These are without a doubt the best Calculus videos on the internet, paid or unpaid.
@lilbrownie33448 жыл бұрын
Paid with ads thru monetization, donations and college facility.
@noddlexxx91615 жыл бұрын
The organic chemistry tutor is better
@noddlexxx91614 жыл бұрын
Google Account I can’t believe u have an acc name google account 😂😂
@danialvalentin58454 жыл бұрын
Do you know if he does lessons on Arc Lengths, Area of a Surface of Revolution, and Hooke's Law?
@namrin90063 жыл бұрын
@@noddlexxx9161 On the contrary, these lectures are more in-depth and comprehensive. I use organic chemistry for introductions to the topic or review, when it comes to the nitty gritty, this is the best.
@Wura_ola8 ай бұрын
It's 2024 and your videos are still saving me. You are a lifesaver. Thank you!
@darthboganis13564 жыл бұрын
What is a differential equation? 1:00 Example of a 1st ODE 3:00 Functions in terms of x and y 5:00 Example 8:00 More on the differential Equation 14:30 The initial condition 17:00 Example 20:00 The initial value at zero gives the constant C 23:00 Separable differential equation 26:00 What is Separable and what isn't? 30:00 Example 35:00 Example 40:00 Example 56:00 A separable equation. A product (i.e. multiplication) of x and y >> separate them 1:01:30 Writing the C constant Initial value problem 1:09:00 1:13:00 U-Sub won't work, because the squared term isn't in denominator. Can you split the fractions? 1:15:00 using different subscripts for constants like c1 and c2 is really just making your life easier. > It works because they're essentially still constant. There are no unknown variables involved. The initial value gives a specific solution because it allows us to find the constant C, and the general solution is just a family of curves anyways Natural Growth and Decay 1:18:30-1:44:00 Example 1:44:00 proportionality, solve for e^k Decay 2:02:00 Law of Cooling 2:18:00 > the differential equation 2:26:30 Solve the differential 2:30:00
@MansoorAuto2k3 жыл бұрын
Some heroes don’t wear capes, thank you sir
@crazeladd3 жыл бұрын
Yo, bless up ❤
@Analys1s Жыл бұрын
Does he not do linear differential equations?
@jarinmirza Жыл бұрын
Believe it or not, this is still very useful in 2023! Thank you, sir.
@1818soccerislife7 жыл бұрын
you teach like you ACTUALLY CARE about the students' learning and that is amazing. Wish there were more profs like you
@alityamusic6 жыл бұрын
You sir... you are a prime example of what a teacher should be. Thank you from the deepest confines of my heart.
@ILikeWeatherGuy9 жыл бұрын
all your lectures are very intuitive. thank you. the difference between the way that you teach and the professors here are like night and day.
@robbiebeenham59807 жыл бұрын
completely agree... here it actually looks like he cares if his students understand and learn... as you could see genuine disappointment that the student didn't do his homework, and it was such a small one at that
@poetadetusnoches8 жыл бұрын
This guy is my nigga. . . you should get an award for best professor/ tutor on youtube. I'm not even in your class and you are still the best professor have ever had by far. I click on your ads when I see them.
@jensmalzer63442 жыл бұрын
please dont use the n word if you're latinx, that word is reserved for black POC only
@Sam-y8fАй бұрын
I was avoiding Prof Leonard's videos before because they're so long but wow, these are very high quality lectures. Highly recommended! Thanks Professor Leonard!!
@thetrueslav99586 жыл бұрын
you are the type of teacher that every student would want, you go over the ideas, you ask for a show of hands to see how your students understand the certain topic, you are just like my Maths teacher, SUPERB! and thanks to you my weakness in D.E has become a strength
@noralyounes2148 жыл бұрын
Just bring Mr Leonard to the next avengers movie " the infinity war", and he will differentiate the evil to ZERO.
@ellifontanilla15207 жыл бұрын
Nor Jones this comment is dope.
@ricardoo68247 жыл бұрын
Elli Fontanilla lmfao he's gonna bring Thanos to zero, by proving his power is convergent through the nth term test 😂😂
@Mewluver1016 жыл бұрын
Best comment by a landslide! 😂
@Shadowfax24096 жыл бұрын
Professor Leonard is the real MVP of calculus. He makes everything make so much sense.
@paerful10 жыл бұрын
You explain it and make It really easy, I can't bear to go to class but I would just pay in my bed and watch your videos and easily pass my course. Plus you gotta hand out some workout routines sir.
@wilsanxubuzani33229 жыл бұрын
my favourate lecturer...u make it simpler than the person I'm paying directly
@Techytecherson11 ай бұрын
I hope you see this comment. When fearing my calculus exams and not knowing where to start, your videos saved the day. Not only did I pass the classes, but I understood the "why" in math. Thank you and hope we see more videos soon. Best wishes to you and your family.
@grahbuckfan66 жыл бұрын
I just got done with a summer semester of calc 1 with the hardest professor at my school and got an A thanks to you. Needless to say i'm back for calc 2.
@johnholme7837 жыл бұрын
Brilliant lecturer! crystal clear and very thorough. I wish I had a lecturer like this when was studying maths at college.
@Gabagool226 жыл бұрын
The best professor we don't deserve.
@georgesadler7830 Жыл бұрын
Professor Leonard, thank you for an exceptional video/lecture on Solving First Order Differential Equations by Separation of Variables, Population Growth and Decay, Half Life and Newton Law of Cooling. I am familiar with these topics from Introductory Differential Equations and Applied Mathematics. A solid understanding of Techniques of Integration is needed to solve problems in Ordinary Differential Equations. This is an error free video on KZbin.
@joeeoj277 жыл бұрын
A video in a calculus 2 series taught me more about diffEqs than a week in a diffEq class.
@mohammedsaeed72418 жыл бұрын
the best professor in the world
@PLP03217 жыл бұрын
"You're the teacher. You tell me." I am sure you will make it far in your career with that attitude, young lady. Great lectures by the way, Professor Leonard.
@sushio4357 Жыл бұрын
If you watched the lectures she is actually pretty smart and proactive when he ask questions, I am sure she just wanted to be funny but came out pretty offensive lol.
@peterkonata33949 жыл бұрын
I enjoyed your teaching approach. Very easy to understand the concepts fully.
@uhrrtax8 жыл бұрын
OMG you have just saved my life. Studying for and engi. degree and my proff is so hopeless it is unbelivable and the thing is if i dont get it i fail not only this but also another 15 engi. subjects as everything prety much is based on differential equations. And altho english is not my main and i never had any math not ralculus en english i have no problems any more. BIG BIG thank you. (now i feel sorry for my group as 90% are probably going to fail big time)
@GHOSTRIDER4EVER3 жыл бұрын
My mind is always blown by his explanations. Wow!
@ParthPatel4037 жыл бұрын
Great lectures! The way he doesn't skip trivial steps makes it possible of even an highschooler to learn calc 2
@patrickkwong46517 жыл бұрын
He does the one thing every math teacher fails to do. Explain EVERY step. Taking this course in the summer is a fucking pain.
@Keepcalmliveon5 Жыл бұрын
56:24 "you're the teacher you tell me" yikes! You even handle conflict smoothly and with grace!
@tylersteffensen9268Ай бұрын
That lady has been insufferable this whole calc 2 series, so annoying!
@nicholasfarrington62219 жыл бұрын
Thanks for doing these dude. I can't imagine where I'd be without these. My calc class has 40 people and it's impossible to learn.
@amiraitkulov95323 жыл бұрын
Thanks Mr. Leonard for such great explanations
@Bee-uy2cn6 жыл бұрын
Thanks man. This has been so helpful. I go to my lectures and then come home and watch your lectures and it realy sticks in my brain. Your a little bit more thorough than my professor so this really helps.
@mastovlox7 жыл бұрын
Start of second lecture 26:13.
@josuaalbertsson26653 жыл бұрын
professor swole always has the best jokes and im here for it
@vaugnalmeida75137 жыл бұрын
One of the best tutorial videos i ever watch.
@nathandyson34626 жыл бұрын
I'm probably the only one, but this is the only instance of Prof. Leonard's classes where I understand the procedures, but not the full underlying concept.
@gentlemandude15 жыл бұрын
1:01:46 Students are showing some attitude. They don't know how good they have it. Most of us don't have Calculus profs who will repeat an explanation multiple times until everyone understands, let alone take notice of the fact that some students are struggling to grasp a concept.
@erinmusarra28989 жыл бұрын
This guys a beast. Great lectures.
@briscomakhubela87386 жыл бұрын
Best in the world,keep up the good work
@Jewelworld3608 жыл бұрын
Are you going to fully cover differential equations in the future?
@rainbows_rblx21148 жыл бұрын
he'd kind of have to teach a class on it, which is probably out of his control
@shensley0116 жыл бұрын
I realize this was 2 years ago but I'm sure others are wondering. He's going to start putting them out this fall (Sept 2018). if you go to his patreon channel you'll see that he will put them out every MWF starting in September. if you donate a little money, like I do only 10 bucks a month, it supports him in putting them out faster. but the good news is that they are COMING! ! :-) FINALLY. He also has a Facebook page now and I believe he will also be posting them on there. Happy math learning ya'll!
@ILikeWeatherGuy8 жыл бұрын
little helpful blurb: this is the REVERSE of implicit differentiation
@antoniolee73306 жыл бұрын
You should cover all differential equations class. I made it to calculus I, II, and III by watching your videos. Thank you in advance.
@shensley0116 жыл бұрын
he's going to start putting them out this fall. if you go to his patreon channel you'll see that he will put them out every MWF starting in September 2018. if you donate a little money, like I do only 10 bucks a month, it supports him in putting them out faster. but the good news is that they are COMING! ! :-) FinallY!
@grudingOyster8 жыл бұрын
Why the hell students start packing before he is done? If i was his student, I would have waited until he left the class!
@360Tinker7 жыл бұрын
These kids have no idea how lucky they are to have an instructor like this.
@robbiebeenham59807 жыл бұрын
so damn true... I'm literally so unhappy he doesn't teach the rest of this subject on the internet
@Kybeline7 жыл бұрын
lol. I've thought the same. A pity he has so little on complex numbers... complex analysis would be fine.
@Fleurlean47 жыл бұрын
This is an impolite habit that occurs all over college campuses everywhere. There needs to be an etiquette component of your grade so that people don't do this annoying shit.
@trouserpython38577 жыл бұрын
@luigisf. An 'etiquette component of your grade' ????? You have lost the plot champ.
@khushisuri57836 жыл бұрын
wow i literally LOVE you for this vid
@eliassafstrom7572 жыл бұрын
There is always this guy sneezing, at least one time in every lecture XD. Very nice videos, keep up the work!
@amukomaina62857 жыл бұрын
All your videos are always the best.....(from Kenya)
@harmanbans6 жыл бұрын
Fantastic lecture, but when you dropping that workout vid?
@ShivamYadav-ys3bp2 жыл бұрын
Thank you professor 👨🏫 thanks 🌹🌹🌹🌹🙏🙏🙏🙏🙏🙏
@fabbyszn31277 ай бұрын
Crazy to think that the students taking this class back then are in their late 20s or turning 30 soon
@Peter_19864 жыл бұрын
2:47:00 "I am a hot guy." LMFAO, savage. xD
@nuzhatazim81943 жыл бұрын
doin hot guy shit
@kevinz88753 жыл бұрын
i don't know why there are 20 dislikes. probably they are the shill from those paid videos (like the ads in the beginning of every video :)
@imamalam49717 жыл бұрын
Much love Prof Leonard.
@instaminox8 жыл бұрын
I am actually taking ODE and watching this video from cal2 thanks
@sflanagan31397 жыл бұрын
Around 1:20: we're given y = k X T, and then dy/dT = k X y. If y equals a constant (k) times time (T), shouldn't the derivative of y with respect to T be k, rather that k X y? After all, at 1:30:00 we find out that ln abs val y = k X T + C
@mdsajedulislam49517 жыл бұрын
Hey Flanagan, In the equation y=k*T; T is a function of t itself that is T=T(t). For example, T(t)=4t+1 something like that. Now if you take derivative on both sides then it will give you dy/dt = k * y. How? just think of that if you differentiate function T(t), you will get another function of t; denote y=dT/dt=y(T). In a nutshell, just take derivative on both sides with respect to t not "T", then you will get the idea.
@siyandapete17622 жыл бұрын
best teacher ever
@rednax37888 жыл бұрын
"I don't care if it's c1, c2, or c3po"
@FB-tr2kf7 жыл бұрын
LOOL
@tomneijman42129 жыл бұрын
Very well explained professor! Thank you for that. No judgement here, misspelling is human and your teaching is marvellous, but you're reaction after misspelling separable a few times is very funny: just abbreviate it into "sep." (at 34:34)...
@ShivamYadav-ys3bp2 жыл бұрын
Pranam gurudev 🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
@taimooralibukhari6 жыл бұрын
I thought after Calc 1 and Calc 2 no more from this page. But Diff Eq. Also here damn sir
@charlestodd27256 жыл бұрын
I'm taking differential equations during summer 1 right now and I wish you had your DE course uploaded already, you're amazing!
@juanamorim80813 жыл бұрын
thank you so much for the class teacher. really helped me
@abdullahmohammad56137 жыл бұрын
You did really good in explaining how to solve the questions but the concept ok ._.
@trusttrinity7 жыл бұрын
you rock sir it is a thumbs up for you
@aketemamaebeneza32786 жыл бұрын
Please, we need more videos on differential equations. Please ,save us.
@MrYawdennis10 жыл бұрын
you just wonderful pro!
@Operaatoors9 жыл бұрын
Where do you teach? I want to change my University right now! :) Anyway, thanks for this explanations!
@punyamishra36289 жыл бұрын
Sir.. can you please upload lectures on homogenous and linear forms of differential equations!
@jackalopetecumseh91275 жыл бұрын
great videos
@7urbine6 жыл бұрын
Thank you Mr. Swolo
@shep74848 жыл бұрын
Wonderful lecture but at around 30:00 I can't work out the relation dy/dx=g(x)• h(y) or g(x) dx + h(y) dy = 0. after the 'or', I keep getting dy/hy=g(x)dx which seems to lead to g(x)dx - dy/h(y) = 0. it's hard to see the jump from this to what you present. Probably something I am overlooking but either way, thanks for the lecture on differential equations. Jerry E Shepherd
@daswubs23837 жыл бұрын
Do you have more videos on chapter 8?
@gamersbaxe40522 жыл бұрын
You the best
@abayoalainbertin81728 жыл бұрын
well explained
@robertosmiths56686 жыл бұрын
Very helpful, thank you
@jkp-qe4ty8 жыл бұрын
You blew my mind
@wagarimesfin47806 жыл бұрын
thank you interesting video.I wish if you are my professor.
@lusekelolwesya42708 жыл бұрын
this is great
@walrusboy918 жыл бұрын
the guy who constantly yawns in all of these is starting to get to me. One day youtube will automatically mute yawns in lectures.
@Kybeline7 жыл бұрын
That doesn't mean he's not interested. He probaly needs a little more oxygen, that's all. If he'd got hickup or turret you wouldn't consider him unpolite, would you?
@trouserpython38577 жыл бұрын
Wait until you get to the calc 3 playlist and meet kermit the frog.
@FB-tr2kf7 жыл бұрын
Highfield, Calc 3 harder than 2?
@FB-tr2kf7 жыл бұрын
Did you do all the vids or skipped a few? trying to see how long it will take me. Currently in the process of finishing off this vid...
@trouserpython38577 жыл бұрын
@Perafin alkalistaar. At my university calc 3 was considerably harder and also included a lot more content in comparison to calc 2 but calc2 is a first year course and calc 3 is a second year course at my university so that might have something to do with it.
@umikohiromi60157 жыл бұрын
Absolutely brilliant lecture! I have a question. Why can't we just evaluate with initial condition y(0) = 1 and solve for C when we arrived at: y^2/2 - ln [y] = -e^x + C? We got rid of the derivative, so why must we go further? It looks like that would give a different value (e.g. C1 = 3/2) from the one when we go further and multiply both sides by 2 (e.g. C2 = 3). Can anyone please help me understand why is that so, and why is the latter the real solution and not the former, since in both cases y is in its implicit form? What am I doing wrong here?
@nickfeijoo77796 жыл бұрын
THANK YOU PROF L
@amberdigiovanni7 жыл бұрын
Please do a class on differential equations Professor Leonard!
@shensley0116 жыл бұрын
he's going to start putting them out this fall. if you go to his patreon channel you'll see that he will put them out every MWF starting in September 2018. if you donate a little money, like I do only 10 bucks a month, it supports him in putting them out faster. but the good news is that they are COMING! ! :-)
@fisikalectures5977 жыл бұрын
He's probably raising America's educational system by like twice.
@joshuamendez4254 жыл бұрын
Yo the tortilla on the comal comment to figure out how much heat his fingers could withstand got me dead 💀
@williammendez52093 жыл бұрын
what's the time stamp lol
@szsolzel9 жыл бұрын
i think though that |y|=x means that y=x over the range interval of (0,∞), and y=-x over the range interval of (-∞,0), (and ofcourse (0,0) when x=0) so this would only be true, when C is [0,∞) ?
@lonewolf-yy2jh4 жыл бұрын
thaleeeeeeeeee vere levelll
@hafizsahib43516 жыл бұрын
Sir please upload the whole course of differential equation for undergraduates
@nostrasummit57856 жыл бұрын
appropriate that differential equations is lecture lucky #13
@netiamcintosh10 жыл бұрын
This is kind of helpful especially how i just moved to china and my chinese teacher don't care if the students understand. Now i have exams next week and might fail and all my life i failed at maths why is it forced on dumb people like me?!!!!
@grantedwards85469 жыл бұрын
+Twin 2 Thats a great question. No one should have to take any calculus courses if they don't need/want to. If you don't find an appreciation for college level mathematics then switch your major to something that you find more practical.
@Peter_19864 жыл бұрын
Math is one of those subjects where you need to be very comfortable with the previous concepts in order to have an easier time with later concepts. You should definitely make sure that you are very comfortable with arithmetic and algebra, because those courses will _always_ be required for _everything_ that comes afterwards, and you will save yourself from a lot of trouble if you have truly nailed those courses.
@brianling93463 жыл бұрын
love the puns!
@ShreyButle6 жыл бұрын
5:54 I can just imagine Kylo Ren working on Differentials.... LMAO
@juliuskentbalagot47767 жыл бұрын
Thank you
@AliMohammed-ly8lx9 жыл бұрын
Mr, Leonard, i'm wondering if you have any videos about Multivariable calculus or deferential equations. i did not find any things that's belong to you, any way i wish if there 3 or 4 profs like you,
@cortez1212199339 жыл бұрын
Ali Moe I don't think he ever will, if he does he will put every math professor in this country out of business. The gastapo will come and get him. lol
@benzola48089 жыл бұрын
Mauricio Ruiz You're right.
@thomasrad62969 жыл бұрын
Ali Moe he said he will plan on releasing them in 2016, its on his youtube disscussion.
@jessicaw7669 жыл бұрын
+Ali Moe He's supposedly adding them around or after Spring 2016.
@elainfei51636 жыл бұрын
lowkey using this video for my differential equations class... hahahahahaha
@ShytFerBraynes8 жыл бұрын
I might transfer from UCD to merced just to take his math class.
@roberthorcher49378 жыл бұрын
This one had a lot of funny quotes in it. :)
@wolfpatrol3188 жыл бұрын
+Robert Horcher 1:29:35 got me good
@abelgonzalez58707 жыл бұрын
Robert Horcher iii
@ptyxs Жыл бұрын
Toward 32:20 it is "separable" not "seperable" !!
@aceflywings7 жыл бұрын
Hi Professor leo, where can i find the remaining lectures on chapter 8 cus i can't see them. thanks
@lorenzomarquezortiz92397 жыл бұрын
ohh god, i wish we had a math teacher as goood as you professor Leornard. at our school we have nothing but garbage, smug conceited garbage that hates to be there teaching garbage students on the tax payers dime. or so is their atitude
@trouserpython38577 жыл бұрын
Hey P.Len what Myer Briggs personality type do you identify with?
@nilminideen52967 жыл бұрын
Prof Leonard have you got second order differential equations ??