Self-learning calculus for physics

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Discussion Overview

The discussion revolves around resources for self-learning calculus in preparation for high school physics. Participants share recommendations for textbooks and online materials suitable for someone who has not yet formally studied calculus but is interested in understanding the mathematical concepts necessary for physics.

Discussion Character

  • Exploratory
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses a desire to learn calculus before starting formal education, specifically for high school physics.
  • Another participant recommends a textbook titled "Technical Math with Calculus," suggesting it is practical and suitable for self-study without heavy theoretical content.
  • A follow-up inquiry asks whether it is necessary to complete earlier chapters before starting on derivatives, indicating uncertainty about the learning path.
  • Additional suggestions include looking for older editions of recommended textbooks to save costs while still gaining similar educational value.
  • Participants emphasize the importance of practical problem-solving skills over rigorous mathematical theory at this stage of learning.

Areas of Agreement / Disagreement

There is general agreement on the type of resources that may be beneficial, particularly the recommendation of "Technical Math with Calculus." However, there is no consensus on the best approach to starting the material, as participants offer differing views on whether to begin with foundational chapters or directly with derivatives.

Contextual Notes

Participants have not established a definitive learning path or sequence for studying calculus, and there are varying opinions on the necessity of prior knowledge before tackling specific topics like derivatives.

Mastermind01
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Hello all,

I am interested in physics and I know that a some amount of calculus is required for high school physics. We don't start calculus until the end of next year i.e end of 11th grade (I have just finished 9th grade), although the level of physics we do is quite high. Can someone recommend me books (preferable) or online videos/courses (things like coursera's calculus one) to learn the calculus required for high-school calculus based physics (probably the calculus required for textbooks like Halliday, Resnick, Walker) ? I don't want to get too deep into the subject as I'll probably do it when I actually study Calculus in school. Thanks in advance.
 
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Look for a textbook called Technical Math with Calculus. There are several. Buy one that you can also find a solutions book available and has good ratings.

This type of math book tends to avoid heavy theory and would have the type of problems that you could probably handle, with lots of practical problems.

These are great for self study to get you to where you want and when finished, you would be able to solve a fair amount of problems at any level. No, this is not a rigorous text that would provide deep mathematical rigor, but that won't be required until college calculus.
 
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CalcNerd said:
Look for a textbook called Technical Math with Calculus. There are several. Buy one that you can also find a solutions book available and has good ratings.

Do you mean something like this ? - https://www.amazon.com/dp/0470464720/?tag=pfamazon01-20

Another question is, do I need to finish the previous chapters to get to calculus? Or can I start directly from derivatives?
 
https://www.amazon.com/dp/0138142254/?tag=pfamazon01-20

Something like you found would be fine, but since you are not enrolled in any particular class, you could look at the older (cheaper) editions of these types of books. check the link I have. It is for a similar book but it is an older and much less expensive book that should provide you with a very similar experience.

As for where to start, you certainly shouldn't start with chapter 1, unless you see material you are not comfortable with. But I would also suggest you pick up somewhere before derivatives just to get the feel of the problems. Think of this as a practical guide to solving math problems.
 
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