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And now on to the math...

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IanB:

--- Quote from: LektroiD on June 13, 2019, 11:35:18 pm ---That's basically what we did, using the SOH-CAH-TOA rule. We  don't have GCSE in Scotland, check the link I provided

--- End quote ---

Yes I know, you have the Scottish National exams instead. But broadly speaking the same material is studied at the same age level in both Scotland and England.

By the way the SOH-CAH-TOA rule is not sufficient. For example, what is the sine of 210° ? (Trigonometry is not about triangles, it is about circles...)

0culus:
An old calculus teacher I had said it best about calculus: you have to do the algebra. If you have strong algebra, the rest of it is much much easier.


Another thing (and this is purely my perspective as someone with a math degree; YMMV) that really helped my intuition was taking real (and complex) analysis. These are typically rigorous courses intended for majors, but actually going about proving the theorems you took for granted in your calculus courses is super helpful to building intuition. I also went on to do differential geometry and functional analysis which further generalizes everything.

vk6zgo:
Don't kid yourself that reading through a few pages, thinking "that makes sense" & moving on works for learning new skills.
It doesn't,------it's a trap

Work through every example in whatever textbook you are using, then do the problems at the end of the chapter.
Work,work,work! It's like anything, the more you do, the better you get!

Another thing:
The people  who write these books, also have "weak spots" where they gloss over things by giving you the easiest possible example.
When you come up against a more complex one, you can be in trouble.
For that reason, I suggest you pick up several cheap secondhand books on the same subject.
One will probably have a better explanation.

Universities often have book sales where you can buy excellent textbooks which just aren't the one currently
specified for their couses.

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