From b1d6f6c5222f10fce188f36e5a7615ea3ffa109c Mon Sep 17 00:00:00 2001
From: git-sandro <sandro.zimmermann@szdn.ch>
Date: Wed, 25 Feb 2026 23:33:07 +0100
Subject: [PATCH] feat: serie_1.py abschluss

---
 introduction/serie_1.py | 250 ++++++++++++++++++++++++++++++++++++++++
 1 file changed, 250 insertions(+)

diff --git a/introduction/serie_1.py b/introduction/serie_1.py
index 1f553b7..cca43ce 100644
--- a/introduction/serie_1.py
+++ b/introduction/serie_1.py
@@ -105,4 +105,254 @@ plt.xlabel(r"$x$")
 plt.ylabel(r"$y$")
 plt.legend()
 plt.grid(visible=True)
+plt.axis("image")
+
+# %%
+print("Aufgabe 8. d)")
+# 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
+
+def h(x):
+    y = x**2/8
+    return y
+
+# Daten
+x_data = np.linspace(x_0, x_E, N)
+f_data = f(x_data)
+g_data = g(x_data)
+h_data = h(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.plot(x_data, h_data, "-.", linewidth = lw, label = r"$h$")
+plt.xlabel(r"$x$")
+plt.ylabel(r"$y$")
+plt.legend()
+plt.grid(visible=True)
+plt.axis("image")
+
+# %%
+print("Aufgabe 9. a)")
+# 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 = 2
+N = 201
+lw = 3
+fig = 1
+
+# Funktionen
+def f(x):
+    y = 0.4*x+1
+    return y
+
+# Daten
+x_data = np.linspace(x_0, x_E, N)
+f_data = f(x_data)
+
+# pltot
+fh = plt.figure(fig)
+plt.plot(x_data, f_data, linewidth = lw)
+plt.xlabel(r"$x$")
+plt.ylabel(r"$y$")
+plt.grid(visible=True)
+plt.axis("image")
+
+# %%
+print("Aufgabe 9. b)")
+# 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 = -2
+x_E = 2
+N = 201
+lw = 3
+fig = 1
+
+# Funktionen
+def f(x):
+    y = x**2
+    return y
+
+# Daten
+x_data = np.linspace(x_0, x_E, N)
+f_data = f(x_data)
+
+# pltot
+fh = plt.figure(fig)
+plt.plot(x_data, f_data, linewidth = lw)
+plt.xlabel(r"$x$")
+plt.ylabel(r"$y$")
+plt.grid(visible=True)
+plt.axis("image")
+
+# %%
+print("Aufgabe 9. c)")
+# 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 = -6
+x_E = 2
+N = 201
+lw = 3
+fig = 1
+
+# Funktionen
+def f(x):
+    y = 2**x
+    return y
+
+# Daten
+x_data = np.linspace(x_0, x_E, N)
+f_data = f(x_data)
+
+# pltot
+fh = plt.figure(fig)
+plt.plot(x_data, f_data, linewidth = lw)
+plt.xlabel(r"$x$")
+plt.ylabel(r"$y$")
+plt.grid(visible=True)
+plt.axis("image")
+
+# %%
+print("Aufgabe 9. d)")
+# 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 = 0.01
+x_E = 10
+N = 201
+lw = 3
+fig = 1
+
+# Funktionen
+def f(x):
+    y = np.log10(x)
+    return y
+
+# Daten
+x_data = np.linspace(x_0, x_E, N)
+f_data = f(x_data)
+
+# pltot
+fh = plt.figure(fig)
+plt.plot(x_data, f_data, linewidth = lw)
+plt.xlabel(r"$x$")
+plt.ylabel(r"$y$")
+plt.grid(visible=True)
+plt.axis("image")
+
+# %%
+print("Aufgabe 9. e)")
+# 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 = -1
+x_E = 4
+N = 201
+lw = 3
+fig = 1
+
+# Funktionen
+def f(x):
+    y = 3/(x+2)
+    return y
+
+# Daten
+x_data = np.linspace(x_0, x_E, N)
+f_data = f(x_data)
+
+# pltot
+fh = plt.figure(fig)
+plt.plot(x_data, f_data, linewidth = lw)
+plt.xlabel(r"$x$")
+plt.ylabel(r"$y$")
+plt.grid(visible=True)
+plt.axis("image")
+
+# %%
+print("Aufgabe 9. f)")
+# 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*np.pi
+N = 401
+N_t = 9
+lw = 3
+fig = 1
+
+# Funktionen
+def f(x):
+    y = 2*np.sin(x)
+    return y
+
+# Daten
+x_data = np.linspace(x_0, x_E, N)
+f_data = f(x_data)
+
+# pltot
+fh = plt.figure(fig)
+plt.plot(x_data, f_data, linewidth = lw)
+plt.xlabel(r"$x$")
+plt.ylabel(r"$y$")
+plt.xticks(np.linspace(x_0, x_E, N_t),("$0$", "$0.5\,\pi$",
+                                        "$1.0\,\pi$", "$1.5\,\pi$",
+                                        "$2.0\,\pi$", "$2.5\,\pi$",
+                                        "$3.0\,\pi$", "$3.5\,\pi$",
+                                        "$4.0\,\pi$"))
+plt.grid(visible=True)
 plt.axis("image")
\ No newline at end of file