From 88f29d1f52eaad0b1012a6ddff96976a1c364c86 Mon Sep 17 00:00:00 2001
From: git-sandro <sandro.zimmermann@szdn.ch>
Date: Tue, 24 Feb 2026 23:09:15 +0100
Subject: [PATCH] feat: introduction/serie_1.py advanced. docs: README altered.
 feat: requirements.txt added

---
 README.md               |  5 +--
 introduction/serie_1.py | 83 ++++++++++++++++++++++++++++++++++++++++-
 requirements.txt        |  2 +
 3 files changed, 84 insertions(+), 6 deletions(-)
 create mode 100644 requirements.txt

diff --git a/README.md b/README.md
index 01b703f..5cd5a34 100644
--- a/README.md
+++ b/README.md
@@ -1,4 +1 @@
-Repository for CDS-404 Numerische Methoden
-
-Required libraries:
-* numpy
\ No newline at end of file
+Repository for CDS-404 Numerische Methoden
\ No newline at end of file
diff --git a/introduction/serie_1.py b/introduction/serie_1.py
index 7252e1f..1f553b7 100644
--- a/introduction/serie_1.py
+++ b/introduction/serie_1.py
@@ -1,5 +1,8 @@
 
+#%%
+# Numpy initialisieren
 import numpy as np
+import matplotlib.pyplot as plt
 #%%
 print("Aufgabe 2")
 print(f"a) {1/3}")
@@ -25,5 +28,81 @@ print(f"k) {1 / np.arctan(34.1)}")
 print(f"l) {np.power(np.array([np.e]), -3.34)}")
 print(f"m) {np.e}")
 print(f"n) {np.log(13.2)}")
-print(f"o) ")
-print(f"p) ")
+print(f"o) {np.log10(23)}")
+print(f"p) {np.log2(69.6)}")
+
+# %%
+print("Aufgabe 7")
+# Parameter
+a = 12.3, b = 8.14, pr = 3, ME = "cm"
+
+# Berechnungen
+c = np.sqrt(a**2+b**2)
+
+# Ausgabe
+print("----------------------------------------------------------------------")
+print(__file__)
+print("----------------------------------------------------------------------")
+print(f"Seite a = {a:#.{pr}g} {ME}")
+print(f"Seite b = {b:#.{pr}g} {ME}")
+print(f"Seite c = {c:#.{pr}g} {ME}")
+print("----------------------------------------------------------------------")
+
+# %%
+print("Aufgabe 7.d)")
+# Parameter
+a = 0.85e3; pr_a = 2;   sc_a = 1.0e-3;  ME_a = "km";\
+b = 234;    pr_b = 3;   sc_b = 1.0;     ME_b = "m";\
+            pr_c = 2;   sc_c = 1.0e-3;  ME_c = "km";\
+
+# Berechnungen
+c = np.sqrt(a**2+b**2)
+
+# Ausgabe
+print("----------------------------------------------------------------------")
+print(__file__)
+print("----------------------------------------------------------------------")
+print(f"Seite a = {a*sc_a:#.{pr_a}g} {ME_a}")
+print(f"Seite b = {b*sc_b:#.{pr_b}g} {ME_b}")
+print(f"Seite c = {c*sc_c:#.{pr_c}g} {ME_c}")
+print("----------------------------------------------------------------------")
+
+# %%
+print("Aufgabe 8")
+# Python konfigurieren
+plt.close("all")
+plt.rcParams["figure.figsize"] = (7.03,15)
+plt.rcParams["font.size"] = 9
+plt.rcParams["font.family"] = "serif"
+plt.rcParams["text.usetex"] = False
+
+# Parameter
+x_0 = 0
+x_E = 4
+N = 201
+lw = 3
+fig = 1
+
+# Funktionen
+def f(x):
+    y = 3/(1+x)
+    return y
+
+def g(x):
+    y = x/2
+    return y
+
+# Daten
+x_data = np.linspace(x_0, x_E, N)
+f_data = f(x_data)
+g_data = g(x_data)
+
+# pltot
+fh = plt.figure(fig)
+plt.plot(x_data, f_data, linewidth = lw, label = r"$f$")
+plt.plot(x_data, g_data, "--", linewidth = lw, label = r"$g$")
+plt.xlabel(r"$x$")
+plt.ylabel(r"$y$")
+plt.legend()
+plt.grid(visible=True)
+plt.axis("image")
\ No newline at end of file
diff --git a/requirements.txt b/requirements.txt
new file mode 100644
index 0000000..806f221
--- /dev/null
+++ b/requirements.txt
@@ -0,0 +1,2 @@
+numpy
+matplotlib
\ No newline at end of file