What are the big ideas of Multivariable Calculus?? Full Course Intro

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  • เผยแพร่เมื่อ 3 ม.ค. 2025

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  • @Stefabro
    @Stefabro 3 ปีที่แล้ว +749

    I genuinely believe the world would be a better place, if all educators had this level of passion in their work:)

    • @cumsock2085
      @cumsock2085 3 ปีที่แล้ว +3

      Yeahhhh instead we have the public school system. Very pawg

    • @reidflemingworldstoughestm1394
      @reidflemingworldstoughestm1394 3 ปีที่แล้ว +3

      Fortunately for us, the is a better place because math.

    • @DannySullivanMusic
      @DannySullivanMusic 2 ปีที่แล้ว +1

      this comment is totally, totally true dude

    • @callisaid
      @callisaid ปีที่แล้ว +1

      Teachers or instructors need better pay

    • @yuvtrehan7047
      @yuvtrehan7047 ปีที่แล้ว

      Sir u are wayy>>>>>>> the BEST COLLEGE IN INDIA , FKIN IITs , i am rn sitting in the classroom of the top IIT of india and fkin watchin this lecture cause this is how i expected people to teach here , thanks alot to YT algo that i found u ,

  • @fredsmith894
    @fredsmith894 4 ปีที่แล้ว +174

    This mas is VERY INTERESTED in math. He makes me wonder what is so interesting about math to make this man so enthusiastic about math.

    • @azrap1054
      @azrap1054 3 ปีที่แล้ว +7

      secrets of the universe man

    • @lameiraangelo
      @lameiraangelo 3 ปีที่แล้ว +7

      Max Tegmark: "The universe is not only described with mathematical properties, but the universe only has mathematical properties"

    • @Convexhull210
      @Convexhull210 3 ปีที่แล้ว +1

      @@lameiraangelo what do you mean by has mathematical properties?

    • @lameiraangelo
      @lameiraangelo 3 ปีที่แล้ว +1

      @@Convexhull210 Search for Mark Tegmark on TH-cam.

    • @faismasterx
      @faismasterx 2 ปีที่แล้ว

      @@lameiraangelo That sounds like a nice soundbite, but we, too, are part of the universe, and not everything about us can be explained or modelled mathematically.

  • @DiamondCraft2000
    @DiamondCraft2000 4 ปีที่แล้ว +21

    I’ve had an in class with this guy. By far the best teacher I’ve had. He is at the University of Cincinnati btw. Miss you Trefor!

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว +16

      I've actually sadly left UC to go back home to Canada and now am at the University of Victoria. Miss all you guys a lot though:)

  • @sashamuller9743
    @sashamuller9743 4 ปีที่แล้ว +64

    i like that you show visuals because many teachers do not do this even with large amounts of technology at out our disposal today so thank you!

  • @bv6257
    @bv6257 3 ปีที่แล้ว +11

    This man made my life so much better. I wish all good health sir. We need more guidance from you. Love from Miami.

  • @amritas2400
    @amritas2400 4 ปีที่แล้ว +102

    15:35 "I really love multi-variable calculus..."
    At last, I found a math professor who loves what he does.

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว +29

      That’s so important imo!

    • @wantedq8332
      @wantedq8332 3 ปีที่แล้ว +5

      There is no math professor who doesn't like what he's doing.

    • @chinsoon1231
      @chinsoon1231 7 หลายเดือนก่อน +1

      @@wantedq8332 haha exactly what i thought when i read it.... people who become math professor have unrivalled passion for math and its not an area for the faint-hearted who have no clue what they're doing

    • @PrajjuPrajju-ci3zy
      @PrajjuPrajju-ci3zy 5 หลายเดือนก่อน +1

      same feeling bro . lots of love sir @DrTrefor

  • @nicken._.chuggets
    @nicken._.chuggets ปีที่แล้ว +5

    watching this as a beginner 3-d modeler and game dev made me realize the mechanics behind the models and systems unity, blender, and other programs used to make games implement with multi. very excited to learn

  • @tomaszsidorczuk7784
    @tomaszsidorczuk7784 2 ปีที่แล้ว +4

    I am 67 yerars old and it is Mr. Bazett who is helping me to rediscover and enjoy mathematics

  • @ramchillarege1658
    @ramchillarege1658 2 ปีที่แล้ว +3

    You are a gifted teacher. I just ran into courses trying to recap stuff to teach my daughter. I had the "worst" "multi-function" course every taught.. it was then called "functions of several variables" - a few decades ago. Now, I know what I missed. Will try to make time and listen to your classes.

  • @rahul2000
    @rahul2000 3 ปีที่แล้ว +6

    u r the best maths teacher i have ever met in my life

  • @investdmo
    @investdmo 4 ปีที่แล้ว +90

    The best introduction ever and I really wish I had introduction like this before. Makes much much more sense when we can visualize them!

  • @conviction3000
    @conviction3000 4 ปีที่แล้ว +8

    I am learning calculus myself. This video gives me an very useful big picture for how to understand calculus. Thank you so much.

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว +3

      Glad it was helpful!

  • @SumitKumar-r3u5p
    @SumitKumar-r3u5p 3 หลายเดือนก่อน +2

    I literally felt the power of teaching in this world!!!

  • @trinity3460
    @trinity3460 ปีที่แล้ว +4

    I found this introduction to be quite helpful. I am trying to learn some content before the semester begins, and I find that your videos break things down really well. Thank you!

  • @abrahamsweetvoice7687
    @abrahamsweetvoice7687 4 ปีที่แล้ว +308

    It seems like my graduation from university pretty much depends on youtube. I don't know if it's a good or bad thing.

    • @abrahamsweetvoice7687
      @abrahamsweetvoice7687 4 ปีที่แล้ว +3

      @@DrTrefor thanks. Keep up the good videos. May you also make a video about sequences and series ?

    • @donlansdonlans3363
      @donlansdonlans3363 4 ปีที่แล้ว +4

      @@abrahamsweetvoice7687 he already has made them :D

    • @harshitgarg5818
      @harshitgarg5818 4 ปีที่แล้ว

      same here

    • @chandrakantpandey1925
      @chandrakantpandey1925 4 ปีที่แล้ว

      @@donlansdonlans3363 can you please tell me the playlist for sequence and series by @Dr. Trefor

    • @zinasantana
      @zinasantana 3 ปีที่แล้ว

      I feel you

  • @aytakshams7595
    @aytakshams7595 ปีที่แล้ว +2

    this playlist was the reason I passed Calculus, Thank you so much , keep the amazing work

  • @kitgary
    @kitgary ปีที่แล้ว

    I finally understand why people said knowledge can change your life! Thanks x 10000 times!

  • @lolsopal
    @lolsopal 4 ปีที่แล้ว +2

    I watched these video series during my multivariable/vector calculus course and now im going to watch them both all over again

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว +3

      Hope you enjoy!

  • @andreasradler1744
    @andreasradler1744 3 ปีที่แล้ว +6

    It's just great how you say a tangent "kisses" a curve. That's an adorable perspective on maths. :D

  • @freshely9309
    @freshely9309 3 ปีที่แล้ว +9

    Thanks again for another great video! I'm getting a head start before my multivariable and ordinary diff equation classes start! I bet I will learn better with 5 videos of you than 20 lectures from them! keep it up :D

  • @robertjr8205
    @robertjr8205 2 ปีที่แล้ว

    I wish I found this sooner at the beginning of my damn calculus 3 class. Would help me actually visualize what I’m doing. Thank you so much!

  • @shutupimlearning
    @shutupimlearning 2 ปีที่แล้ว +2

    this playlist is literally saving my grades

  • @alexdotdash7731
    @alexdotdash7731 2 ปีที่แล้ว +1

    I am going to be taking this in high school next year and are very exciting after watching this video!

    • @DrTrefor
      @DrTrefor  2 ปีที่แล้ว +1

      Good luck!

  • @gonderage
    @gonderage 4 ปีที่แล้ว +11

    I tried learning mvc with brilliant.org, but I feel I need some supplementary instruction, so I choose your series, you really sound like you're interested in what you're teaching.

    • @Sspectator
      @Sspectator 4 ปีที่แล้ว +3

      You too? I've been stuck with their intuition into the Hessian using a function microscope and rotating the coordinates via matrices. Everything beforehand was going smoothly, but I swear, they expect you to know some of the stuff that they "teach" beforehand which is really aggravating.

  • @ermweezer
    @ermweezer 3 ปีที่แล้ว +2

    I was alright calculus 1 but had a really awful calculus 2 professor and felt like I learned nothing, watched this to prepare myself and I feel a bit better about the concepts I'll be learning about next semester :)

  • @sroydetroy6404
    @sroydetroy6404 ปีที่แล้ว +1

    Holy mother of cow- I just noticed that he has a complete and infinite series in which he describes multivariable Calculus...
    Now that my friends is something you HAVE to appreciate....

  • @pulverizedpeanuts
    @pulverizedpeanuts 8 หลายเดือนก่อน +2

    this is...just beautiful, i'm gonna love the rest of it

  • @aoconnor2933
    @aoconnor2933 ปีที่แล้ว +1

    I just passed my Calc2 exam and class! Technically, for my major, I do not need to go further... but I want to now (so I'm looking ahead)! I have enjoyed your videos, and they were helpful in my success getting through Calc 2. Thank you!

    • @DrTrefor
      @DrTrefor  ปีที่แล้ว +2

      hey congrats that's awesome!

  • @milanimorales2645
    @milanimorales2645 ปีที่แล้ว

    I am not even an engineer major but I like listening to this to help me sleep. I hope that’s received well bc it’s the material that helps make your brain niiiice and tired.

  • @JavArButt
    @JavArButt 3 ปีที่แล้ว +9

    I really liked the introduction - your enthusiasm is contagious (no reference to Covid-19 :D)

  • @thetrading7812
    @thetrading7812 3 ปีที่แล้ว +1

    His excellency Dr. Bazett. It's an humble request to you please add a course on Numerical Analysis.

  • @kylevebar3909
    @kylevebar3909 3 ปีที่แล้ว +4

    This is so cool! I can’t wait to take this class in the fall.

  • @faismasterx
    @faismasterx 2 ปีที่แล้ว +1

    Wish I had you as my calc 3 prof. Mine was so useless that I had to learn everything on my own. Wasn't as hard as I thought. The leap from from single variable to multi-variable calculus isn't as difficult as I had anticipated.

  • @boogychan
    @boogychan 3 ปีที่แล้ว +2

    Thank God, this series exist... 🥺✨🤗

  • @CaliRATZ
    @CaliRATZ 4 ปีที่แล้ว +4

    Thank you so much, Professor, you really saved my life.

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว +3

      You are welcome!

  • @amadif1793
    @amadif1793 4 หลายเดือนก่อน

    Starting calc 3 tomorrow. This was a great intro!

  • @amitroy-k9j
    @amitroy-k9j 3 หลายเดือนก่อน +1

    i love this course . thanks for your effort and love

  • @janjohnson321
    @janjohnson321 4 ปีที่แล้ว +10

    Perfect timing to be making these! You're awesome!! nowadays teachers don't teach.

  • @raunitsingh676
    @raunitsingh676 4 ปีที่แล้ว +1

    Now that's what I call teaching. INCREDIBLE!

  • @tara555100
    @tara555100 3 ปีที่แล้ว +4

    Brilliant video! Surely brought more sense of mathematics to me. Keep up the good work!

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +1

      Thanks, will do!

  • @AlexNH56
    @AlexNH56 2 ปีที่แล้ว +1

    Okay now this was the best recommendation I’ve had in a while. Thank you for the class. Not sure what I’ll need this for but thank you so much for the information!

  • @ph4nt0m36
    @ph4nt0m36 2 ปีที่แล้ว +2

    Going to be using the video series to compile notes before taking MV calc. Thank you for all your hard work.

  • @yaya_papaya00
    @yaya_papaya00 4 ปีที่แล้ว +1

    our professor made us watch this video as an intro to our course in multi-variable calc, I wasn't worried before but now I am,,,will probably be relying on this channel to get me through this quarter 😫

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว +1

      haha well good luck! Which university or college are you at?

    • @yaya_papaya00
      @yaya_papaya00 4 ปีที่แล้ว

      @@DrTreforUCSD

  • @Informath-zj4en
    @Informath-zj4en ปีที่แล้ว

    I am thankful for your genuine passion and making my day

  • @Rahat2056
    @Rahat2056 4 ปีที่แล้ว

    This strikes fear into my heart. You are a brave man for conquering this beast.

    • @Rahat2056
      @Rahat2056 4 ปีที่แล้ว

      @@DrTrefor I'll take your word for it. I have less than a month left to prepare for this oncoming battle with Calc 3, but your channel seems to be a promising resource I luckily found.

  • @randoomly39484
    @randoomly39484 2 ปีที่แล้ว +1

    What a wonderful Multivariable Calculus intro ! Can't thank u enough sir !

  • @taka4059
    @taka4059 4 ปีที่แล้ว +37

    TH-cam recommendations, we meet again.

  • @tho_norlha
    @tho_norlha 3 ปีที่แล้ว +2

    This is awesome, I’m planning to get a 6/6 in multivariable calculus, I have 7 weeks to make that happen let’s gooo !!!

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +1

      You can do it!

  • @baawlaaw164
    @baawlaaw164 2 ปีที่แล้ว +1

    I can't explain my appreciation that I have for you! Keep going! Really genuis

    • @DrTrefor
      @DrTrefor  2 ปีที่แล้ว +1

      Thank you! Will do!

  • @khbye2411
    @khbye2411 4 ปีที่แล้ว +6

    Thank you so much the visuals help a lot!!

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว +1

      I’m so glad they helped!

  • @dineshkumarv9493
    @dineshkumarv9493 2 ปีที่แล้ว +1

    11:20 First time I am learning about multivariable calculus by watching ur video. The optimization under that circle constraint blow up my mind. Multivariable calculus is Beautiful ya😍💥

  • @vivekracing
    @vivekracing ปีที่แล้ว

    The 3d plots are very nice. It helps in understanding the concept better.

  • @devrajyaguru2271
    @devrajyaguru2271 2 ปีที่แล้ว +1

    Thank you Sir from bottom of my heart, really your lectures changed my life. 😊

  • @karanveercheema2975
    @karanveercheema2975 2 ปีที่แล้ว +1

    went through the entire playlist, great vids

    • @DrTrefor
      @DrTrefor  2 ปีที่แล้ว +2

      Awesome, glad you enjoyed! Calc IV up next!

  • @Limbaugh_
    @Limbaugh_ 2 ปีที่แล้ว +1

    Very thankful I’m not a fourth dimensional being studying 4D calculus

    • @carultch
      @carultch ปีที่แล้ว

      There are applications of 4-dimensional calculus to our universe. Such as general relativity.

  • @pinsaramallawarachchi8201
    @pinsaramallawarachchi8201 3 หลายเดือนก่อน

    Very helpful video, this channel has always been very helpful for me in my math journey

  • @ricardobautista-garcia8492
    @ricardobautista-garcia8492 4 ปีที่แล้ว +2

    You helped me get an A in calculus 2, I look forward to preparing for my multivariable course with this playlist.

  • @vaibhavkumar7745
    @vaibhavkumar7745 3 ปีที่แล้ว +19

    I don't find a reason, why your videos have only 30K-40K views. You are doing a great task man, by building our intuition with these 3d animations. Hopefully, things will change in future. :)

  • @ramanivisvanathan6149
    @ramanivisvanathan6149 2 ปีที่แล้ว

    A very rich introduction to multivariable calculus.

  • @TXP9
    @TXP9 4 ปีที่แล้ว +17

    3:15 so my pug’s curly tail is a function of multi variable calculus?

  • @tıbhendese
    @tıbhendese 4 ปีที่แล้ว +1

    there is subtitles needed for different people around the world. Hi from the Turkey

  • @ramnareshdara5203
    @ramnareshdara5203 4 ปีที่แล้ว +2

    lots of respect and love from India

  • @diegogalvez2092
    @diegogalvez2092 2 ปีที่แล้ว

    I'm still in Calculus I, but I was just wondering what to look forward to in the future. Thank you.

  • @sergiolucas38
    @sergiolucas38 3 ปีที่แล้ว +1

    what an introductory video, the images make things much easier to understand :) very nice video.

  • @Mark-IamNum1
    @Mark-IamNum1 2 ปีที่แล้ว

    I am not sure if there is a book these lectures are following, but after each lecture a few questions with solutions on the topic covered in the lecture would be golden

  • @have_a_nice_day399
    @have_a_nice_day399 2 ปีที่แล้ว +1

    Your videos are addictive..

  • @taylorcurran2362
    @taylorcurran2362 2 ปีที่แล้ว +1

    Wow, I'm suddenly somehow really excited about the next 2 months of my life

  • @yaswanthchowdary5167
    @yaswanthchowdary5167 3 ปีที่แล้ว +1

    I was looking for content like this😌
    Thank you!
    Good visuals...

  • @sai4007
    @sai4007 ปีที่แล้ว +4

    Amazing content ❤ Your mastery in giving succinct but fully explanatory details with edge cases, salient things to remember etc is really awesome.

  • @gyansagar9118
    @gyansagar9118 ปีที่แล้ว +1

    i would just say : love you sir from Bharat

  • @moth36
    @moth36 3 ปีที่แล้ว +1

    This course will be very helpful in differential geometry

  • @jamesbrown6960
    @jamesbrown6960 2 ปีที่แล้ว +1

    really enjoyed the graphics with explanation.

  • @amansingh-ww2qc
    @amansingh-ww2qc 3 ปีที่แล้ว +1

    I will talk about this channel to all my friends

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +2

      Appreciate that!

  • @Robert-jy9jm
    @Robert-jy9jm 3 ปีที่แล้ว +1

    This is simply excellent!

  • @mayonaise3289
    @mayonaise3289 2 หลายเดือนก่อน +1

    13:43 he wanted to yarn and talk at the same time

  • @NAUSHADKHAN-ij9ce
    @NAUSHADKHAN-ij9ce 4 ปีที่แล้ว +1

    hell yeah !, now it is an nteresting topic .Ur a gem sir. visualising things makes complex concepts very easy.😊

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว

      Glad you’re excited, multivariable calc is awesome!

  • @douglasstrother6584
    @douglasstrother6584 2 ปีที่แล้ว

    zed ... I'll have to check out your lectures on Complex Analysis!

  • @ferjmz2932
    @ferjmz2932 2 หลายเดือนก่อน

    As soon as i thought "man why you calling it zed" you explained it 😂😂 perfect timing

  • @MahmoudMohamed-gu2mh
    @MahmoudMohamed-gu2mh 3 ปีที่แล้ว +1

    oooh man, you are a mazing teacher

  • @jackiee_hoo
    @jackiee_hoo 3 ปีที่แล้ว +1

    You are simply amazing sir 🙏🏼🙏🏼🙏🏼

  • @zuhaibrashidbangroo5413
    @zuhaibrashidbangroo5413 3 ปีที่แล้ว +3

    VERY GOOD INTRO, you could have talked about level curves also

  • @jaylencalinaw1080
    @jaylencalinaw1080 2 ปีที่แล้ว +1

    for the first time in my life im learning calculus without simply imagining its visualization.

  • @vishalthaware6372
    @vishalthaware6372 3 ปีที่แล้ว +1

    Thanks form india🇮🇳

  • @akshatkumarmishra424
    @akshatkumarmishra424 3 ปีที่แล้ว +1

    great work man, i just subscribed!!

  • @gabedarrett1301
    @gabedarrett1301 3 ปีที่แล้ว +1

    You are a godsend!! Glad I subscribed!

  • @continnum_radhe-radhe
    @continnum_radhe-radhe 3 ปีที่แล้ว +2

    Thank you soo much sir this video is really awesome 🔥🔥🔥.....
    Feeling good after seing this...

  • @marifrystine1460
    @marifrystine1460 4 ปีที่แล้ว +6

    thanks sir, may your knowledge improve more and and more as you share your knowledge more and more

  • @sakethsreeni
    @sakethsreeni 4 ปีที่แล้ว +3

    Calculus I,II---bruce banner
    Calculus III----HULK

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว +3

      Calculus IV -- Thanos

    • @sakethsreeni
      @sakethsreeni 4 ปีที่แล้ว

      @@DrTrefor I'm already scared sir!!!xD

  • @samwho1731
    @samwho1731 2 ปีที่แล้ว +1

    Zed??? Yeah, fellow Canadian here.
    Love hearing that

  • @mallninja9805
    @mallninja9805 2 ปีที่แล้ว +1

    From now on I'm going to pronounce the letter "t" as "ted". Take that, Canadian!
    Seriously though, this is wonderful. Thank you :D

    • @carultch
      @carultch ปีที่แล้ว

      Americans are the outliers on this one. The rest of the Anglosphere calls it zed, including the homeland of the English language.

  • @Sspectator
    @Sspectator 4 ปีที่แล้ว +2

    Greetings, Trefor. Do you plan on creating videos for a vector calculus course? I need to freshen my memory on the topic, and I'm sure many people out there including myself would benefit from your teaching abilities.

  • @lesliegilbert5179
    @lesliegilbert5179 8 หลายเดือนก่อน

    In the slide about 2.5 min in, you should add a comment that z = h(t) not another g(t). Great videos, though!! Thank you!

  • @johnlary8792
    @johnlary8792 ปีที่แล้ว

    At 10:1, Dr. Bazett mis-speaks and says, "something that didn't come up in MULTIvariable calculus" when he means "something that didn't come up in SINGLE variable calculus." I love Dr. Bazett's way of explaining things. Wish he had been my calculus professor.

  • @haovnyk
    @haovnyk 4 ปีที่แล้ว +1

    Im starting your course now and am hoping to pass the exams in January! 😊

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว

      You can do it!

  • @sriharsha7709
    @sriharsha7709 4 ปีที่แล้ว

    thank you for taking time in making these videos

  • @MichaelOfRohan
    @MichaelOfRohan หลายเดือนก่อน

    Honestly taking physics 2 before calc 3 is starting to look like it was a really good idea.

  • @jacklam5658
    @jacklam5658 ปีที่แล้ว

    amazing!
    jack lam from Hong Kong

  • @rishabhchadha3652
    @rishabhchadha3652 3 ปีที่แล้ว +1

    Love your passion!

  • @tmpace9
    @tmpace9 4 ปีที่แล้ว +52

    You know It's going to be a bad time when your, at most, 28 year old online tutor already has grey hair :(

  • @The_Engineer
    @The_Engineer 3 ปีที่แล้ว +1

    thank you, all your videos are awesome