University Mathematics Study Tips 📖 How I Ranked Top of the Year in Mathematics
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- Опубликовано: 6 июл 2024
- So, how do you even study maths at university? In today's video, I talk you through the techniques and methods I adopted as a mathematics student to rank top of the year in my undergraduate maths degree! Any questions, feel free to comment below or reach out to me on Instagram☺️
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Timestamps:
00:00 - Introduction
01:09 - What to do before term/lectures start
03:18 - What to do during lectures/term time
10:04 - Example Sheets
For those of you that are new here, hi there 🌞 my name is Ellie and I'm a Cambridge Part III Mathematics Graduate and current Astrodynamics Software Engineer! This channel is where I nerd out about maths, physics, space and coding so if that sounds like something you're interested in, click the subscribe button to follow along ☺️
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My Cambridge Dissertation (with LaTeX source code)🌞: payhip.com/b/L1V9I
Thanks for existing girl and being on RUclips. You are a blessing to all of us .
The study of mathematics has always been more akin to the study of music performance than any other subject. Just as however good or detailed an instructor could play and explain a musical piece, a student would never expect to pass an exam by just remembering the lecture and instead knows it is the amount of practicing done that matters. Same with mathematics. No instructor will have the time to go into every detail or application during a lecture. Only practice can prove understanding.
this was exactly what my collage lecturer told me
depends if the priactice is higher order or not
1. Get organised! Folders, put your reading material/lecture notes in then, put everything where you can find it! Life is chaos, your notes don’t need to be.
2. Make your notes readable! Don’t confuse yourself.
3. Go back over notes - check missing steps so you know them, check you understand what’s going on in your notes. Don’t let the integrals stop being the area under a curve! …but if you don’t have the time, using example sheets for that is fine.
4. Add to your notes from what you learn by doing questions. Document the resource that helps you understand your lectures. Know what’s going on inside the notes!
5. Understand everything in the last lecture before the next one, or at least when you get the chance.
6. Example sheets. Loads of practise. Your gold. Learn, remember, apply. Refine the material using these sheets. Enjoy them as well, let them help you google around the subject.
Yes, I agree with you 100%. Mathematics is a different subject and you need to learn it the right way. This is also another reason why mathematics has pure and applied components to it. Pure part is 100% pure and has a lot of abstract concepts that you need to carefully look at and learn piece by piece to make sure you understand it the way it should be. Sometimes, it is very easy to make a mistake or have a different or incorrect concept planted in your head. So, if you are planning to be successful, you need to take time from your schedule to carefully and go through them. I would recommend these great advises to anyone who wants to be successful in mathematics. Thanks, Ellie for what you are doing. This helps many many more.
Great job Ellie! Wish you great success in mathematics in your life!
Great video, I think I used most of these in my three years at uni so far.
I think one of the things most people overlook: understand what you are doing and understand why you are doing it. Yeah, "knowing" how to form a Fourier-Series might might sound like it's enough, many people to think "that's it". What helped me most is learning how certain things work - and I don't mean this on a pure mathematical level, but on a conceptual one. And on the other hand, knowing why something is used in a certain place can a) greatly enhance your problem solving skills because only when you know when to use something, it becomes part of your intellectual toolbox, and b) it helps motivate you, because doing those tasks in the exam don't feel like random exercises anymore.
Thanks a lot for the video! Please keep these coming!!
this was extremely insightful!(also you're very pretty!!)
Maths and Nirvana.. I love them both. Thanks for the great study tips.
me too 😎 thank you so much!!
Thank you Ellie for the video! it'd be really nice if you talk a bit more about how your study methods would differ when it comes to different branches of mathematics, like pure maths / applied maths etc! (especially tips for pure maths modules）
thank you! yes of course, I'll make sure to plan and upload a video on that!!🤩thank you for the recommendation!!
Ooohh, I loved this video! I'm going to try to see the rest in chronological order 👀
Thank you! For my first classes in topology, I could understand the concepts, but when it came to making proofs with them, that was when things started to get really complicated, and I realised I really need to practise a lot in order to know how to actually apply the theory to exercises, and maybe find a general way to solve any exercise though that would be nearly impossible because the possibilities are infinite.
It hasn’t really occurred to me to have an examples sheet, but it would really help so I’m gonna start making compilations of useful exercises for every subject.
Again tysm this helps a lot!!!
I agree. @3:54 Readable Notes: Also the more you write, the better & faster you write your notes. @"This is a kappa" - sidenotes or even tiny side pictures help, here widel used Definitions of (greek letters in sciences): learning those Definitions can be accelerated with a definition table, preparably before lectures get difficult to follow, usable as paper bookmark in your books/college note blocks (I prefer squared paper pages as they support manual layout drawing and formular).
thank you so much for all the information I really enjoyed your video
I'm software engineer. I haven't studied math for a year. specifically since my university. lately I've been revising my math calculus for 2 months. I'm thrilled to learn more specially i want to work on advancement of deep learning algorithm. so I appreciate for your advise.
Got a really bad mark for my pure maths assignment at the Open Uni (45%, our threshold for a first is 85%) and feeling sooo bummed. These videos really help. Thank you Ellie for everything you do 🙏
Don’t let it get you down! A grade doesn’t define you! Also pure maths is so difficult to grasp - it was the modules at my undergrad that people really struggled with so don’t worry, you’re not alone. Always here to help when you need ☺️ thank you for supporting my channel, it means the world 💛
Keep your spirits up. The Open University is awesome. I did a BA and MA with them. They are excellent for part-time and/or older students. Mind, my subjects were Literature for the BA and English for the MA. Although the latter was in fact a literature course. So not sure why it wasn't called Literature. Must be some reason I suppose. I wouldn't have got beyond the first module in maths. Was chuffed to bits that I ever got GCSE maths!
hi Ellie, I’m thinking of going back to uni to study maths and would be really interested in watching a video of you going through your notes/practice questions etc
Wow she is really my inspiration ❤
Great Video! Could you give your advice on how to regiment your revision/learning through holidays?
i'm going to university next year so i thought i'd watch this video. i basically learned i have to do everything different than i do now because i've gone through high school without ever making notes lmao
really helpful tips, thank you! Since maths or physics degrees usually have coding modules (R, python, LaTeX, matlab etc), I would love to hear your advice on those, maybe as an idea for another video :) of course there are tons of "how to learn coding fast" videos on youtube, but most of these are targeted towards self-taught people aiming to become web developers. Maybe there's something that worked especially well for you from a math major point of view.
Nice video! I'm waiting for the example sheets video :)
Thank you! Coming soon! :)
My problem was that while I was a maths nerd, I was also a computer nerd, and had discovered Linux (this was in the mid to late 90s, when it was a brave new world that I thought was going to be big). I did get my maths Ph.D. in the end, but found that was my limit maths wise. These days I can appreciate it more than do it.
Thanks for the video. I’m very maths challenged and trying to resit my GCSE to increase my grade. I found this video very helpful. Id love to hear how you memorised it all and then applied it. Thanks.
One technique I try is what I call hierarchical memory. Basically you organise things as a bunch of 'one-pagers', that is, a chunk of at most a page (or so). You need to work out what sort of quantity you can memorise reliably in one go. For example a list of 5 things, of 10 things? Then you distil what you want to remember into small chunks, the main ones of which you drive in by repetition. (This is why the chunks need to be small, so that by the time you've got to the end of a page, you haven't forgotten the start of it -- if that's happening, use smaller chunks.) Eventually things take on a spidery-treelike-graph structure, where you have lots of single pages that refer to each other. Once you have that sort of thing memorised, you can start attaching other things to it.
Now to be clear, memorising like this is expensive, time and effort wise. So choose wisely what you spend the effort memorising on. As such, the most central and important things need to be driven in the deepest, like piles for the foundations of a building. Then new stuff can build on the old.
Next, once you have something memorised, practise using it. Also, recall things by writing them down again from memory, see what you remember, and what you don't. Like an experiment, it's not a good or bad thing, it's an experiment, you try it faithfully, observe the results, and learn. You and your learning become your own experiment. As you recall stuff, add notes and thoughts.
The related thing, learning-philosophy-wise is to start by finding your comfort zone: those things you know and can do comfortably. That's where you start your journey, each day. The aim is to slowly and surely build this comfort zone by gently pushing at the edges. Set challenges that you stand, say, an 80%-90% chance of succeeding. More and it's too easy. But you want to burn things in by successes: things that generate positive feedback (the yay! I did it feeling), rather than by failure (the oh no! this didn't work either). So you don't want your challenges to be too hard either. Most of the time at least. Some of the time do challenge yourself more, and you may be surprised, but those challenges are like explorative experiments which may give results, or may not.
Finally, don't spread yourself too thin: "I fear not the man who has practiced 10,000 kicks once, but I fear the man who has practiced one kick 10,000 times." -- Bruce Lee. It is the same in maths and many things (do a few things very well, rather than be average at a lot), but there is a more vast array of 'kicks' than in the martial arts, and you must choose the 'kicks' you wish to master wisely.
Thanks for the video
Hi Ellie, thank you so much...
great, I am math graduate student in Taiwan, you are so great.
Go to lectures. Write detailed lecture notes but don't expect to understand it all at the time. Back in your room rewrite your notes in detail filling in any missing steps so you fully understand it. Do problems and works with colleagues and tutors to resolve difficulties. Revise by rewriting notes in reduced form and learning them so you can write them from memory. (Got a first in Maths at Oxford).
Good video. I think I did everything you mentioned. I got my PhD in chemical engineering many years ago, and did very well because I was very disciplined in using good study habits. Here are my two cents:
1) We didn't have PC's or laptops when I was a student, only clunky mainframes. So, all notes were handwritten on paper. I think I'd find it hard to take notes on a computer, unless I could write it on the screen.
2) My best study habit was to write a summary of everything before taking an exam. I would reread all of the text material, class notes, and homework assignments, and summarize them. Once the summary was done, I could study off of it. BUT, I found that writing the summary in the first place was mainly how I incorporated the info into my brain. It was the journey, not the destination.
3) Your comment about problem solving in exams was interesting. Engineering is all math and science, so almost 100% of the exams involved problem solving. Facts are important, but we weren't regurgitating facts, we were using them.
How are the salaries for PhD in chemical engineering? Just finishing degree as Imperial but not sure to go for the PhD or change career for quant finance with a masters
@@davidc4408 I would go with what you like the most in science and math and match that set of skills with what the market has a demand for. Once you are the best in what you love to do the pay will follow. I would only shoot for PhD if I love to do research and share my knowledge through teaching.
What did you do?
Did u practice math every day?
Appreciate it, in my final year and have exams in 3 weeks; always loved pure maths and so chose those ones but commutative algebra and graph theory got me questioning every life decision
good luck, you'll do amazing!! hahaha i get you there😂
God calls you today! It doesn't matter if you are an agnostic, athiest,muslim whatever, the God of the Universe, Jesus Christ of Nazareth is Holy. He made us perfect like Him but all have sinned & fallen short of His glory, all have turned away, none is righteous and everyone is by default ,deserves the eternal wages of separation from God in hell. This is the wrath of God against sin is separation from Him, but because He is Holy, He must separate all sinners from Him , as all sin is egregious to Him. Now , here is the good news, what did God do for guilty sinners so they wouldn't have to go to hell? Jesus, the God of the Universe, took all of sin the is of mankind upon His
melf, and willingly suffered the wrath of God against sinners, that if you believe in Him, you will be saved. It's a court situation, imagine a robber entered a court asking the judge to pardon his robbery because He gave some of the money to the poor, and He bought mcdonald's for a kid with some of the money stole. The judge replies that though those are good works, they cannot excuse the fact that He stole 1 million, 20,000 USD . The thief then told the judge that time had passed so that means the theft can be forgiven. But the judge replies, that neither time nor good works can allow the theft to be forgiven Him. So the thief broke the law, so He must go to prison, but just before, someone paid the fine, so that we can be forgiven.
Not 100% sure why I enjoyed this video, as I've just finished my maths degree, but enjoyable none the less
What note-making app are you using on the iPad?
Excellent video. I would be interested to see a video where you would give a walkthrough the lecture notes for say, a single lecture, and explain your methods for note taking and revision in more detail.
Thank you so much! Yes, absolutely! I'll make sure to make a video on that! 🤩
greta stuff really enjoyed this
thank you so much!!
Could you do a video where you explain how you prepared for exams?
One thing you speak very well
Hi! Elli that was an excwllent video, I'm interested in your lecture notes, Could you share some of them pls?
It's wild how I came across this video randomly. I'm confident that if the Kingsman organization were a real thing, you’d be a candidate or a part of internal affairs that make the organization operate correctly.
Is the "matrix analysis" textbook popular at your department?
Finally something interesting about math smile
Hi Ellie i love math but I don't know how to study it as a beginner can you suggest how I should start
Is your mug a purchasable merch? Would love to get one!
it's not but I might create my own merch with mugs like that 😎
Where did you get that mug?! ❤️
hi Ellie! It's so inspiring to see a female mathematician like you! You inspired me to further pursue a Maths degree :)
The biggest prep is be prepared to alone. The ology courses will be in the bar at 6pm. Maths grap a bite and back at it.
I am enthusiastic about learning theoritical mathematics. What is the sequence of subjects and books that you would recommend a beginner. Can you make a video, so that one can learn undergraduate and graduate level theoritical mathematics, in the right sequence of books and subjects. Please
I made a similar mug for my mum when she was doing gcse math
Hi,Could you please share some of your materials of math during your journey
Thanks for wonderful video
What careers can one look at pursuing, having studied mathematics?
Have you ever noticed that when the lecturer has written a mistake on the board, he or she can erase it more easily than you can do so in your notes? I used to have a professor in a mathematical statistics course who would wing it doing a long derivation, something out of Kendall and Stuart, and get to the end, realize there was a mistake, and then patch things up in a dozen places. This happened repeatedly.
Hi el, would you be able to share your folder? The ref books and syllabi could be very useful for someone like me who's studying by meself at home in India and not in a university. Thanks, and cheers. Keep smilin.
hello! so i'm not legally allowed to share the syllabus for any of my university degrees otherwise i could risk getting my degree taken off me. however, a lot of the cambridge notes are available online! also use 'studocu' - i mention it in the video i upload today. it's a great resource for finding university lecture notes, past papers, etc!
the cubes 0:47
Congratulation!
What's the "Probability" someone who's never solved a single algebraic equation, already left formal education, always hated math but have a massive interest all of a sudden............ be able to reach your level of proficiency?
What do you prefer - iPad or Paper notes ?
Wondering if any math head could give me a hint, so basically I'm on a fast-track specialisation course in Export Management in Italy. Next module will be on Financial mathematics, before you ask there is no learning outcome sheet to look up to. I have no idea why they wanted to include financial mathematics in export, TBH my idea was to improve my business development skills, but here they go way too off-scope... so I'm seriously confused and I'm learning nothing about business management, way too focused on the theoretical side of economics.
What program are you using to use your ipad, or whatever you used, to write notes?
Good notes! ☺️
Omg I love your jacket
omg thank you!!
And now tell me how to study 6 other equally difficult subjects simultaneously with math... 😢
yeah...
Look up "how to study many subjects at once"
Bro, I'm juggling maths, statistics, computer science and financial risks as well as Accounting 😢
Become smart, what these youtubers don't tell u is that they're probably very intelligent, so once u become smarter, u will be able to tackle many difficult tasks
@@NicaKasendeThe same for me, except financial. Is terrible for our egos but wonderfull for our brains.
How to rank top first, have no social life or have no sleep. Can’t do three l must pick 2
👏👏👏
Please go through your lecture notes. Thank you.
I remember horror stories about grad school, things on reserve at the library with missing pages, lab experiments sabotaged, study groups where someone feeds false information to one or more students, paying for papers etc. getting tests out of the trash in the teachers copy machine area. Motivated, competative, agressive people so etimes do anything to get that advantage.
I usually try everything but nothing happens
do you recommend to reading or studying from a math textbook?
yes absolutely! practice example questions is so helpful in mathematics!
Hi Ellie,
Thank you so much for another amazing video. I'm going to uni this year to study maths, but in Germany (and in my 3rd language). Wondered if you had any tips or thoughts on studying maths at university level in a different language. Thanks again - love your videos:)))))
God calls you today! It doesn't matter if you are an agnostic, athiest,muslim whatever, the God of the Universe, Jesus Christ of Nazareth is Holy. He made us perfect like Him but all have sinned & fallen short of His glory, all have turned away, none is righteous and everyone is by default ,deserves gge eternal wages of separation from God in hell. This is the wrath of God against sin is separation from Him, but because He is Holy, He must separate all sinners from Him , as all sin is egregious to Him. Now , here is the good news, what did God do for guilty sinners so they wouldn't have to go to hell? Jesus, the God of the Universe, took all of sin the is of mankind upon His
melf, and willingly suffered the wrath of God against sinners, that if you believe in Him, you will be saved. It's a court situation, imagine a robber entered a court asking the judge to pardon his robbery because He gave some of the money to the poor, and He bought mcdonald's for a kid with some of the money stole. The judge replies that though those are good works, they cannot excuse the fact that He stole 1 million, 20,000 USD . The thief then told the judge that time had passed so that means the theft can be forgiven. But the judge replies, that neither time nor good works can allow the theft to be forgiven Him. So the thief broke the law, so He must go to prison, but just before, someone paid the fine, so that we can be forgiven.
Hey, I stumbled upon your comments and found out that we are kinda the same. I also plan to study in Germany, which is also my 3rd language. But first, i need to be accepted in Studienkolleg due to the unequal Bildungssystem in my country compared to Germany. I also wondering if I should go to Math degrees cause I can't imagine any other degrees that suit me lol, entweder Mathe oder Ingeneuer TT. I´m not the best at math or other science subjects, but I found that they are the most interesting subjects for me to study. Also all the best luck for you, and I hope you´ll achieve your goal. Ich drücke dir die Daumen
Optimisation as in programming and usually with linear models?
Hehe there is no 2d. Hehe.
programming and modelling yes :))
Maths
So do lectures notes go hand in hand with making cue cards?
for me, yes! i'm releasing a video today about how i revise with cue cards which will hopefully clear things up!😊
Where did the term “Maths” come from? I’ve gone my whole life hearing just “Math” and now it’s changed. What gives?
subscribe you today after watching your video on RUclips, can you please share a video related to logarithm and integration. I'm stuck in it😢
What app do you use to take notes?
Looks like word doc
It’s GoodNotes
Please make a video on Taylor Series….
What happens if you’re not very good at maths? Or even scared if it? 😢
I used to be scared of maths and it’s one of them topics you have to just dive into and push through the struggle. Important thing is to not give up. Start with the basics and build up
Damn I wish my professors uploaded videos of the lectures lol
I always wish I had done undergrad like this. I spent the entire time fucking around, getting high, and not attending class. It's a wonder I got a first in chemistry and then did a PhD in physics but my life has been a struggle because I still don't understand the basics that were being discussed in lectures at undergrad. Your advice is good, but I'm not sure if I would even follow it now because it requires a lot of self-discipline, of which I have none :p
Is it true that university make QI test?
i'm not sure, i have not heard about that before!
3:33 This isn't helpful for me. I have ADHD and my notes are always a mangled mess with me missing what's said. What is helpful is the teacher using a text book that covers the material in question.
Study, socialize, sleep. Choose two.
yo I suggest checking out this thing out, but you might have FOMO
I need that mug😂
IQ minimum requirement 124
Why you left Zoey 101?
I am from India, please give me a Cambridge University t-shirt.
I have also subscribed to your RUclips channel. Please send me one T-shirt.
ellie .. you are so beautyful.. and love you yo .. india bharat . chhattisgarh bhagalpur .. fm nikhil raj .. my favrate subject is mathematics💚💙💚💙😍🙋♂️🙌👦🇮🇳🇮🇳🇮🇳
I stand with Palestine free free to Palestine !
I like rational STEM women like you ... They are few on this planet ...
Few? You need to go out more
@@dunemae I said rational STEM not crazy or traditional STEM , meanings now differ ...
@@ahmedalshalchiLol the comment was unnecessary either way
@@unknowns78Thank you but the real problem for STEM people ( which I consider myself is one of them ) is they once they knew some of knowledge they get very proud of , this is called arrogance and craziness so what I said earlier was I am admiring her for being rational without arrogance ... and they ( STEM people ) are few like that in the world ...
You are too pretty to be a mathematician.
Thanks for the video. I’m very maths challenged and trying to resit my GCSE to increase my grade. I found this video very helpful. Id love to hear how you memorised it all and then applied it. Thanks.
I'm software engineer. I haven't studied math for a year. specifically since my university. lately I've been revising my math calculus for 2 months. I'm thrilled to learn more specially i want to work on advancement of deep learning algorithm. so I appreciate for your advise.