Dr. Bazett, thank you for answering the question on what a Differential Equation is. The overall introduction is excellent for all students/nonstudents to understand.
This is a good example of why I couldn't wait to complete my calculus and differential equations courses quick enough to start enjoying other math. I somehow always felt that calculus and DE was obsessed with physics, particularly with launching projectiles.
Dr. Bazett, I am a bit sad that I didn't discover your channel soon enough, at the same time so delighted. You are now one of my only 5 heroes in the world. Isaac Newton is one of them.
Thanks a bunch. I was wondering why do we even use differential equations that are so complicated to form, you just answered that in a few words that it's easier to deal with rate of changes than bunch ofgeneral equations! 😁Happy.😁
One important detail that they never tell you when you apply to physics problems- whenever you do an indefinite integral, and you end up with a constant of integration left over the constant of integration will always have the same dimensions as the integral. Once you realize that, it becomes immediately obvious with the physical significance of the constants of integration is, for example, if you integrate an acceleration, you get a velocity, therefore the leftover constant of integration will also have units of velocity. If you add up an integral that gives you work, and you get constant integration left over, the constant will also have the units of work.
Thanks, love the way you explain and simplify complex concepts. Will it be possible for you explain how Bayes theorem is applied in statistics, particularly the derivation of posterior distributions from a prior, in a future video.
Hello sir,had a question.im little bit confused 🤦u said at 07:20 acceleration is the seconde derivative of position function then why did u put y(t), time?! Not like y(d) or something like that, why did we use time?
Something like that. I'm actually going to do a few smaller playlists of about 15 videos each (ie laplace is its own playlist, already made, fourrier gets its own, systems its own, etc) as opposed to one big super playlist
Starting this to sharpen my skills as an engineer. Been out of school far too long and the reality is you don't use the math as much as I would have liked to :(
can you do one explaining frobenius and power series method of solving differential equations?.....I mean I know how to solve them...it is all mechanical with me....with no intuitive understanding of them....since you provide such insight with most concepts...I would love to understand the process of solving differential equations using power series
@@DrTrefor Hehe fair enough. But how about a compromise? You are doing differential equations anyway. I've always wondered about differential geometry 😊
I adore mathematics, but it takes me a long time to properly absorb topics. This man explains everything so effortlessly. Thank you!
There should be millions of views on his videos, math students should definitely watch them
I'd love that!!
Man, love how the way you explain stuff so clearly and easily.😍
Happy to hear that!
endsems in a week..and here we go, watching probably one of the best and most subtle playlist on ODEs -:--the very best in my opinion
Vector Calculus playlist was great. Now it's time to learn DE. Thanks for the amazing content.
Sir, you are really a GIFTED teacher. Thank you so much for your wonderful explanations.
So nice of you!
Dr. Bazett, thank you for answering the question on what a Differential Equation is. The overall introduction is excellent for all students/nonstudents to understand.
Learning Math has become a recreational experience by this channel 👍Thank you.
your calc 3 vids saved me last semester and now your diff eq vids are gonna save me this semester! ty!
nice!!
HOW DID I NOT FIND THIS EARLIER!? YOU SAVED ME FROM MY MIDTERM EXAM.THANK YOU SIR🙏🙏🙏
We are here because of midsem 😂🥹❤
most of the stuff in this channel is way beyond my syllabus... but I dont care, I love the way Dr. Trefor teaches !! :)
haha, you're going to be so happy when you start talking some higher level classes:)
@@DrTrefor for sure sir :)
No idea what most of this means, but it’s still interesting and makes me want to understand.
haha, love the spirit!
This is a good example of why I couldn't wait to complete my calculus and differential equations courses quick enough to start enjoying other math. I somehow always felt that calculus and DE was obsessed with physics, particularly with launching projectiles.
This gentleman is a gifted instructor.
heading into DE next week and I have a feeling i'm going to be spending a good bit of time on your channel. Nicely done!
There is no words to convey my immense gratitude.......I have completed your calculus playlist and starting ode.......
Thankyou very much ❤️ 💕
You are most welcome!
This course of yours on DEs with the free book as a bonus is simply the best. Thank you
#1 best math prof on youtube
This is exactly the topic in which I needed help right now. Now I understand what this is about.
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐..
2021 indeed had a giveaway and this was the gift for me❤️
I love your teaching style sir
I have to say the quality has greatly improved 💯
haha thank you!
I wacthed twice and I took notes.
This is an incredibly brilliant intro to DEs. From someone who teaches DEs.
Great Introduction and quality content as always, keep on doing your noble work...
Appreciate that, I will!
Thank You so much dr for the clear course introduction and the book!! It will benefit me a lot!
You're most welcome!
Dr. Bazett, I am a bit sad that I didn't discover your channel soon enough, at the same time so delighted. You are now one of my only 5 heroes in the world. Isaac Newton is one of them.
ha! I named my son's middle name after isaac newton:)
one of the most important courses!
i agree!!
We’re going to call this y-naught, because why not?
Why naught? Sorry
Not to be weird but I love you. You cleared up so much for me.
An upcoming math major 2nd year student here. It will be helpful for me. Thank you Dr. Bazzet
Nice!
thanks Trefor, you helped me aware how it work just within several minutes!
can't wait to see how this one unfolds!
You deserve big Thank you for your efforts and help in simplifying this material, wish you best luck
Thank you so much!
Finally! One of my favorite topics
haha I figured you were going to be happy about this series:D
Thanks a bunch. I was wondering why do we even use differential equations that are so complicated to form, you just answered that in a few words that it's easier to deal with rate of changes than bunch ofgeneral equations! 😁Happy.😁
ua-cam.com/video/XQIbn27dOjE/v-deo.html .💐
Sir, can yu please explain positive definite matrices and how they relate to the eigen values .
Your content is always wholesome and effective 👍
Life-saving videos for me. Thank you so much, Sir.
Hurrah! I am excited one of my fav topics started...😊
Mine too!
Thank you!! Starting my Differential Equations class in a week, so this is perfect timing! Love your videos, please keep up the incredible work!
Nice!!! Good luck:)
you are saving my GPA thank you
The explanations and their ties to the real world are EXCEPTIONAL. Great video.
Thank you for everything you do Mr. Bazett! Your videos are incredibly helpful
Glad you think so!
Thanks for mentioning the 2 constants when you integrate twice.
very excited for this course
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐..
Fantastic presentation! Thank you for making this available.
Thank you sooooo much , can’t wait for this course.
Hope you enjoy it!
This is way too cool, thanks so much for everything you do!
Glad you enjoy it!
One important detail that they never tell you when you apply to physics problems- whenever you do an indefinite integral, and you end up with a constant of integration left over the constant of integration will always have the same dimensions as the integral. Once you realize that, it becomes immediately obvious with the physical significance of the constants of integration is, for example, if you integrate an acceleration, you get a velocity, therefore the leftover constant of integration will also have units of velocity. If you add up an integral that gives you work, and you get constant integration left over, the constant will also have the units of work.
Please do a series of complex analysis
Finally I actually going to understand ODE ❤
Thank you for this! Book is really, really clear and excellent!
Glad you like it!
Thank you so much. I suggest you introduce a bit about boundary condition later in this playlist too. I am still confusing between them sometimes.
I'll definitely be talking about this:)
I can safely say that I would have been in a lot of trouble if he had not made these videos. Thanks, professor!
So glad they helped!
love it.. very well explained. Thanks prof.
Thanks, love the way you explain and simplify complex concepts. Will it be possible for you explain how Bayes theorem is applied in statistics, particularly the derivation of posterior distributions from a prior, in a future video.
i do want to do some more bayes' theorem videos for sure, got a couple right now but not the more statistical flavour that you mention:)
Currently Studying vibrations and waves. This is going to be to so helpful!
Nice! You will really like the wave equation, which is a partial differential equation we'll get to in a bit.
excellent explanation
ua-cam.com/video/XQIbn27dOjE/v-deo.html .💐
I am not an engineer, I am actually a Biology student and people say bio people don't like maths..... But I love the way he explains
Sir please come up with a series on Numerical methods for ODE & PDE.
Thanks a lot sir 🔥🔥🔥
Ahhhh!! 08:44 !!!
Cr*p got this question in my last exam and left it blank. No worries, I have a second chance. Now I got it. Nice!
Amazing lecture sir 🙂💙👍
was expecting a 'why not' pun XD
Gonna start studying ODE from today.
Wow!! Please upload more. I was having trouble with SHM
I definitely will!
Hello sir,had a question.im little bit confused 🤦u said at 07:20 acceleration is the seconde derivative of position function then why did u put y(t), time?! Not like y(d) or something like that, why did we use time?
Thank you so so much 😊
Please teach singular solutions and why a singular solution is an envelope of family of curves.
Thank you.
ua-cam.com/video/XQIbn27dOjE/v-deo.html .💐
Sir one word to say "Iam very(infinity times) excited for this course ❤️❤️❤️. Now you are there in the video. Remember that comment
Haha I’m excited your excited!
Amazing video as always, this course is gonna be very interesting. I wonder if you will mane videos in real analysis in the future;
That's the plan!
Nice video, idk very well the difference between differential equations and the common calculus stuff but anyhow :)
That helped so much, thank you!
idk why im watching this i barely pased maths at school but its very interesting
which mathematics subjects do i need to know in order to understand and solve differential equations in university?
Uhh, so how many videos can we expect in this playlist on ODE's approximately? Like 30? 40? As always, love the work you are doing.
Something like that. I'm actually going to do a few smaller playlists of about 15 videos each (ie laplace is its own playlist, already made, fourrier gets its own, systems its own, etc) as opposed to one big super playlist
Sir is this playlist enough for jee advanced exam, love your content btw😊
Starting this to sharpen my skills as an engineer. Been out of school far too long and the reality is you don't use the math as much as I would have liked to :(
Excellent intro! Are you going to put your Mathematical Modeling videos?
When are you going to make video on partial differential equations ?
appreciated, God bless you.
BTW, I'm not an engineer or a physicist. It's great when you use examples in finance or other more familiar areas, it makes understanding far easier.
Great! How often do you expect to add new videos to this playlist?
Probably 2-3 per week
LEGENDARY!!!
Thank you!!!
Thankyou!🎉
I can't wait😳😍
I'm new to this channel,what is the frequency of videos per week?
Aiming for 2-3 per week
Sir plz make videos on real analysis
I mean to!
🙏🙏 Thanks sir
Where were you Dr. Bazett, when I was getting an engineering degree?
can you do one explaining frobenius and power series method of solving differential equations?.....I mean I know how to solve them...it is all mechanical with me....with no intuitive understanding of them....since you provide such insight with most concepts...I would love to understand the process of solving differential equations using power series
How much Calculus does it tak for prerequisite? III is enough?
Basic integration skills is all:)
Thanks!
Thank you
Sir please make video on De Moivre's theorem, (Coax + Sinx)^p/q
should there be a +C if we integrate it
What's a few good books for Diff EQ?
Check out the link in the description, I have my own open source one!
Do u have problems for us to solve as we watch the videos?
Can I download the textbook offline
Still waiting for the different kinds of geometry video 😋
haha it is on my list! BUUUUUUUUUUUT my list is long:D And a pandemic happened:D
@@DrTrefor Hehe fair enough. But how about a compromise? You are doing differential equations anyway. I've always wondered about differential geometry 😊
can a differential eq. have more than one solution??
Absolutely!
Nice,Is there any explanation about solid angle in channel
not yet:)