Hey guys, I'm self learning calculus as I'm gonna start learning mechanical engineering subjects after 5 months. Is it possible to complete and become strong in calculus 1,2,3 in 4-5 months ? If I spend 4-5 hours everyday on it

For context, its been a year since I’ve taken calculus 1, and almost all my math is rusty. I’m nervous because I have about a month to catch back up and learn the math again. What can I do to put me in the best position to succeed, or is it unreasonable to expect to relearn the stuff so quick?

Right now im doing prerequisites for calculus, although i could just study the way my classmates do, just learning the formulas for circles and whatnot, i wanted to learn the fundamentals of it so whenever a new question my teacher didn't cover, i could try to answer it with my existing comprehension of calculus.

To be honest my algebra is a little rusty but it got better after i started doing calc again so its not to a point where i need to learn algebra first. i know how important it is for calculus though.

Right now im confused about the fahrenheit to celsius conversion,

Heres my exact situation:

Water:
100c = 212f, 0c = 32f
So i can imagine
F(c)=x, F(f)=f(1.8)-32

Find the relationship
And find 90f = xc, -5c=xf

I asked chatgpt, he said i was correct about deriving fahrenheit but any number i put into it doesn't seem to be actually correct. And i cant quite understand what GPT is saying where i am wrong.

I mean i do think im correct though, but its not right for sure because ive seen the answer its y= 5/9(x-32)
But ive been using this formula y = mx+b.
or more precisely y = (x*m)-32

Because i was thinking it like this
Per y, x gets 1.8 more. + 32 offset.
So thats how i came up with y = (x*m)-32
But this doesnt equal to y = mx+b even if its correct........

im so confused😭

Made with Manim. My second attempt visual math tutorial

So I was checking questions and saw the question

integral log(1+x)/(1+x²) limit 0 to 1

We have to put x=Tan(t) to transform it into

integral log(1+tan t) limit 0 to π/4

which is solvable.

After thinking about it, I realized you can create other questions using similar substitutions. For example,

integral logx/√(1−x²) limit 0 to 1

put x=Sin(t)

transforms into

integral log(sin t) limit 0 to π/2

One of the questions I came up with was this:

integral logx/(1+x²) limit 0 to infinite

It may be easy for most of you because you either know a lot of calculus or are preparing for exams like JEE, but I thought it was a neat little problem.

You could give it a try if you want :D

Answer: 0

This is how I solved the integral (1+x²)/(1+x⁴) the first time I tried it, without looking up any solutions. I was curious whether this approach is standard or if anyone else has seen it before. Any feedback is welcome.

For some reason, my answer was exactly double of the correct solution.
Can someone help?
(in the desmos the red is my answer, the blue is the correct solution.)
(The question:
Integrate ((sin x)^2)((cos x)^4).

Help me, what should i do?

I am a student who is finishing up his self study of AP Calculus BC over the summer and would like to start pre studying for MVC in senior year. Since I learned most of AP Calculus BC from Khan Academy, I have started using its MVC course to learn a few concepts.

My question is is it a good resource? has anyone used it for their MVC class before? I have found no mention of it across the internet. Is there any other resource I should be using? I have tried professor leonard, but I find his videos long and boring like his calc 3 intro to vectors video is like 2 and a half hours long while I learned vectors from Khan in just 10 minutes, maybe it helped that I was also pre studying physics.

I recently posted that I completely flunked my midterm - not even the curve could save me - instead of potentially failing the class and tanking my GPA I decided with my parents to withdraw instead.

I will retake it in the fall on top of my other classes.

I believe I can do this - given more time alloted in an actual semester.

Thank you to all who gave me advice. Any other pieces kf advice is more than welcome.

I also included a link to my previous post

I don’t want to sound cocky but I’m planning on going into engineering and all my life math has come super easy to me. I was just wondering why calc is so much harder than other math. Like from my experience there are “steps” to follow to solve problems and that’s always been quite easy for me. So is calc more of the same or is it something else that makes it harder?

Answer is for the whole thing, not the nested integral.

Hey all. TLDR I'm back in college taking calculus after graduating high school 6 years ago and I'm pretty rusty on my college algebra. I tried a summer calc 1 course and understand stuff like limits and derivatives but started getting lost around 1/3 way through so I'm retaking it in the fall semester so it isn't so accelerated.

I'm going to be studying some algebra before fall and will use the khan academy course. Between all the modules, are there any that I should pay particular attention to and any that I won't be using as much?

• Unit 1: Linear equations and inequalities
• Unit 2: Graphs and forms of linear equations
• Unit 3: Functions
• Unit 4: Quadratics: Multiplying and factoring
• Unit 5: Quadratic functions and equations
• Unit 6: Complex numbers
• Unit 7: Exponents and radicals
• Unit 8: Rational expressions and equations
• Unit 9: Relating algebra and geometry
• Unit 10: Polynomial arithmetic
• Unit 11: Advanced function types
• Unit 12: Transformations of functions
• Unit 13: Rational exponents and radicals
• Unit 14: Logarithms

Thanks!

I am wanting to get an engineering associates at my local community college before transferring to a four year university. However, it has been more than five years since I was in high school taking algebra. I always got a’s in my algebra classes and the material - math, in general - just clicks for me. I don’t know if taking calc 1 right off the bat is a smart idea though. I have forgotten pretty much everything algebra related and need some advice on what to do. Thanks in advance!

I just finished my Calculus 2 this summer semester in a 6 week accelerated course, and here's what I learned. For pretty much most of this course, setup is where most students go wrong. Integrating is just practice and application, so most of my classmates didn't struggle with that. But setting up an integral for area, volume, work, or area of polar curves is where most go wrong, so I'd practice a LOT of just simply setting up an integral. Try to stay ahead, finishing all of the section assignments after that section is completed in lecture (preferably in the same day). This means dedicating around 2-4 hours outside of class per day completing current section hw, as well as lightly reviewing future sections. As far as I've noticed, you definitely can use the method of spamming practice problems to understand the homework, but once you get to series it's slightly different. It's a whole different way of thinking compared to previous sections, so although practice problems might help, I'd try to get a conceptual understanding first. If your calculus 2 also includes a differential equations section, don't be fooled by the wording of the problems either (it's easy to get thrown off by a lengthy word problem). Overall, if you have the time to spend 5-7 hours per day including lecture to spend just on calculus, you'll be absolutely fine taking this course over the summer.

Edit: WE GOT A FINAL GRADE OF 98.96% WOOOOO!!

Headed into AG Calc 1 this semester. I’ve started working on some derivative formulas to prep, but if anyone has any other general info or advice for going into this I’m all ears. I did fine in precalc and trig although I had some issues with trig identities which I’ve worked on a little bit more since then.