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

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

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5 ай бұрын

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.

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@VDP207 4 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 4 ай бұрын

what is invigorating Calculus

@A_A_12_ 4 ай бұрын

invigorating lecture, not calculus

@revolution545 4 ай бұрын

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

@Shyguy71588 4 ай бұрын

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

@jackbakx8932 2 ай бұрын

@@turjjopaul1190 Invigorating describes something that makes you feel strong and revitalized.

@briteness 4 ай 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 4 ай бұрын

Yeah. Encourage them to take up gardening. lol

@carlosdamianmaldonadoruiz3182 2 ай бұрын

Hola para mí es genial y me cambia la forma de ver la vida gracias

@shamikpatro 2 ай бұрын

At the time of this comment: Lecture 1: 246k views Lecture 2: 18k views Lecture 3: 30k views Lecture 4: 9.6k views Always found it interesting how the views in any sort of lecture series drastically drops after the first lecture. Doesn't matter the topic - mathematics, psychology, quantum mechanics, etc. all follow identical patterns where the second lecture gets half or less of the views of the first lecture and (usually) the preceding lectures drop off at an exponential rate. Of course, there are outliers, but I still find it fascinating how most are willing to start but only few are willing to chase it to the end.

@ishaand6370 2 ай бұрын

I think this may be to do with the algorithm? people are likely to click on lecture 1 not on an 8th lecture which might have a small part to do with it but i agree with the trend u identified its actually really interesting

@user-mq9xn3qn6j Ай бұрын

Yo solo entre para ver el nivel :v

@lukajk Ай бұрын

'fascinating' maybe but definitely a common pattern

@funbegins2371 27 күн бұрын

this is true for all kind of videos and is not limited to education videos

@leroux-ianni 3 ай бұрын

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

@swizzbeats1212 5 ай бұрын

Those boards are wild!

@aaabbb-py5xd 5 ай бұрын

Um no

@AlonsoRules 5 ай бұрын

they are to scare you

@aaabbb-py5xd 5 ай бұрын

@@AlonsoRules They scare the peasants

@guilhermegoncalves110 5 ай бұрын

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

@adi8oii 5 ай бұрын

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

@AllanSitte 4 ай 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.

@JonathanLang-nu2lx 5 ай бұрын

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

@leonardobrunorende5363 5 ай бұрын

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

@Shyguy71588 4 ай бұрын

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

@PiroKUSS 2 ай бұрын

@@Shyguy71588You know what he meant, pedantic know-it-all.

@differentialtopology 5 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 5 ай бұрын

cant u dream of something better

@differentialtopology 5 ай бұрын

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

@zaibacademia 5 ай бұрын

Calculus, not doubt backbone of mathematics.

@kousik8042 5 ай бұрын

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

@lugia8888 5 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 5 ай бұрын

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

@mathematica7531 5 ай бұрын

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

@mitchjacobs7603 5 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 5 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 5 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.

@AhmadKhan-dn6yh 5 ай бұрын

Keep this up!! I LOVE THIS!

@gitgudnga 5 ай бұрын

Just what i needed

@magouero 3 ай бұрын

Thank you Madam for this very clear presentation !

@marygaleac 5 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…

@muntadheradil9393 5 ай бұрын

That’s awesome 🤩

@emnaboughizane4940 4 ай бұрын

Amazing lecture

@logicae4096 4 ай бұрын

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

@Narxes081206 4 ай бұрын

I was not a fan of diff eq!

@patrickthibault8119 5 ай бұрын

Interesting writing on sheets.

@hainguyenle2006 5 ай бұрын

Nice 🎉 can’t wait to next lecture

@Ludwig1954 5 ай бұрын

An excellent teacher!

@childofthe60s100 4 ай бұрын

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

@arsenvokrug4198 3 ай 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.

@Skank_and_Gutterboy 5 ай бұрын

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

@MrBPC76 4 ай бұрын

Mine was Polish

@kenn756 4 ай бұрын

Mine was a donkey in engineering

@DJMARCOAV1 3 ай бұрын

Interesting , thanks

@MyScotty7 3 ай бұрын

This is year 1! Its crazy mathematics

@El_Girasol_Fachero 3 ай бұрын

Excellent class. Greetings from Peru

@user-rv7fl3nd1x 3 ай 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😊...

@hybridepigenes 4 ай бұрын

why am I watching this!

@ArtemisiaSayakaRandazzo 5 ай бұрын

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

@MrBPC76 4 ай бұрын

I am very perplexed by the boards she is writing on

@Md.ShabujMia-wu3ou 5 ай бұрын

Excellent Teacher ❤

@MLFranklin 4 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.

@thebruhtruth8973 2 ай бұрын

I fell of my chair laughing at this lol

@Vito-yp5wh 3 ай бұрын

Thank you.

@hemil__ 5 ай бұрын

Arigatto senpai ❤

@bernie5178 3 ай бұрын

J'aime bien les tableaux coulissants !

@joseluisrodriguez2605 5 ай бұрын

Excelente

@user-wr4yl7tx3w 5 ай бұрын

Is there a playlist for this series?

@michaelgasiciel9317 3 ай бұрын

🤣

@bellinivernon 5 ай бұрын

Que bien ... !

@MrMusicM67 5 ай бұрын

Anyone know what marker she is using?

@alexos8741 5 ай бұрын

- How many whiteboards will you need? - Yes

@iGasteiz 5 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 5 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]

@user-rv7fl3nd1x 3 ай бұрын

Gracias a su compatriota SIR ISAAC NEWTON 😊..❤

@mr.curious1714 2 ай бұрын

What are the prerequisites of this course? I already know grade 12 (Indian board) calculus. What else should I know?

@xl000 5 ай бұрын

What exactly is she writing on ?

@valentinvetements 5 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

@FifaMobile776 5 ай бұрын

❤❤❤

@vedantkumar1101 3 ай бұрын

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

@johnAshpool 5 ай бұрын

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

@dragomirtsonev319 5 ай бұрын

Absolutely.

@kudzem 5 ай бұрын

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

@jesuisravi 4 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 3 ай бұрын

3blue1brown is the future

@ZaWarudo69 3 ай бұрын

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

@ElizaniasEly 2 ай бұрын

well done

@koee4400 5 ай бұрын

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

@amritlohia8240 5 ай бұрын

What timestamp in the video are you referring to?

@pdr0663 5 ай бұрын

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

@bahmanfarnudi563 2 ай бұрын

'Slither' is informal British for 'sliver'.

@cheongdaniel8696 5 ай бұрын

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

@amritlohia8240 5 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.

@Heather-nk6bv 5 ай бұрын

Nice

@futureteacher1 3 ай бұрын

لإيجاد المساحة عليك بالتكامل 🙂‍↕️

@sharmatvpresents616 5 ай бұрын

Xllent

@h10horseinfo 4 ай 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!

@0riigiinal-fx8me 4 ай бұрын

Love her style

@RagHelen 4 ай бұрын

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

@ngc-fo5te 4 ай бұрын

Not just English speaking world do that.

@andreasmaaan 3 ай бұрын

That unwieldly cascade of flaccid whiteboards is diabolical.

@michaelkoch6863 5 ай бұрын

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

@mumumumah 4 ай 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.)

@jackbakx8932 2 ай бұрын

This is a lecture meant for listening. After this you can attend tuturials or classes for asking questions

@Michael43713 4 ай бұрын

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

@ngc-fo5te 4 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 4 ай бұрын

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

@georgeh1352 5 ай бұрын

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

@JupiterThunder 5 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😅

@Chiavaccio 3 ай бұрын

👍👏

@Okamine 4 ай бұрын

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

@Nur_Md._Mohiuddin_Chy._Toha 3 ай бұрын

👍👍👍

@jdaniel3185 3 ай бұрын

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

@jackbakx8932 2 ай бұрын

You can always learn as a hobby and try different lectures for inspiration and pleasure

@mindsetTunner679 5 ай бұрын

#mathematicsbypankajkumar

@user-ev5uh8zo6j 5 ай бұрын

So easy. My name is Hyun woojin.

@pmosh1 5 ай бұрын

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

@javierfigueroa8862 3 ай бұрын

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

@le24_qr6nod 2 ай бұрын

The lectures series chose me....

@wysad3 4 ай 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

@quarstrongforce 3 ай бұрын

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

@saifullahashique 5 ай бұрын

other lectures?

@differentialtopology 5 ай бұрын

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

@DellHell1 5 ай бұрын

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

@richardbryanesq 5 ай бұрын

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

@adrianwright8685 5 ай бұрын

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

@markjenkins8242 5 ай бұрын

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

@atomic4650 5 ай бұрын

Nah, green boards contrast better.

@DellHell1 5 ай бұрын

@@adrianwright8685 you are comparing apples to oranges.

@ErikS- 5 ай бұрын

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

@wlyTheEverydayWorld 2 ай бұрын

Who is the lecturer?

@jeffmilroy9345 4 ай бұрын

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

@user-dr8bm6bt3m 3 ай бұрын

Niceclassmathmatics

@arashyusefi1889 2 ай бұрын

🙏 Thanks 🙏👍

@IsmailPbx 4 ай бұрын

Do we get access to the lecture notes?

@OxfordMathematics 4 ай бұрын

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

@strangercydonian 4 ай бұрын

where can i get access to the online notes?

@OxfordMathematics 4 ай бұрын

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

@strangercydonian 4 ай бұрын

@@OxfordMathematics thanks!!!!

@KAFKUBA 3 ай бұрын

Where was she at my college

@sydneyhart 4 ай бұрын

Where’s Dan?

@RedBar3D 5 ай бұрын

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

@michaelcolbourn6719 5 ай бұрын

In what way?

@kassiogomes8498 5 ай бұрын

They are great. What are you talking about.

@RedBar3D 5 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 5 ай бұрын

I dont think boards really fo matter now dont they?

@Alexander-iq5yq 5 ай бұрын

@@RedBar3D I prefer to inscribe clay tablets

@eyebidder 3 ай бұрын

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

@childofthe60s100 4 ай 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!

@jej3451 5 ай бұрын

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

@MLFranklin 4 ай бұрын

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

@bahmanfarnudi563 2 ай бұрын

'Slither' is informal British for 'sliver'.

@S-xc 3 ай 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.

@marcelogaldames2306 3 ай бұрын

Genial

@yaseensaid5962 5 ай бұрын

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

@vedantkumar1101 3 ай бұрын

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

@chico15analitico15 5 ай бұрын

Virtual pizarra deberían hacer

@YoungMeasures 5 ай бұрын

Her i’s have no dots on them!!

@richardbryanesq 5 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.

@user-hm2gb6pm6b 3 ай бұрын

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

@DadgeCity 5 ай бұрын

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

@jeffryborror4883 5 ай бұрын

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

@bahmanfarnudi563 2 ай бұрын

@@jeffryborror4883 Slither is indeed informal British for sliver.

@ErikS- 5 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 4 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.