Calculus 3 Final Review (Part 1) || Lagrange Multipliers, Partial Derivatives, Gradients, Max & Mins

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  • Опубликовано: 12 дек 2024

Комментарии • 157

  • @jaggysmf1860
    @jaggysmf1860 3 года назад +171

    My final is in 3 days. Hope to get in at least 1 video a day. Thank you for making these.
    Update: yooooo, i got a 97, thank you so much for these videos!

    • @jasminejanneth6857
      @jasminejanneth6857 3 года назад +13

      This gives me hope!!

    • @jaggysmf1860
      @jaggysmf1860 3 года назад +3

      @@jasminejanneth6857 good luck!

    • @RinaNewhouse
      @RinaNewhouse 3 года назад +2

      Dude this gives me so much hope! Severely struggled with PrairieLearn online exams (auto graded exams) and am excited to show what I’ve got on a written exam! Thanks again for all of this!!!
      And wowza, congrats on the 97 🍾

    • @terrible2d
      @terrible2d 4 дня назад

      @@RinaNewhouse How'd it go (prob a REALLY long time since then lol, maybe even graduated already).

  • @esfandiyar2350
    @esfandiyar2350 4 года назад +194

    Finally. An organized final course review, that goes in-depth per each question. There is nothing like this on RUclips. Its either too much theory, and no practice. or extreme problem solving with no explanation. This is incredible content, and the editing makes it less boring. PLEASE, keep up the good work, and dont disappear on us. Also, if you're comfortable sharing, what did you major in?

    • @charlestang5296
      @charlestang5296 4 года назад +1

      totally agree man

    • @melanyanguilar5620
      @melanyanguilar5620 4 года назад +12

      I believe he said he was a physics major while he was talking about differentials

    • @wenhaochen8618
      @wenhaochen8618 2 года назад +1

      He said it's physics, watch the video carefully dude

  • @LudusYT
    @LudusYT  5 лет назад +79

    Timestamps which I forgot to include:
    Problem 01 -- 00:02:10 -- Finding the Equation of a Plane
    Problem 02 -- 00:11:05 -- Graphing a Quadric Surface
    Problem 03 -- 00:18:36 -- Graphing and Finding the Domain of a Vector Function
    Problem 04 -- 00:22:18 -- Finding Unit Tangent and Normal Vectors + Curvature & Arc Length
    Problem 05 -- 00:34:00 -- Finding All Second Partial Derivatives
    Problem 06 -- 00:42:17 -- Finding the Differential of a Three Variable Function
    Problem 07 -- 00:46:11 -- Deriving the Second Derivative w/ Chain Rule
    Problem 08 -- 00:53:51 -- Finding the Gradient
    Problem 09 -- 01:01:45 -- Finding Local Extrema and Saddle Points
    Problem 10 -- 01:15:00 -- Lagrange Multipliers with 2 constraints
    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

  • @123bubbleup
    @123bubbleup 4 года назад +132

    Pro Tip: After you watch the video, do all the problems again on a separate sheet of paper/tablet page by yourself and you will find out exactly what you don't know .

    • @123bubbleup
      @123bubbleup 4 года назад +4

      Also great video! UCSD makes math majors take a stupid exam on vector calc even though I took it years ago.

    • @hamzarehman7888
      @hamzarehman7888 Год назад +1

      Def gonna try this. Thanks!!

  • @crunchy4792
    @crunchy4792 4 дня назад +5

    I'm reviewing this the night before. I gotta lock in better in the future.

  • @cielomartos7807
    @cielomartos7807 5 лет назад +166

    haha more like im watching this in 2x because my final is in 2 hours

    • @LudusYT
      @LudusYT  5 лет назад +24

      Lol hurry!

    • @cielomartos7807
      @cielomartos7807 5 лет назад +40

      Ludus update i got my grade back i got a B and the average was a D THANK YOU FOR MAKING THESE VIDEOS

    • @alexamanchester1100
      @alexamanchester1100 2 года назад +1

      omg me too!!

    • @hk254lyt8
      @hk254lyt8 Год назад

      Legend 😂. I got a week

    • @geraldpimpstinky249
      @geraldpimpstinky249 6 минут назад

      that’s bar for bar what i’m doing 💀💀

  • @zack7993
    @zack7993 12 дней назад +2

    (31:49) If you're struggling to understand the results the curvature part of question 4, remember that the function traces a helix (straight line in xy and xz, circle in the yz of radius 3). A circle has constant curvature, and the function does not curve along the x-axis, thus the curvature of the whole vector is a constant. Hope this helps someone.

  • @Luke-cp9uj
    @Luke-cp9uj День назад +2

    good luck to all you guys

  • @jakekitzmann2288
    @jakekitzmann2288 8 месяцев назад +1

    Fantastic video! My professor didn't post an organized review and just said "read over the whole book". Very helpful!

  • @PedroTechnologies
    @PedroTechnologies 4 года назад +7

    I commented about 5 months ago on your calc 2 review saying I needed a 35 to pass, here I am again! Need a 40 to pass, really want to get a 75+ but its not looking probable. Your video is helping me a lot, be back in 2 days to report on my grade

    • @bottim9728
      @bottim9728 3 года назад

      Well?

    • @PedroTechnologies
      @PedroTechnologies 3 года назад +2

      @@bottim9728 lmao this always happens. I forget to come back. But i got 70 which was good 😊

    • @bottim9728
      @bottim9728 3 года назад +1

      @@PedroTechnologies good stuff man I'm taking my mid term tommorow hope I get a 75 as well

    • @PedroTechnologies
      @PedroTechnologies 3 года назад +2

      @@bottim9728 good luck! Tbh we always think we will do worse then we do, it will all be alright at the end of the day

  • @ghostek7792
    @ghostek7792 2 года назад +8

    for some reason, we never touched on lagrange multipliers. In my university class, "calc III for engineering" we have half a semester to complete the course, essentially we only take 2 classes for half the semester, and than 2 more the other half. I personally like this style of learning because you feel like you're able to focus more intently on 2 subjects. but yeah I don't remember going over lagrange multipliers it seems interesting. I already took the final but I'm just going back through the concepts for fun

  • @CongNguyen-ib1ro
    @CongNguyen-ib1ro Год назад +5

    dude is out here casually saving college students' lives

  • @jamiepianist
    @jamiepianist 16 часов назад

    Wonderful review, thank you!

  • @shreshthsarin8693
    @shreshthsarin8693 Год назад

    I love you man. Thanks for making the review so simple and useful. You're the GOAT!

  • @maryn392
    @maryn392 3 года назад +4

    I have a final next week and your videos are very helpful reviews of the topics. You taught better than my prof. Thank you so much

  • @LieuweStraatman
    @LieuweStraatman Месяц назад

    42:19 excellent ad placement, you got em **there**

  • @giovanniurias155
    @giovanniurias155 Год назад +1

    This video is helping me with my final in university. I appreciate your insights and help sincerely!

  • @scottrodriguez-er8vc
    @scottrodriguez-er8vc 15 дней назад +1

    They are really good videos. I’m hopping to pass my class.

  • @_easymoneysniper_
    @_easymoneysniper_ 4 года назад +48

    currently 10:04pm, final tomorrow morning at 9:30 lmao

    • @Phenrex
      @Phenrex 4 года назад +8

      I relate so much it hurts

    • @emili2188
      @emili2188 4 года назад +8

      my final is in exactly 24 hours. i am going to die

    • @emili2188
      @emili2188 3 года назад +9

      update: i passed with a C. thank god it’s over

    • @daybyday3840
      @daybyday3840 3 года назад +1

      @@emili2188 Who asked?

    • @emili2188
      @emili2188 3 года назад +2

      @@daybyday3840 i ain’t gotta be asked to speak... but your mom lol

  • @paulah0819
    @paulah0819 Год назад +1

    thank you so much!! i had a rough semester especially when it came to calc 3 and this video saved me!!!!

  • @Silamoth
    @Silamoth 3 года назад +7

    Nice video! I took Multivariate Calc a couple years ago, so this was nice to brush up a bit. One note regarding mixed partial derivatives: Clairaut's Theorem only applies when the mixed partial derivatives are continuous. So if you find f_xy and it's continuous, then you can use Clairaut's Theorem to say that f_yx = f_xy. But if you find f_xy and it isn't continuous, then Clairaut's Theorem can't tell you anything about f_yx. Overall, great video, though. Thanks for taking the time to put this together!

  • @jackzhang2185
    @jackzhang2185 5 лет назад +8

    these videos deserve more clout

    • @LudusYT
      @LudusYT  5 лет назад

      Lol thank you. I hope they get more clout in the future, but who knows. I’m happy with the current growth that we’re getting from Tik Tok lol.

  • @troybilaver1417
    @troybilaver1417 3 года назад

    Super video! I applauded for $2.00 👏

  • @martinwilliamson5250
    @martinwilliamson5250 2 года назад +2

    Calc 3 final exam in 5 days, 4 days left to study, I just got 1 hour 7 minutes through this video but time for bed, I will do parts 2 and 3 tomorrow and then hopefully I will be able to practice enough problems the rest of the week to do well on the final. Thank you for this video it is great!

    • @sammilbank8456
      @sammilbank8456 2 года назад +7

      Not me watching all 3 parts the night before my exam

    • @kiddcamel
      @kiddcamel Год назад

      @@sammilbank8456 how'd you do

    • @sammilbank8456
      @sammilbank8456 Год назад

      @@kiddcamel well enough to go from a B- to B+

  • @christopherpesantez9806
    @christopherpesantez9806 4 года назад +2

    I don't know if its because I already learned this but you make Calc 3 so easy to understand. Can't wait to watch the rest! Thank you! I will likely watch your differential equations videos.

  • @jaynimbalkar8364
    @jaynimbalkar8364 2 года назад +3

    Your videos were amazing. I was so worried about my final exam for calc 3, and your review sessions definitely helped out a ton.

  • @thunderd7904
    @thunderd7904 Год назад +12

    You taught me more in 30 minutes than my teacher did in the entire semester

  • @JeremyChung
    @JeremyChung 2 года назад +1

    Mate this is just what i needed to prep for the final. Thanks a bunch

  • @proro3757
    @proro3757 2 года назад +5

    I watched this review to study for my calc 3 final the day before, and hardly anything from it was on my exam. But that's ok, it was a really good video. It was very useful, thank you.

    • @LudusYT
      @LudusYT  2 года назад +2

      That’s weird. This 3-part series basically covered everything I covered (when I was in college) during Calc 3. Did you only watch the part 1?

    • @proro3757
      @proro3757 2 года назад +1

      @@LudusYT Funnily enough I watched part 1 and then started part 2, then realized there was a part 3 as well, but I was running out of time so I had to watch part 2 and 3 on 2x speed. I mean I suppose what you covered was on there, but a couple topics from my final weren't in your videos. Also, every question on the final was very difficult and not as straight forward as the examples from your videos. Your videos did help me with atleast one question, so for that I say it was worth it. But the rest were very complex questions that expanded on the basic principles you went over in your videos. I think what got me in the end was not being able to recognize what kind of problem the question was and what method I should be using. Still, thank you for the video

  • @youreyesarebleeding1368
    @youreyesarebleeding1368 2 года назад +5

    My final is in 14 hours and I have to get an 80% on it, so needless to say, these videos are very helpful.
    We can bring a cheat sheet and a calculator to the final, so you best believe I'm writing everything as small as possible to cram it all onto the cheat sheet, and setting up some macros on my calculator to make life easier

    • @frozenrats
      @frozenrats Год назад +1

      How did you do?

    • @youreyesarebleeding1368
      @youreyesarebleeding1368 Год назад +8

      @frozenrat I *barely* made it. You have no clue how high the stakes were. If i got a D in that class, I would have lost my scholarship. I might have had to drop out, and my whole life would have changed at the very least. I only got a C because the final got curved up.
      It scared the shit out of me and I realized I can never let it get that close again, so I've been studying a lot this semester and actually going to class/doing all my homework, and so far my lowest grade is a 94%. That experience changed me lmao.

    • @gustavgille9323
      @gustavgille9323 Год назад

      @@youreyesarebleeding1368 damn bro

    • @hamzarehman7888
      @hamzarehman7888 Год назад

      @@youreyesarebleeding1368 DAMN man

    • @youreyesarebleeding1368
      @youreyesarebleeding1368 Год назад +1

      @Hamza Rehman Dude it scared me fucking straight tho, i got a 3.83 GPA this semester, and i'm taking summer classes and going for all A's.
      My cumulative is above 3.0 for the first time, and will be above 3.1 after summer

  • @techno2371
    @techno2371 Год назад +1

    Thanks a lot! I am trying to learn calculus 3 at home so this extremely helpful

  • @bruh_1157
    @bruh_1157 5 лет назад +7

    Thanks l had a calculus test in 4 years nice review

  • @victorcamara2155
    @victorcamara2155 2 года назад +2

    Just got a 95% on my calc 2 final thanks to your videosl.. Now to start preparing for calc 3.... lol

    • @LudusYT
      @LudusYT  2 года назад +1

      That’s awesome!!! Calc 3 is easier in most peoples opinion I’ve heard. I thought it was a bit harder since I had trouble graphing things in 3D at first and understanding vector Calc.

    • @victorcamara2155
      @victorcamara2155 2 года назад

      @@LudusYT I'll let you know how it goes I heard that calc 3 a harder class and calc 2 is harder concepts if that makes any sense but idk. only one way to find out.

  • @deceptivebark671
    @deceptivebark671 Год назад

    SO HELPFUL! Thank you for taking the time to make this series 🙏

  • @fatya4470
    @fatya4470 10 месяцев назад +1

    Thanks to your videos PASSED Calc 3

    • @LudusYT
      @LudusYT  10 месяцев назад +1

      OMG!!!!! IM SO GLAD I COULD HELP YOU OUT!!!!!!

  • @Jackymomo1
    @Jackymomo1 2 года назад

    Its interesting that everyone has a different way to do lagrange multipliers problems.

  • @emili2188
    @emili2188 4 года назад +2

    You are saving my freaking butt, dude. I have my final in 23 hours now and I know absolutely nothing. I'm hoping your 3 part videos can at least get me a C. I'll update you but I'm sure if I fail, it won't be your fault lol this semester was so hard!

    • @totinospizzarolls4737
      @totinospizzarolls4737 3 года назад +1

      Update?

    • @duppydan6202
      @duppydan6202 3 года назад +1

      Update?

    • @emili2188
      @emili2188 3 года назад +3

      @@duppydan6202 hey wow! I did pass with a C haha. Thank God 🙏

    • @emili2188
      @emili2188 3 года назад +1

      @@totinospizzarolls4737 I passed with a C!!

    • @duppydan6202
      @duppydan6202 3 года назад +2

      @@emili2188 Let’s go!! I got mine in a couple days, wish me luck 🙏

  • @joeycavazos6746
    @joeycavazos6746 3 года назад

    I really appreciate the time you took to make this video.

  • @asdfgh2920
    @asdfgh2920 Год назад +1

    Elements of style ! Great book

  • @traditionalsalmon2759
    @traditionalsalmon2759 2 года назад

    This is the best series. no pun intended

  • @CharisWang-hn5sj
    @CharisWang-hn5sj Год назад

    going to use these videos to try and learn calc3 material in two weeks, as I will update if this works or not. proficiency exam is in two weeks!

  • @gon2407
    @gon2407 3 года назад

    Absolute legend mate I wish you the best :)

  • @thunderd7904
    @thunderd7904 Год назад

    1:15:55 Basically what “learning” has now become.

  • @kiddcamel
    @kiddcamel Год назад

    Got my final in about 40 hours from now. near the second half I got completely lost in the course and relied a lot on help to get through the assignments...lets see how much I can understand until then, just need 40% to pass but aiming for higher. Will update when I get the mark back.

  • @terrible2d
    @terrible2d 4 дня назад +1

    Final in roughly 4 hours. Haven't studied at all. Gonna watch all videos and see how it goes.

    • @yunalee2437
      @yunalee2437 День назад

      What’s the update?

    • @curious_cat505
      @curious_cat505 20 часов назад

      did you make it?

    • @terrible2d
      @terrible2d 20 часов назад +1

      Got absolutely cooked. I didn't watch the last video because I fell asleep, but the first 2 videos were perfect for the 3/10 questions that were there on my test. The last lecture was 70% of my test and I didn't study it so expectably, I basically failed. If I were you, I'd watch all 3 videos.

    • @curious_cat505
      @curious_cat505 9 часов назад

      @@terrible2d you'll come back harder. quick q, are you a commmodore lol

  • @lisejl
    @lisejl 3 года назад

    great video!! saving my grade rn

  • @iyrg
    @iyrg 5 лет назад +3

    wish me luck on my midterm on saturday, thanks for everything :)

    • @LudusYT
      @LudusYT  5 лет назад +1

      Good luck!! I’m sure you’ll do great!!

    • @rubenramirez8062
      @rubenramirez8062 5 лет назад

      how did you do?

    • @iyrg
      @iyrg 5 лет назад

      @@rubenramirez8062 I dont know yet, but I expect 65/100 :)

    • @ifeanyiogbennaya6969
      @ifeanyiogbennaya6969 2 года назад

      @@iyrg what happened? Good or bad?

    • @iyrg
      @iyrg Год назад

      @@ifeanyiogbennaya6969 bro I will graduate soon :)

  • @davidsegovia6133
    @davidsegovia6133 Год назад +1

    my exam is in about 12.5 hours boys, wish me luck

  • @pocolocoJOJO
    @pocolocoJOJO 4 дня назад

    Bro imma cook this final like 100%

  • @antoniomele436
    @antoniomele436 5 лет назад +5

    Thank you! Just in time for my quiz tomorrow

    • @LudusYT
      @LudusYT  5 лет назад

      Antonio Mele - Awesome! What’s the topic?

    • @antoniomele436
      @antoniomele436 5 лет назад +1

      @@LudusYT 14.7 Max and Min values. I understand how to find local extrema well, but finding absolute extrema is kind of tricky.

    • @LudusYT
      @LudusYT  5 лет назад +1

      Antonio Mele - Gotcha. Eventually I’ll make a video that goes more in depth on that topic bc that’s something I wasn’t too sure about as well. I guess to check for absolute you just plug back in to the original equation.

  • @1tonibalone
    @1tonibalone 3 года назад

    Great video, hopefully these vids save me!!

  • @KhaosOfficialYT
    @KhaosOfficialYT 2 дня назад

    final run guys... good luck soldiers

  • @shock_wave0114
    @shock_wave0114 2 года назад

    THANK YOU! You are amazing!

  • @franciscocervera6091
    @franciscocervera6091 4 года назад +1

    At time 46:20, why do we add the derivative of r and theta? The function shows a comma, z=f(r,theta) and not and addition z=f(r + theta)?

  • @gaarvey
    @gaarvey 4 года назад

    Ur gonna get a that 100k plaque soon Ludus!!💪💪

  • @alexandrejuste5457
    @alexandrejuste5457 3 года назад +1

    Thanks a lot for the tutoring! P.S. Clairaut = Clay + Row

    • @LudusYT
      @LudusYT  3 года назад

      No problem!!! Also, thanks for helping w/ the pronunciation, my Calc teacher must’ve been pronouncing it incorrectly.
      Which syllable gets stressed? Is it CLAY-row or clay-ROW. I’m pretty sure I said cluh-ROW which is neither of those LOL.

    • @alexandrejuste5457
      @alexandrejuste5457 3 года назад +1

      @@LudusYT Lol, I think you actually said it correctly. The pronunciation is very abrupt on both "Clay" and "Row" on this name. No stresses on any syllable. :)

    • @LudusYT
      @LudusYT  3 года назад

      Ahh gotcha lol. Thanks!!

  • @lickerswalrus5781
    @lickerswalrus5781 3 года назад

    it is important to note that Clairaut's theorem is not absolute, there are certain exceptions.

  • @amandasalern0811
    @amandasalern0811 Год назад

    Playing this in my sleep. Hopefully the sleep-study thing is right

  • @spanishlanguageeducational3737
    @spanishlanguageeducational3737 4 года назад +1

    I like your sweatshirt. Thanks for the help with math!!!! (I need it)

  • @joshlazor6208
    @joshlazor6208 4 года назад +1

    I went through your final review and couldn't find any problems regarding the flux of an object? And my final is coming up in a week!

    • @LudusYT
      @LudusYT  4 года назад +1

      Sorry man. I never learned abt flux when I was in calc 3. I assume that has to do with vector calc (divergence & curl). If you need that, check out the part 3 video.

    • @jhboulder
      @jhboulder 3 года назад

      Flux is Stokes's Theorem

  • @oliviadenbuwilhelmsson55
    @oliviadenbuwilhelmsson55 2 года назад

    Really good! Thank you

  • @ansurya_school
    @ansurya_school 8 месяцев назад

    You are my GOAT

  • @joshlazor6208
    @joshlazor6208 4 года назад +1

    Hey Ludus, could you direct me to where I would find problems about the flux?

  • @CollinRaves
    @CollinRaves Год назад

    Random, but I noticed the 3x3 rubiks cube behind you, what's the highest order cube you can solve?

  • @alannafey
    @alannafey 2 года назад +1

    "Nobody really wants to sit through that and cram it in one night"
    me watching this the night before my exam

    • @nickkoteff4777
      @nickkoteff4777 Год назад

      did you pass? I got 2 days to study and it was either watch every single vid over again or watch these. Is it worth it?

    • @alannafey
      @alannafey Год назад

      @@nickkoteff4777 yes i highly recommend them, got an A in the class.. you got it!

  • @freddyhernandez3046
    @freddyhernandez3046 5 лет назад +24

    tik tok brought me

    • @LudusYT
      @LudusYT  5 лет назад +4

      Mr BurritoMan - Glad to have you on board!

  • @jhboulder
    @jhboulder 3 года назад

    On #3, we never stated the Domain which was requested as part of the problem. Is it just "t contained in all Real Numbers" ?

  • @erich3892
    @erich3892 5 лет назад +1

    THANK YOUU BRO

  • @jorgesalgado4941
    @jorgesalgado4941 7 месяцев назад

    Thank you

  • @wdbean2369
    @wdbean2369 7 месяцев назад

    I actually love lagrange multipliers so the slander is painful haha

  • @laurencepatterson5956
    @laurencepatterson5956 10 месяцев назад

    Why does the equation of a plane seem wrong, where is the x-x_0

  • @tamiabowers9805
    @tamiabowers9805 4 года назад +12

    Calc Final: 6 days
    Confidence: 6
    Brain Cells: maybe 2
    Windows: 5
    Fingers: 10...*confused mumbles*...yeah, 10 for sure
    tears: yes
    Grades: Don't ask
    GPA: Who can say
    This video: 5 stars
    Time wasted writing this: Not too sure
    Level of enjoyment currently: Immense

  • @dreama256
    @dreama256 3 года назад

    what is the formula B(t) for? We used all the other ones in question #4 but not that one.

  • @reygiansoriano2476
    @reygiansoriano2476 5 лет назад +3

    u r clutch

  • @ry3833
    @ry3833 3 года назад

    1:37:33

  • @donovanvoss9486
    @donovanvoss9486 3 года назад

    I wish I saw this earlier before I decided to drop 209

  • @NAli-qe2wk
    @NAli-qe2wk 5 лет назад +1

    exactly like me............

  • @ssmith65785
    @ssmith65785 2 года назад

    Great video. Terrible class. Exam is tomorrow 😥

  • @sophiachen1134
    @sophiachen1134 8 дней назад

    i love you.

  • @gavinsolomon6914
    @gavinsolomon6914 4 года назад +2

    Me watching this as a freshman in highschool..

  • @MonkoGames
    @MonkoGames 2 года назад

    oof my final is tomorrow

  • @mamatalama5713
    @mamatalama5713 4 года назад

    1:17:20 lmao

  • @jyl123
    @jyl123 2 года назад

    clutch

  • @GArya-wp8fc
    @GArya-wp8fc 6 месяцев назад

    thank you