimately enjoy watching this series/note taking. I learn so much from these lectures and know it will be very helpful down the road.
@breenriley6345
6 жыл бұрын
Seriously, thank you, Prof. Leonard! I've been trying for 3 weeks to teach myself Calc I for an online class. You have made it make sense finally. I can finally do my homework and breath. Thank you, thank you, thank you!
@jake9854
8 ай бұрын
but girls r bad at math tho
@annievillalta3227
4 жыл бұрын
Back when someone could sneeze in class and no one would think anything of it lol
@irvlazaro7302
2 жыл бұрын
he called them sneeze grenades, which they are now lol
@pritvidiya8989
Жыл бұрын
It’s so wholesome how everyone said Bless you 😊
@vanchark
8 жыл бұрын
I love looking at these videos because since I'm self studying AP Calc AB, these lectures assure that I don't miss anything valuable :)
@vonaxl7617
9 жыл бұрын
Wow, if you were my Calc prof, I'd have 0 problem giving you my undivided attention, I'd attend your class even if it was at 5am on a Sunday. Sorry, but it had to be said.
@Crissybooable
7 жыл бұрын
because he is such a great teacher yes :)
@fredericborloo1910
7 жыл бұрын
Or maybe because he's an awesome human being, and the best maths teacher ever, and genuinly funny... and yes, good looking... but, so what?
@cthullik6719
7 жыл бұрын
He IS the total package..... damn him!
@halliejones79
6 жыл бұрын
EXTRA T H I C C He can be my math Superman any day 😂
@Peter_1986
4 жыл бұрын
@@Crissybooable AND because he is hot - let's be honest about that. =P He even literally calls himself a "hot guy" in the video "Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables" at 2:47:00, lmfao.
@jessschwartz8974
3 жыл бұрын
I know it has been years since this was posted, but it just saved my life. Thankyou so much professor leonard!!!!
@shawna6545
7 жыл бұрын
Yo, I hate seeing those "That Tutor Guy" ads whenever I watch anything involving math.
@winslowleach1835
3 жыл бұрын
The videos from 2012 are helping.
@911cafe
Ай бұрын
Yo, thought was the only one🤣🤣. He ain't that bad but you've got to pay so why despise the free KZitem content from which he might have learnt from too. We should downvote the ad.
@911cafe
Ай бұрын
@@winslowleach1835 Certainly in agreement with you.
@danial9787
10 ай бұрын
this playlist is a gem. im so lucky i have found this. im gonna rock my next exam for sure
@alin636
5 жыл бұрын
10:02 Just a note here: The limit does not exist if f(g)->infinity although you can see it that way. That's because infinity is not defined as a real number. I got what he meant, but that's mathematical incorrect. Anyway you write that the limit equals infinity although you should be aware that it's not a "limit value". Anyway this was a super pedagogical lecture! Thank you Professor Leonard!
@christopherlove4465
7 жыл бұрын
This guy is definitely the best I have come across in my time on youtube. His explanations are the most complete I have ever seen.
@jananmirafridi
7 жыл бұрын
hallo professor, i really like Ur class, point to the point teaching methods. its really helpful. also for Ur kindness i started from bigging and i wish to go to the end. i wish it help me in the calculus 1 paper.very nice... NO BODY CAN DO WHAT U DID. THANKS A LOT.
@dragoncrystal24
9 жыл бұрын
:P my small calculus class is split with another class, so we've been watching these videos in absence of a full time teacher. Thanks for these, they're very helpful!
@911cafe
Ай бұрын
I definitely like your humor😇 Almost all my math teachers are stone-faced and work on how best they can beat the hell out of my back instead of how best they can drum the content into my head.
@SKYadav-xt3xm
4 жыл бұрын
Really never ever learn calculus in this way.Loved it now l understand why all the thing are occurring and able to related question with graph. Epic teaching in calculus...😍😍
@mattkriese7170
11 ай бұрын
Amazing that this stuff was posted 11 years ago when I graduated. I never took calculus then, as I thought I would never need it in life. Here I am 11 years later going back to school and discovering just how incredibly powerful this subject is, and hoping to learn it well enough to tutor. Definitely inspired by this man's methods of teaching and aspiring to have such a great understanding of a very complex subject.
@jerryp8041
11 ай бұрын
18:31 Statement for continuity of f(x) on an open interval (a,b) 35:38 Properties of limits f(x) and g(x) which are both continuous at x=c 38:20 Discussion of lim x→c f(x)/g(x) where g(c)=0 (holes & asymptotes) 40:38 Using continuity & limits to prove all polynomials are continuous everywhere 44:19 A rational function p(x)/q(x) is continuous everywhere except where q(x)=0, where we have either a hole or an asymptote 1:12:54 Concept of Intermediate Value Theorem
@TheSpasmer
5 жыл бұрын
Go to his patreon page and give him a couple of bucks so he can continue making video lectures like these.
@MohammedFatal
6 жыл бұрын
He is definitely the best professor I've seen in my whole life. No words can describe how much he's awesome and Thank you in advance.
@snehakumari920
8 жыл бұрын
For those of you who are seeking Lecture 1.3,you must understandably notice(If you really 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
@gladdenitiowe3172
8 жыл бұрын
+PANKAJ DAS are you presently taking a calculus class?
@musicluver7125
8 жыл бұрын
+PANKAJ DAS He doesn't cover 1.3 in his class so there is no video for it. I believe he said something about the content of it being unnecessary for Calc 1
@masterofmath449
8 жыл бұрын
+musicluver7125 Where did you see that at? The he said 1.3 is unnecessary because I didn't hear him say that.
@sean1445
8 жыл бұрын
+musicluver7125 It's just combined, that's why the video is 3 hours long. 1.3 probably has to do with the squeeze theorem, which we didn't bother proving.
@masterofmath449
8 жыл бұрын
+Ushikawa Really dude read my last comment it's not combined.
@juanrosa4685
8 жыл бұрын
Professor Leonard is hecka better than my teacher, lol
@halliejones79
6 жыл бұрын
Juan Rosa. Better looking, too 😂
@yO0NO0
8 жыл бұрын
i want him as my professor . He is so good at explaining things and making it easier . i have so much respect for him :)
@awwwcomeon
4 жыл бұрын
40:28 "were gonna talk about that in 3.5 mins roughly...no, not roughly, exactly" LOL
@kf88743
6 жыл бұрын
What I love is that Professor Leonard seems genuinely happy to share his love of math with others. I dont see this in many teachers. I belive many teachers start this way, but somehow the love is lost and the teaching becomes just a step of motions.
@MALI-gj8sk
3 жыл бұрын
Love your way of teaching sir...very few times i listen to teacher in class but now I am watching you and i am lov in it❤️
@brendonkurehwatira9890
9 жыл бұрын
This is the best, you do not even have to force the stuff in, or crack your head because the explanations makes it crystal clear. Thank you Professor. Thanks.
@MatthewHerronplus
6 жыл бұрын
Professor Leonard is amazing. I wish I had him as my university math instructor. I have learned more in 5 days on these videos than I did in 5 months of college lectures. His style is ideal; energetic, comprehensive and precise. Does he do calc 2, 3, 4???
@emmesang8782
5 жыл бұрын
Matthew Herron He has playlists for calc 2 & 3, I think. You could probably look on his channel to watch more!
@isaacburdiss
3 ай бұрын
Thank you so much! I'm taking this course asynchronously in 6-weeks, and the videos they have me watch suck. The professor doesn't ever explain why she does what she is doing. This is way better!
@manigr8est
2 жыл бұрын
i dont take lectures of calc 1 anymore, because i know Sir Leonard will explain each and every thing that no one else can do. I only watch your lectures now.
@BeWaReJay
Ай бұрын
12:03 Mann i could imagine the students' faces when the one guy asked the question haha
@thelila5030
2 жыл бұрын
Best teacher ever !!! im about to cry , hello form 2021
@John-wx3zn
3 жыл бұрын
"removable discontinuity" means the whole is removable by changing the function to a piecewise function where the x,y value that fills the hole removes the discontinuity and the that function that has only one value in its domain is c.
@spugged9800
Жыл бұрын
The one guy to make me actually pursue math, amazing classes btw
@reabetsoempapa1594
3 жыл бұрын
The person sneezing at 29:36 just reminded me that gone are the days you sneeze and you get a bless you
@sreedeviajikumar3177
6 жыл бұрын
Thank you prof.Leonard.You are an awesome teacher and your lectures are so much fun........I understood every bit of it.
@MathJam
4 ай бұрын
Thank you so much!! You make the concepts easy to comprehend. Really appreciate it.
@sarahpero9048
3 жыл бұрын
You are the BEST MATHEMATICIAN I´ve ever seen. I wish you were in Germany... Your students are soooo lucky......
@gabrielmora5992
7 жыл бұрын
I honestly require every College to interpret your enthusiasm, for not only your lectures but for the subject itself.
@mcwho3
9 жыл бұрын
Good sneezes 29:35, 1:19:32
@rancegarrett3696
7 жыл бұрын
Thanks a bunch!
@seanwells1672
6 жыл бұрын
Do you have a lecture on espilon-delta proofs? Your lectures are awesome btw!
@shawnlight9695
7 жыл бұрын
Professor Leonard, I just started a Calculus I class online. Your 1.1 - 1.3 videos helped me tremendously! I don't know if you will get this b/c the video is aged, but THANK YOU!!!
@Xyz12391
4 жыл бұрын
After watching this I just realized that the limit properties directly correlate to the rules for finding derivatives. Can't believe that I learned everything I needed for Calculus in my first week of class without realizing it.
@gollum2364
3 жыл бұрын
I am paying him by watching ads.but still i owe him for such great knowledge.
@sunnyzhu5791
3 жыл бұрын
You are nice.you must be a republican
@yusufabdirashiid4127
6 жыл бұрын
You are the best teacher l have ever seen
@rishavkumar7715
7 жыл бұрын
you are one of the best teacher and bestest maths teacher I have ever studied
@abuhashimr.a6602
9 жыл бұрын
I really really appreciate that you've shared this videos prof. thankyou very much
@sherlockholmes6956
9 жыл бұрын
Prof. Leonard, please collaborate with Khan Academy. I will be an asset, I'm sure and that way millions more can benefit from what you offer here. KZitem is banned in a lot of countries. P.S why are your students always seem half asleep in your class. I wonder its because they know that they can watch the lectures later when they get home so they don't stay as alert.
@mcwho3
9 жыл бұрын
Sherlock Holmes Or he could just make his own website and post the videos there too.
@Moon___man
9 жыл бұрын
+Sherlock Holmes because students are shy.. like me.. i dont wanna speak out unless im sure, and even then im too scared ill be wrong lol
@sherlockholmes6956
9 жыл бұрын
MoonMan moonman, are you enjoying the lunar eclipse right now? It's almost over now anyways.
@Moon___man
9 жыл бұрын
Sherlock Holmes i totally forgot about it, i think its over :(
@revasap
2 жыл бұрын
Dear professor, at 01:12:28 , the function is continuous both for f(x) = x^3 and its inverse between negative and positive infinity, but it is not the case for f(x) = x^2 (inverse domain is 0, +infinity), which is also a polynomial.
@ryankramer2779
9 жыл бұрын
I started saying "bless you" after awhile.
@PimpMatt0
7 жыл бұрын
I should have just watched these videos before taking Calculus in college.
@japhethjohuel
7 жыл бұрын
Really helpful, anytime I drop my riffle you keep me busy refreshing my cal
@jerryacoutin4565
11 жыл бұрын
You are toooo amazing!!!!! 100000000000000000000000000000000 TIMESS BETTER THAN MY PROFESSORRRRRR!
@xianmariano6422
5 жыл бұрын
2 minutes in and I finally I understood a concept that I was stuck on
@qp433
7 жыл бұрын
Im a dude just here trying to pass my class but damn his biceps are fkn huge
@jonathanswinsburg7716
5 жыл бұрын
Just so the advetisers know: No, I am not tired of searching KZitem for math help. Yaymath, Kahn academy, and Professor Leonard are better than most things on TV these days.
@arsal16
Жыл бұрын
when your own professor recommends you professor leonard yt channel
@genreenglish1591
6 жыл бұрын
You are amazing! I mean I dotn take Calculus yet, but I still am taking the basics in Algebra 1. Keep making videos! They help a lot.
@piyush6631
5 жыл бұрын
I just love Professor's videos and explanations but I can't wrap my head around this. Can anyone explain at 1:04:00 professor made a jump from lim x tends to c f(g(x)) to f(L) and explains that if x is close to c, then g(x) must be equal to L. But, we're supposed to find the limit of f first, not the nested function g. If we're first calculating the limit of g first then f, and then proving that lim x->c f(g(x) = f(Lim x->c g(x)) then isn't the whole proof pointless. Because we're saying that we can put the limit of the composite function inside the nested function but we're literally taking the proof and using it in our steps.
@Mynhassty
4 жыл бұрын
I've noted the same problem. Besides that, at the minute 1:02:25 he says that g(x) is also continuous...
@mplechenebury6207
6 жыл бұрын
Clear, engaging, to the point. Keep doing what you're doing!
@weallgotwoodandnails
11 жыл бұрын
This is a phenomenal supplementary, if not replacement, for my current Cal I class. Excellent teaching technique, the in depth look and useful examples really help make the information real and understandable beyond a plug and play equation game. Thanks for posting!
@sofiac.6802
7 жыл бұрын
I have an exam in 2 days and I'm playing this in normal speed haha omg
@indritduka2951
6 жыл бұрын
this is me now lol
@lethukuthulathelibra7141
5 жыл бұрын
A student sneezes at 18:24 the prof says " Bless you"👌👌🙌
@zeyism3981
5 жыл бұрын
God bless you Prof, you are helping me so much, I am so grateful.
@pasdechat3146
7 жыл бұрын
I really like your teaching style! Are you planning to make some videos about differential equations or linear algebra? Thanks for posting these videos about calculus.
@saberjan9238
3 жыл бұрын
Good job sir , I like your style... Your teaching motivates me to study calculus
@mary56789
8 ай бұрын
Everyone is sneezing constantly …but teacher is never 😷 …Those gym hours…😊
@rodba1393
2 жыл бұрын
CAN'T THANK YOU ENOUGH. YOU ARE THE BEST!!
@ABCD-uu4kt
4 жыл бұрын
How can limit exist at end point b? Because there is no right hand limit? Earlier you told for limit to exist, both lhl and rhl should exist and be equal. Can't there be a jump from b after b, even though b is included?
@luna-np9xz
5 ай бұрын
ur the only reason for my love in maths
@JohnQuansah-gw7ti
Жыл бұрын
This lecture is fantastic. I really like your sketches.
@hassanrevel
3 жыл бұрын
Thanks leonard you are the best I wish you best of luck. It would be awesome if you had provided some problems for us to solve
@abuhashimr.a6602
9 жыл бұрын
you are super amazing prof.
@mahrukhahemad8878
8 жыл бұрын
omg i understand everything :O
@ebotrav
8 жыл бұрын
Great...you're are just all I need in mathematics and statistics
@mucahitisci1741
7 жыл бұрын
Hi, if F is cont. on its domain; F^-1 should be cont. wtih respective F's domaion right? So, G(x) = x^2 domain of G(x) (-infinity , infinity) the range of G(x)=[0, infinity) So, G^-1(x) = square root of x. then the domain of G^-1(x) is must be (0, infinity). So, the domain of the G^-1(x) is equal to range of G(x). is this right or did i got something wrong?
@Mynhassty
4 жыл бұрын
1:02:25 - You're assuming that g(x) is also continuous in L? I didn't understand that part.
@malkaagotama6889
10 жыл бұрын
Thank you Prof. L. How can I find lecture 1.3? Thank you very much for keep posting your awesome lecture videos.
@CallumF12
10 жыл бұрын
I was wondering the exact same thing.
@Marius-vw9hp
5 жыл бұрын
Good stuff! :) My math book doesnt even mention some of this.
@madalixful
3 жыл бұрын
Best math class that I ever have omg
@LostArkLover
4 жыл бұрын
The student of prof Leonard are so frikin lucky!!!
@CNNRNNTransformer
8 жыл бұрын
Came here expecting to be bore but he is cute and seems pretty good so I'll stay for a bit
@gleon1602
5 жыл бұрын
Where is 1.3?
@rocks7456
3 жыл бұрын
Amazing, as always. Thank you so much, Professor!
@idirtyhands8957
3 жыл бұрын
the sneezing guy always gets me lmao
@mogli3leo
5 жыл бұрын
@58:30 - Most Students at my Class when the Professor asks something
@austinsinclair2917
7 жыл бұрын
Fantastic instruction.Hopefully he lectures for cal 2 and 3.
@willkenner7793
3 жыл бұрын
My guy you r jacked. Your gains are distracting me from this work lmao
@blessingsmuhongo8091
3 жыл бұрын
you truly my hero in math
@szeloklau7380
3 жыл бұрын
if you don't understand limits and continuity like i did 12 hours ago before my exam (which i just had like 10 mins ago), THIS IS THE VIDEO TO WATCH. put it on 1.75x and you can do it!
@Kadbola
3 жыл бұрын
Man i needed this.... I hope it works, just downloaded. Thank you
@PabloEscobar-ez8zr
8 ай бұрын
36.23 to 39.38 - properties of two continuous functions at a common point. I don't understand why you would even do that in the first place. what does f(c)+g(c) even tell you or the other properties for that matter.
@MrAkrious7
10 жыл бұрын
At 10:00 example 3. Is it that the function dose not have a limit because Infiniti is not a value; it is a term.
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