Great teacher. I learned DE more than 40 years ago in my civil engineering course. Completely forgetting it. Now, he refreshed my mind. Thank you, sir.
@thornil22312 жыл бұрын
We must be same age, I did look back at it for the PE exam... a few years after my master and I had forgotten everything already. Seriously it is not the kinds of things you can do casually. You do it 8 hours a day or you don't. That's my view. If I need any engineering formula, I get a book and it's right there. I like watching videos about it... it's almost like watching some professional athletes. You know what they are doing... you also know you can't do it.
@sustainably5 жыл бұрын
I searched and clicked numerous tutorial videos, to understand in greater depth (not just how to calculate but something I can relate to the real world scenarios). Those tutorial videos only talked about why it is done or gave some examples. This great man was in the different level. Never seen the level of teaching of this highest quality. He used different colours during explaining, highlighted the terminology, at each stages he gave the real world scenario examples and didn’t rush to finish the calculations. Lucky those students, who actually got to get knowledge from this best teacher. I am so impressed that, I instantaneously liked and subscribed. Thank you, Sir 👍🏽
@CosmicBarrilet4 жыл бұрын
and i was looking for this tipe of comments...just to save the research...thanks...!
@jaytolbert75382 жыл бұрын
Between you, Nick Zentner (Geologist, Nick on the Rocks, etc.) and Brian Greene (Physicist, World Science Festival, etc.), I am immersed in a world of learning that, as many others have said, I wish I had known in my high school and college years.
@MathAndScience2 жыл бұрын
This makes me happy! Good luck to you in your studies!
@jessicagreene80832 жыл бұрын
As a person with a masters in math, I am going back and relearning these courses. I was more of a learn for this test and forget about it type of person. Now I know the power of application so that I won’t forget. I love the way you break things down and give examples of how to apply the techniques that you are teaching.
@i.b.deplorable2 жыл бұрын
Jason, THANK YOU! This was excellent and a lot of fun. I am 73 and I recall learning differential equations back in 1967 or '68. I recall that, after I got my head wrapped around them, that the were VERY handy and kind of cool. When I got my BSME I moved into fields involving metallurgy, strength of materials and manufacturing - not a lot of use for Diff. Equ. I forgot most if it, but I kept noticing that everywhere I turned I would see physical phenomenon that would remind me, "Hey, that's a differential equation." Last week, I was filling the sump in my planter box with water from a hose, using a funnel. As I regulated the water flow from the hose so as to not over fill the funnel, it occurred to me that the water flow out the bottom of the funnel was a differential equation involving the depth of the water in the funnel. If someone had asked me to write the differential equation for that and then solve it for D=Depth, I knew that I had forgotten how.. Then I found your video. I enjoyed it so much. Thank you. Differential Equations. - the way you explained them - are actually as easy as I had remembered. Thanks. :-) >Like>Subscribe>Notify>All done
@Number6_2 жыл бұрын
After struggling with 3 semesters of calculus I scored a 100 on my diff eq. I found it surprisingly understandable.
@devondevon4366Ай бұрын
Doing well in Calculus 2 (and mastering integration) is the only prerequisite for doing well in differential equations, well at least ordinary differential equations You have to know how to integrate to do well in differential equations.
@mrlucmorin Жыл бұрын
Thanks for your videos. I appreciate the pace and the conciseness. You’re not wasting our time with useless details, and at the same time, you’re not over emphasizing the important ones, which in many cases comes across as condescending. I’d say you strike a pretty darn good balance here. Two thumbs up sir!
@rockpadstudios Жыл бұрын
I bought a differential equations book and I'm going to watch these vid's
@Max473402 жыл бұрын
Sir you are a great teacher! You have found your life’s calling. God wanted you to teach the world mathematics. Thank you for doing a fantastic job!
@nm19783 жыл бұрын
My God, you are the best greatest teacher on earth, I don't know if there is or not anyone else that I know that teaches so clearly in detail, you should be an example to the entire world's education systems this is how everything should be taught , instead of long boring lectures, or reading books that are so hard just to understand what they are trying to tell you, because the way books are written is very official language which I abhor, a simple concept that can take one minute to understand takes hours, because the way these evil books are written , the concepts of science, math and everything else are not hard to learn and are actually fun to learn, if it wasn't for these official languages that are used in all books, I am so sick and tired of them. This is how everything should be taught in all schools. Simple, fun and clear. They should learn from you, you are the best and made a big difference in my life, truly American teachers are the best too at teaching. But offcourse your ways of teaching makes it the 👌 best.
@muhittinselcukgoksu13272 жыл бұрын
John W., thank you so much. Also me " As a retired civil engineer with Ph.D in CE. ", this splendid instructor is every time useful for who wants the deep of the math...Thank you sir...
@daning94562 жыл бұрын
Very well explained. Same for me, wish I had someone like this instructor. I am a retired aerospace engineer with a PhD in the UK. I would just add that maybe most instructors do not understand the basics, also have little communication power. Must say I find teachers in the US far more easy to understand as they explain things very thoroughly.
@tonyr.51113 жыл бұрын
Thank you sir. After several years absence from Aeronautical Engineering math, I'm experiencing a rebirth of my previously much loved math. You, and your excellent teaching, are making my re-entry into the subject, immensely much more pleasant than I had expected... 👍👏👍
@zahid19092 жыл бұрын
It is amazing to see so many old engineers are here retaking this video-course of differential equation just out of curiosity; because they didn’t have the best teacher at the best time of their life. Regrettably, I'm one of them. It is the technology that enabled us to locate the best subject teacher on earth. I wish I could start everything all over again! Alas, I may not have enough time left. However, I thank you, sir, for this excellent introduction.
@mostafa123943 жыл бұрын
Big respect to this man, he really helped me understanding math so easy. Just think about how many lost students he guided. Thank you so much
@benjaminriter96397 жыл бұрын
He makes everything so clear. I am learning so more quickly.
@Yatukih_0014 жыл бұрын
The best part is, he is not plain rude to people who are beginning to become interested in the topics he discusses. Greetings from Iceland and happy summer Rebekah!
@MathAndScience4 жыл бұрын
@@Yatukih_001 Oh wow thank you!
@ramatudumbuya76184 жыл бұрын
Yes
@razalasreficul69024 жыл бұрын
@@Yatukih_001 greetings from Denmark!
@razalasreficul69024 жыл бұрын
@@Yatukih_001 kveðja frá Danmörk!
@thomahammer95812 жыл бұрын
It has been 55 years since I took DiffEQ. This was a great presentation. I really struggled with Partial Differential Equations. i loved the tie in with physics. It makes us understand real world uses for the mathematics.
@roswelcodiep.bernardo7288 Жыл бұрын
Partial Differential Equations is really much harder than Ordinary Differential Equations. When you study PDE it means you are now dealing with three or higher dimensional world.
@angeljohn40192 жыл бұрын
Jaison, your teaching skills are one of the greatest. How i wish i had teachers like this, who would make students love the subjects, rather than hating them. Starting to getting in love with maths once again. ThankU
@indurathnayake45064 жыл бұрын
I’m so happy that I found you , best teacher for maths topics ..haven’t watched other subjects yet .. thank you
@antonkorolev80596 жыл бұрын
Great!! I’m so happy I’ve found this!! Amazing job. I guess it’s up to a teacher to make material interesting and easy to understand. Thank you
@vkalle Жыл бұрын
Best comment on an incredible lecture to make differential equations plain and simple. It is the teacher that makes this interesting. Thank you
@TheSujitKDas2 жыл бұрын
Learned DE 50 years ago doing a degree in mechanical engineering. Excellent teacher.
@juliusnewman20942 жыл бұрын
I'll be taking this class in about 2 years. It gives me comfort watching these videos in my free time, so I know how all of my classes fit together.
@sliderulelover2 жыл бұрын
This guy is a GREAT teacher! He makes clear what other teachers make difficult. Bravo!
@EfeAikpokhio2 жыл бұрын
fr he made the video so interesting I'm so fascinated by everything
@sdsukareem4378 Жыл бұрын
First I would like to thank you for your work... I used to be a student in US during the late seventies and early eighties.. Now I'm living in my country in north Africa...Algeria...every day, I go through one or two courses...and it takes me a long time ago...it is a pleasure really... My very best regards, Kareem . .
@mitchblack77302 жыл бұрын
This becomes really interesting when you are able to conceptualize on a physical level what the equation(s) is defining.
@MathAndScience2 жыл бұрын
Awesome!
@markarmstrong58484 ай бұрын
I'm re doing all of these areas of Maths as I'm doing a Mechanical engineering course and this really helps so thank you Sir .
@TenMinuteDrumSolo2 жыл бұрын
In architecture school in the 70's I had a course called, "Calculus and Analytical Geometry" and another called, simply, "Differential Equations. The textbooks we used were written by the professor who taught the classes. When I've moved house over the years I always took a moment to look at my notebooks from those classes and I'm always surprised at how completely I've forgotten the experience. I aced the courses at the time but now my notes look like they were written by some alien traveler from a distant galaxy.
@Gamechangerr6674 ай бұрын
Lol
@mmka54346 жыл бұрын
I love you, your great knowledge and clear teaching! You are outstanding!
@markTheWoodlands4 жыл бұрын
If I were teaching a class on APEX communication, I would use this as an example. Truly brilliant treatment of a complex subject.
@MathAndScience4 жыл бұрын
Thank you so much!
@HenryLuzzi3 жыл бұрын
@@MathAndScience Thank you for your wonderful instruction, have you published any books?
@josetakapele4 жыл бұрын
I've been out of school for a few years. I'm going back for a Master's in engineering. I'm not an engineer and am a bit nervous about this class. I'm so glad I found this video. He explains things so well.
@EEAMD-co6nw3 жыл бұрын
well du-uh, of course you're not an engineer before you've taken your degree. lol
@devondevon43662 жыл бұрын
@@EEAMD-co6nw 'lol'?E.E AMD could have been an engineer with a BS. And there is Master in Engineering for non-Engineers. Boston University, for example, has a LEAP (Late-Entry Accelerated Program for students with non-engineering backgrounds, fine arts, liberal arts, education, English, music. And even if this was not a possibility, so what.
@EEAMD-co6nw2 жыл бұрын
@@devondevon4366 relax, didnt mean to give you an aneurysm.
@devondevon43662 жыл бұрын
@@EEAMD-co6nw If an aneurysm can be triggered so easily, then you should be careful in making a big deal out of someone saying, ' I am not an engineer'. 'I am going back for a Master's Engineering'.
@EEAMD-co6nw2 жыл бұрын
@@devondevon4366 took you a while to respond. And this is what you give me? Devon .. Devon..
@stromboli1835 жыл бұрын
Great video. Very clear, very informative, and very well explained. Thank you for creating this valuable content, sir!
@tiggerthecat1 Жыл бұрын
This is the main problem I have with integral calculus. In and of itself it isn’t too challenging, but the amount of information and ‘tricks’ one needs to retain is so -especially if one must quickly move onto other topics- overwhelming!
@thaianle46233 жыл бұрын
Jason's videos are always my last stop whenever I look for any video explaining a concept
@jamespaul46182 жыл бұрын
So grateful that you created and shared this video. I studied calculus 45 years ago. I memorised my way through the course. Never really understood the processes that were required to solve these problems. The lights have been turned on. Thank you.
@MathAndScience2 жыл бұрын
You are very welcome!
@imanhaji71663 жыл бұрын
I have to admit this is the best explanation of diffrential equation(winds from coast of Somalia)
@lyricass78104 ай бұрын
Best channel and best person for best things in worlds ❤, best intuitive explanations of maths topics❤
@shaboog26442 жыл бұрын
I wish there is a way to actually thank this man, he has no idea how much of an asset he is.
@iguanaamphibioustruck73522 жыл бұрын
I took a course in Differential Equations in 1963 and a course in Theory of Equations before graduating with an engineering degree in 1964 from Cal Poly. I have worked in solving engineering problems for over 50 years and have never found a need. Iguana
@paradoxdea2 жыл бұрын
The beauty of this instructional video is...no annoying music!!
@ivanurbina24222 жыл бұрын
Wow! You explain it beautifully from another angle that finally made sense now. Thank you.
@simonhunter8342 жыл бұрын
As a 16yr old I did well in my mathematics exams. The following year I failed my maths exam, as set by the Scottish educational system - differential equations! Sends shivers through me just hearing the term.
@jitubrahmbhatt6315 Жыл бұрын
I am learning Calculus- refreshing after 60 years, and enjoying. You are a great Teacher.
@brendankane1879 Жыл бұрын
I no know those basics but this makes knowing them a must - I subscribe
@sifisocmyeni17422 жыл бұрын
Univ taught me how to solve them, but not how these equations arise nor what real-world story they could be representing. I always wanted to know the possible implication of what I was solving - i.e. what problem it communicates. Well done
@pbsalyid53235 жыл бұрын
U master the topic!! it did really helped me for my exam preparation.!!
@thesoundsmith2 жыл бұрын
A differential equation occurs when one side of an equation is computing faster than the other, like when a factor starts to grow exponentially while the other side only grows linearly. The differential is necessary to keep the equals from breaking. First computed by Henry Ford in December of 1913 with the introduction of the modeled "T," it allows "X' to be equal to both 1 and -1...
@aleksandarlakovic40852 жыл бұрын
Hvala vam što ste me podsjetili na dane kada sam ovo učio na fakultetu. Odlično objašnjeno.
@TC-hh8dc Жыл бұрын
Thanks for the refresher. Makes so much sense when I come back many years later.
@hossambadawia9082 жыл бұрын
Great teacher with no doubt, am learning the logic behind the differential equation in this lecture. very interesting and simple approach for beginners. love it.
@souravmaji13602 жыл бұрын
thanks for linking the math to reality with proper explanation👏
@jackbidnik96423 жыл бұрын
Superbly presented. For me it's been forty years since I've had anything to do with Laplace Transforms, but following these lectures it all comes back to me, almost. I have nothing to apply these equations to now, but I'm kind of wondering about substituting Laplace for Fourier transforms in the Heisenberg principle, just to see if initial conditions may be cogently included. Well whatever... There is one thing that comes back to me about Laplace Transforms from my circuit work, but I never had an opportunity to work more on it. I don't remember the specific context, but somehow I recall being fascinated by the fact that somehow multiplying by sine is the equivalent of differentiating. Does this ring a bell with anybody?
@l.s.7544 жыл бұрын
This man is the money in the bank. People like he should be teaching the way he does. Most ivy league college professors, show how smart they are, rather than, educate. I watch MIT Princeton & Yale, professors, I am confused beyond reality. This Man should be teaching on a major level.
@MathAndScience4 жыл бұрын
Thanks so much!
@judesalles2 жыл бұрын
Fabulous explanation. Wish I had had an instructor this good in college.
@FPVSLO Жыл бұрын
He is good teacher. As this example is very clear and no missing explanations. I forgot about diff eq a lot, but now I remembered.
@nadeemleon41975 жыл бұрын
Sir where is your calculus course I never thought I could get my head around this mother of maths topic
@dijonstreak2 жыл бұрын
awesome..i can't thank YOU enough. for a very enlightiening , clarification of , for me a very difficult subject matter...very grateful for your clarification. THANK YOU. !!
@energyexecs Жыл бұрын
...Great practical video and teaching style. The style of teachers are so important. My high school match was not gentle and very strict and I almost flunked. My college teacher (Dr. Wu) was gentle and patient and I earned an "A" in Calculus. You Tube somehow allowed liberation from traditional school. I am like Abraham Lincoln and self taught albeit I did go on to get a BA in Science and the MBA.
@MathAndScience Жыл бұрын
This is the intro lesson in the differential equations course. Everything you are discussing is covered in later lessons.
@toby99992 жыл бұрын
This explanation is way better than I had as an undergraduate but still close to impossible to understand. This and partial derivatives are tough.
@daved34942 жыл бұрын
That was excellent. I did this stuff years ago and have decided to go over it again. I don't recall it being so well explained. Thank you.
@kkartha4 жыл бұрын
The best teacher for the Subject! Thanks for the upload of the lessons..
@zuhairalsaffar70014 жыл бұрын
SIR you did your best thank you for your kindness like your way of teaching thanks a lot
@johnjordan47262 жыл бұрын
Wish that I had found this years ago. Bravo!
@NoajmIsMyName5 жыл бұрын
You explain things from the root... and make harder things easy.
@fabiocaetanofigueiredo13532 жыл бұрын
You are a SPECTACULAR teacher. Thank you so much 🙏.
@MathAndScience2 жыл бұрын
Really appreciate it!
@kervininopiquez1042 жыл бұрын
This should be the kind of teaching standards that schools/universities have in hiring a teacher. Not just by having masters or PhD.
@MathAndScience2 жыл бұрын
Thank you so much!
@wodeyaeric53512 жыл бұрын
U can teach this thing,my bro. U make math look simpler than it is.
@annabellemacinas54922 жыл бұрын
I'm very amazed . Good way of teaching..
@eve-smallie-14369 ай бұрын
am lucky have found this at my young age,,,,you've helped me thumbs up sir all the way from Kenya
@mossed14492 жыл бұрын
Bravo. I paused the video and solved ahead to see if I've stil got it. Glad to say it's still locked in. You're a very good and patient teacher. I wish you had taken my calculus back then. And, this here is why laptops plus fast internet access is the best developmental impact investment for children in less privileged localities (so long as spongebobsquarepants is banned on them!).
@devondevon43662 жыл бұрын
7:08 I have not seen a physics book for decades, but I am guessing F=ma is a differential equation because the derivative of velocity is acceleration. So, acceleration is the derivative.
@simplistichometutor44072 жыл бұрын
I love this. The lesson is a wonderful one.
@abrahamebyfugui3262 жыл бұрын
This guy is a definition of teaching. Whereas some of my professors are definition of work-done.
@MathAndScience2 жыл бұрын
Thank you!
@dkg46572 жыл бұрын
I just saw your latest video and I came across this old video. I have noticed how you made changes around your hair 😊. Aside from that you are the best teacher and have substantial knowledge on the topics that are given. Thanks a lot for all your effort.
@lycanclawz918 Жыл бұрын
Never gets unclear throughout his explanation, wonderful and motivating to watch his videos👌❤
@yamiletheisele5006 жыл бұрын
You are awesome! Thank you so much!
@florentinosanchez3969 Жыл бұрын
Best teacher ever
@dipchakraborty715 жыл бұрын
best math and circuit tutor
@daniloromero59759 ай бұрын
Thank you Sir for your very clear explanation.
@brochestedbs2 жыл бұрын
Nice ! You have re-sparked my interest in DEs. I'm off to start reading up about them.
@franciswanja8795 Жыл бұрын
You are such a good instructor! Thank you!
@roberthornbeck38312 жыл бұрын
Wow what a great opportunity for high school and college students; I started with AA/AS in Electronics and we did Calculus for electronics which is only a piece of all this, I then got a BS, and then an MS I was working full time for all, and if I had this guy and youtube it would have been 10^3 easier :) EX: my first two years were with a Slide Rule then HP came out with the HP35 and 45 which were modeled after Slide Rules. 1970 after Marine Corp and VN I entered college. Today this would be sooooo much better please KIDs Adults JUMP IN the water is fine. semper fi
@ryanfrizzell7362 жыл бұрын
I usually like to hear more about differential equations. Keep it coming please.
@MuhammadAshfaq-xo6rf11 ай бұрын
To the point videos, avoiding time waisting.
@rogermorata928 Жыл бұрын
Your explanation is crazy following
@dorothymarfleet35 Жыл бұрын
Jason is not only brilliant in what he teaches but he also knows how to teach. I left school, (English Grammar School in 1960), yes I am ancient but always loved mathematics. Jason writes legibly, speaks well, writes on a white background with deep colors, does not make #4 look like "Y", . He reminds me of my teachers at the Grammar School in England back then. They too knew how to teach. My first cousin attended same school, went on to Cambridge University where he graduated as Physicist. Thank you Jason, you make my retirement more interesting.
@MathAndScience Жыл бұрын
Just wanted to say I really appreciate your comment. Thank you!
@EarlJohn612 жыл бұрын
Fun with units: a = [m/s^2] F = [N] m = [kg] F=ma ... N = kg.m/s^2 *SO* ,,, Newtons is/are a derived unit ... also correct, but less easy to say, would be to call the unit "Kilogram-meters per second squared" BUT for the purposes of the Maths: *ALL* we are interested in is the number. The units are only important in Physics, Engineering or the real world. Just never forget if you have a unit of some sort (kg? m? s?) it *MUST* remain throughout the problem... I've seen test results marked as incorrect because the answer was given as "25" the correct answer was "25 m/s"
@kanyamagaraabdallah83002 жыл бұрын
thank you sir I have taken my time to follow your lesson up to the end, Real you are a real master I do courage go ahead and teach us, merci beaucoup
@jasonwiley798 Жыл бұрын
Isn't initial velocity simply the second term of the final equation c-one. Why do we need to use the first derivative to determine velocity?
@jacobthomas2747 жыл бұрын
Well done. Very clear presentation. Seemed to be very tuff subject made so simple .
@xyz20071235 жыл бұрын
You are great at what you do. Thank you for the videos.
@itumelenggonane58886 жыл бұрын
thank you very much now I know how differential equation works, looking forward for integration
@robertprice35964 жыл бұрын
A SIMPLE STRAIGHT FORWARD APPROACH TO DIFFERENTIAL EQUATIONS
@pjb97072 жыл бұрын
Fully agree with all comments no utube not much of anything
@petznassloukas71243 ай бұрын
We will have Differential Equations on our next term, thanks! 61224
@nelsonwambeo60052 жыл бұрын
Watching you from Kenya
@Bulele Жыл бұрын
what are the step to follow in understanding diferential equation or the Basic way to understand
@michaelnoronha73864 жыл бұрын
Thank you from my heart. God bless you.
@chandrashekharkulkarni77703 жыл бұрын
Sir, your explanations are excelent & easy to understand & since the important points of it you very tactfully reapeat it fixes in our mind for ever. really really excelent. thank you very much. the only issue with your video is they have very low volume. hence I request you to kindly increase the volume of your all videos.
@mnazirifestonmussa Жыл бұрын
I regret to know you this late, but hope I will benefit alot
@pawelkowalczyk770 Жыл бұрын
It would be fantastic to revise how to transform functions into McLaren or Taylor series
@cascounty Жыл бұрын
Looking for some help... Can anyone explain the answer to this question. "The local zoning ordinance requires that any property with impervious coverage that discharges more than 100,000 gallons of water in a 4-inch rainstorm must have a retention pond to handle the water. The proposed subject property will have 260,000 sf. of impervious surface. A cubic foot of water contains 7.48 gallons and retention ponds can hold no more that 500,000 gallons for safety reasons. There is no retention pond an the plan. What will this property discharge in a 4-inch rainstorm. Trying to use an HP C12 calculator... thank you.