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

Поділитися
Вставка
  • Опубліковано 21 січ 2025

КОМЕНТАРІ • 344

  • @Stefabro
    @Stefabro 3 роки тому +756

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

    • @cumsock2085
      @cumsock2085 3 роки тому +3

      Yeahhhh instead we have the public school system. Very pawg

    • @reidflemingworldstoughestm1394
      @reidflemingworldstoughestm1394 3 роки тому +3

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

    • @DannySullivanMusic
      @DannySullivanMusic 3 роки тому +1

      this comment is totally, totally true dude

    • @callisaid
      @callisaid Рік тому +1

      Teachers or instructors need better pay

    • @yuvtrehan7047
      @yuvtrehan7047 Рік тому

      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 роки тому +178

    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 роки тому +8

      secrets of the universe man

    • @lameiraangelo
      @lameiraangelo 3 роки тому +8

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

    • @Convexhull210
      @Convexhull210 3 роки тому +1

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

    • @lameiraangelo
      @lameiraangelo 3 роки тому +1

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

    • @faismasterx
      @faismasterx 3 роки тому

      @@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 роки тому +25

    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 роки тому +19

      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 роки тому +65

    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 4 роки тому +13

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

  • @SumitKumar-r3u5p
    @SumitKumar-r3u5p 4 місяці тому +4

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

  • @amritas2400
    @amritas2400 4 роки тому +102

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

    • @DrTrefor
      @DrTrefor  4 роки тому +30

      That’s so important imo!

    • @wantedq8332
      @wantedq8332 3 роки тому +6

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

    • @chinsoon1231
      @chinsoon1231 8 місяців тому +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 місяців тому +1

      same feeling bro . lots of love sir @DrTrefor

  • @nicken._.chuggets
    @nicken._.chuggets Рік тому +6

    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

  • @mathketeer
    @mathketeer 14 днів тому +1

    It's such a great idea to give a list of concepts with illustrations and brief explanations. Thank you!

  • @ramchillarege1658
    @ramchillarege1658 2 роки тому +4

    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.

  • @investdmo
    @investdmo 4 роки тому +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!

  • @rahul2000
    @rahul2000 3 роки тому +7

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

  • @tomaszsidorczuk7784
    @tomaszsidorczuk7784 2 роки тому +5

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

  • @conviction3000
    @conviction3000 4 роки тому +9

    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 роки тому +3

      Glad it was helpful!

  • @trinity3460
    @trinity3460 Рік тому +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 роки тому +309

    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 роки тому +3

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

    • @donlansdonlans3363
      @donlansdonlans3363 4 роки тому +4

      @@abrahamsweetvoice7687 he already has made them :D

    • @harshitgarg5818
      @harshitgarg5818 4 роки тому

      same here

    • @chandrakantpandey1925
      @chandrakantpandey1925 4 роки тому

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

    • @zinasantana
      @zinasantana 4 роки тому

      I feel you

  • @freshely9309
    @freshely9309 3 роки тому +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

  • @kitgary
    @kitgary Рік тому

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

  • @aytakshams7595
    @aytakshams7595 Рік тому +2

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

  • @andreasradler1744
    @andreasradler1744 3 роки тому +6

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

  • @lolsopal
    @lolsopal 4 роки тому +2

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

  • @JavArButt
    @JavArButt 3 роки тому +9

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

  • @pulverizedpeanuts
    @pulverizedpeanuts 9 місяців тому +2

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

  • @raunitsingh676
    @raunitsingh676 4 роки тому +1

    Now that's what I call teaching. INCREDIBLE!

  • @robertjr8205
    @robertjr8205 2 роки тому

    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!

  • @dineshkumarv9493
    @dineshkumarv9493 2 роки тому +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😍💥

  • @ermweezer
    @ermweezer 3 роки тому +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 :)

  • @shutupimlearning
    @shutupimlearning 2 роки тому +2

    this playlist is literally saving my grades

  • @janjohnson321
    @janjohnson321 4 роки тому +10

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

  • @alexdotdash7731
    @alexdotdash7731 3 роки тому +1

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

  • @boogychan
    @boogychan 3 роки тому +2

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

  • @tara555100
    @tara555100 3 роки тому +4

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

    • @DrTrefor
      @DrTrefor  3 роки тому +1

      Thanks, will do!

  • @sroydetroy6404
    @sroydetroy6404 2 роки тому +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....

  • @milanimorales2645
    @milanimorales2645 Рік тому

    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.

  • @gonderage
    @gonderage 4 роки тому +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 роки тому +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.

  • @aoconnor2933
    @aoconnor2933 Рік тому +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  Рік тому +2

      hey congrats that's awesome!

  • @vaibhavkumar7745
    @vaibhavkumar7745 3 роки тому +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. :)

  • @AlexNH56
    @AlexNH56 3 роки тому +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!

  • @CaliRATZ
    @CaliRATZ 4 роки тому +4

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

    • @DrTrefor
      @DrTrefor  4 роки тому +3

      You are welcome!

  • @kylevebar3909
    @kylevebar3909 3 роки тому +4

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

  • @randoomly39484
    @randoomly39484 2 роки тому +1

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

  • @baawlaaw164
    @baawlaaw164 3 роки тому +1

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

    • @DrTrefor
      @DrTrefor  3 роки тому +1

      Thank you! Will do!

  • @faismasterx
    @faismasterx 3 роки тому +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.

  • @thetrading7812
    @thetrading7812 3 роки тому +1

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

  • @ph4nt0m36
    @ph4nt0m36 2 роки тому +2

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

  • @Rahat2056
    @Rahat2056 4 роки тому

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

    • @Rahat2056
      @Rahat2056 4 роки тому

      @@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.

  • @amadif1793
    @amadif1793 4 місяці тому

    Starting calc 3 tomorrow. This was a great intro!

  • @Informath-zj4en
    @Informath-zj4en Рік тому

    I am thankful for your genuine passion and making my day

  • @amitroy-k9j
    @amitroy-k9j 3 місяці тому +1

    i love this course . thanks for your effort and love

  • @devrajyaguru2271
    @devrajyaguru2271 2 роки тому +1

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

  • @yaya_papaya00
    @yaya_papaya00 4 роки тому +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 роки тому +1

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

    • @yaya_papaya00
      @yaya_papaya00 4 роки тому

      @@DrTreforUCSD

  • @tho_norlha
    @tho_norlha 3 роки тому +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 !!!

  • @sai4007
    @sai4007 Рік тому +4

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

  • @sergiolucas38
    @sergiolucas38 3 роки тому +1

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

  • @khbye2411
    @khbye2411 4 роки тому +6

    Thank you so much the visuals help a lot!!

    • @DrTrefor
      @DrTrefor  4 роки тому +1

      I’m so glad they helped!

  • @pinsaramallawarachchi8201
    @pinsaramallawarachchi8201 3 місяці тому

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

  • @karanveercheema2975
    @karanveercheema2975 2 роки тому +1

    went through the entire playlist, great vids

    • @DrTrefor
      @DrTrefor  2 роки тому +2

      Awesome, glad you enjoyed! Calc IV up next!

  • @yaswanthchowdary5167
    @yaswanthchowdary5167 3 роки тому +1

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

  • @vivekracing
    @vivekracing Рік тому

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

  • @ramnareshdara5203
    @ramnareshdara5203 4 роки тому +2

    lots of respect and love from India

  • @ricardobautista-garcia8492
    @ricardobautista-garcia8492 4 роки тому +2

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

  • @TXP9
    @TXP9 4 роки тому +17

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

  • @ramanivisvanathan6149
    @ramanivisvanathan6149 2 роки тому

    A very rich introduction to multivariable calculus.

  • @NAUSHADKHAN-ij9ce
    @NAUSHADKHAN-ij9ce 4 роки тому +1

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

    • @DrTrefor
      @DrTrefor  4 роки тому

      Glad you’re excited, multivariable calc is awesome!

  • @tıbhendese
    @tıbhendese 4 роки тому +1

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

  • @taka4059
    @taka4059 4 роки тому +37

    UA-cam recommendations, we meet again.

  • @akshatkumarmishra424
    @akshatkumarmishra424 3 роки тому +1

    great work man, i just subscribed!!

  • @diegogalvez2092
    @diegogalvez2092 3 роки тому

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

  • @have_a_nice_day399
    @have_a_nice_day399 2 роки тому +1

    Your videos are addictive..

  • @keenufan
    @keenufan 2 місяці тому +2

    @2:42 z = h(t)

  • @Limbaugh_
    @Limbaugh_ 2 роки тому +1

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

    • @carultch
      @carultch Рік тому

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

  • @Mark-IamNum1
    @Mark-IamNum1 2 роки тому

    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

  • @moth36
    @moth36 3 роки тому +1

    This course will be very helpful in differential geometry

  • @jamesbrown6960
    @jamesbrown6960 2 роки тому +1

    really enjoyed the graphics with explanation.

  • @continnum_radhe-radhe
    @continnum_radhe-radhe 3 роки тому +2

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

  • @jackiee_hoo
    @jackiee_hoo 3 роки тому +1

    You are simply amazing sir 🙏🏼🙏🏼🙏🏼

  • @gyansagar9118
    @gyansagar9118 Рік тому +1

    i would just say : love you sir from Bharat

  • @Robert-jy9jm
    @Robert-jy9jm 3 роки тому +1

    This is simply excellent!

  • @gabedarrett1301
    @gabedarrett1301 3 роки тому +1

    You are a godsend!! Glad I subscribed!

  • @sashwatsethuraman6300
    @sashwatsethuraman6300 3 роки тому +7

    Hey sir, I got a question, I’m a high school student who’s very interested in calculus, and I’m doing the IB board. So I’m planning on doing my math HL exploration on some of the most interesting topics in multivariable calculus. What would you suggest for me? I have a sufficient understanding of calc 1 and 2

    • @DrTrefor
      @DrTrefor  3 роки тому +8

      Lagrange multipliers might be a good topic:)

  • @douglasstrother6584
    @douglasstrother6584 3 роки тому

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

  • @ferjmz2932
    @ferjmz2932 3 місяці тому

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

  • @zuhaibrashidbangroo5413
    @zuhaibrashidbangroo5413 3 роки тому +3

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

  • @mallninja9805
    @mallninja9805 3 роки тому +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 2 роки тому

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

  • @rishabhchadha3652
    @rishabhchadha3652 3 роки тому +1

    Love your passion!

  • @MahmoudMohamed-gu2mh
    @MahmoudMohamed-gu2mh 3 роки тому +1

    oooh man, you are a mazing teacher

  • @sriharsha7709
    @sriharsha7709 4 роки тому

    thank you for taking time in making these videos

  • @Sspectator
    @Sspectator 4 роки тому +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.

  • @taylorcurran2362
    @taylorcurran2362 2 роки тому +1

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

  • @marifrystine1460
    @marifrystine1460 4 роки тому +6

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

  • @The_Engineer
    @The_Engineer 3 роки тому +1

    thank you, all your videos are awesome

  • @cooperjio
    @cooperjio 3 роки тому

    You are amazing! This whole playlist single handedly carried me through Calculus :-') Thank you so much!

  • @tmpace9
    @tmpace9 4 роки тому +52

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

  • @itrstt66
    @itrstt66 2 роки тому +1

    is this a basis for games graphics creation?

  • @prashanthkumar0
    @prashanthkumar0 4 роки тому

    👏👏amazing..
    thanks for making this playlist

  • @johnlary8792
    @johnlary8792 2 роки тому

    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.

  • @vishalthaware6372
    @vishalthaware6372 4 роки тому +1

    Thanks form india🇮🇳

  • @lesliegilbert5179
    @lesliegilbert5179 9 місяців тому

    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!

  • @pameeeburgosgil
    @pameeeburgosgil 2 роки тому

    Hi there! I pretty much love these videos so far, what book do you recommend me to study Multivariable calculus?

  • @haider1946
    @haider1946 2 роки тому +3

    This is an awesome course! My only issue is that I couldn't find any good place to practice. Do you recommend any?