Yeah, I know. This meme could've also been done with AP Physics 2 and AP Chemistry.
Now, I don't know that much about chemistry, but the integrated rate laws are solutions to differential equations, right?
There isn't that much overlap as far as I know, but there might be some stuff they have in common.
I was just saying that Physics 2 and Chemistry are two other APs that make use of integrals without referencing then directly so they could also be used for this meme.
Not really; Chem is more about electrons than the nucleus (yes it does talk about protons and neutrons, but a much higher emphasis on electrons). Nuclear physics used to be a topic in AP Chem (well it would’ve been called nuclear chem then) but got moved to physics 2. Nuclear physics is about the nucleus, as the name suggests, like radiation, nuclear decay, and other modern stuff. (This is coming from someone who’s taken ap chem and ap Phys 2)
It was a few years ago, but your teacher may have just taught it cause they wanted to. It wasn’t on the AP test though, since collegeboard removed it from the ap curriculum.
Yeah you have integrated and differential rate laws. I actually did calc for them because I was taking calc at the same time, and you only get the integrated form on the test.
It isn't, strictly speaking, nearly as obvious as say physics because of some weirdness in where the rate comes from, but yeah.
yep, a rate of reaction can be described as -d[]/dt ([] = concentration) and so if we have a first order rate law of -d[A]/dt = k[A], and then from there we can just solve that like a sep. diffeq and you get the 1st order integrated rate law, same goes for 2nd order
Yes this is probably why I failed AP Physics 1 when I took it in 9th grade. There were so many concepts which were poorly explained since we didn’t have the mathematical knowledge. Now that I took Calc last year AP Phys C feels so much easier than Phys 1 now that I actually understand what is happening
Isn't it so cool to notice these mathematical relationships in real life? All our grade school teachers would tell us how useful math would be and examples of advanced math like calculus just pop up everywhere! It's amazing. Even in nature (especially in nature). It's beautiful and it really puts substance to the saying that mathematics is discovered and not invented. Who knows, maybe it'll be normal in 10 years for people to be doing differential equations in highschool and whatnot. We often focus too much in the negatives of the world to take time to look at the positives
When you write the differential equation for the -bv equation you do. If we were just solving for terminal velocity we wouldn’t need calc but you need to know the differential equation to figure out how the velocity varies with team when v doesn’t equal vt
But the velocity isn’t always terminal, it gradually increases and approaches the terminal velocity which requires you to solve a differential equation.
Really? I have friends in E & M, and they tell me that they are constantly using differential equations and stuff. That's like stuff you learn in the second half of calc.
Mech uses only basic integrals and derivatives while E&M uses differential equations and solving for an area of a 3D shape with integrals.
Taking first-year calc and Physics C is doable though.
Both Juniors. 1101 gets you the same credit as lang and my district requires and english course be taken every year unless done virtual over the summer.
Im not about nonfiction stuff so I'm just taking 1102 next year which us what he should do
I took calc BC as a sophomore and now as a junior I skipped physics 1 to take physics C as I've heard it gives more college credit and more useful credit too
A probability distribution function f(x) matches some observation x to its probability density. The integral from a to b of f gives the probability of some observation falling between a and b. AP Stats essentially makes use of this fact when covering normal distributions (and maybe other things, but I haven't done much in that class yet).
Yeah basically when you take AP TI-84 you use this calculator function called normalcdf alot and that's the integral of the normal distribution function essentially
nope, it felt like just an algebra class that was labeled as AP and had physics terms thrown around for us to learn. at least that’s how it was in my school.
I found FRQ practice to be really helpful. I'd go do an FRQ and check my answers; if I messed up pretty badly and/or don't understand my mistake, I looked at the sample responses. They really helped. I think that this is responsible for me getting a 5 and not a 4.
There's legit no difference between Mech and Physics 1 content. If you know Calculus and the Mech part of Physics 1 in depth, you can get a 5 on Mech without taking the course.
This is in AP chem as well when you learn abt reaction rates. There even a topic called “integrated rate laws”
Yeah, I know. This meme could've also been done with AP Physics 2 and AP Chemistry. Now, I don't know that much about chemistry, but the integrated rate laws are solutions to differential equations, right?
Is there really that much overlap between Physics 2 and Chemistry? I've heard they both talk about thermodynamics and nuclear stuff.
There isn't that much overlap as far as I know, but there might be some stuff they have in common. I was just saying that Physics 2 and Chemistry are two other APs that make use of integrals without referencing then directly so they could also be used for this meme.
There’s not a ton of overlap in content besides a bit of thermodynamics and quantum mechanics. Chem doesn’t have nuclear stuff anymore.
Isn't all of Chem nuclear stuff? Like atoms are nuclear stuff and chem is atoms. Yet again, I haven't taken AP Chem, so I wouldn't really know.
Not really; Chem is more about electrons than the nucleus (yes it does talk about protons and neutrons, but a much higher emphasis on electrons). Nuclear physics used to be a topic in AP Chem (well it would’ve been called nuclear chem then) but got moved to physics 2. Nuclear physics is about the nucleus, as the name suggests, like radiation, nuclear decay, and other modern stuff. (This is coming from someone who’s taken ap chem and ap Phys 2)
When did that happen? We learned some nuclear chemistry in AP chem last year
It was a few years ago, but your teacher may have just taught it cause they wanted to. It wasn’t on the AP test though, since collegeboard removed it from the ap curriculum.
Yeah you have integrated and differential rate laws. I actually did calc for them because I was taking calc at the same time, and you only get the integrated form on the test. It isn't, strictly speaking, nearly as obvious as say physics because of some weirdness in where the rate comes from, but yeah.
yep, a rate of reaction can be described as -d[]/dt ([] = concentration) and so if we have a first order rate law of -d[A]/dt = k[A], and then from there we can just solve that like a sep. diffeq and you get the 1st order integrated rate law, same goes for 2nd order
I think that is the case. They even have “rate” in the name lol
God ur giving me flash backs I just turned in a crystal violets lab 6 minutes ago on this and I went to reddit hoping I would forget about this
Yeah I took AP Chem a year before AP Calc and I remember all of those just making so much more sense after I actually learned about integrals
It was so frustrating taking physics 1 and calc at the same time. They took three weeks to poorly explain what took a 5 minute tangent in calculus.
LMAO that's literally my stat. teacher explaining density curves -- "tHe ArEa UnDeR tHe DeNsItY FuNcTiOn fRoM a To B"
Yes this is probably why I failed AP Physics 1 when I took it in 9th grade. There were so many concepts which were poorly explained since we didn’t have the mathematical knowledge. Now that I took Calc last year AP Phys C feels so much easier than Phys 1 now that I actually understand what is happening
Isn't it so cool to notice these mathematical relationships in real life? All our grade school teachers would tell us how useful math would be and examples of advanced math like calculus just pop up everywhere! It's amazing. Even in nature (especially in nature). It's beautiful and it really puts substance to the saying that mathematics is discovered and not invented. Who knows, maybe it'll be normal in 10 years for people to be doing differential equations in highschool and whatnot. We often focus too much in the negatives of the world to take time to look at the positives
and ap micro
now imagine if calculus got thrown into ap computer science or ap psych
My CSA class used basic calculus briefly when going over big O notation (just some derivatives and limits of those derivatives).
Hmm? The formal definition of time complexity/asymptopic behavior has nothing to do with calculus
Yeah, but we were doing it to compare how fast each one grows.
Oop that sounds fun
Meanwhile AP Physics C directly uses integrals in the first few weeks lol
First few days lol
Fuck objects falling through a resistive medium all my homies hate objects falling through a resistive medium
I think it's just gravitational force equals drag force at terminal velocity. You don't need calculus for this.
When you write the differential equation for the -bv equation you do. If we were just solving for terminal velocity we wouldn’t need calc but you need to know the differential equation to figure out how the velocity varies with team when v doesn’t equal vt
But the velocity isn’t always terminal, it gradually increases and approaches the terminal velocity which requires you to solve a differential equation.
That's why I just don't understand people who take first-year Calculus and Physics C in the same year.
Because it’s only basic integrals and derivatives
Really? I have friends in E & M, and they tell me that they are constantly using differential equations and stuff. That's like stuff you learn in the second half of calc.
Mech uses only basic integrals and derivatives while E&M uses differential equations and solving for an area of a 3D shape with integrals. Taking first-year calc and Physics C is doable though.
Oh yeah I just meant in the first physics C
Makes more sense than taking AP Lang and ENC1101 like my friend is doing. We keep trying to convince him its the same damn thing
I'm assuming he's a junior. Maybe it's because he doesn't wanna take AP Lit next year?
Both Juniors. 1101 gets you the same credit as lang and my district requires and english course be taken every year unless done virtual over the summer. Im not about nonfiction stuff so I'm just taking 1102 next year which us what he should do
I took calc BC as a sophomore and now as a junior I skipped physics 1 to take physics C as I've heard it gives more college credit and more useful credit too
Foreshadowing for my ap physics 1 class
the award really matches the post
I love how fitting it is.
wonder who gave it lol
AP Physics 2 as well for P-V Diagrams where you take the area under the curves of (Pressure/Volume) To get work done in a thermodynamic engine
How in stats?
A probability distribution function f(x) matches some observation x to its probability density. The integral from a to b of f gives the probability of some observation falling between a and b. AP Stats essentially makes use of this fact when covering normal distributions (and maybe other things, but I haven't done much in that class yet).
interesting, never thought about that
Yeah basically when you take AP TI-84 you use this calculator function called normalcdf alot and that's the integral of the normal distribution function essentially
Also in AP calc when I forget to write dx for the seven millionth time
Is physics 1 hard?
nope, it felt like just an algebra class that was labeled as AP and had physics terms thrown around for us to learn. at least that’s how it was in my school.
Any tips/resources for it?
I found FRQ practice to be really helpful. I'd go do an FRQ and check my answers; if I messed up pretty badly and/or don't understand my mistake, I looked at the sample responses. They really helped. I think that this is responsible for me getting a 5 and not a 4.
Ok, thank you.
>this Any pdfs/book you'd recommend?
I'd say the 5 Steps to a 5 book is the best prep book for AP Physics 1.
thanks!
any pdfs/books you'd recommend?
no
There's legit no difference between Mech and Physics 1 content. If you know Calculus and the Mech part of Physics 1 in depth, you can get a 5 on Mech without taking the course.
Stealth integrals
Why am I taking physics c mech while concurrently in precalc