Differentiate and Integrate A Given Function

[wildmommy666]

Hello, I need your helping hands for our course project. Our lecturer requested us to differentiate and integrate a function entered. The hardest part for us is using python libraries (scipy, sympy, etc.) are not allowed to use. Our assistant advised us to use some different methods and approximations to reach to solutions. Thanks for your helps in advance.

To Differentiate:

-Forward Difference Approximation
-Backward Difference Approximation
-Richardson Extrapolation Approximation

To Integrate:

-Trapezodial Method
-Simpson's Rule
-Monte Carlo Method

[buran]

Welcome to the forum. We are glad to help, but we are not great at doing your homework for you.
Post what you have tried. Post python code in python tags, full traceback - if you get any - in error tags. Ask specific questions.
Of course first step is to understand math science behind each of these methods.

[ndc85430]

You don't really need libraries to implement those approximations. I mean, forward difference for example should be more or less translating the maths into code quite straightforwardly. Do you understand how the methods work? Presumably you learnt the basic ideas when you first started learning calculus.