{
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   "cell_type": "markdown",
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   "metadata": {},
   "source": [
    "# Taschenrechner\n",
    "Wir fangen ganz einfach an und schauen, wie sich Python als Taschenrechner macht:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1e6aecc1-1fbc-4cd9-9330-1a66fa612ec6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 1,
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     "output_type": "execute_result"
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   ],
   "source": [
    "1 + 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f19f790e-bac5-4e31-a205-d2008bfc6e22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "24"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "2 * 3 * 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "82d3380b-1d01-4475-8222-2198d8d4856a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "43"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 + 3 * 14"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "62b5e2b5-2bb5-42c3-b80e-8f43347faf5f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "56"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(1+3) * 14"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98a86261-0a33-4570-9064-ad57765e8aa0",
   "metadata": {},
   "source": [
    "## Aufgabe\n",
    "❓ Jetzt seid ihr dran! Denkt an den Mathe-Unterricht zurück und versucht\n",
    "* Minus\n",
    "* Division\n",
    "* Potenzieren\n",
    "* Quadratwurzel"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2b5f4f4-a5da-4b70-9e11-1a13c8b1c111",
   "metadata": {},
   "source": [
    "## Lösung"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6d6e56ec-fded-4a99-8941-e88c323eb561",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "5 - 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a151e074-017d-4be4-be9e-0181dca4cd9e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.5"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "5 / 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2ba9ae6-a19e-449a-a1d3-06be54dff4b3",
   "metadata": {},
   "source": [
    "Kommazahlen gibt's auch. Diese müssen, wie im Englischen üblich, mit Punkt statt mit Komma angegeben werden."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b26ab8eb-cbf6-486e-a0a2-dfa086125742",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "64"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "2 ** 6"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e7be5dd-bbcf-4f68-9cfb-662ac00f86c9",
   "metadata": {},
   "source": [
    "Potenzieren war schon tricky. Die ** kann man sich aber einfach merken wenn man daran denkt das Potenzieren mehrfaches Multiplizieren ist.\n",
    "\n",
    "Für die Quadratwurzel müssen wir aber noch ein bisschen über Python lernen."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cec7a8a1-ce22-41a0-b0e2-b6107e9b9bc3",
   "metadata": {},
   "source": [
    "# Packages\n",
    "\n",
    "Der Kern der Programmiersprache Python kann relativ wenig. Die meiste Funktionalität liegt in Packages.\n",
    "\n",
    "So ein Package muss mittels `import` verfügbar gemacht werden bevor man dessen Funktionen nutzen kann."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c04b1fca-a1f5-4ba2-90a8-216c3cc41556",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import math\n",
    "math.sqrt(4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd7f5220-4b6d-4e76-8cdf-ed04b9d8e8d6",
   "metadata": {},
   "source": [
    "## Aufgabe\n",
    "❓ Das Package `math` enhält noch eine Reihe weiterer\n",
    "Funktionen, die aus dem Mathe-Unterricht bekannt sind. Welche sind das?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b1cbddd-4599-4dbd-b439-5276c78e0ccd",
   "metadata": {},
   "source": [
    "## Lösung\n",
    "Durch ausprobieren kann man `sin`, `cos` und `tan` finden.\n",
    "\n",
    "Das ist aber aufwändig. Einfacher geht's mit der Hilfe-Funktion."
   ]
  }
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