Differential Equations: Final Exam Review

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  • เผยแพร่เมื่อ 16 ธ.ค. 2024

ความคิดเห็น • 230

  • @PatrickMoto97
    @PatrickMoto97 5 ปีที่แล้ว +243

    Bernoulli 0:00
    Homogenous 19:00
    Finding form Yc and Yp 29:00
    La Place 35:30
    Exact 44:45
    Variation of Parameters 52:40

    • @TheMathSorcerer
      @TheMathSorcerer  5 ปีที่แล้ว +28

      Thank you pinned this 😄

    • @alexanderquilty5705
      @alexanderquilty5705 4 ปีที่แล้ว +3

      Sweet! This is a really good overview for me because i’m taking Differential Equations right now over the summer. Final in 6 weeks 👍🏻😂 thank you again.

    • @Digger-Nick
      @Digger-Nick 4 ปีที่แล้ว +9

      @@TheMathSorcerer 7 months later, but I hope you still don't wipe the board with your hand and then grab your face. . . lol

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +2

      Lol!!!!

    • @h4z4rd28
      @h4z4rd28 3 ปีที่แล้ว

      @@Digger-Nick after 5 months i found this golden comment :D

  • @billh1337
    @billh1337 4 ปีที่แล้ว +356

    I think it’s cool when a math teacher is slightly eccentric. It really helps me stay focused and engaged for my studies.

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +34

      hmm, thanks lol:) glad it was helpful!

  • @emilyphilpott1890
    @emilyphilpott1890 3 ปีที่แล้ว +71

    YOUR TEACHING SKILLS !!!! >>>>
    Oh my word, I have never seen a college math professor explain ANYTHING on this level. It's beautiful. The way you wrote down y^6 = (u^(-1/5))^6 to help your student. The fact that you question yourself as you're doing it rather than answer condescendingly to questions. YOU. You, my friend, are a true sorcerer.

  • @TheBuddybro1
    @TheBuddybro1 5 ปีที่แล้ว +84

    You are easily one of the best teachers I have ever seen. You are enthusiastic and create an interactive learning environment with your students. It is great that we can hear the students questions and your explanations because many times I had similar questions. Thanks for your help and now I am going to ace my exam tomorrow

  • @garrisonrichmond2776
    @garrisonrichmond2776 5 ปีที่แล้ว +53

    Your explanation of Variation of Parameters was absolutely spectacular. It never made sense to me, even the second time taking the class, until I heard your explanation. I cannot express my thankfulness for this video - I have my final in 6 hours and I think you might’ve just helped me secure a solid final grade. I wish I’d discovered your channel much earlier - you definitely have a gift. Thanks again!!

    • @TheMathSorcerer
      @TheMathSorcerer  5 ปีที่แล้ว +7

      Thank you for the kind words! Good luck!!

  • @Lucasinbrawl
    @Lucasinbrawl 4 ปีที่แล้ว +138

    The atmosphere is so nice! Everybody wants to learn and questions are welcome...I'm more used to teachers making the students feel really dumb, not explaining stuff twice...or even once properly x)
    So nice class, really enjoyable

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +7

      Ya that was a good class!!

    • @VndNvwYvvSvv
      @VndNvwYvvSvv 3 ปีที่แล้ว +3

      Yeah, most math dept professors are stuck up, especially foreign ones. I think since they immigrated, they've taken everything much more seriously to be competitive, but it makes classes dry and more difficult to understand. Anyway, yes. It's nice when a professor can explain things in human terms rather than rigorous mathematical proofs.

  • @jacobharris5894
    @jacobharris5894 10 หลายเดือนก่อน +2

    I passed diff eq a long time ago but your lectures are a joy to watch. The excitement and passion for math bubbling up as your teaching is a beautiful thing.

  • @danielimbriaco7135
    @danielimbriaco7135 5 ปีที่แล้ว +32

    This professor actually explains diff eq, based on previous experience I didnt think that was possible.

  • @luckybubble8012
    @luckybubble8012 3 ปีที่แล้ว +12

    bruh this class is lit , the method he uses in learning and the energy ....

  • @matthewbowman7318
    @matthewbowman7318 4 ปีที่แล้ว +8

    I got a 96 on my Differential Equations final this year, all thanks to you

  • @shakefl
    @shakefl 5 ปีที่แล้ว +57

    Good luck everyone. Not in this class but I'm studying for the same exam!

  • @fernandogarciacortez4911
    @fernandogarciacortez4911 4 ปีที่แล้ว +12

    Man, what an excellent teacher you are! So involved, and it is outstanding how the class seems ~alive~. We need more like you.

  • @onpoint2292
    @onpoint2292 5 ปีที่แล้ว +10

    I'm not part of your class, but this lecture sped up the review process for me. You were about as clear and concise as my own Diff. Eq. professor, but introduced me to slightly different ways to execute Differential equation solutions (the tabular method as opposed to by parts, for example).
    Keep up your teaching style. It is effective!

  • @niallspotat0e823
    @niallspotat0e823 4 ปีที่แล้ว +3

    i love that i actually dont get bored reviewing this and i can just follow along easily

    • @jacobharris5894
      @jacobharris5894 3 ปีที่แล้ว

      I know he’s probably the most enthusiastic math teacher I’ve ever seen.

  • @westinerwin4733
    @westinerwin4733 3 ปีที่แล้ว +4

    This guys a mad man and I wish I was in his class.

  • @WeatherWorld
    @WeatherWorld ปีที่แล้ว +1

    I’m not even close to differential equations, only in Calc 2 rn, and your enthusiasm for mathematics and your high energy is super motivating and inspiring me to work on more math. Thankyou so much for all that you do! :)

  • @pedropassos_
    @pedropassos_ 4 ปีที่แล้ว +4

    My professor makes exams extremely hard for this class and this video clarified a lot! Thank you so much!!

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว

      You are welcome! I am so happy this video was able to help someone 😃

  • @Maggio97
    @Maggio97 ปีที่แล้ว

    I love this, when a student asks “a stupid question”(profs favourite word) you go on and recap explaining why, and I wish we had more teachers/profs like you! I was lucky enough to have a few and it’s the reason why my grade is high ! Keep up being amazing !!🎉

    • @MrSimmies
      @MrSimmies ปีที่แล้ว

      There are no stupid questions. Only stupid people who ask questions!

  • @Ben-pv9yh
    @Ben-pv9yh 11 หลายเดือนก่อน +2

    I love how excited the professor is. Thanks for this. I am starting a DefEq class next week and wanted some insight. I will definitely be coming back during the semester.

  • @cocotheloco3144
    @cocotheloco3144 2 ปีที่แล้ว +3

    came here to say that i passed my ED course thanks to you, amazing playlist

  • @SapereAude562
    @SapereAude562 3 ปีที่แล้ว +2

    The enthusiasm in explaining these awesome analytical human achievements should be a minimum pre-requisite for anyone teaching Math. Love you channel man, really happy to come across this great content (been growing my Math book collection thanks to you! ahah)

  • @djm6683
    @djm6683 4 ปีที่แล้ว +4

    it is time again to use this video! thank u Professor and good luck to everyone!

  • @hammersarchive904
    @hammersarchive904 5 ปีที่แล้ว +2

    Thank you, sir. You saved yet another soul. This helped me so much during finals.

  • @erikdurfey5576
    @erikdurfey5576 3 ปีที่แล้ว +5

    13:50 “It’s too early for parts.” 😂 I love it

  • @andreavillanuevalechuga2343
    @andreavillanuevalechuga2343 4 ปีที่แล้ว +4

    Congratulations for being such a great teacher.

  • @Neuhaw
    @Neuhaw 4 ปีที่แล้ว +1

    Sincerely, one of the best teachers

  • @tjmartin8261
    @tjmartin8261 4 ปีที่แล้ว +2

    My instructor refuses to answer my questions. It's been hard trying to learn this subject online with his videos. Plus he has a super thick accent. I have my first test tmrw. Fingers crossed. Thank you.

  • @gibson17155
    @gibson17155 4 ปีที่แล้ว +23

    Why am I watching this at 2:30 am? I never even took DiffEQ (stopped after calc 3 and linear algebra)

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +4

      Hahahahaha

    • @sebastianalmanza4756
      @sebastianalmanza4756 3 ปีที่แล้ว +1

      I effing wish, I’m cramming before my first test lol

    • @BaconBandage
      @BaconBandage 3 ปีที่แล้ว

      Maybe you secretly want to be a mathematician.

  • @cLRYY
    @cLRYY 4 ปีที่แล้ว +10

    Why am I watching this at 1 in the morning? Passed the exam last semester. Still fun to watch though.

  • @nsubugaisaac2569
    @nsubugaisaac2569 2 ปีที่แล้ว +1

    This is awesome....I'm so glad I stumbled over this channel cause I'm at point where I needed such tutoring. Thank you so much.

  • @josephkitchen3059
    @josephkitchen3059 4 ปีที่แล้ว +1

    I had a Dr Rion for ODEs. Kinda reminds me of him. Phenomenal professor.

  • @perditus_paradisus
    @perditus_paradisus 3 ปีที่แล้ว +1

    this video will be my savior during final

  • @fayeduddin3229
    @fayeduddin3229 3 ปีที่แล้ว +3

    If only I had a professor like this man here, sigh

  • @thepast7543
    @thepast7543 3 ปีที่แล้ว +1

    Thanks for this video. I am taking PDE this semester and forgot everything from ODE. Great Vid!!

  • @darioalfredoatochevela2021
    @darioalfredoatochevela2021 3 ปีที่แล้ว +2

    You are out of this world Sir! I really aprecciate lessons like this! Cheers man!

  • @danielleeggers1856
    @danielleeggers1856 4 ปีที่แล้ว +10

    I have an exam in 5 hours, found this just in time

  • @robertyoung701
    @robertyoung701 4 ปีที่แล้ว +2

    So much better than my differential equations TA. It was fun to watch you teach. :)

  • @MegaHellenkeller
    @MegaHellenkeller 3 ปีที่แล้ว +1

    You are such an engaging professor.

  • @Ap-ui6kk
    @Ap-ui6kk ปีที่แล้ว

    What an energetic teacher, , I wish I was in that class

  • @Rafael-je8hl
    @Rafael-je8hl 5 ปีที่แล้ว +2

    Taking this course though applied math dept @ CU Boulder! Final on Tuesday morning, Thanks!

  • @ClumpypooCP
    @ClumpypooCP 5 ปีที่แล้ว +18

    NOOOO if only you posted this yesterday! My differential equations final was yesterday! Oh well, Ill still watch for fun!

    • @TheMathSorcerer
      @TheMathSorcerer  5 ปีที่แล้ว +2

      Aww hopefully you did ok!!!:)

    • @ClumpypooCP
      @ClumpypooCP 5 ปีที่แล้ว +4

      @@TheMathSorcerer Thanks! I think I did pretty good...except for one horrible laplace transform question lol

  • @Taterzz
    @Taterzz 4 ปีที่แล้ว +2

    already took methods of applied math but this is a great review tool since it shares some of the same differentials.

  • @remnantzx5030
    @remnantzx5030 3 ปีที่แล้ว +1

    Honestly my excitement right now is im finally going to take calculus 1 but i watch this video to inspire me and excite me for differential equations after calc 2 and maybe calc 3?! 😀 super excited. Math is the drug i need to be high on this semester. (I dont get high on anything else).

  • @D.pietertje
    @D.pietertje 9 หลายเดือนก่อน

    15:14 you mentioned tabuylair or parts. I never heard of tabulair. But isnt tablair the exact same as parts but just more structuarly written down. It is the same essentially right?

  • @tauceti8341
    @tauceti8341 4 ปีที่แล้ว +1

    You Remind me of Cliff Stroll the Klein Bottle guy.
    I love you and cliff, you guys actually have excitement and energy when doing math.
    Not that boring monotonous tone, that sounds like proffs a robot.

  • @lorenzofransman1520
    @lorenzofransman1520 4 ปีที่แล้ว +2

    This playlist has been amazing! I'm still using it for my exam prep. I have my final exam next week for DE, so are there any last tips you're able to provide? I've been studying at least 8 hours a day, watching your vids, doing examples from the textbook and working through many questions from the exercises. I do feel quite confident about the exam but just want to get some advice :) All the way out from South Africa :D

  • @A.Hisham86
    @A.Hisham86 7 หลายเดือนก่อน

    Well, at 7:20 just divide by the first coefficient instead of multiplying.

  • @alexavinagre470
    @alexavinagre470 4 ปีที่แล้ว +3

    I'm just taking Calculus I, and I find this very interesting.

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +3

      oh wow that is awesome, this is a big step up from calc 1. That's cool you are actually watching and understanding some of this stuff. Calc 2 is a big pre-req for this type of stuff.

    • @alexavinagre470
      @alexavinagre470 4 ปีที่แล้ว +2

      The Math Sorcerer Thank you! I'm planning on getting my Ph.D in Mathematics or Computer Science to start teaching at the college level.

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +1

      Very nice!!!

    • @jacobharris5894
      @jacobharris5894 3 ปีที่แล้ว +1

      The Math Sorcerer Yeah it is. We had a little sneak peak into differential equations in my calc 1 class though which was pretty cool. Some of the other students were upset because it wasn’t part of the curriculum with other professors and it was on a test and the final but I thought they were fun to solve.

  • @Richard-xp2xr
    @Richard-xp2xr 4 ปีที่แล้ว +2

    Fourier is so cool, hope he teaches a lecture on that

  • @violaisreallycool
    @violaisreallycool 4 ปีที่แล้ว +1

    You seem like such an awesome teacher!

  • @thetheoreticalnerd7662
    @thetheoreticalnerd7662 4 ปีที่แล้ว +1

    This was quite fun to watch! Thanks for posting this video to TH-cam :)

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว

      You are welcome!

    • @thetheoreticalnerd7662
      @thetheoreticalnerd7662 4 ปีที่แล้ว

      Wow what a quick response XD Anyway, I am 12 studying Diff. EQ and it is really satisfying, especially when it is explained very well!

  • @LucazVlogz
    @LucazVlogz 4 ปีที่แล้ว +2

    bruh the sorcerer might be using some magic powder, the energy my guy.

  • @mathematicalabhay
    @mathematicalabhay 3 ปีที่แล้ว

    Sir I m from india .. ur teaching skill is very . . I m doing masters in. Mathematics

  • @ethanmasson3963
    @ethanmasson3963 4 ปีที่แล้ว +2

    just finished calc 1 with an A. Last math class I am ever gonna take, thought it would be fun to watch this and see if i could understand anything. I understood the chain rule, so i got something lmfao.

  • @christopherrosson2400
    @christopherrosson2400 2 ปีที่แล้ว +1

    This is a very good video. Thank you

  • @ohkkai
    @ohkkai 3 ปีที่แล้ว

    I am in Calc 1 & I didn't understand almost anything u said but I had fun watching u so exited about math :).. I was like *Insert Mike wazasuski faces*

  • @yeseniaflores4655
    @yeseniaflores4655 4 ปีที่แล้ว +14

    Why can’t all professors be like this omg

  • @CollectorsTree-ge6zy
    @CollectorsTree-ge6zy 7 หลายเดือนก่อน

    You seem like you just had red bull for the first time ever, and I'm all for it!

  • @lucastyler5549
    @lucastyler5549 3 ปีที่แล้ว

    28:00 would you have an initial parameter in order to solve for Y? Thanks

  • @GenuinePeacefulTimes
    @GenuinePeacefulTimes ปีที่แล้ว

    Hey wondering whether you have any videos on Section 4.7: Cauchy Euler Equations, Section 4.9: Solving Systems of Linear DEs
    (Elimination), Section 5.1: Linear Models: Initial-Value Problems, Section 5.2: Linear Models: Boundary-Value
    Problems, Section 7.2: Invers Transform & Transform of Derivatives, Section 7.3: Operational Properties, Section 7.4: Operational Properties II, Section 7.5: The Dirac Delta Function and Section 7.6: Systems of Linear DEs ?

  • @tauceti8341
    @tauceti8341 4 ปีที่แล้ว +2

    5:40 shoot
    ohh okay, duh, solved Y for U that's where he comes from.
    6:25 haha he got a bit confused as I did XD
    7:40 Damn that's solid, forgot that exponent rule lol
    8:40 haha student forgot same exponent rule I did :P
    9:10 Oooooh shiiiit, lol Integrating factor, gonna need to review that section aswell
    10:00 Dang I think that LA problem woulda been a juicy one to get ready for this steak-meat :-D
    11:00 Good Question: about p and e. If it du/dx U sub is with respect to x, if it were du/d0 it would be with 0, or du/dt it would be with respect to t. Cool beans my dude!
    14:00 Tabular, derivative of 5 is 0
    14:35 Partial credit? My physics prof never heard of that word before.
    18:25 Circle back to P(x)

  • @theincrediblejumana9288
    @theincrediblejumana9288 4 ปีที่แล้ว +1

    MAN YOU ARE LEGEND 🔥👏

  • @centralprocessingunit2564
    @centralprocessingunit2564 4 ปีที่แล้ว +1

    brilliant. need more of this.

  • @prestenikoseptirahadian9607
    @prestenikoseptirahadian9607 3 ปีที่แล้ว

    What a great lecture video. Wish I could have a chance to be lectured by the real math sorcerer :D

  • @firstevidentenigma
    @firstevidentenigma 3 ปีที่แล้ว +2

    You're a SUCH better teacher than my diff e prof was. Respect. I had to argue with him in his office about a Wronskian problem that was mis-graded on the final. lol

  • @neurospizz75
    @neurospizz75 4 ปีที่แล้ว +1

    I'm confused and I don't care. This is fun to watch

  • @joshwoods7207
    @joshwoods7207 4 ปีที่แล้ว +1

    I am currently in my first year of university in the UK (about to go into 2nd year) I wanted to ask about masters and PhDs as that is my big goal, I know it's a long way off but do you think that if you put the work in that anyone can do a masters or PhD? I always keep thinking to myself that when I struggle on simple things or I see a proof method which I would never have thought of which seems very obvious then it brings me down as most of my class understand it well. I have quite a short term memory, I understand things very quickly but also easily forget important details. I just want to think realistically about if the average person can get one. I did pass year 1 with a first class but trying not to get ahead of myself as that was the 'easy year'

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว

      Well I would say continue pushing through it. If you can do well in the more advanced classes like advanced calc, abstract algebra, topology, etc then you got this.

    • @joshwoods7207
      @joshwoods7207 4 ปีที่แล้ว

      @@TheMathSorcerer okay thank you! I will keep at it for sure, do you have any advice on how to learn analysis efficiently? I start it next month, I have lots of books on it, but it's a lot to take in, just don't really know how to approach a lot of the proofs.

  • @neurospizz75
    @neurospizz75 4 ปีที่แล้ว +1

    In one of your other videos you said just use Wolfram alpha.

  • @brandonfox9618
    @brandonfox9618 3 ปีที่แล้ว

    I just had a differential equations exam and on the last question of the method of undetermined coefficients, I accidently wrote down the "particular solution" as my final answer instead of the "general solution". The pieces were there but I forgot to incorporate them together. This is what happens with me and exams!

  •  3 ปีที่แล้ว

    Why didn't I discover this channel 1 month ago? :( I'll probably fail for my finals two day later from now, thanks to yt algorithm not showing this on time

  • @enesenes1238
    @enesenes1238 10 วันที่ผ่านมา

    That's enjoyable and teachable

  • @mathadventuress
    @mathadventuress 3 ปีที่แล้ว

    Sir you didn’t do power series or Laplace transforms
    I see on pinned la place

  • @Crashwave321
    @Crashwave321 ปีที่แล้ว

    Thank you. Not just for the excellent math, but for calming my nerves lol

  • @matthewsarsam8920
    @matthewsarsam8920 11 หลายเดือนก่อน

    Great professor fr

  • @briendamathhatter816
    @briendamathhatter816 4 ปีที่แล้ว +2

    We never did a Bernuoulli for some reason

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +1

      that's actually really weird:) I know you did some other stuff thiough that I don't do I think, strange!!

  • @hayin2041
    @hayin2041 ปีที่แล้ว

    is system of linear differential equations generally included in a differential equations course because I want to skip it

  • @minhtam5051
    @minhtam5051 3 ปีที่แล้ว

    I like the atmosphere in the class.

  • @Eliasguitarred
    @Eliasguitarred 4 ปีที่แล้ว +1

    Man I wish this was my differential equations course, I'll have to re-take it this semester, plus its gonna be online so... yai

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +1

      Fun times lol. You got this though man!

    • @Eliasguitarred
      @Eliasguitarred 4 ปีที่แล้ว

      @@TheMathSorcerer thanks! I really wanna learn as much theory as I can regarding diff ecs. I know I can ace the course!

  • @royxale
    @royxale 3 ปีที่แล้ว

    where is 4.2 reduction of order in the playlist sir i am begging

  • @rudrabanerjee1949
    @rudrabanerjee1949 2 ปีที่แล้ว +1

    Imagining if my Teacher kept the same environment in his Class XD :)

  • @marshallsmith619
    @marshallsmith619 4 ปีที่แล้ว +1

    Nooooooo! This is great but I need 7.6 :'( I'll definitely come back before the final.

  • @jamestrujillo5195
    @jamestrujillo5195 4 ปีที่แล้ว +2

    If you're confused, just memorize it😭😂😂😂😂😂😂😂😂

  • @sarahmalik8475
    @sarahmalik8475 15 วันที่ผ่านมา

    I would love to see those review questions, with my whole chest I wanna see it

  • @valor36az
    @valor36az 4 ปีที่แล้ว +2

    The review scared me I’m not even taking the exam

  • @kas.10th
    @kas.10th 3 ปีที่แล้ว +1

    Amazing lecture! Dude looks like Jeff Bezos with hair

  • @DuyTran-pt1bw
    @DuyTran-pt1bw 4 ปีที่แล้ว +1

    I am curious which institution do you teach at ?, sir.

  • @Govgrav506
    @Govgrav506 3 ปีที่แล้ว

    out of curiosity, are you teaching pdq? If so, is there a review for it?

  • @EngineersCalculatorTechnique
    @EngineersCalculatorTechnique 4 ปีที่แล้ว +1

    wow thank u sir😯😯😯

  • @erikawimmer7908
    @erikawimmer7908 3 ปีที่แล้ว +1

    Man I am little proud of myselfe that i understand this.(I am only 14 and from germany)

  • @Esclave_d_Allah
    @Esclave_d_Allah 2 ปีที่แล้ว

    You are the best

  • @yashboru3337
    @yashboru3337 3 ปีที่แล้ว +1

    Why am I watching this at 2:02am after having passed all my calculus tests a year ago?

    • @TheMathSorcerer
      @TheMathSorcerer  3 ปีที่แล้ว

      haha that's awesome

    • @yashboru3337
      @yashboru3337 3 ปีที่แล้ว +1

      @@TheMathSorcerer Yes, I find you really entertaining and educational, wish I had professors like you! Keep it up! :D

  • @noobLOL77
    @noobLOL77 4 ปีที่แล้ว +2

    anyone else here wishing their final was this easy?

  • @LucaPasciuta
    @LucaPasciuta 2 ปีที่แล้ว

    I know love is a strong word… BUT I LOVE YOU

  • @lukegallenkamp419
    @lukegallenkamp419 4 ปีที่แล้ว +1

    Real question, why does he look like Danny Carey if he didn’t play drums and instead focused all that energy into becoming an excellent math professor?

  • @rickrolled3261
    @rickrolled3261 5 ปีที่แล้ว

    what book are these questions from?

    • @TheMathSorcerer
      @TheMathSorcerer  5 ปีที่แล้ว +1

      Differential Equations by Zill. It's a pretty good, decent. Here is my review on it:th-cam.com/video/M6o3Sp-LeJo/w-d-xo.html&

  • @ageualves704
    @ageualves704 ปีที่แล้ว +1

    *Laplace

  • @HeyKevinYT
    @HeyKevinYT 4 ปีที่แล้ว +1

    17:18

  • @ImPrismuh
    @ImPrismuh 5 ปีที่แล้ว +1

    If at all possible could you please just have the camera focus on the board rather than delayed panning following you

    • @TheMathSorcerer
      @TheMathSorcerer  5 ปีที่แล้ว +1

      no because then I can only use one board

    • @ImPrismuh
      @ImPrismuh 5 ปีที่แล้ว +2

      The Math Sorcerer okay I got ya. Regardless this was a very informative video thank you for your hard work!

  • @evanpotvin4492
    @evanpotvin4492 3 ปีที่แล้ว +1

    goddamn wish this dude was my diff professor.

  • @alexm9141
    @alexm9141 5 ปีที่แล้ว +2

    bless up