Calculus 3 Final Review (Part 3) || Vector Calculus || Line Integrals, Green's and Stokes' Theorem

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  • Опубліковано 22 жов 2024

КОМЕНТАРІ • 85

  • @LudusYT
    @LudusYT  4 роки тому +26

    Donations really help me get by. If you'd like to donate, I have links below!!!
    Venmo: @Ludus12
    PayPal: paypal.me/ludus12
    Patreon: patreon.com/ludus1

  • @emili2188
    @emili2188 3 роки тому +114

    This is it. The final hour. I am in shambles

    • @sateleim
      @sateleim Рік тому +7

      I CACKLED it’s 1:30 AM and i’m crying

    • @andrewmier9257
      @andrewmier9257 Рік тому +1

      Me rn

    • @scisarah3770
      @scisarah3770 10 місяців тому +4

      ​@@sateleimCurrently 1:30 am and my final is tomorrow, I relate heavily

    • @ayidenbrown2972
      @ayidenbrown2972 10 місяців тому

      @@scisarah37704:20 am and my final is in 6 hours. Comment made my night

    • @kylezhang2032
      @kylezhang2032 4 місяці тому

      Same! I'm watching this at 1:24 AM

  • @edry18
    @edry18 4 роки тому +108

    Time stamps since they are not posted in the description like the last two videos-
    0:01:47 - Line Integrals
    0:17:00 - FT of Line Integrals
    0:23:08 - Green's Theorem
    0:32:30 - Curl and Divergence
    0:38:19 - Surface Integrals
    0:56:27 - Stoke's Theorem
    1:08:00 - Divergence Theorem

  • @gavinwale8442
    @gavinwale8442 3 роки тому +89

    Taught me more in 36 minutes at 2x speed than I learned this entire semester

  • @MM-by6qq
    @MM-by6qq 3 роки тому +17

    I HAVE FINAL AFTER ALMOST 4 DAYS AND I TOTALLY DON'T KNOW WHAT'S GOING IN CALCULUS 3 THANKS GOD I FOUND THIS SERIES.. BRO THANK YOU ALOTT AMAZING😪💖

  • @Cliffenator
    @Cliffenator 4 роки тому +47

    Thank you so much for this. My calc professor this semester has literally just put examples on the board and nothing else all semester, I literally didn't know there were 3 different line integral equations.

    • @LudusYT
      @LudusYT  4 роки тому +11

      Yikes, I'm sorry for you!! I had some friends that had awful calc 3 professors (thank god I didn't). I'm glad I could help man!

  • @katherannn
    @katherannn 4 роки тому +20

    crazy how the way this is taught makes it soooo much easier to understand. Thank you for explaining the concepts behind the math

    • @LudusYT
      @LudusYT  4 роки тому +3

      No prob!! I definitely knew I had to do that in the part 3 video because Vector Calc is where most students just get SUPER lost (myself included). I knew a regular practice problems video wouldn't cut it.

  • @RinaNewhouse
    @RinaNewhouse 3 роки тому +8

    You’re so helpful. I’ve gotten straight A’s in Calculus I and II. But in Calculus III, Ludus, I’ve been absolutely STRUGGLING. My professor is no good, the TA’s aren’t much better, and even my classmates aren’t the most helpful (a lot of them are struggling too).
    This video is like oxygen to me. So helpful.
    Thank you SO much. I wish I found this sooner, but I’m glad I found it now.

  • @airsoftboi2147
    @airsoftboi2147 3 роки тому +13

    Thanks very much man! Good last minute review of it all before my final tomorrow. The rest of my 18.02 class here at MIT sends their regards as well!

  • @rachelklemm4770
    @rachelklemm4770 4 роки тому +16

    wow i almost gave up studying before finding this video. you are a legend

    • @LudusYT
      @LudusYT  4 роки тому +1

      Lol I’m glad I could help!!

    • @MM-by6qq
      @MM-by6qq 3 роки тому

      JUST LIKE ME LOL

  • @masonbram1321
    @masonbram1321 4 роки тому +8

    You just taught me all of multi 7 hours before my final (for UVA Engineering). Seriously, thank you!

    • @aeexpaige3017
      @aeexpaige3017 Рік тому +1

      Did you do good? Currently going through the EXACT same thing and need to know if this will be beneficial!! Didn’t get Hellings :(

  • @ericdheit
    @ericdheit 5 місяців тому +2

    3 weeks of class taught better in an hour, thanks bro

  • @maxradlicz4938
    @maxradlicz4938 4 роки тому +11

    This video saved my calc grade, This is amazing, I am forever in debt to you. You are so good at explaining things.

    • @LudusYT
      @LudusYT  4 роки тому +1

      Max Radlicz - I’m glad I could help!!! I know a lot of students tend to struggle with Vector Calculus (I did), so in this part 3 video, I wanted to try to make it as clear as possible! If you see anything that I could do to improve, I’d love to hear it!

    • @maxradlicz4938
      @maxradlicz4938 4 роки тому +2

      @@LudusYT One thing I noticed was the way you solved a stokes theorem problem. I was taught to take the double integral of the dot product of the curl(F) and the n vector. The n vector is either or depending on the direction of the n vector, whether upward or downward. This made more sense to me than what you did in the video. I hope this makes sense. But, other than that, everything else was perfect! Thanks!

    • @LudusYT
      @LudusYT  4 роки тому

      Huh, that's pretty interesting. I'll have to look into that a bit more. I don't think I was ever taught that way!

  • @wdbean2369
    @wdbean2369 5 місяців тому

    Really appreciate this review series, it was very very helpful. I really hope that we get questions this simple on the final, I've never seen questions this easy on homeworks and in lecture

  • @Wendy-hk1cc
    @Wendy-hk1cc 4 роки тому +4

    I wish I found you before I got a B- in class! the 2/5 rating on ratemyprofessor should’ve told me to stay away but I’m sure I’ll use these videos as a guide next semester thank you

  • @yunwang1243
    @yunwang1243 4 роки тому +11

    I am genuinely confused for quite a while during the surface integral section. And I wish Ludus could have given two examples for each concept and skipped some of the integration. (I think how to set up is what we really need to review). However, this video is practical and helpful, and for a video that is only an hour-long, it does a pretty good job balancing theory and practice.

    • @LudusYT
      @LudusYT  4 роки тому +2

      I appreciate the feedback. I’ll be remaking these videos, and doing a much better job in a few months or so. What specifically were you having trouble with on the surface integrals section?

    • @LudusYT
      @LudusYT  4 роки тому +5

      Also, I should add that I personally like when professors do out all the integration bc then I see the problem fully solved, but I do see where you’re coming from and I will take that into consideration.

    • @yumdoughnuts5537
      @yumdoughnuts5537 3 роки тому +3

      @@LudusYT I think you should keep showing how to solve the integrals bc it's helpful (and ppl can simply skip through it if they think it's a waste of time), but I do think that maybe having 2 examples each might be nice

  • @robertanderson2969
    @robertanderson2969 9 місяців тому +1

    On the curl example, the answer at 38:11 is incorrect. All of the elements of the vector are positive because the negative from the cos is canceled by the negative that operates on that element. In the first case, the i section, it is being subtracted in the cross product, which cancels the negative from the cos. Then the rest are similar.
    If this is incorrect please let me know, I don't want to miss anything important.

  • @ebreeze118
    @ebreeze118 10 місяців тому

    Thank you so much for making these review videos they are saving my life reviewing for my final!

  • @johngraham2186
    @johngraham2186 2 роки тому +1

    This is so extremely helpful! Thank you so much! You may have just saved my final grade.

  • @annacsa4515
    @annacsa4515 2 роки тому

    Thank you so much. I understood something I've been using days to learn in 3 hours

  • @Jeremy_Fisher
    @Jeremy_Fisher 4 роки тому +62

    You're an absolute legend m8. These Calc 3 review videos are so good and supremely underrated. It's mind boggling that this has less than a thousand views, it should have hundreds of thousands. It's pure quality.

    • @LudusYT
      @LudusYT  4 роки тому +6

      Thank you so much!!! I’m so glad I could help you out!!

    • @jullietomson9446
      @jullietomson9446 3 роки тому +1

      l totally agree

  • @erikkolb3609
    @erikkolb3609 2 роки тому

    Bro, this actually saved my life. Thank you

  • @esostudent6817
    @esostudent6817 3 роки тому +1

    Very helpful, thanks! You have got to try that second gen Apple Pencil. So much more convenient with notability!

  • @Eren-he5dt
    @Eren-he5dt 3 роки тому

    Damn you deserve more views. Ye there is not a calc 3 stoke fans community but still, even after the prophet(prof) Leonard, you made me understood differences of those theorems. Thank you for this.

  • @meghandietrich4876
    @meghandietrich4876 4 роки тому

    thank you for this!! with classing being online this was the only thing that put everything together for me

  • @josepha8415
    @josepha8415 5 років тому +2

    Thank you for uploading these videos .

    • @LudusYT
      @LudusYT  5 років тому

      Joseph A - No problem! I really hope they help you out when your final comes along. I’ll be coming out with my first calc 1 final review video in the next couple of days, so if you know anyone that could benefit from that (or from the calc 2 & 3 final videos) definitely let ‘em know!
      Thanks for all the support.

  • @navs1970
    @navs1970 2 місяці тому

    Underrated channel

  • @rehmanali9087
    @rehmanali9087 Рік тому +1

    Content so good, not even skipping ads 😅

    • @LudusYT
      @LudusYT  Рік тому +1

      Thank you!! I’m glad I’m able to help ya out!

  • @briandasso9998
    @briandasso9998 4 роки тому +14

    Subscribed bcuz of time stamps lol

    • @LudusYT
      @LudusYT  4 роки тому +4

      Lol I had to make sure I included those!! I’ll also need to double check all my videos to make sure I have them in the description and comments.

  • @senrinakamura4456
    @senrinakamura4456 10 місяців тому

    Thank you so much for posting this.

  • @therandomones2011
    @therandomones2011 3 роки тому

    Cant thank you enough for this series, much appricated!

  • @indianjitsingh8838
    @indianjitsingh8838 3 роки тому +3

    I think I am in love with you..
    r way of teaching

  • @isobel1762
    @isobel1762 3 роки тому

    thank you so much. i have never really studied before, so this is so helpful :)

  • @dreama256
    @dreama256 3 роки тому

    For the first problem, you mention we have to use equation #2 but I don't see where you acutally used it in the problem at all. How did you apply it? What happened to the x'(t)???

  • @DilrubaSofia
    @DilrubaSofia 3 роки тому +9

    At time ua-cam.com/video/N5qHu72GVdI/v-deo.html I think it should be cos(2 theta)/2 but since sin(2pi) or sin(0) were zero, we ended up getting the right answer.

  • @dimes4643
    @dimes4643 3 роки тому

    Thank you for the amazing video. I have learned so much!

  • @mnm1219
    @mnm1219 2 роки тому

    perfect explanation. thank you so much 🥺❤️

  • @MonawarMesbah123
    @MonawarMesbah123 Рік тому

    1:01:20 I like the Philip DeFranco notification

  • @RinaNewhouse
    @RinaNewhouse 3 роки тому

    In 20:56, how is z^2 = to the white boxes? That doesn’t make sense to me. Please explain. Thanks so much

  • @ronniephillips3811
    @ronniephillips3811 4 роки тому

    my online teachers could learn from you lol! you saved my grade!

  • @jasonalvarez6640
    @jasonalvarez6640 Рік тому

    Got a final tommorow at 8 am need a 60 to pass the class Heres to hoping i dont gotta run it back

  • @user-ut7wi1if9q
    @user-ut7wi1if9q 2 роки тому +1

    48:40 Where did the half of cos(2theta) go?

  • @davidholguin1860
    @davidholguin1860 Рік тому

    which app do use for taking notes??

  • @greensparkles6796
    @greensparkles6796 10 місяців тому

    at the end you did -1/3 sintheta instead of -2/3

  • @alissabeebe4652
    @alissabeebe4652 4 роки тому +1

    Super appreciated!

  • @kendalwilliams5128
    @kendalwilliams5128 4 місяці тому

    thanks!!

  • @Saint_Ale
    @Saint_Ale 3 роки тому

    Thank you

  • @codycherrington2314
    @codycherrington2314 2 роки тому +1

    Final at 8 am tomorrow, wish me luck

    • @LudusYT
      @LudusYT  2 роки тому

      Hope you did awesome man!

  • @mehmetoguzalpkan2554
    @mehmetoguzalpkan2554 2 роки тому +1

    Allah razı olsun

  • @nisamiyim
    @nisamiyim 5 місяців тому

    hi, at 1:06:16 you accidentally wrote -1/3 sine instead of -2/3 sine

  • @oaaees
    @oaaees 2 роки тому

    What app is he using to write?

  • @sujaysyal
    @sujaysyal Рік тому

    Love u bro!

  • @jesussaquin6266
    @jesussaquin6266 Рік тому

    damn bro youre the man

  • @heatherhare6868
    @heatherhare6868 3 роки тому +2

    the new sal khan

  • @collinwang3259
    @collinwang3259 3 роки тому

    tysm

  • @A_Marcou
    @A_Marcou Рік тому

    gatech engineering thanks you

  • @hassantheman1017
    @hassantheman1017 3 роки тому

    nice shirt dude

  • @esfandiyar2350
    @esfandiyar2350 4 роки тому

    ghost remote at 0:01

  • @samholt9177
    @samholt9177 2 роки тому

    I have an issue with how u write ‘z’ lmao

  • @reigner-brown
    @reigner-brown 2 роки тому

    no one cares