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[WIP] Cheatsheets for CM1015 Computational Mathematics

Open lamafab opened this issue 2 years ago • 1 comments

NOTE: This is Work-In-Progress, do not merge yet

Hello

I'm currently working on a collection of cheatsheets, meant to be useful for studying. Preview:

Do note that those are currently and actively being worked on and might contain mistakes or be incomplete. I will go over everything again and - assuming you're interested in merging this - will ping you when I think it's ready, probably around the mid-terms. Any feedback/criticism is welcome. More topics are coming in the future, the goal is to cover all relevant topics of that module.

lamafab avatar Jun 04 '22 21:06 lamafab

Hey Fabio, just a suggestion.

Regarding Graphs of Functions & Kinematics, specifically the Kinematics section:

I found really handy to think in terms of derivatives and integrals. So, rather than remembering all the formulas, you can start from the Fundamental law of Dynamics F=ma to deduce the position law:

a -> integral over time -> v -> integral over time -> r

a = constant in your case

v = ∫a dt = at + vo

r = ∫v dt = 1/2 at^2 + vot + ro

The vice versa is also valid:

r -> derivative with respect of time -> v -> derivative with respect of time -> a

ironoa avatar Jun 23 '22 13:06 ironoa

@sglavoie @ankush This PR is ready to be merged, thanks for the patience :)

lamafab avatar Sep 05 '22 16:09 lamafab