Conversation

I wonder if it’s time to replace continuous math calculus with discrete (more sophisticated summations, series) in high school. I never formally took discrete math but it’s been way more generally useful in a digital world and gets you 90% of the way to calculus.
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It’s also conceptually easier. Like convolutions are far simpler to comprehend in discrete form. Difference equations seem more intuitive than differential. Some things are harder imo like Laplace and Fourier transforms.
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discrete laplace transform is generating functions (arguably) which is a great fun topic, and the discrete fourier transform is pretty straightforward too although admittedly gets a lot easier to understand if you have some group theory background
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Depends. Once your (power) series' get really convoluted (pun intended) you'll go back to continuous methods to get your limits. Stochastics and statistics need continuous maths as well, if you dig deeply enough.
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