I'm wondering whether I should take Pre-Calculus or just take Calculus without taking Pre-Calc. Is Pre-Calc really necessary/important for me to take Calculus?
pre calculus is just trigonometry rules
and some annoying algebra :3
and yes, you need to know trigonometry rules if your going to be taking their derivatives and integrating them
annoying algebra = factoring ridiculously high-degree polynomials :D
I can do factoring :p
Oh? Then factor this... \[\Large x^5 + 2x^4+4x^3+8x^2+16x+32\]
LOL nvm.. though do it if you're feeling bored...
lol i'm wondering whether i want 2 or not :3 Point is, let's say I do review trigonometry rules and over algebra 2 which I'm almost finishing in like less than 2 weeks, would i be fine in calculus ? o.O
Uhh... hard to say...lol it's called precalc for a reason... hang on...
Trying to recall my calculus 1
I don't think I did anything quite strenuous as far as the lessons in precalc are concerned... how about you, @amistre64 ? Do you remember your own calc 1 experiences? ^_^
Ugh lol got to take pre-calc anyways -_- on flvs it's a prerequisite :p answer solved lol :) but yeah just 2 know I'm curious about calc I :)
Now, to spam your thread... I wonder if you ever dreamed this'd be how to do it... \[\Large x^5 + 2x^4+4x^3+8x^2+16x+32\]\[\Large \color{red}{(x-2)}(x^5 + 2x^4+4x^3+8x^2+16x+32)\color{red}{(x-2)^{-1}}\]\[\Large \color{red}{(x^6-64)}{(x-2)^{-1}}\]\[\Large \color{red}{(x^3+8)(x^3-8)}{(x-2)^{-1}}\]\[\Large (x^3+8)\color{red}{(x-2)(x^2+2x+4)}{(x-2)^{-1}}\]\[\Large \color{blue}{(x+2)(x^2-2x+4)(x^2+2x+4)}{}\]
BTW, you wanna know what you'll start with in calc 1?
yeah sry 4 late reply :p was afk
First thing you'll do (they'll probably assume you've taken precalc) is introduce the concept of the limit, albeit intuitively...
For instance, a tame function, like a linear one, \[\large f(x) = 3x + 2\]
The concept of the limit of a function as x approaches a certain number... let's let x approach 0.
k :p i'll take a look into that :)
1 is (somewhat) close to zero, so the value of f(x) when x = 1 is...5. -1 is also that close to zero, so the value of the function when x = -1 is -1. Let's go closer... 0.5 is closer to zero, the value of the function at that point is 3.5 -0.5 is also that close to zero, the value of the function at that point is 0.5 I'll not go further, suffice it to say, as x goes closer and closer to zero, the value of the function gets closer and closer to 2. :P
It will be denoted... \[\Large \lim_{x\rightarrow 0}[3x+2]=2\]
lol ok sounds fun :p so will the value ever reach 2? :p or will it almost but never?
In this case, it does. You might say that the limit of the function as x goes to zero is just the function itself, evaluated at zero...after all, \[\large f(0) = 2\] So why bother with limits? ^_^
The answer is that a limit may exist, even though the function itself is undefined at a point. Study... and try to evaluate this limit... \[\Large \lim_{x\rightarrow 2}\frac{x^2-4}{x-2}\]
k i see :p & lol what math r u learning atm? :D
If you must know, it's abstract algebra (really fun), an introduction to modern geometries, combinatorics, introduction to complex analysis :3
Am I just supposed 2 factor (x^2-4)/x-2? That'd make it |dw:1374496502390:dw| & cool ok ^.^
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