In this assignment, you must use variables, loops, if statements, your own function definitions and function calls to write the required functions. For now, you may not use any of the powerful functions available in python modules, with a few exceptions: You may import functions from the math, copy, matplotlib.plot and numpy. You may NOT use numpy.linalg.lstsq(). You may use fsolve() and quad() from scipy, but nothing else.

sheet. You must write and call at least the following 3 functions: def FourierCoeffs(func, L, nterms) # which calculates and returns the Fourier a's and b's # the a's and b's are each numpy arrays of length nterns # func is the name of the function. L is the half-period. # this function must call scipy.integrate.quad() def PlotFourier(a, b, L, xmin, xmax npoints=5000) # which plots the Fourier Series def main() def Sharkfin(x): if x