Maths Posting - Blog Posts
I actually hate linear algebra
Someone kill me now
Doing calculus without having a math background is such a flex
i…. i love it… λ 🥲
is this a valid notation? i wish it were, ill definitely be using it
What’s the worst thing about limits?
• Is it always having to amplify by the conjugate to eliminate indeterminate forms? NO.
• Is it having to learn some limits by heart (especially for trig functions)? NO.
• Is it having to sometimes use L’Hôpital-Bernoulli’s rule over and over again? NO.
• Is it having to just write “lim” before each line? YES. FUCKING YES. WHY OH GOD WHY I HATE THE NOTATION.
The most infuriating part of it is that it’s just a notation and it could so easily be changed, BUT NO, we’re stuck with this shit.
What’s the worst thing about limits?
• Is it always having to amplify by the conjugate to eliminate indeterminate forms? NO.
• Is it having to learn some limits by heart (especially for trig functions)? NO.
• Is it having to sometimes use L’Hôpital-Bernoulli’s rule over and over again? NO.
• Is it having to just write “lim” before each line? YES. FUCKING YES. WHY OH GOD WHY I HATE THE NOTATION.
The most infuriating part of it is that it’s just a notation and it could so easily be changed, BUT NO, we’re stuck with this shit.
just discovered the site “underground mathematics”, and only now i feel like ive entered the dark web of maths. spooky.
talking about web, i cant forget to mention the fact that the whole site and mathematics is organised along TUBE LINES like the LONDON UNDERGROUND !! now if that isn’t a graph theory reference i dont know what is!
I love the fact that it’s commonly believed the writer (and mathematician!) Lewis Carroll could have done a math diss on quaternions, their unintuitive multiplication and their non-commutative nature in the Mad Hatter scene in “Alice in Wonderland”.
“Why, you might just as well say that I see what I eat is the same thing as I eat what I see !”
All credits to 3Blue1Brown on Youtube (Video: “Visualising quaternions (4d numbers) with stereographic projection”)
Math Tips
(Pictures are not mine)
Well, let me tell you, we all have this love-hate relationship with this subject, right? The worst part is that when you don't know what the heck is going on, so, as a girl who studied maths (2 Volumes/textbooks) on her own during the year she was homeschooled, here are some tips and tricks that I did to get an A+ in my math finals!
Get your syllabus together
In the beginning I had no damn idea what was going on and it was just confusing. I had to do the first thing I did was taken my index/table of contents and mark the chapters which i knew very well and the ones I had no clue about. And then i arranged them with the marking scheme, like which one carries the most marks etc etc and study accordingly.
Complete lessons/chapters that you already know
When you finish off the things you already know then that's gonna give you the confidence you need even if you know only 1-2 chapters, learn it throughout and make sure that you'll get the answer no matter how twisted the sum is. If you're doubtful about the whole textbook like any normal person.... Start with the easy ones. (I know there are literally really no "easy" chapters, spare me)
Harder chapters need hard work
Most chapters like Trigonometry proofs, Geometry proofs, Algebra, Graphs, Mensuration and Calculus etc need more than minimum effort but here's a trick, what is the common thing in this? Yes, they're all formulae and theorem based which goes to my next point. These chapters are completely based on how much you've understood your basics.
Formulae and theorem cheatsheets
Make a list of all formulae and the theorem used in the book, write them chapter wise and no printouts or digital notes. Take a paper and write it down, no excuses. It helps you while you're practicing, revising and in the last minute review, it helped me damn much. Remember, maths is a sport. The basic formulae must come to you like reflexes.
YouTube is your best friend.
For every single chapter, go and watch the basics and how a sum is done step by step. A recommendation for this is Organic Chemistry Tutor who literally is one of the reasons i passed. He has videos from basic geometry, trigonometry, statistics to calculus. Search for your own YouTubers and be clear with concepts.
Math is fully memorization
Memorize formulae and theorems with the back of your hand, you should be able to recall them within seconds. Be thorough.
Memorize basic math values (if calculator isn't allowed)
Do this if you have a majority of chapters like Statistics, Mensuration, Profit/loss calculation etc, where large numbers are concerned. Memorize the first 10 square, cube, decimal and multiplication values. It may be dry but there are literally songs available for these things, I'm serious, i learnt the first 10 cube roots by listening to Senorita xD Search for rhymes and they'll definitely be many!!
Work it out!!!!!!
Can't stress this enough, atleast 30-40 mins is the minimum for maths. I'm serious, work out each sum, don't ever think it's a waste, you'll see the results. Practice makes perfect. Work out every single sum, from examples to exercise ones cause let's be honest, our examiners love to take problems from every nook and cranny of the book.
Whiteboard method
So, I made this up and it actually works, if you have a whiteboard or anything else, once you completed a chapter, take a random page and whatever sums you have on those two pages, you need to complete within a given time limit. It helps you to identify your weak points and where the hell you're losing both time and effort and not to mention that it gives you confidence boost up.
Hope this helps :))