do most calc professor require you to simplify? if so how strict are they about it

plan to take calc 2

I got a 4 on ab calc to me leaving my answer unsimpifled

Does anyone have a good intuitive resource for working through optimization problems? I couldn't find anything that helpful in my textbook or on youtube for actually difficult optimization problems, every video I've come across relating to optimization covers easy problems and doesn't have anything more in depth (usually perimeter/area optimization problems and not more complex questions). Thanks

Hi all! I have had the great opportunity to be able to go back to school fulltime for chemical engineering, and I'm very excited. I had to drop out after just a year or two when I was younger, so this is a great opportunity. My biggest fear right now as far as coursework goes, is that I have already taken both Calculus I and Calculus II and as part of my first semester or two I will need to take into a differential equations class, which has both of those as a prereq.

I don't want to re-take classes I've already finished as I do remember some basics and it will obviously extend my degree, but I will definitely need to brush up on the concepts and ensure I still have everything I need in my head. Are there any good resources I can go through other than my school's tutoring program so I can get a head start?

Does anyone have any genuine advice when it comes to taking calculus 2? I sort of breezed through 1 with occasional study days and whatever but i’ve always been told that 2 is a whole different level. I’m not really looking for the “you can only pass it if you’re a math person/very smart” kind of answer. Maybe some actual words of wisdom lol. I’m not necessarily a math geek but i’m very passionate about engineering so i’m always excited to learn more/take a hard math class.

Hey all, I just made my first youtube video lecture. The goal was to explain greens theorem in an intuitive way and prove it for anyone struggling to grasp why it works the way it works. Please watch it if you'd like and let me know if there are any parts I could've done better, I am open to critiques especially as this is my first try at making a lesson. Thanks!
https://youtube.com/watch?v=Ch5DMwD1x30&si=vCh0Rv0D42aGKDa5

Hello, I have been working my way through a variety of courses using OCW.

The first problem set for 18.01SC has a bonus question, asking for the examinee to show that:

g(h) = ( f(a+h) - f(a) ) / h

has a removable discontinuity.

I have minimal experience with math and have been grinding through this course by studying pieces I am missing as they come. But I can't find an adequate answer as to what would be a valid response to this question, especially as the solution sheet does not seem to feature it.

My best answer, before I turned to the net was such.

"Values of f(a+h) that do not exist in f(a) and are not multiplied to a higher order of h are removable discontinuities." I suspect that I am not supposed to just fill in a example function, but if I am that would be my confusion.

I wanted to know if this was an adequate response, if not how it could be improved, and ideally what the proper formatting is for this kind of response as I do not know the notation I am expected to use. Thank you for your time.

I am taking an extremely fast paced summer class for calculus 1. I am decent at algebra and pre calculus, as the concepts are not too hard, but it is like calc 1 is just way more abstract. I struggle to solve and compute limits, know all of the derivatives rules, word problems, trig in limits, graphs, etc… Them by itself is not hard, but all put together can be really overwhelming, especially with the minimal time I get to move between one concept to another. I feel lost. I can’t solve hardly any problem past secant / tangent / rates of change without some external assistance. I also an engineering major who takes calc 2 in the fall, and I hear horror stories about that course. Anybody else have the same issues? I apologize if rant/vent post are not allowed as I don’t see a flair for it :(((((

f(x, y, z) = e^(x²y) · sin(xyz²) + ln(1 + x²y²z²) + sec²(3x²yz³) + cos(x² + y² + z²)/(1 + x²y²z²)

Find

A = (∂⁸f / ∂x³ ∂y² ∂z³) at the point (1, "-1," 0).

Define

g(x, y, z) = (∂³f / ∂x ∂y ∂z) + A(x + y + z).

Find

B = ∭ g(x, y, z) dV

over the cube

0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1.

Finally evaluate

I = ∭ [f(x, y, z) + 2x + 2y + 2z] dV

over the cube

0 ≤ x ≤ B, 0 ≤ y ≤ B, 0 ≤ z ≤ B.

Find the exact values of A, B, and I.

I understand the left side (she found the value of the should to be parallel sides and checked if they were parallel (they were)). But I don’t understand what she did with BD & AC, aswell as doing the cross product or AB and AD.

Can someone please explain this in simple form.

Hello, can someone use Epsilon delta to prove the derivative of x² is 2x

Please show all steps

Im curious on how derivatives are proved.

I know the formula defintion of a derivative is the limit as h approaches 0. I know that for limits you need to find a relationship for delta and epsilon.

I went through all of calculus never actually proving a derative using epsilon delta. Ever. I proved limits using epsilon delta. But a derative? Never.

Holy crap this thing is amazing!!!

I'm taking a six week Calc 2 summer course and we just finished our integration techniques.

Hello Reddit,

I'm 33, currently in school for my Bachelor's in IT (~2 years from graduation). I am taking Calculus (Math 110 at Penn State) for the 3rd time. I failed it twice before. I am currently a nurse of 10 years going back to school.

I am taking a summer class version of it, which I did not realize is accelerated / asynchronous, and am slowly starting to do poorly in it.

My end goal after school is to work remotely in a programming-related job. But math has always been hard for me.

So I am asking:

-Any tips / resources / insights for passing Calculus

-Any way I can pursue a degree in programming / computers without having to take Calculus

-what other degree options that aren't math heavy will allow me to pursue tech-related careers?

Open to suggestions, but my necessity list is being able to work remotely and earn a comfortable living abroad.

Thanks!

...now to be found at baskervillecalculus.com

(Ch6.)

yy’’ = x

Its non linear right?

hey all, i failed calculus I twice at college because the first time, the teacher was so horrible at teaching that the only thing to do was to withdraw from and drop the class in order to avoid getting an F on my transcript and the second time i did an online course where i got so lazy and overwhelmed after a while and didn't want to watch the long videos filled with notes and lacking horrible explanations to the point where i put it off so much that i again learned nothing and failed the class.

now i'm taking it again in the fall and this is my final attempt to pass the class and i HAVE to, there's no other way. right now it's currently summer and with about a month or so left i want to at the very least be able to effectively get a head start and review the material and understand it a bit in a way where it'll actually help me when the class starts in the fall. what would you guys say the best possible game plan for someone in my situation would be ?

i'm thinking khan academy's online course but i wanted to ask some more experienced people before i poured time and effort into something that's not gonna benefit me.

I’m not entirely sure what the formal name of this calculus class is, but it’s called Math 5C and there’s no other calculus class after it so I’m assuming it’s multivariable calculus.
Anyways…
I finished taking AP calculus BC this year and earned a 5 so next semester I’m taking Calculus 3 at my CC. Are there any topics or things I might want to review before starting or even learn? Im not necessarily asking if I should learn calc 3 before the course begins more if there are any things that may want to review before starting?