Summarise topics that we have learnt in Python: a) Python: data types, mathematical operations and functions. Create an example of python coding for each topic. b) Numpy and its application to manipulate the array. Create two examples of python coding. c) Matplotlib and its application to plot curves: - Plot of the function x530x3+50x, where 5x5 - Create subplot for two functions: x3Ux2+UU and x4UUx0.5+Ux d) Pandas and its application for data analytics. e) Sklearn and its application for multiple linear regression and machine learning. f) Sympy and its application to solve the following problems: - Solve linear algebra: UUx+Uyz=1U3UxUUy+2z=212Ux+y+UUz=3U - Find the derivative of (UUx3UUU+2x2)(x+x3UU), expand the function and plot the original and derivative functions. - If a bending moment equation of a simply supported beam spans for l meter and to a uniform distributed load, q is M(x)=2q(lxx2), find: dxdyM(x) for the shear load dxdyV(x) for the applied load g) Scipy and its application for the numerical solution of differential equations h) Save the coding and the output in a python notebook and use your student ID as the file name (i.e., assignment_STUDENTID.ipynb)