Multivariable Calculus Lecture 1 - Oxford Mathematics 1st Year Student Lecture

This is the first of four lectures we are showing from our 'Multivariable Calculus' 1st year course. In the lecture, which follows on from 'Introductory Calculus' which our students took in their first term, Sarah introduces the subject before going on to focus on Multiple Integrals in 2D.
You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists): • Oxford Mathematics Stu...
All first and second year lectures are followed by tutorials where students meet their tutor in pairs to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.

Пікірлер: 258

  • @VDP207
    @VDP2072 ай бұрын

    I was just telling my friend yesterday, "you know, it's been far too long since I've enjoyed a nice invigorating Calculus lecture!"

  • @turjjopaul1190

    @turjjopaul1190

    Ай бұрын

    what is invigorating Calculus

  • @A_A_12_

    @A_A_12_

    Ай бұрын

    invigorating lecture, not calculus

  • @revolution545

    @revolution545

    Ай бұрын

    @@A_A_12_ *invigorating calculus lecture, which is what was originally posted...

  • @Shyguy71588

    @Shyguy71588

    Ай бұрын

    Did your friend look back at you angrily with hate in his eyes?

  • @briteness
    @britenessАй бұрын

    It is a real public service for Oxford to make classes available for free on youtube. Exposure to something like this could potentially change somebody's life.

  • @palanthis

    @palanthis

    Ай бұрын

    Yeah. Encourage them to take up gardening. lol

  • @leroux-ianni
    @leroux-ianni18 күн бұрын

    I used to hate maths in the past but watching videos on KZread magically I fell in love with it

  • @AllanSitte
    @AllanSitteАй бұрын

    It has been 27 years since I took a calculus course. Bringing back many dust bin memories for sure. And... she is good. A pleasure to watch this presentation.

  • @leonardobrunorende5363
    @leonardobrunorende53632 ай бұрын

    Took my degrere in Mechanical Engineering... NEVER had such a charming math teacher!

  • @Shyguy71588

    @Shyguy71588

    Ай бұрын

    Nothing like getting a degrere. Sort of like getting a degree

  • @swizzbeats1212
    @swizzbeats12122 ай бұрын

    Those boards are wild!

  • @aaabbb-py5xd

    @aaabbb-py5xd

    2 ай бұрын

    Um no

  • @AlonsoRules

    @AlonsoRules

    2 ай бұрын

    they are to scare you

  • @aaabbb-py5xd

    @aaabbb-py5xd

    2 ай бұрын

    @@AlonsoRules They scare the peasants

  • @guilhermegoncalves110

    @guilhermegoncalves110

    2 ай бұрын

    The wildest thing about them is that they're all white. You have to change your retinas after every class.

  • @adi8oii

    @adi8oii

    2 ай бұрын

    @@aaabbb-py5xd I swear to god! Black boards are the best!!

  • @JonathanLang-nu2lx
    @JonathanLang-nu2lx2 ай бұрын

    just got started on double integrals, this was a great introduction!

  • @differentialtopology
    @differentialtopology2 ай бұрын

    One of the most beautiful subjects in mathematics, multivariable calculus. One day i want to teach this and these videos are inspiring me

  • @RajKumar-pj6jv

    @RajKumar-pj6jv

    2 ай бұрын

    cant u dream of something better

  • @differentialtopology

    @differentialtopology

    2 ай бұрын

    @@RajKumar-pj6jv u literally wasted ur life commenting a mean comment. Please reevaluate ur attitude

  • @zaibacademia

    @zaibacademia

    2 ай бұрын

    Calculus, not doubt backbone of mathematics.

  • @kousik8042

    @kousik8042

    2 ай бұрын

    This video inspires you? Teacher teaching by reading about loud and copying from notes? Get a life dumb

  • @lugia8888

    @lugia8888

    2 ай бұрын

    @@differentialtopology hes not wrong. you could be traveling or spend time with your kids. instead you want to teach something that is easily available online? dont be stupid. youre wasting your time and hes trying to save you time. dont be sensitive.

  • @markjordan7800
    @markjordan78002 ай бұрын

    no idea whats this is all about I'm just here for the amazing handwriting :) what a enjoy to watch

  • @mathematica7531
    @mathematica75312 ай бұрын

    Several canvas sheets white boards, very helpful to the Professor.

  • @marygaleac
    @marygaleac2 ай бұрын

    I have wanted to be a mathematician for 50 years…..2x=10….x is!??….is as far as I got…..I just couldn’t get my head around equations…..or any other maths….later on in life I could pretty much workout a monkey double at evens and 11/4….in the world of bookmaking…..I have read books on most of the greats….mainly before during and after Newton…..or Hooke….contentious topic I know……but this stuff is mesmerising to watch…..I have absolutely no idea what she is talking about but just love it…

  • @mitchjacobs7603
    @mitchjacobs76032 ай бұрын

    Excellent lecture. I'm teaching a multvariable calculus class this term and this greatly information how I plan to deliver the lectures

  • @blackimp4987

    @blackimp4987

    2 ай бұрын

    not for offending anyone but this way of teaching makes students sleep or struggle to keep up copying the boards. Change rythm, ask questions to your students, emphasize some parts. This has been a constant stream of words thou clear and linear. It's no different than reading the textbook - that's exactly what I did for many classes I had in my engineering studies as it was much more effective and time and energy saving for me studying my textbooks at home than wasting hours for going to my universities, listening to hypnotic lessons not memorizing or understanding half of what I could alone at home.... except for a very few where the professors were very good at merging notions from different texts and had the capability of making things clearer or more interesting - like my professor of linear dynamic systems - or you simply couldn't pass the exams if you didn't pick notes at lessons because they didn't follow a specific textbook.

  • @OxfordMathematics

    @OxfordMathematics

    2 ай бұрын

    @@blackimp4987 As mentioned elsewhere, this is the first part of the process. Lectures are followed by tutorials where students in pairs go through the work with their tutor. There is a tutorial on this channel (albeit a few years old). Thanks for the feedback.

  • @logicae4096
    @logicae4096Ай бұрын

    Brings me back 20 years as an undergrad in Computer Science and Engineering. To this day I still shudder at advanced DiffEq.

  • @Narxes081206

    @Narxes081206

    Ай бұрын

    I was not a fan of diff eq!

  • @hybridepigenes
    @hybridepigenesАй бұрын

    why am I watching this!

  • @AhmadKhan-dn6yh
    @AhmadKhan-dn6yh2 ай бұрын

    Keep this up!! I LOVE THIS!

  • @Ludwig1954
    @Ludwig19542 ай бұрын

    An excellent teacher!

  • @childofthe60s100

    @childofthe60s100

    Ай бұрын

    A teacher TEACHES - this woman just copies her notes onto the whiteboard. You could have got this from a book!

  • @arsenvokrug4198

    @arsenvokrug4198

    20 күн бұрын

    @@childofthe60s100I’m quite happy for her to have her notes to hand. 1) She wrote them in the first place. 2) It saves any annoying omissions that she would have to correct later, disrupting her flow. 3) She speaks quite naturally when amplifying the content of her notes.

  • @emnaboughizane4940
    @emnaboughizane4940Ай бұрын

    Amazing lecture

  • @ohsnapohsnap7346
    @ohsnapohsnap73462 ай бұрын

    Just what i needed

  • @patrickthibault8119
    @patrickthibault81192 ай бұрын

    Interesting writing on sheets.

  • @ArtemisiaSayakaRandazzo
    @ArtemisiaSayakaRandazzo2 ай бұрын

    The most absurd blackboard I have ever seen, I suppose serves to remind us that SpaceTime is deformable. The lesson is excellent.

  • @hainguyenle2006
    @hainguyenle20062 ай бұрын

    Nice 🎉 can’t wait to next lecture

  • @MLFranklin
    @MLFranklin2 ай бұрын

    I need to show this to my daughter and show her that it's not just nerds like me that do calculus. It's normal nice looking people that do it, too.

  • @Skank_and_Gutterboy
    @Skank_and_Gutterboy2 ай бұрын

    I wish I had her in college for this subject. I got some mad German for a prof, she was nuts.

  • @MrBPC76

    @MrBPC76

    Ай бұрын

    Mine was Polish

  • @kenn756

    @kenn756

    Ай бұрын

    Mine was a donkey in engineering

  • @magouero
    @magouero8 күн бұрын

    Thank you Madam for this very clear presentation !

  • @johnAshpool
    @johnAshpool2 ай бұрын

    In the 21st century, I think chalk and blackboard are still the best writing platform.

  • @dragomirtsonev319

    @dragomirtsonev319

    2 ай бұрын

    Absolutely.

  • @kudzem

    @kudzem

    2 ай бұрын

    I absolutely hate chalk and prefer whiteboards but it's a matter of preference I guess

  • @jesuisravi

    @jesuisravi

    Ай бұрын

    this whiteboard thing would be OK if she were using a pen with a broader tip. As it is here, with the marker she is using, it is hard to read.

  • @aa2339

    @aa2339

    29 күн бұрын

    3blue1brown is the future

  • @ZaWarudo69

    @ZaWarudo69

    24 күн бұрын

    I think it’s probably the nostalgia that still holds you to that opinion.

  • @MrBPC76
    @MrBPC76Ай бұрын

    I am very perplexed by the boards she is writing on

  • @muntadheradil9393
    @muntadheradil93932 ай бұрын

    That’s awesome 🤩

  • @user-rv7fl3nd1x
    @user-rv7fl3nd1x22 күн бұрын

    😊..me recuerda el ingreso a la facultad de ingeniería de la "universidad nacional de mar del plata ". (UNMDP) ARGENTINA. Greetings from mar del plata argentina😊...

  • @MyScotty7
    @MyScotty7Ай бұрын

    This is year 1! Its crazy mathematics

  • @futureteacher1
    @futureteacher110 күн бұрын

    لإيجاد المساحة عليك بالتكامل 🙂‍↕️

  • @Md.ShabujMia-wu3ou
    @Md.ShabujMia-wu3ou2 ай бұрын

    Excellent Teacher ❤

  • @El_Girasol_Fachero
    @El_Girasol_Fachero6 күн бұрын

    Excellent class. Greetings from Peru

  • @alexos8741
    @alexos87412 ай бұрын

    - How many whiteboards will you need? - Yes

  • @hemil__
    @hemil__2 ай бұрын

    Arigatto senpai ❤

  • @joseluisrodriguez2605
    @joseluisrodriguez26052 ай бұрын

    Excelente

  • @DJMARCOAV1
    @DJMARCOAV126 күн бұрын

    Interesting , thanks

  • @bernie5178
    @bernie517828 күн бұрын

    J'aime bien les tableaux coulissants !

  • @iGasteiz
    @iGasteiz2 ай бұрын

    Is there a mistake at minute 30:15 in the video? It seems there is an error in the transcription of the limits of integration. It incorrectly uses a1 and a2 as the limits for x, which should actually be a1 and b1 for the correct lower and upper limits, respectively. Similarly, for y, the limits should be a2 and b2 instead of the b1 and a2 that are shown. Could you please clarify?

  • @jeffryborror4883

    @jeffryborror4883

    2 ай бұрын

    You are correct that her specification of the rectangular domain is inconsistent with the limits on the integrals. Rather than changing the integrals, it would be clearer to write the domain as [a1,a2] x [b1,b2]

  • @valentinvetements
    @valentinvetements2 ай бұрын

    The fundamental thing is to know how to use these formulas with multiple variables and if it is possible to improve the operation in less time and less step if in the case of the lack of data the achievement of the result is variable depending on the conditions

  • @vedantkumar1101
    @vedantkumar1101Ай бұрын

    ‌I wanna a lot of vedio in Chapterwise in Mathematics. Because I need.

  • @user-rv7fl3nd1x
    @user-rv7fl3nd1x22 күн бұрын

    Gracias a su compatriota SIR ISAAC NEWTON 😊..❤

  • @MrMusicM67
    @MrMusicM672 ай бұрын

    Anyone know what marker she is using?

  • @mumumumah
    @mumumumahАй бұрын

    Just wondering - are questions not allowed at Oxford, or were students told not to ask questions since this is being recorded? (Were students even present? Never heard a class this quiet.)

  • @user-wr4yl7tx3w
    @user-wr4yl7tx3w2 ай бұрын

    Is there a playlist for this series?

  • @michaelgasiciel9317

    @michaelgasiciel9317

    11 күн бұрын

    🤣

  • @cheongdaniel8696
    @cheongdaniel86962 ай бұрын

    Great lecture! One question, for example 2, why is f(x,y) = 1? Can anyone provide a clear explanation?

  • @amritlohia8240

    @amritlohia8240

    2 ай бұрын

    Because if you work through the definition of a double integral with f(x,y) = 1, you'll see that it just sums up the areas of all the infinitesimally-small rectangles covering the region without multiplying them by anything (since multiplying by 1 leaves a number unchanged), and so it calculates the total area of the region.

  • @Vito-yp5wh
    @Vito-yp5wh20 күн бұрын

    Thank you.

  • @h10horseinfo
    @h10horseinfoАй бұрын

    Great video....didn’t understand a word but I'm sure it will help my shopping. Could a kind person tell me in simple terms what practical use this has....It’s another world to me but I'm glad there are no pathological cases!

  • @koee4400
    @koee44002 ай бұрын

    I don't get what's the scaler field PSI and how to compute in that integral (Ψ dxdy)?

  • @amritlohia8240

    @amritlohia8240

    2 ай бұрын

    What timestamp in the video are you referring to?

  • @Heather-nk6bv
    @Heather-nk6bv2 ай бұрын

    Nice

  • @isalutfi
    @isalutfi2 ай бұрын

    ❤❤❤

  • @pdr0663
    @pdr06632 ай бұрын

    Sorry to be a pedant, but shouldn’t they be “slivers”?

  • @bahmanfarnudi563

    @bahmanfarnudi563

    5 күн бұрын

    'Slither' is informal British for 'sliver'.

  • @bellinivernon
    @bellinivernon2 ай бұрын

    Que bien ... !

  • @georgeh1352
    @georgeh13522 ай бұрын

    Umph, just mastered single integrals when double integrals pops up!!

  • @JupiterThunder

    @JupiterThunder

    2 ай бұрын

    I did the first type of problem at school aged 16. Additional maths O level. That was 40 years ago. Now it's so advanced it's done at university😅

  • @childofthe60s100
    @childofthe60s100Ай бұрын

    Typifies the definition of "A Lecture": "A process by which the notes of the lecturer get into the notes of the student, without passing through the minds of either." No wonder students these days are talking about poor value for money. She could have handed out copies of her notes and gone for a brew!

  • @xl000
    @xl0002 ай бұрын

    What exactly is she writing on ?

  • @sharmatvpresents616
    @sharmatvpresents6162 ай бұрын

    Xllent

  • @andreasmaaan
    @andreasmaaan16 күн бұрын

    That unwieldly cascade of flaccid whiteboards is diabolical.

  • @Okamine
    @OkamineАй бұрын

    Ah yes the perfect video for when I'm about to sleep 😴

  • @Michael43713
    @Michael43713Ай бұрын

    Why not preprepare all this on slides to save keeping writing on the boards all the time?

  • @ngc-fo5te

    @ngc-fo5te

    Ай бұрын

    As a retired lecturer I always found writing led to a better lecture - you tend to go over things at a more sedate pace. Lecturing from slides often leads to rushing things - and also a board has more room for asides.

  • @TokyoTransit

    @TokyoTransit

    Ай бұрын

    how can you show 9 slides at the same time?😊

  • @wysad3
    @wysad3Ай бұрын

    If only Sarah could be in every school teaching maths, I felt I understood even when I didnt, if she could teach me from fundamentals all the way through - Please digitize Sarah

  • @user-ev5uh8zo6j
    @user-ev5uh8zo6j2 ай бұрын

    So easy. My name is Hyun woojin.

  • @RagHelen
    @RagHelen2 ай бұрын

    It appears to be quite common for teachers in the English speaking world to write whole sentences on the board.

  • @ngc-fo5te

    @ngc-fo5te

    Ай бұрын

    Not just English speaking world do that.

  • @RedBar3D
    @RedBar3D2 ай бұрын

    those boards are such a weird choice for one of the most prestigious universities in the world

  • @michaelcolbourn6719

    @michaelcolbourn6719

    2 ай бұрын

    In what way?

  • @kassiogomes8498

    @kassiogomes8498

    2 ай бұрын

    They are great. What are you talking about.

  • @RedBar3D

    @RedBar3D

    2 ай бұрын

    ​@@michaelcolbourn6719 Most mathematicians that I know of prefer chalkboards. Also, the way these boards wobble when you write on them makes them look cheap.

  • @MuhammadUmar-zb6hf

    @MuhammadUmar-zb6hf

    2 ай бұрын

    I dont think boards really fo matter now dont they?

  • @Alexander-iq5yq

    @Alexander-iq5yq

    2 ай бұрын

    @@RedBar3D I prefer to inscribe clay tablets

  • @michaelkoch6863
    @michaelkoch68632 ай бұрын

    Ja gut. Es sind die " Basiscs " ( Riemann Integration in R^2 über Normalgebiete ect ect) aber trotzdem gut vorgetragen.

  • @pmosh1
    @pmosh12 ай бұрын

    When she erased the marker with her finger @35:50 🤯

  • @ErikS-
    @ErikS-2 ай бұрын

    I have seen my share of university classrooms and auditoria... But never have I seen such a huuuuuge whiteboard.

  • @IsmailPbx
    @IsmailPbxАй бұрын

    Do we get access to the lecture notes?

  • @OxfordMathematics

    @OxfordMathematics

    Ай бұрын

    courses.maths.ox.ac.uk/course/view.php?id=4941

  • @mindsetTunner679
    @mindsetTunner6792 ай бұрын

    #mathematicsbypankajkumar

  • @jeffmilroy9345
    @jeffmilroy9345Ай бұрын

    Advanced mathematics was contrived simply to determine where a cannon ball will land given sufficient gunpowder.

  • @Chiavaccio
    @Chiavaccio22 күн бұрын

    👍👏

  • @0riigiinal-fx8me
    @0riigiinal-fx8meАй бұрын

    Love her style

  • @DellHell1
    @DellHell12 ай бұрын

    Those boards should be black and the board marker should be white. Basic human factors.

  • @richardbryanesq

    @richardbryanesq

    2 ай бұрын

    Is there such a thing as a white magic marker? I've never seen that.

  • @adrianwright8685

    @adrianwright8685

    2 ай бұрын

    Really?! Perhaps you should inform the printers of books, magazines and newspapers.

  • @markjenkins8242

    @markjenkins8242

    2 ай бұрын

    Plus writing other colors, like red or blue, on a black board wouldn't show up very well.

  • @atomic4650

    @atomic4650

    2 ай бұрын

    Nah, green boards contrast better.

  • @DellHell1

    @DellHell1

    2 ай бұрын

    @@adrianwright8685 you are comparing apples to oranges.

  • @Nur_Md._Mohiuddin_Chy._Toha
    @Nur_Md._Mohiuddin_Chy._Toha24 күн бұрын

    👍👍👍

  • @chico15analitico15
    @chico15analitico152 ай бұрын

    Virtual pizarra deberían hacer

  • @javierfigueroa8862
    @javierfigueroa886214 күн бұрын

    Sitting on my forklift ignoring all my work duties watching this because why not

  • @strangercydonian
    @strangercydonianАй бұрын

    where can i get access to the online notes?

  • @OxfordMathematics

    @OxfordMathematics

    Ай бұрын

    courses.maths.ox.ac.uk/course/view.php?id=4941

  • @strangercydonian

    @strangercydonian

    Ай бұрын

    @@OxfordMathematics thanks!!!!

  • @eyebidder
    @eyebidder15 күн бұрын

    I once took a course from Einstein...it was all relative to me.

  • @saifullahashique
    @saifullahashique2 ай бұрын

    other lectures?

  • @differentialtopology

    @differentialtopology

    2 ай бұрын

    Patience is a virtue, a virtue that leads to beautiful mathematics :) soon we'll be gifted with the next video :D

  • @ErikS-
    @ErikS-2 ай бұрын

    Imagine as a professor to write full all these whiteboards... ... and find out at the end that you used a PERMANENT marker

  • @markbrown585

    @markbrown585

    2 ай бұрын

    Did that once! You then eliminate all permanent markers from the room so you can’t make that mistake again…. It’s easy to do while you are focused during the lecture.

  • @quarstrongforce
    @quarstrongforceАй бұрын

    Too fast for me even with the writing down. (1) dydx?

  • @user-hm2gb6pm6b
    @user-hm2gb6pm6b6 күн бұрын

    If rain is easily understood why not integrals Rain is .......the only topic more targeted

  • @user-dr8bm6bt3m
    @user-dr8bm6bt3mАй бұрын

    Niceclassmathmatics

  • @jej3451
    @jej34512 ай бұрын

    21:37 "slivers", not "slithers", haha

  • @MLFranklin

    @MLFranklin

    2 ай бұрын

    Yes. Maybe it's a Freudian because the integral sign looks like a snake.

  • @bahmanfarnudi563

    @bahmanfarnudi563

    5 күн бұрын

    'Slither' is informal British for 'sliver'.

  • @huissenm8752
    @huissenm87522 ай бұрын

    got fooled by the curves.

  • @KAFKUBA
    @KAFKUBA23 күн бұрын

    Where was she at my college

  • @S-xc
    @S-xc10 күн бұрын

    Doesn't one of these students explain to me what is happening? What is this? Is it a philosophy in mathematics? I am just a simple student from Iraq. I was looking for arithmetic sequences and derivative rules.

  • @jdaniel3185
    @jdaniel31857 күн бұрын

    I lost 2 universities because of limits integrals derivates who i stoped to understand...at 46 is to late to start to understand..

  • @sydneyhart
    @sydneyhart2 ай бұрын

    Where’s Dan?

  • @marcelogaldames2306
    @marcelogaldames230615 күн бұрын

    Genial

  • @AchryaPrashant
    @AchryaPrashant2 ай бұрын

    At first sight I read this as multiverse calculus 😂😂😂😂😂😂

  • @BlueMushroomSmurfCat

    @BlueMushroomSmurfCat

    20 күн бұрын

    Edward Witten be like

  • @vedantkumar1101
    @vedantkumar1101Ай бұрын

    Now I am going to third year. And I have no any sufficient classes. 😢

  • @YoungMeasures
    @YoungMeasures2 ай бұрын

    Her i’s have no dots on them!!

  • @richardbryanesq

    @richardbryanesq

    2 ай бұрын

    Think of all the time saved around the world if we didn't add a dot to an I, or an apostrophe. Enormous time savings; enormous.

  • @norwalkian
    @norwalkian2 ай бұрын

    Don't miss her other lecture, "Feeding your very, very hungry lion by hand"

  • @EnderWorrior
    @EnderWorrior2 ай бұрын

    iss aache to meri jee ke teacher hai jo bina dekhe sab kuch karate hai

  • @calculus8399

    @calculus8399

    2 ай бұрын

    Maybe

  • @kousik8042

    @kousik8042

    2 ай бұрын

    ​​@@calculus8399laude Tera Oxford Harvard... Wo 100 percent sahi bola... Jee teacher hamare desh me ..muh me rahta he topic ...ye chomu notes dekh ke padha rahi

  • @bruhsusaltamash8141

    @bruhsusaltamash8141

    2 ай бұрын

    Jee teachers explain toughest concepts to you like you are five

  • @kevink7529

    @kevink7529

    2 ай бұрын

    Isse ache to Mera 12th Ka teacher tha. Ye Kuch bhi Nahi Sikha rahi bas copy paste hai

  • @yaseensaid5962
    @yaseensaid59622 ай бұрын

    How can I want to study medicine in this university ???

  • @DadgeCity
    @DadgeCity2 ай бұрын

    Interesting that she says slither when she means sliver. I suppose this is an example of hypercorrection.

  • @jeffryborror4883

    @jeffryborror4883

    2 ай бұрын

    i noticed that too. Thought maybe it was a Britishism but I looked it up and it seems not.

  • @bahmanfarnudi563

    @bahmanfarnudi563

    5 күн бұрын

    @@jeffryborror4883 Slither is indeed informal British for sliver.

  • @user-ff5pd8ro2k
    @user-ff5pd8ro2k10 күн бұрын

    I can't believe a teacher needs to read her papers to write down such a simple maths in the board. Is that an University or a child school?

  • @TurdBoi-tf5lf

    @TurdBoi-tf5lf

    5 күн бұрын

    a* university. The pronunciation of "U" in university is like a "y" so we don't use an before it. This is basic English.

  • @bfybfy438
    @bfybfy438Ай бұрын

    Powerpoint would have ruined this lecture!

  • @amyers01
    @amyers012 ай бұрын

    Good stuff but I’m like, “Pull the board down instead of up”

  • @kassiogomes8498

    @kassiogomes8498

    2 ай бұрын

    But then the students wouldn't be able to take notes because the board would disappear.

  • @markbrown585

    @markbrown585

    2 ай бұрын

    Its nice to have it still visible later on

  • @festus8389
    @festus83892 ай бұрын

    She is on jet speed. I wonder if those kids will pick up

  • @user-kh8bh6no5x

    @user-kh8bh6no5x

    2 ай бұрын

    As a student who sat these lectures (12 lectures already for multivariable calculus), I actually think that out of the 6 lecturers this term she is the one on lowest speed! She explains the concepts in an understandable way.

  • @markbrown585

    @markbrown585

    2 ай бұрын

    She is slower than most of my college lecturers were… but a fast pace forces you to become a quicker thinker I believe