Differential Equations: Lecture 7.1 Definition of the Laplace Transform

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:)

[@nickwhite5771]

My professor sends us youtube links now for lectures. So thank you for doing everyone else's job.

[@TheMathSorcerer]

oh wow how cool!

[@Freedomind901]

@@TheMathSorcerer he s not a teacher . he should be fired and have a real teacher replace him

[@TheEpicGod111]

Just watched 45 minutes of this lecture and I'm not even in Diff eq, your teaching style is so great.

[@TheMathSorcerer]

Haha awesome

[@davidcastillo2031]

Ahhh. So this is what happens when you max out both Charisma and Intelligence. Thanks for such amazing lectures!!

[@masakari6922]

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!

[@talinalugo5857]

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!

[@TheMathSorcerer]

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!

[@TheMathSorcerer]

I recently made some new videos with a regular s, but I had such a hard time lol

[@talinalugo5857]

@@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.

[@valor36az]

Best explanation of the La place transform, this is so inspiring.

[@TheMathSorcerer]

thank you!!!

[@SK-hz2gn]

The explanation for number 2 just saved me!

[@panchogeorocks]

Very helpful and informative lecture! i was having a difficult time understanding Laplace transforms till I saw this vid.

[@d9e240]

This video is incredible. Just incredible. I learned so much.

[@1ukeee]

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.

[@briant9792]

"Eleven, how weird...it's like two vertical lines!" - hahaha lost it XD

[@TheMathSorcerer]

hahahahaha

[@Dangineering]

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.

[@mr.m291]

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!

[@mr.m291]

I have just finished, after taking some definite breaks. Now, time to do some homework. Thank you!

[@Dangineering]

You are a god, thank you

[@verlgrant1437]

what a great teacher. Im so jealous

[@TheMathSorcerer]

thx:)

[@deadinsider5960]

That guy is cool, writing down beta correctly, that's alpha primate move

[@TheMathSorcerer]

Hehe

[@Tayyabkhan-yt1dg]

Well done sir

[@playmakerj]

you da goat man! preciate yo hard work!

[@TheMathSorcerer]

Thanks man!

[@talhajat3301]

Good shit renee, keep it up and youll be the worlds best scientist

[@tylerstanton494]

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

[@DrDerivative]

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!

[@pinklady7184]

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.

[@TheMathSorcerer]

Yeah still alive! No corona here 😄

[@joinkusbelinkiusthethird]

Note 18:00, i'm bookmarking this to review later

[@princeobeng9377]

You are good

[@stevevu2816]

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.....

[@juanamorim8081]

thank you so much for your classes

[@SequinBrain]

Signal Processing is used in Audio Engineering.

[@talhajat3301]

Ahhh-na you are doing amazing

[@maxvonh]

that guy who drew the beta is so cool!

[@night5829]

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!

[@TheMathSorcerer]

Thank you!

[@ayeshasajjad6381]

Hello!!Can you please upload lectures on Fourier series and Fourier transform?

[@jandirpassos5327]

Very funny and nice lesson.

[@Tayyabkhan-yt1dg]

Love from Pakistan

[@mathiasjeppesen6781]

Hey Im curious about something. At (1:02:12) you say that f(t) = cos(t), if 0

[@azorbz9286]

The area at exactly t = pi is 0, as it is has no thickness. This means that the area between 0

[@ElifArslan-l9g]

thhank you so much

[@abdelz1617]

Another great video, thank you! Is 7.1 the last section covered in this playlist?

[@asmrcalmcooking]

Is there a section 7.2 or is this the complete course?

[@prestonmno4180]

LOL the girl equating a decaying exponential to taking a Xanax has me dying from laughter, but also a bit of sadness.

[@kinguproductions438]

10:50 "just give it a xanax" lol

[@raelatable8798]

Hey prof, do you have any videos on 5.1?

[@jaribraeckman9740]

What level is this class exactly? Like high school seniors, or college/uni?

[@TheMathSorcerer]

College

[@jaribraeckman9740]

@@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?

[@TheMathSorcerer]

In the US you usually need at least a masters in math to teach👍

[@ndotl]

Yes. You cannot get through EE without learning Laplace.

[@Brandon-qk2mf]

integral of ln(x) is 1/x :))

[@talhajat3301]

getting into the meat of my EE degree maths

[@doyouknowdawae2625]

that guys cool :)

[@anjanbhattacharjeesir]

❤❤❤

[@saymyname5942]

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?

[@owen7185]

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

[@danielforsberg4515]

I'm not even taking dif eq anymore. I just miss the in-person energy or a real lecture instead of zoom.

[@thomasjefferson6225]

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.

[@dominickmartin985]

man that guy is cool

[@FelipeHenrique-yq3bu]

I wish I'd found your channel before

[@aegisistatic8329]

Okay so we're missing the next part... WHERE IS IT MISTER MATH SORCERER PLS SEND HELP

[@TheMathSorcerer]

the coronavirus came and it was never recorded:/

[@aegisistatic8329]

@@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 🤮.

[@TheMathSorcerer]

I have playlists I can link them in a sec let me look👍👍

[@TheMathSorcerer]

all of chapter 7 kzbin.info/aero/PLO1y6V1SXjjMx8QVU4WPpsFH4QQC6tWiT mixed problems from chapter 7 kzbin.info/aero/PLO1y6V1SXjjNlLLQ9R-fkYwshOnAiS1hB convolution(also in chapter 7) kzbin.info/aero/PLO1y6V1SXjjO8ZyGvWVm8kVHZ-grqkf-I

[@aegisistatic8329]

@@TheMathSorcerer Woah thank you very much! I am going to contribute views for you. :D

[@SequinBrain]

"#1, there's a video for it." There are videos for problems in the Zill book?

[@maryumnoor1401]

on webassign, yesss

[@SequinBrain]

@@maryumnoor1401 we didn't have webassign... :(

[@shcottam]

Definetly calling that technique a looper from now on

[@rudyj8948]

give it a xanax, lmaooo

[@franman6076]

the beta guy is a legend

[@talhajat3301]

RRRRafeal

[@chimetimepaprika]

Spme say maths are hard for them, but I am hard for maths.

[@wilderisrael4347]

I need proofs

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AFTER THIS CORONA HAPPENED LOLLLLLLLLLLLLLLLLLLL

[@TheMathSorcerer]

I know crazy lol

[@LtrRtL7]

This is the Kind of shit i like

[@Theunbelievable69]

hey dont make fun of the xanax girl. I been watching you sniff markers all semester lmao

[@user-yq9nv6nj1k]

xanax wtf 😂

[@tombombadil1351]

not looking forward to this. lol