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This year I am going to participate at the Astronomy Olympiad, in the beta group (seniors) - 15 years old or above. I have already participated at this Olympiad in the alpha group (juniors)... now, a year later, I am going against 12th graders that know superior mathematics, such as derivatives and integrals. From a quick scan on some problems, I've seen that these mathematical concepts do appear... Since I do not have all the adjacent theory (limits etc.), I supposed I should learn some basic properties and see how can I apply them. My goal is to know how to read a integral, or how can I put it in an easier understanding form. So... What should I know about these derivatives and integrals? Which properties do apply in astronomy? I really appreciate all the help that I can get. And sorry if my question was a little dizzy... I hope it's alright, though.

Thank you for taking the time to read this!

Edit: For narrowing, I would love some websites that have only a few properties useful in mechanics.

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closed as too broad by Moriarty, Gerald, Eduardo Serra, called2voyage Feb 10 at 19:09

There are either too many possible answers, or good answers would be too long for this format. Please add details to narrow the answer set or to isolate an issue that can be answered in a few paragraphs.If this question can be reworded to fit the rules in the help center, please edit the question.

    
Sorry, but I think this question is far too broad (and not easily relatable to astronomy). Come up with a specific mathematical (and astronomical) problem and we should be able to help you understand. –  Moriarty Feb 9 at 21:50
    
This looks like a readable introduction to calculus, with some relation to mechanics: animations.physics.unsw.edu.au//jw/calculus.htm; but I agree with Moriarty. –  Gerald Feb 9 at 23:14
    
The question is opinion-based. I recomend that you talk to someone in person. There is not so much you need to know about calculus to solve these problems. Good link, @Gerald. –  Alexey Bobrick Feb 10 at 14:13
    
@Moriarty: I have usually seen this type of calculus in mechanics problems. For example, I've encountered a problem where somebody threw a dagger from the skies and it hit the Earth soil the third day. I didn't know how to solve it, and somebody said it can be solved through integrals. I know, the situation is fanciful, but I really want to understand the basic idea behind it. So far I have figured out that the main force is the gravitational attraction and that I have to pay attention to the acceleration in the atmosphere... Any ideas? And thank you very much for your useful link, @Gerald! –  altair Feb 10 at 16:27
    
@altair It's not that no one wants to help - like every other side on SE, we need to keep this place on topic. You must ask an astronomy question. –  Moriarty Feb 10 at 21:33

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