#maths posting

[lipshits-continuous]

Introduction to Topology Master Post

Metric Spaces

Topological Spaces and Continuity

Closed Sets and Limit Points

Hausdorffness

Connectedness

Path Connectedness

Compactness

Bases and Second Countability

Product Spaces

The Heine-Borel Theorem

Quotient Spaces

Important Examples

Conclusions and Remaining Questions

[study-diaries]

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 :))

[takinbreak]

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.

[mathman0k]

The phrase "give a single fuck" implies fucks form part of a group with a multiplicative identity. However, they are not commutative because giving a fuck before an event has a different effect than giving a fuck afterwards. This also implies that there is a multiplicative inverse to giving a fuck, which in general can be shown to be true.

Thus, fucks can form a non-commutative multiplicative group.

[iris-drawssandwiches]

I like how an acceptable way to solve something in my math class is to write magic runes into the paper while chanting calzone. My math teacher doesn't understand why it works but it always gets the right answer so why stop me. Most times I just use the machine as it works just as well! But when we aren't allowed to use the machines I break out the runes and chant as I write them. I then am the first one with an answer!

[felixcloud6288]

Some things I've said while trying to explain Proof by Contradiction to my students:

Our first step is to assume something false is true. This means reality going forward is highly subjective.

This doesn't work. We're going to try making it work. It won't work.

We need to be very thorough in breaking the broken reality.

If you feel like we shouldn't be able to do this, it's because you're right.

Stop trying to make sense of what's happening, we abandoned reason a long time ago.

We broke it which means reality is about to snap back to normal.

There are goblins in this dimension and they all passed the bar exam.

[greetings-inferiors]

We’re going over integrating factors in a lecture and it’s just so fucking cool I love maths so much it’s like poetry when you can multiply the whole equation by a factor and it’s now solvable but technically you never did anything to the equation at all it was always solvable urgh there is beauty I can’t put into words I love maths so much

[dontwakeup-ishu]

Maths ke peeche itna randi rona kyu jab stream apni marzi se zabardasti zidd karke li thi 😠😠

My honest response: I am just a girl 🎀

[cosmos-dot-semicolon]

my group theory lecturer has the most cultured and funniest set of notes i've ever seen

[jugdyzucchini]

Congratulations universe, you won. I was excited to wake up today because I was going to do maths the whole day.

[lipshits-continuous]

Being a mathematician does irreparable damage to you vocabulary. I have on more than one occasion forgotten that certain words have normal every day meanings

[takinbreak]

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!

[a-shooting-jade]

maths teacher told me I remind her of surd equations... for no particular reason 😭😭

[i-am-the-oyster]

[felixcloud6288]

Oh Magic Conch Shell, share with us your wisdom!!

For all positive integers n, let the function Ct(n) = n/2 if n is even and let Ct(n) = 3n+1 otherwise.

For all positive integers L, let Ct(n)^L = Ct(n) when L = 1 and let Ct(n)^L = Ct(Ct(n)^(L-1)) otherwise.