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[WIP] Cheatsheets for CM1015 Computational Mathematics
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:
- Number bases
- Sequences and Series
- Modular Arithmetic
- Trigonometry
- Graphs of Functions & Kinematics
- Trigonometrical Functions & Identities
- Exponential & Logarithm Functions
- Gradients of Curves & Differentiation
- Vectors
- Matrices
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.
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
@sglavoie @ankush This PR is ready to be merged, thanks for the patience :)