How to learn differentiation and integration in 14 days?

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Discussion Overview

The discussion revolves around the feasibility of learning differentiation and integration within a two-week timeframe, particularly for a high school student preparing for university. Participants explore strategies for mastering these calculus concepts, including the depth of understanding required and resources for study.

Discussion Character

  • Homework-related
  • Exploratory
  • Debate/contested

Main Points Raised

  • One participant expresses concern about the possibility of mastering differentiation and integration in 14 days, questioning the depth of understanding achievable in that time.
  • Another participant suggests that while differentiation could be learned in two weeks, integration is more complex and may require more time to truly understand, citing a teacher's remark about the artistic nature of integration.
  • Some participants agree that practicing extensively is essential for learning these concepts effectively.
  • A participant recommends an online resource, Paul's online notes, as a helpful tool for learning calculus topics.
  • One participant indicates a plan to focus on understanding the main techniques of integration while aiming to grasp differentiation more thoroughly.

Areas of Agreement / Disagreement

Participants generally agree that differentiation can be learned in a short time, but there is disagreement regarding the feasibility of mastering integration within the same period. The discussion remains unresolved regarding the exact approach and depth of understanding achievable in two weeks.

Contextual Notes

Participants highlight the varying complexity of differentiation and integration, suggesting that the time available may limit the depth of understanding. There are also references to specific techniques and resources that may aid in the learning process.

greg_rack
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TL;DR
I should learn the concepts in the image below in about two weeks.
Schermata 2020-10-19 alle 15.51.38.pngSchermata 2020-10-19 alle 15.51.53.png The detailed list of the concepts I should master
I'm attending the last year of high school and I'm currently studying limits.
For university test reasons I'll need to study on my own topics such as differentiation and integration... and I have just 14 days to do so!
Firstly, do you think it's possible?
Secondly, is yes, how should I do it? Would you recommend me like online dispensations offering not a too-detailed and broad explanation?
 
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greg_rack said:
Summary:: I should learn the concepts in the image below in about two weeks.

Firstly, do you think it's possible?
Differentiation, yes. Integration, no. Or as a teacher of mine had put it: "Every idiot can differentiate, but integration takes an artist." Sure, this is a bit exaggerated. You can learn how to use the standard techniques of integration (polynomials, trig functions, substitution, integration by parts, partial fraction decomposition, log and exp), but you cannot become an artist in that time. You see, my list for integration alone is stuff for a week, even without tricks like the Weierstraß substitution and similar. Differentiation should be easier.

Whether this makes sense, i.e. whether you will be able to keep that in mind is a completely different issue. The usual way to learn it such that you can use it at any time is: practice, practice, practice, practice, practice, ...
 
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It's a question of how much you can learn in two weeks. You could probably get a good grasp of differentiation in that time. Both differentiation and integration (one week each) seems like a lot to me. Not impossible.

I like Paul's online notes for all things calculus:

https://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
 
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PeroK said:
It's a question of how much you can learn in two weeks. You could probably get a good grasp of differentiation in that time. Both differentiation and integration (one week each) seems like a lot to me. Not impossible.

I like Paul's online notes for all things calculus:

https://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
Thank you! I think I'll probably take a grounding of what integration is with its main techniques, and try to grasp as much as I can with differentiation.
I'll definitely check the website you've recommended
 

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