Differential Equations: Lecture 7.1 Definition of the Laplace Transform
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- Опубліковано 5 лют 2025
- This is a real classroom lecture on Differential Equations. I covered section 7.1 which is on the Definition of the Laplace Transform. I hope this video is helpful to someone. These lectures follow the book A First Course in Differential Equations by Dennis Zill. This is a great book for learning differential equations. Here is the book amzn.to/4ajOMyW (affiliate link).
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Thank you:)
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My professor sends us youtube links now for lectures. So thank you for doing everyone else's job.
oh wow how cool!
@@TheMathSorcerer he s not a teacher . he should be fired and have a real teacher replace him
Just watched 45 minutes of this lecture and I'm not even in Diff eq, your teaching style is so great.
Haha awesome
Ahhh. So this is what happens when you max out both Charisma and Intelligence. Thanks for such amazing lectures!!
Ngl i skipped 90%of my diff eq class when i had it and only watched your videos... i passed with a 95% so thank you. Now I'm back reviewing for one of my engineering classes and everything came back immediately so thanks again!
Best explanation of the La place transform, this is so inspiring.
thank you!!!
I love the idea of cursive s! My “s” and “5’s” were driving me crazy!
Thank you for sharing your lectures with us, they are so much fun!
You are so welcome! Haha yeah some people resist the cursive s, they hate it! I've even had some negative youtube comments about it on other videos, but I love it, I love it soooo much!
I recently made some new videos with a regular s, but I had such a hard time lol
@@TheMathSorcerer Yes! Before I saw your videos, I was having such a hard time confusing my ”5’s” with ”s” and vise verse, I tried using another variable for s, but it just made everything so complicated. When I saw you introduce the cursive ”s,” I was like, 🤯🤯 ”that’s genius! Duh!”... Long story short, thank you and if student’s give you a hard time maybe just let them know that it saves tons of headaches from later on mistaking a 5 and and a in future problems or possibly on a test.
Very helpful and informative lecture! i was having a difficult time understanding Laplace transforms till I saw this vid.
The explanation for number 2 just saved me!
This video is incredible. Just incredible. I learned so much.
Gotten a little farther in the video and wanted to say that I really appreciate the energy and the jokes man, you and professor leonard are s tear for best educators I have seen.
"Eleven, how weird...it's like two vertical lines!" - hahaha lost it XD
hahahahaha
I just really want to thank you for the useful content as this has helped too many students outside your class room as well. Thank you Thank you Thank you. I really have a bad teacher and without you I would have sucked!
I have just finished, after taking some definite breaks. Now, time to do some homework. Thank you!
1:02:34 Asides like these are why your lectures are enjoyable. You create a casual environment to learn new material, as opposed to the banal nature of most lectures.
You are a god, thank you
Well done sir
Good shit renee, keep it up and youll be the worlds best scientist
you da goat man! preciate yo hard work!
Thanks man!
That guy is cool, writing down beta correctly, that's alpha primate move
Hehe
what a great teacher. Im so jealous
thx:)
If Jeff Bezos had long lusious hair and was a great math professor......this is what you get. Great video and thank you for the help!
1:31:00 , thank you for being a professor who thinks using technology can be helpful. Just don't abuse it until after you get that degree
Hello!!Can you please upload lectures on Fourier series and Fourier transform?
this video is eplained more details than my teacher's lecture, thanks a lot prof!!!. can you tell me what method that you use for anrivative at question number 7 with L{f(t)}=te^4t.....
Note 18:00, i'm bookmarking this to review later
Hey, thanks for the videos went from getting a C on the first test to an 88 on the next test.
Are you gonna bring back the moving camera? I found that it was easier to stare at the video when there was more movement. Either way much love!
Thank you!
that guy who drew the beta is so cool!
thank you so much for your classes
You are still a survivor. Here in Ireland, all schools and colleges have closed on account of coronavirus.
When you begin to feel a little funny inside, something like a tick, that is precisely the time when you SHOULD start buying vitamin C and D and please take them in advance.
Yeah still alive! No corona here 😄
You are good
Ahhh-na you are doing amazing
Another great video, thank you! Is 7.1 the last section covered in this playlist?
Very funny and nice lesson.
LOL the girl equating a decaying exponential to taking a Xanax has me dying from laughter, but also a bit of sadness.
Hey Im curious about something. At (1:02:12) you say that f(t) = cos(t), if 0
The area at exactly t = pi is 0, as it is has no thickness. This means that the area between 0
Signal Processing is used in Audio Engineering.
What level is this class exactly? Like high school seniors, or college/uni?
College
@@TheMathSorcerer I have an engineering degree but aspire to be a Math teacher in the future. Currently my focus is on teaching high school seniors. How did you end up teaching in college? Is any specific degree required for it?
In the US you usually need at least a masters in math to teach👍
Hey prof, do you have any videos on 5.1?
Is there a section 7.2 or is this the complete course?
i've heard it connected to the power series, converting the x^t with e^ln(x^t) where -s=ln(x). is that a correct interpretation?
Love from Pakistan
Math sourcer if I join and show support can i occasionally email you about math stuff? Im not a student but I still want to learn. I think your videos are great
10:50 "just give it a xanax" lol
that guys cool :)
❤❤❤
thhank you so much
Whenever you say f(x) has to be piece wise continuous isn't that implied by the integral sign since a integral has to have a finite number of discontinuities and is therefore a piece wise continuous function? Oh rafel is so cool, and he did a beta the nice way lol. This is used in survival analysis, since its an analysis that is based around time to event data. Now ill actually understand what i was reading hopefully :P
Last edit lol, kernels are used in data science a lot to represent the transformation (just like this is as well) from one dimention of data to another. IE with SVM you can transform the data into higher dimentions with the kernel! haha funny.
Yes. You cannot get through EE without learning Laplace.
integral of ln(x) is 1/x :))
getting into the meat of my EE degree maths
I'm not even taking dif eq anymore. I just miss the in-person energy or a real lecture instead of zoom.
man that guy is cool
give it a xanax, lmaooo
I wish I'd found your channel before
Okay so we're missing the next part...
WHERE IS IT MISTER MATH SORCERER PLS SEND HELP
the coronavirus came and it was never recorded:/
@@TheMathSorcerer Oh I see.. That's unfortunate. I guess I will need to find other resources to learn the missing 7.2 and so on 😢 Also I love your teaching, so clear in every steps and I know what happen in between, not like my professor that always says, "i am lazy to do this" or just skip every possible steps 🤮.
I have playlists I can link them in a sec let me look👍👍
all of chapter 7 ua-cam.com/play/PLO1y6V1SXjjMx8QVU4WPpsFH4QQC6tWiT.html
mixed problems from chapter 7 ua-cam.com/play/PLO1y6V1SXjjNlLLQ9R-fkYwshOnAiS1hB.html
convolution(also in chapter 7) ua-cam.com/play/PLO1y6V1SXjjO8ZyGvWVm8kVHZ-grqkf-I.html
@@TheMathSorcerer Woah thank you very much! I am going to contribute views for you. :D
"#1, there's a video for it." There are videos for problems in the Zill book?
on webassign, yesss
@@maryumnoor1401 we didn't have webassign... :(
Definetly calling that technique a looper from now on
the beta guy is a legend
Spme say maths are hard for them, but I am hard for maths.
I need proofs
AFTER THIS CORONA HAPPENED LOLLLLLLLLLLLLLLLLLLL
I know crazy lol
RRRRafeal
This is the Kind of shit i like
hey dont make fun of the xanax girl. I been watching you sniff markers all semester lmao
xanax wtf 😂
not looking forward to this. lol