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).
If you enjoyed this video please consider liking, sharing, and subscribing.
You can also help support my channel by becoming a member
/ @themathsorcerer
Thank you:)

Пікірлер: 90

  • @nickwhite5771
    @nickwhite57713 жыл бұрын

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

  • @TheMathSorcerer

    @TheMathSorcerer

    3 жыл бұрын

    oh wow how cool!

  • @Freedomind901

    @Freedomind901

    2 жыл бұрын

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

  • @TheEpicGod111
    @TheEpicGod1113 жыл бұрын

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

  • @TheMathSorcerer

    @TheMathSorcerer

    3 жыл бұрын

    Haha awesome

  • @davidcastillo2031
    @davidcastillo20312 жыл бұрын

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

  • @masakari6922
    @masakari69227 ай бұрын

    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
    @talinalugo58573 жыл бұрын

    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

    @TheMathSorcerer

    3 жыл бұрын

    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

    @TheMathSorcerer

    3 жыл бұрын

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

  • @talinalugo5857

    @talinalugo5857

    3 жыл бұрын

    @@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.

  • @briant9792
    @briant97923 жыл бұрын

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

  • @TheMathSorcerer

    @TheMathSorcerer

    3 жыл бұрын

    hahahahaha

  • @deadinsider5960
    @deadinsider59603 жыл бұрын

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

  • @TheMathSorcerer

    @TheMathSorcerer

    3 жыл бұрын

    Hehe

  • @valor36az
    @valor36az4 жыл бұрын

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

  • @TheMathSorcerer

    @TheMathSorcerer

    4 жыл бұрын

    thank you!!!

  • @SK-hz2gn
    @SK-hz2gn3 жыл бұрын

    The explanation for number 2 just saved me!

  • @d9e240
    @d9e2403 жыл бұрын

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

  • @panchogeorocks
    @panchogeorocks2 жыл бұрын

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

  • @1ukeee
    @1ukeee3 жыл бұрын

    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.

  • @verlgrant1437
    @verlgrant14372 жыл бұрын

    what a great teacher. Im so jealous

  • @TheMathSorcerer

    @TheMathSorcerer

    2 жыл бұрын

    thx:)

  • @mr.m291
    @mr.m291 Жыл бұрын

    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

    @mr.m291

    Жыл бұрын

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

  • @talhajat3301
    @talhajat33012 жыл бұрын

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

  • @playmakerj
    @playmakerj4 жыл бұрын

    you da goat man! preciate yo hard work!

  • @TheMathSorcerer

    @TheMathSorcerer

    4 жыл бұрын

    Thanks man!

  • @tylerstanton494
    @tylerstanton4943 жыл бұрын

    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

  • @pinklady7184
    @pinklady71844 жыл бұрын

    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

    @TheMathSorcerer

    4 жыл бұрын

    Yeah still alive! No corona here 😄

  • @Dangineering
    @Dangineering Жыл бұрын

    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.

  • @juanamorim8081
    @juanamorim80812 жыл бұрын

    thank you so much for your classes

  • @Tayyabkhan-yt1dg
    @Tayyabkhan-yt1dg Жыл бұрын

    Well done sir

  • @Dangineering
    @Dangineering Жыл бұрын

    You are a god, thank you

  • @kinguproductions438
    @kinguproductions4382 жыл бұрын

    10:50 "just give it a xanax" lol

  • @stevevu2816
    @stevevu28163 жыл бұрын

    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.....

  • @abdelz1617
    @abdelz16172 жыл бұрын

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

  • @DrDerivative
    @DrDerivative2 жыл бұрын

    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!

  • @talhajat3301
    @talhajat33012 жыл бұрын

    Ahhh-na you are doing amazing

  • @princeobeng9377
    @princeobeng93772 жыл бұрын

    You are good

  • @user-bu8mg7uq3s
    @user-bu8mg7uq3s2 жыл бұрын

    thhank you so much

  • @maxvonh
    @maxvonh2 жыл бұрын

    that guy who drew the beta is so cool!

  • @SequinBrain
    @SequinBrain3 жыл бұрын

    Signal Processing is used in Audio Engineering.

  • @saymyname5942
    @saymyname59423 жыл бұрын

    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?

  • @ayeshasajjad6381
    @ayeshasajjad63812 жыл бұрын

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

  • @joinkusbelinkiusthethird
    @joinkusbelinkiusthethird4 ай бұрын

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

  • @jandirpassos5327
    @jandirpassos53276 ай бұрын

    Very funny and nice lesson.

  • @doyouknowdawae2625
    @doyouknowdawae262510 ай бұрын

    that guys cool :)

  • @Tayyabkhan-yt1dg
    @Tayyabkhan-yt1dg Жыл бұрын

    Love from Pakistan

  • @night5829
    @night58292 жыл бұрын

    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

    @TheMathSorcerer

    2 жыл бұрын

    Thank you!

  • @talhajat3301
    @talhajat33012 жыл бұрын

    getting into the meat of my EE degree maths

  • @rudyj8948
    @rudyj8948 Жыл бұрын

    give it a xanax, lmaooo

  • @anjanbhattacharjeesir
    @anjanbhattacharjeesir4 ай бұрын

    ❤❤❤

  • @Brandon-qk2mf
    @Brandon-qk2mf3 жыл бұрын

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

  • @raelatable8798
    @raelatable87982 жыл бұрын

    Hey prof, do you have any videos on 5.1?

  • @jaribraeckman9740
    @jaribraeckman9740 Жыл бұрын

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

  • @TheMathSorcerer

    @TheMathSorcerer

    Жыл бұрын

    College

  • @jaribraeckman9740

    @jaribraeckman9740

    Жыл бұрын

    @@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

    @TheMathSorcerer

    Жыл бұрын

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

  • @mathiasjeppesen6781
    @mathiasjeppesen67812 жыл бұрын

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

  • @azorbz9286

    @azorbz9286

    2 жыл бұрын

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

  • @ndotl
    @ndotl7 ай бұрын

    Yes. You cannot get through EE without learning Laplace.

  • @danielforsberg4515
    @danielforsberg45153 жыл бұрын

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

  • @owen7185
    @owen71859 ай бұрын

    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

  • @dominickmartin985
    @dominickmartin9852 жыл бұрын

    man that guy is cool

  • @thomasjefferson6225
    @thomasjefferson6225 Жыл бұрын

    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.

  • @FelipeHenrique-yq3bu
    @FelipeHenrique-yq3buАй бұрын

    I wish I'd found your channel before

  • @shcottam
    @shcottam7 ай бұрын

    Definetly calling that technique a looper from now on

  • @talhajat3301
    @talhajat33012 жыл бұрын

    RRRRafeal

  • @franman6076
    @franman60763 жыл бұрын

    the beta guy is a legend

  • @yousafhassan4588
    @yousafhassan45883 жыл бұрын

    AFTER THIS CORONA HAPPENED LOLLLLLLLLLLLLLLLLLLL

  • @TheMathSorcerer

    @TheMathSorcerer

    3 жыл бұрын

    I know crazy lol

  • @aegisistatic8329
    @aegisistatic83293 жыл бұрын

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

  • @TheMathSorcerer

    @TheMathSorcerer

    3 жыл бұрын

    the coronavirus came and it was never recorded:/

  • @aegisistatic8329

    @aegisistatic8329

    3 жыл бұрын

    @@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

    @TheMathSorcerer

    3 жыл бұрын

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

  • @TheMathSorcerer

    @TheMathSorcerer

    3 жыл бұрын

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

  • @aegisistatic8329

    @aegisistatic8329

    3 жыл бұрын

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

  • @SequinBrain
    @SequinBrain3 жыл бұрын

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

  • @maryumnoor1401

    @maryumnoor1401

    3 жыл бұрын

    on webassign, yesss

  • @SequinBrain

    @SequinBrain

    3 жыл бұрын

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

  • @Theunbelievable69
    @Theunbelievable69 Жыл бұрын

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

  • @chimetimepaprika
    @chimetimepaprika7 ай бұрын

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

  • @user-yq9nv6nj1k
    @user-yq9nv6nj1k Жыл бұрын

    xanax wtf 😂

  • @wilderisrael4347
    @wilderisrael4347 Жыл бұрын

    I need proofs

  • @tombombadil1351
    @tombombadil13514 жыл бұрын

    not looking forward to this. lol