[Guide] How to Anki Maths the right way. 1. 20 rules of formulating knowledge

Go through these carefully. These are guidelines and not rules, that is, it is good to stick to them, but you should know when a certain rule is getting in the way of your learning (practicality beats purity)

2. You shouldn't cram Maths.

From the 20 Rules above, ignore the rules #4,7,9,10,12 (keep it precise and rigorous)

Maths follows logically, and long proofs can be derived from first principles as long as you understand the basic flow and structure of them.

It is OK to have lengthy proofs in your cards.

If you forget some step in the proof, and are unable to figure some way out, you gotta mark the whole card as Again. No excuses!

Attention to the tiniest details is what makes someone good at Maths.

For example, here's a card of mine:

Question: State Vieta's Formulas.
Answer: http://i.imgur.com/B6MnBLp.png (Big image, view it in full size)

In this card, if I forget the line about Fundamental Theorem of Algebra, I mark it as Again.
If I make the slightest mistake in the formula, I mark it Again.
If I cannot recollect the values for the cubic and quadratic polynomials from memory without effort, I mark it again.

Only if I can recollect every bit of the card perfectly do I mark it as Good or Easy.

It is OK to do this. If you feel that doing this will increase your workload a lot, add less cards. Learn the correct thing, even if it means you end up learning slightly less.

4. Add the smallest points that are worth remembering to Anki.

Question: f(x) = x2 / x, g(x) = x. Is f(x) = g(x)?
Answer: No. For two functions to be equal, their domains must also be same. f(x) is not defined at x=0

Simple, but important!

You can add cool things to Anki too. Maths has a lot of cool things (like the graph of sin(1/x) )

5. Use images, colors (to emphasize points) a lot!

Question: http://i.imgur.com/treeyi2.png

.

Question: When we integrate, what is the true meaning of the added constant C? Answer: http://i.imgur.com/ETFVnVM.png

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Question: sin(arctan(x)) = ? (And how to remember/derive?)

Use colors in math equations to make them easier to read:

Question: Derive the Inverse Rule of Differentiation.

6. Invest time in making your cards.

If you want to do Anki the correct way, there is no shortcut to making cards.

You will remember what you put into Anki for years to come. You don't wanna remember poorly formatted or boring/uninformative cards.

Making cards will be the majority of your Anki time (several times more than reviewing time!), but it is essential that you invest the time!

Also, if you're only gonna use LaTeX for math equations, consider switching to Mathjax. Anki supports javascript, and it is easy to make Mathjax work with Anki.

Let me know if you need any help with the integration.

Pros (of Mathjax):

• Scalable equations. You can zoom in and out to your heart's content.

• Pixel perfect vertical alignment. Inline alignment of rendered images from LaTeX is a nightmare. Mathjax does it automatically for you!

• Faster workflow. Mathjax is responsive and equations are rendered almost instantly. (unlike compiling LaTeX tp pdf, cropping the pdf, finding out the baseline for alignment, rendering to image, padding the image for alignment and then copying the image to collection.media)

• Ability to render on mobile devices. Mathjax is just javascript :)

Cons:

• Only math mode and the basic packages (like amsmath) are supported out of the box.

Also, consider using a better font. I am using Open Sans (for text) and Source Code Pro (for code) at the moment, which are infinitely better than then Arial font Anki uses by default.

If you want to change selection, open document below and click on "Move attachment"

[Guide] How to Anki Maths the right way. : Anki