When you know what voltage, current and resistance are (conceptually), then you can easily derive that raising the voltage will generate more current, while raising the resistance will limit the current. Hence the above formula - and you'll never forget it again :)

regarding trigonometry : a lot of the equations can be generated from the others ... so, basically, you just have to learn

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Knowing how to derive them is the important thing.

When I revised for exams I would progressively condense the whole year's notes for each subject down to one A4 sheet. By the time I'd iterated through the notes three or four times in this manner, weeding out stuff I knew that I wouldn't forget, I was left with the awkward formulae which were the starting points for derivation, together with a description of what needed to be done (multiply this bit out, etc.). It certainly doesn't harm going through the derivation in the exam, there should be some slack to enable it to be done - if a step goes amiss you are arguably more likely to score points for your effort, as opposed to simply writing a formula down wrong from memory. If you are doing stuff like Laplace or Fourier Transforms you should expect to be given the relevant tables in the exam.

>> condense the whole year's notes for each subject down to one A4 sheet
same "tactic" here :)

>> It certainly doesn't harm going through the derivation in the exam
Agreed ... it refreshes the context for you, which will make it easier to apply the equation.

Infinity's ohms law there has jogged my mind about something.

Quite often you can double-check the validity of your formulae simply by sticking the units in and knowing for instance that a kilogram metre per second squared is in fact the same thing as Newtons. Knowing how units are derived from each other will get you out of some tight spots sometimes.

But the second one is clearly a simplification for when f(x) is linear... so it's not really necessary that I learn it..

So, I shall try and condense my "notes for each subject down to one A4 sheet" as well, and see where that gets me :)

Any other ideas are more than welcome! Anything really strange that has seemed to help any of you? (such as... erm.. i don't know... <random>reading upside down?</random> :\ ).

Never remember the "shortcut" equations ! They are the ones, which make you suffer in the exams if you forget them !

And remember that you need to *work hard* and probably harder, and solve as many problems as you can, in each category, to master mathematics ... as ozo does !

Here is my personal experience: In my textbook (3 year before) there was a problem... and here is an extract:

Note that we have not given details regarding the use of chain rule in the above problem. After some practice it should be possible to write down the derivatives in one step! ..."

There were 185 exercise problems, and I solved each of them and realised that the above statement was true :)

The more you do, the more you learn. Do a lot of exercises, repeat them again and again until it is secured in your mind. Explaining to your colleagues what you have learnt also helps.

Flash cards are a well tested method of learing many equations, words, and arithmetic operations..
Get yourself a pack of 3 X 5 cards or near size.
Write the name of the equation on one side and the equation on the other. Carry them with you and look at them at the odd moment.

on one side on other side
tan(a) sin(a)/cos(a)
sin(2a) 2 sin(a) cos(a)
quadratic formula etc

Thus you can not waste the few min waiting for something

CaptainCyrilFounder, Software Engineer, Data ScientistCommented:

Resistors stripe colors in order:
Black
Brown
Red
Orange
Yellow
Green
Blue
Violet
Grey
White

Make a story
Bad Boys Raped Our Young Girls But Violet Gave Willingly (Bad Version)
Bad Boys Raced Our Young Girls Behind Valley Garden Walls (Good Version)

On some formulas I try to make a sentence by taking the first letter or the letters from the equation. Most of the trig formulas can be easily derived. If it's hard to memorize, create a story on the letters and the operations.

In Physics you have to know how to derive each formula most of the time so I don't think there is a problem there.

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