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- just curious
- [11:25:00 AM] Himiko Werckmeister: what is ur math curriculum like in your grade?
- [11:25:32 AM] UnHolyAngelLord: what do you mean
- [11:25:45 AM] Himiko Werckmeister: Well
- [11:25:50 AM] Himiko Werckmeister: to put it more frankly
- [11:25:55 AM] Himiko Werckmeister: what are u guys learning rn?
- [11:26:20 AM] UnHolyAngelLord: well Idk what my grade is learning cause I am currently taking honors for my math
- [11:26:50 AM] Himiko Werckmeister: Cool
- [11:26:54 AM] Himiko Werckmeister: then in that case
- [11:27:03 AM] Himiko Werckmeister: wha are u learning in that class?
- [11:27:07 AM] Himiko Werckmeister: because if I am not busy
- [11:28:02 AM] Himiko Werckmeister: I am willing to help ur ass out
- [11:28:49 AM] UnHolyAngelLord: to be frank we just finished the chapter and took our test that I got a 90 on and we are learning something tomorrow
- [11:29:11 AM] Himiko Werckmeister: Hmm?
- [11:29:16 AM] Himiko Werckmeister: What is that chapter on?
- [11:29:45 AM] UnHolyAngelLord: complex equations like with a fraction in the demonator and numerator
- [11:30:09 AM] Himiko Werckmeister: uhh kk
- [11:30:17 AM] Himiko Werckmeister: that stuff looks easy as heck
- [11:30:23 AM] UnHolyAngelLord: I know
- [11:30:37 AM] UnHolyAngelLord: brb
- [11:30:40 AM] Himiko Werckmeister: kk
- [11:30:42 AM] Himiko Werckmeister: btw....
- [11:30:56 AM] Himiko Werckmeister: I feel that the your education system goes way too easy on you
- [11:31:11 AM] Himiko Werckmeister: like I feel the stuff in third year mathematics
- [11:31:15 AM] Himiko Werckmeister: can be taught in HS
- [11:31:40 AM] UnHolyAngelLord: well idk I just learn I never really cared
- [11:31:52 AM] *** Himiko Werckmeister auto facedesks ***
- [11:32:00 AM] Himiko Werckmeister: Alright....
- [11:32:07 AM] Himiko Werckmeister: did u cover polynomials yet?
- [11:32:32 AM] UnHolyAngelLord: yea beginning of the year last year
- [11:32:38 AM] Himiko Werckmeister: Ok
- [11:32:49 AM] Himiko Werckmeister: time for a little intellectual excercise
- [11:32:58 AM] Himiko Werckmeister: we all know in math class
- [11:33:09 AM] Himiko Werckmeister: if we want to find roots of a quadratic....
- [11:33:18 AM] Himiko Werckmeister: we deploy the quadratic formula
- [11:33:24 AM] Himiko Werckmeister: however for higher degree polynomials
- [11:33:31 AM] Himiko Werckmeister: such an approach isn't feasible
- [11:33:34 AM] Himiko Werckmeister: now my question to u is....
- [11:33:49 AM] Himiko Werckmeister: how would u find the roots of an nth degree polynomial?
- [11:34:00 AM] Himiko Werckmeister: where n > 4
- [11:34:25 AM] UnHolyAngelLord: shit you are telling me to remember give me a minute
- [11:34:50 AM] Himiko Werckmeister: kk
- [11:35:26 AM] Himiko Werckmeister: js I only need like accuracy to 4 decimal places
- [11:42:02 AM] Himiko Werckmeister: tell me when ur done
- [11:43:10 AM] Himiko Werckmeister: Factor the polynomial....
- [11:43:29 AM] Himiko Werckmeister: x^4+5*x^3+2
- [11:43:44 AM] Himiko Werckmeister: Err I mean.....
- [11:43:50 AM] Himiko Werckmeister: find the zeros of it
- [11:44:57 AM] UnHolyAngelLord: fuck zeros is what screwed me over
- [11:45:13 AM] *** Himiko Werckmeister laughs extremely hard ***
- [11:45:21 AM] Himiko Werckmeister: Okk, calm urself down
- [11:45:32 AM] Himiko Werckmeister: allow me to present you something
- [11:45:39 AM] Himiko Werckmeister: that your teachers will never tell you
- [11:45:45 AM] Himiko Werckmeister: because they don't want you to know
- [11:46:04 AM] UnHolyAngelLord: what
- [11:46:12 AM] Himiko Werckmeister: What you essentially do.....
- [11:46:30 AM] Himiko Werckmeister: is pick any two initial estimates
- [11:46:39 AM] Himiko Werckmeister: then run the Bisection method on it
- [11:47:03 AM] UnHolyAngelLord: Bisection? I didn't learn that?
- [11:47:09 AM] Himiko Werckmeister: Welps
- [11:47:16 AM] Himiko Werckmeister: that should have been taught in high school
- [11:47:19 AM] Himiko Werckmeister: the main idea is....
- [11:47:23 AM] Himiko Werckmeister: you run a binary search
- [11:47:28 AM] Himiko Werckmeister: to find the roots of any equation
- [11:47:46 AM] UnHolyAngelLord: ok
- [11:48:10 AM] UnHolyAngelLord: im really starting to hate math now @_@
- [11:48:14 AM] Himiko Werckmeister: https://en.wikipedia.org/wiki/Bisection_method
- [11:48:25 AM] Himiko Werckmeister: Uhh don't give up your hopes just yet
- [11:48:30 AM] Himiko Werckmeister: its not that bad
- [11:48:52 AM] UnHolyAngelLord: I used to like math 100% now gah I hate it
- [11:49:12 AM] Himiko Werckmeister: Geez
- [11:49:17 AM] Himiko Werckmeister: don't blame me
- [11:49:29 AM] Himiko Werckmeister: you can blame the education system for that
- [11:49:35 AM] UnHolyAngelLord: No I was hating since I took honors Geometry
- [11:49:40 AM] UnHolyAngelLord: last year
- [11:49:46 AM] Himiko Werckmeister: Ah I see
- [11:49:54 AM] Himiko Werckmeister: Geometry flipping sucks
- [11:50:07 AM] Himiko Werckmeister: I am better off solving stuff algebriacally
- [11:50:14 AM] UnHolyAngelLord: yep
- [11:50:19 AM] Himiko Werckmeister: Did I open ur mind?
- [11:50:26 AM] Himiko Werckmeister: *blow ur mind with the bisection thing
- [11:50:48 AM] UnHolyAngelLord: I barely understand but in terms off blowing my mind yes casue I am confused as fuck
- [11:50:54 AM] Himiko Werckmeister: and wait that wikipedia page is terrible
- [11:51:02 AM] Himiko Werckmeister: I'll link you to a youTube video
- [11:51:04 AM] Himiko Werckmeister: since....
- [11:51:09 AM] Himiko Werckmeister: fk reading textbooks
- [11:51:35 AM] UnHolyAngelLord: wait why am I doing polynomials I stopped that doing that stuff last you
- [11:51:37 AM] Himiko Werckmeister: https://www.youtube.com/watch?v=XPUsRgaMsUs
- [11:51:37 AM] UnHolyAngelLord: year
- [11:51:45 AM] Himiko Werckmeister: Well its for motivation purposes
- [11:51:52 AM] Himiko Werckmeister: to tell u all dirty little math secrets
- [11:52:01 AM] Himiko Werckmeister: that your teachers will never tell u
- [11:52:08 AM] UnHolyAngelLord: hm ok then
- [11:52:45 AM] Himiko Werckmeister: lets suppose a scenerio like this happens:
- [11:53:19 AM] Himiko Werckmeister: Your teacher makes you find zeros of a polynomail
- [11:53:30 AM] Himiko Werckmeister: and yes this will creep back up and haunt you
- [11:53:35 AM] UnHolyAngelLord: ugh
- [11:53:38 AM] Himiko Werckmeister: later in grade 12
- [11:53:44 AM] Himiko Werckmeister: when you are doing trig algerbra
- [11:53:47 AM] Himiko Werckmeister: and u go liek
- [11:53:50 AM] Himiko Werckmeister: FK FACTORING!
- [11:53:56 AM] Himiko Werckmeister: and you want a close estimate
- [11:53:56 AM] UnHolyAngelLord: I already say that
- [11:54:08 AM] UnHolyAngelLord: ive been doing factoring for a few months
- [11:54:13 AM] Himiko Werckmeister: then u just run any of the root finding method
- [11:54:33 AM] Himiko Werckmeister: Bisection is the most safe but very slow in terms of finding the root you want
- [11:54:45 AM] Himiko Werckmeister: Newton's Method [another root finding method]
- [11:55:02 AM] Himiko Werckmeister: (Note: you would want to learn a bit about deriatives before diving in
- [11:55:06 AM] Himiko Werckmeister: (more on this latter
- [11:55:08 AM] Himiko Werckmeister: (*later
- [11:55:25 AM | Edited 11:55:57 AM] Himiko Werckmeister: May diverge if you select an intial estimate such that its deriative evaluates close to 0
- [11:56:02 AM] Himiko Werckmeister: but if you are lucky
- [11:56:08 AM] Himiko Werckmeister: its relatively efficient
- [11:56:18 AM] Himiko Werckmeister: in terms of findng the root you want
- [11:56:34 AM] Himiko Werckmeister: (btw feel free to ask any questions and interrupt me
- [11:56:51 AM] Himiko Werckmeister: And ofc we cannot forget about False Position or Secant method
- [11:57:19 AM] UnHolyAngelLord: gah all this information is gonna be in my head while I learn new stuff tomorrow
- [11:58:18 AM] Himiko Werckmeister: hm?
- [11:58:21 AM] Himiko Werckmeister: what is this new stuff?
- [11:58:40 AM] UnHolyAngelLord: I learn new stuff in math literally tomorrow but this is gonna be in my head
- [11:59:08 AM] Himiko Werckmeister: alright...
- [11:59:23 AM] Himiko Werckmeister: use the root finding methods I just described
- [11:59:30 AM] UnHolyAngelLord: ok
- [11:59:30 AM] Himiko Werckmeister: if you want to make your friends jealours
- [11:59:36 AM] UnHolyAngelLord: understood
- [11:59:44 AM] Himiko Werckmeister: or next time you get a polynomial quesiton
- [11:59:51 AM] Himiko Werckmeister: and if the teacher marks the question wrong
- [11:59:53 AM] Himiko Werckmeister: complain
- [12:00:29 PM] UnHolyAngelLord: ok
- [12:00:30 PM] Himiko Werckmeister: Sayy.....
- [12:00:43 PM] Himiko Werckmeister: did you guys learn linear systems in school yet?
- [12:00:56 PM] UnHolyAngelLord: I think but I don't know for sure
- [12:01:03 PM] Himiko Werckmeister: Yosh
- [12:01:09 PM] Himiko Werckmeister: another dirty little secret
- [12:01:15 PM] Himiko Werckmeister: that your teachers will never ever tell u
- [12:01:40 PM] Himiko Werckmeister: your teachers may ask you to solve the system by manual elimination
- [12:01:43 PM] Himiko Werckmeister: but....
- [12:01:50 PM] Himiko Werckmeister: in fact there is something much slicker
- [12:02:22 PM] Himiko Werckmeister: http://www.purplemath.com/modules/systlin6.htm
- [12:02:31 PM] Himiko Werckmeister: ^You deploy Gaussian Elimination
- [12:02:57 PM] Himiko Werckmeister: or.... if you just want your answer to five decimal places (again ur teacher might ask for thhat)
- [12:03:10 PM] UnHolyAngelLord: ok
- [12:03:18 PM] Himiko Werckmeister: You deploy Gauss-Seidal iteration
- [12:03:29 PM] Himiko Werckmeister: Jacobi Iteration
- [12:03:40 PM] Himiko Werckmeister: or SOR [Succesive over relaxation]
- [12:03:50 PM] UnHolyAngelLord: hm ok then
- [12:04:01 PM] Himiko Werckmeister: Again another tool to make your friends jealous
- [12:04:12 PM] Himiko Werckmeister: and also make it easier for your teacher to mark ur shit
- [12:04:24 PM] Himiko Werckmeister: just know some matrix algerbra basics
- [12:04:28 PM] Himiko Werckmeister: and your set
- [12:04:36 PM] UnHolyAngelLord: hm ok then thanks
- [12:05:11 PM] Himiko Werckmeister: no problems
- [12:05:28 PM] Himiko Werckmeister: those stuff isn't taught until third year math
- [12:05:35 PM] UnHolyAngelLord: ah ok
- [12:05:45 PM] Himiko Werckmeister: and now you think of it....
- [12:05:48 PM] Himiko Werckmeister: that makes me angry
- [12:06:01 PM] Himiko Werckmeister: do u understand part of the video I linked u?
- [12:06:44 PM] UnHolyAngelLord: im on phone at the moment it doesn't open links im gonna watch it later
- [12:06:56 PM] Himiko Werckmeister: alright
- [12:07:01 PM] Himiko Werckmeister: let me know if anything confuses you
- [12:07:05 PM] UnHolyAngelLord: ok
- [12:07:16 PM] Himiko Werckmeister: now are u mind blown now?
- [12:07:46 PM] UnHolyAngelLord: yes
- [12:07:52 PM] Himiko Werckmeister: hehe
- [12:08:04 PM] Himiko Werckmeister: at this rate....
- [12:08:10 PM] Himiko Werckmeister: you may know more math
- [12:08:12 PM] Himiko Werckmeister: than your math teacher
- [12:08:28 PM] UnHolyAngelLord: ha maybe
- [12:10:17 PM] Himiko Werckmeister: At any rate
- [12:10:26 PM] Himiko Werckmeister: from looking at what you learnt just now
- [12:10:37 PM] Himiko Werckmeister: you should be able to teach yourself calculus
- [12:10:46 PM] UnHolyAngelLord: hm ok
- [12:10:55 PM] Himiko Werckmeister: its not that bad
- [12:11:04 PM] Himiko Werckmeister: I started teaching myself that stuff in grade 1
- [12:11:06 PM] Himiko Werckmeister: *10
- [12:11:14 PM] Himiko Werckmeister: Three main ideas
- [12:11:16 PM] Himiko Werckmeister: Limits
- [12:11:19 PM] Himiko Werckmeister: Deriatives
- [12:11:23 PM] Himiko Werckmeister: and Intergrals
- [12:11:40 PM] Himiko Werckmeister: main idea to take away for each
- [12:11:52 PM] Himiko Werckmeister: Limit- as x approaches a specific value
- [12:12:03 PM] Himiko Werckmeister: what value of y does it arbitarily approach to?
- [12:12:10 PM] Himiko Werckmeister: Deriatives- you find a slope of a function
- [12:12:13 PM | Edited 12:12:52 PM] Himiko Werckmeister: simple as that
- [12:12:17 PM] Himiko Werckmeister: Intergrals
- [12:12:24 PM] Himiko Werckmeister: u find an area under a curve
- [12:13:04 PM] UnHolyAngelLord: hm ok
- [12:13:35 PM] Himiko Werckmeister: Main half assed mistakes ppl make
- [12:13:42 PM] Himiko Werckmeister: its all about the Algerbra
- [12:13:58 PM] UnHolyAngelLord: ok
- [12:15:16 PM] Himiko Werckmeister: Once u learn a bit about differential equations
- [12:15:27 PM] Himiko Werckmeister: I can teach you some techniques
- [12:15:43 PM] Himiko Werckmeister: on finding approximate solutions to them
- [12:15:50 PM] UnHolyAngelLord: hm ok
- [12:16:11 PM] Himiko Werckmeister: I think you have potential to learn some of this supposedly hard stuff
- [12:16:20 PM] Himiko Werckmeister: so I consider u my fellow skype buddy and student
- [12:16:59 PM] UnHolyAngelLord: ok smiles
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