Can someone help me do actual math

[simple hornet]

Like I'm still in school, but im just bored of the same syllabus being repeated year after year, I feel like i can do more than class 9 math, i want to do actual things in math, i literally feel like im beyond school

[fluid saffron]

if you want to evolve in math alone i suggest you try to discover the world of math. There are many different fields in maths like calculus, linear algebra, probabilities, and many more. On youtube there are many videos. 3Blue1Brown has many series to different topics, blackpenredpen has interesting exercices sometimes, there are also many videos that explain the history of math which can lead to understand better how we "discovered" things in math and this can lead to create logical connection in your understanding of maths. You can also buy a math book with advanced exercises.
You have many ways to evolve

[simple hornet]

no like i want to do math above my level but i dont know where to start from

[gray bobcat]

Go to your schools counselor and schedule a meetinhg

[simple hornet]

I have tried calculus and many other things but everytime I do one question, the next question is too hard for me and I am not able to comprehend where I would use differentiation, integration, etc. in physics/chemistry/math in other words, i am not able to comprehend where should i use it in everyday life

[simple hornet]

yeah my school doesnt have those

[gray bobcat]

Are you looking to pursue it by yourself then

You could start by watching some lectures

[simple hornet]

yeah thats what im asking

where do i start from

[gray bobcat]

Lectures YouTube textbooks

Lots of ways

[fluid saffron]

Where are you right now in maths?

[simple hornet]

can you recommend me some?

[simple hornet]

like class 9 syllabus in my class is basic to intermidiate form of math

[gray bobcat]

No but I'm sure some people in #calculus could

[simple hornet]

it has introduction to coordinate geo

ok

and it has basic polynomials

like finding zeroes of polynomial

and types of polynomials

and factorizing

and it contains basic lines and angles

it also has one chapter of statistics

[gray bobcat]

Ok so standard grade 9

[simple hornet]

yeah

[gray bobcat]

And you are much past this level?

[simple hornet]

Yeah I think so

I'm beyond this

[gray bobcat]

Like you know concavity polynomial division etc

You mentioned calculus

[simple hornet]

just a little weak in statistics

[simple hornet]

thats not in syllabus

[fluid saffron]

A usage that is very common: you can use integration to calculate the position of an object, it's speed only by starting with it's acceleration.

[simple hornet]

calculus im doing other than school

out of syllabus

[simple hornet]

o thanks

but differentiation?

[gray bobcat]

I mean have you taught yourself the prerequisites for calculus?

[simple hornet]

like?

trignometry?

[gray bobcat]

Yes and general precalc stuff

[simple hornet]

I know basics of trignometry, all the functions and some identities

and i have a grasp on the basic chapter of class 10

trig

and im kinda weak in other binomial theorem and stuff

and sets im noob too

[fluid saffron]

you can use it to do the inverse of what i described. You can also use differentiation to find out what the max or min value is of a function. This can be useful when you are limited in ressources and want to find out what are the most optimal parameters for your application

[simple hornet]

like can you give an example

[gray bobcat]

Unit 1: Polynomial and Rational Functions

30%–40%

Unit 2: Exponential and Logarithmic Functions

27%–40%

Unit 3: Trigonometric and Polar Functions

30%–35%

Unit 4: Functions Involving Parameters, Vectors, and Matrices

This is what AP precalc teaches

(a standarized class that is supposed to come before calculus)

[simple hornet]

can i find lectures of these on youtube?

[gray bobcat]

Yes I'm sure

[simple hornet]

ok

its a shame that indian schools dont feature these good lectures and subjects

damn bro

[gray bobcat]

https://youtu.be/eI4an8aSsgw?si=dOOed8DAQIC0E6WN

https://youtube.com/playlist?list=PLDesaqWTN6ESsmwELdrzhcGiRhk5DjwLP&si=w1ULXpAlF0PC04Ap

Here's a few things I found from a quick yt search

[simple hornet]

https://www.youtube.com/watch?v=eI4an8aSsgw is this good?

[simple hornet]

yeah i found same result

[gray bobcat]

Dont see why it wouldn't be

[simple hornet]

yeah

Well thanks guys

I'll start with this video tmrw

Finally I can get a grasp on the basics

[fluid saffron]

sure. let's say you want to have a rectangle with a circumference of 100 with the greatest area possible. Now we want to know the length of the sides of the rectangle. To find out what the max is you can use differentiation. (that's a very simple use case but it's just to give you an example)

[fluid saffron]

good luck

[simple hornet]

yeah thanks

[simple hornet]

so you say greatest area possible, how do i comprehend that, basically infinity???? or what

[simple hornet]

and what do you mean by max here?

[gray bobcat]

Well you can't get infinity from just 100

You want to find the side lengths that give the greatest area

[simple hornet]

greatest area possible..

[simple hornet]

how do i find

[gray bobcat]

With differantation 😉

[fluid saffron]

think a bit about it. I think its a good exercise where you need to think a bit.

[simple hornet]

no steps😃

[simple hornet]

ok

[fluid saffron]

Some important aspects would be: how to calculate the circumference of a rectangle, the area of a rectangle, how could you transform it to a function and then how could you find the max

[simple hornet]

oh

ill try to solve it

I literally tried a same type of question

today

but it was a cuboid

[fluid saffron]

its very similar

[simple hornet]

and i just calculated C as a function of width

[simple hornet]

alr

i dont get it

im dumb

no wait

hang on

i think i got it

[simple hornet]

ok i admit, i took a little help of google at first, but I understood it and now I know why the answer is l = 25 cm and b = 25 cm

[fluid saffron]

Would you be able to explain how it works?

[simple hornet]

yes

[fluid saffron]

care to explain?

[simple hornet]

ok

so we have rectangle, Perimeter/circumference = 100 cm
let the length and breadth be l and b respectively
so
2(l+b) = 100
l+b = 50
b = 50 - l
A = lb
A = l(50 - l)
A = 50l - l^2
dA/dl = 50 - 2l
we set 50 - 2l = 0 for the critical point
-2l = -50
l = 25
now we have l
l+b = 50
25 + b = 50
b = 25
this tells us that the shape is a square and not a rectangle and all sides are 25 cm in length

im fr i had almost done it in the second try but in the middle of the steps near the differentiation part, i thought im doing it wrong and went to google mb

[fluid saffron]

exactly!

[simple hornet]

yeah

ill watch that video tmrw

then i can do more :))

[fluid saffron]

try to avoid google when you are stuck

[simple hornet]

yeah bro

i always do that for sm reason :/

[fluid saffron]

me too but you dont have google in an exam xD

[simple hornet]

like am i not confident

yeah lol

[fluid saffron]

good luck

[simple hornet]

yeah

thanks bro

bye gn

[tardy hemlock]

Edexcel Pearson a level maths pure 1 and 2 then core pure1 and 2 then further pure 1 and 2