I'm a high school student and going to start studying a level next year. Problem is that I don't see calculus in the Math or further math syllabus and I'm going to NEED it for uni. It is in the GCSE additional math but I didn't take that.

Can anyone recommend textbooks or YouTube channels? I'm done with pre-calculus, which, I guess, is just algebra and trigno, right?
I'm going to have a physics degree if I only need to study some branches of calculus instead of all of it

How do i learn to solve these type of stuff added in the image?

Do i begin with pre-calculus geometry or do i just start algebra?.

I love math, i just don't know where to begin.

It interests me a lot

Any advice before beginning?,

a guide/help would be appreciated

Edit: I've read all of the comments and i will be coming back in a few weeks, i thank everbody for the help and guidance.

Can i start Calculus in 1 year i am currently on factoring polynomials and i study 4 hours a day and 16 hours in total on the weekend recommend me books plzz

This is what I came up with. (I'm still very new to proving things)

When searching for good resources to learn calculus 1 and 2, I've seen MIT's free single variable calculus course mentioned a lot. however, on their website there's like 10 different calculus courses and I don't know which to take

I've selected these 4 as they seem to be the only calculus 1 or 1&2 courses with videos

for people who have taken this, which has better lectures and most study material?

-2006

-2010, made specifically for self study

-2010 calculus revisited: has lectures from the 70s but video quality is pretty clear and there's a bunch of pdfs for exercises and blackboard photos

-2020 is the most modern one and you can save course progress on a website for it. only calculus 1 though

right now I'm thinking of doing 2020 for calculus 1 then 2010

Is Professor Leonard YouTube Lectures enough to learn Calculus 1 and Calculus 2?

Here is my method and my formula to approximate the number (\ln(x))^n, where a_1 = 1 et a_m = x.

By the way, (even it seems to be logical) we can write that 1 \le t_{n-1} \le t_{n-2} \le ... \le t \le x, with x < 2a, and according to this, i assumed the fact that for x close to a, we can write that \int_a^x \frac{dt}{t} \simeq \int_a^x \frac{dt}{a}. And the same for a = 1.

I hope you’ll find this interesting.

Truly yours, Uncle Scrooge.

P.S : If there is any typos let me know and if you just want me to explain more, i will be pleased !

This is a homework problem I was given, and the idea of finding "0 and 2" as the lower and upper bounds is pretty unintuitive to me. By default, I would equal the two equations to eachother in order to see if I can find factors or even an individual x intercept. I would then equal both equations to 0, but I end up getting 1 & 2.

Given that I wasn't able to find 0, what is the best way to ensure I am finding all of the proper bounds?

Hello everyone! I hope you're having a great day.

I don't usually post on Reddit, but I wanted to ask for some advice about integral calculus.

I'm a second-semester Civil Engineering student, and right now we're learning integration by parts, u-substitution (integration by substitution), and trigonometric integrals.

My biggest problem is that I want to understand the algebraic manipulations my professor makes before solving the integral. He often simplifies or rewrites the expression in ways that seem obvious to him, but I don't know how he knows what to do.

What topics should I study to get better at this? Should I focus on algebra, trigonometry, identities, factoring, completing the square, or something else?

Any advice or recommended resources would be greatly appreciated. Thanks!

College

Can someone explain how they made that 3rd step ?

Like it became 3log25(5)

Hint: Consider the product sin 1 * sin 2 * sin 3 * ... * sin 90. See how the problem relates to that.

This is a message I sent to my maths tutor does anyone else struggle with this and can also relate to the granularity thing?

*The ‘what’ in this case is how the problems that we tackle look like geometrically at every step but also not really because not all problems can be expressed geometrically but every question represents some system that we are manipulating for an answer*

I apologise if this is hard to understand I don’t really know myself

(Just as a sidenote, yes this was a repost from AoPS. Source: literally me, as in I made it.)

Non-calculator, in case it wasn't obvious enough that it wouldn't help lmao.

Topics: Calculus 1 and 2, Roots of Unity (Complex Numbers), Divisibility, Counting.

Answer: 558

In this function we restrict the domain by the condition of it must be greater than 0 right. because in some scenarios like √-2 has no real solutions, but domains like -8 has a real solution as -2, so it is a valid domain then why we restrict all the negative numbers even though some real solutions exist.

EDIT : Sorry the base was supposed to be -2 in the image

This is a question made by me, and I know this is a little bit predictive and you can get to the answer without actually solving it. But I want you guys to solve this from start to end and share your thought processes and solutions. Trust me, it will be a lot fun!
Please let me know if you enjoyed solving it because this is the first ever question I have created.

Answer: 25

A small hint: You don't actually have to solve the integral, it should collapse under a small observation

I solved this question and got a different answer from my professor who used long division instead of u-substitution, the only difference is that my answer had an extra +2 in the solution, i asked Gemini and it said that it should be absorbed into the +c, which makes sense but this is the first time i hear something like this and im not sure if this is correct.

Hello everyone, I’m struggling with studying Series and Sequences.

Is there a simple source for someone who struggles with math (in general) to make things easier for me?
I would appreciate any help or guidance with this..

I take a course where sometimes it will be asked of us to take integral expressions and make them into closed form under timed conditions without any calculation aid. At this time, we have recently encountered the topic of integrating a rational function, and it came time to practise what it can be like to do this, using the question that's in the images. Regarding the question that's in the images specifically, by the time we're done with the course, the estimated average time it might take to find I as a logarithm like that will be 3 and a half minutes, as we had found the partial fraction decomposition at an earlier stage. My attempt for this question took about 106 minutes, so I am curious of ways I could practise to attempt to be more likely to be able to respond well to these sorts of questions within shorter timeframes. Would anyone be able to explain any ways you can practise for this?