Ex1.a added

README.md

@@ -1,3 +1,3 @@
 # cds-numerical-methods
 
-Coursework CDS:Numerical Methods
+Coursework CDS:Numerical Methods 2019-2020

week1/ex1.py

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+#!/usr/bin/env python3
+
+import numpy as np
+import matplotlib.pyplot as plt
+
+
+# Truncation of Euler's Constant
+e_OEIS = 2.7182818284590452353
+N_max = 25
+N_range = np.arange(0, N_max)
+
+# a) Simple Relative Error Determine
+e_approx = np.zeros(N_max)
+rel_err = np.zeros(N_max)
+
+prev_e = 0
+for i, n in enumerate(N_range):
+    e_approx[i] = prev_e + 1/np.math.factorial(n)
+
+    rel_err[i] = abs( e_approx[i] - e_OEIS ) / e_OEIS
+    prev_e = e_approx[i]
+
+print(e_approx)
+
+fig, ax = plt.subplots()
+ax.plot(N_range, rel_err)
+ax.set_yscale('log')
+ax.grid()
+ax.set_ylabel("Relative Error")
+ax.set_xlabel("N")
+
+plt.show()
+
+
+# b) Varying Floating Point Precision
+