Looking for interesting problems to solve numerically

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I am giving tomorrow an introduction to Python to undergraduates and have to present how it can be used to solve some mathematical problems. I have been looking for some nice or challenging problems to illustrate that, looked quite long on project Euler but did not find something that would fit. May I ask you for suggestions?

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Check out https://www.dataquest.io

I think https://www.dataquest.io/course/linear-algebra is what you want.

You can also browse the different courses.