Update/rename maclaurin.ipynb to reflect the correct spelling of Maclaurin

numpy-tutorial/maclauren.ipynb → numpy-tutorial/maclaurin.ipynb

@@ -4,9 +4,9 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Using a Maclauren Series to Estimate $e$\n",
+    "# Using a Maclaurin Series to Estimate $e$\n",
     "\n",
-    "A [Maclauren series](https://mathworld.wolfram.com/MaclaurinSeries.html) is an infinite series of terms that can be used to approximate more complex functions quickly.\n",
+    "A [Maclaurin series](https://mathworld.wolfram.com/MaclaurinSeries.html) is an infinite series of terms that can be used to approximate more complex functions quickly.\n",
     "\n",
     "You're going to approximate $e^x$ by using the first few terms of the series.  The series equation for $e^x$ is this:\n",
     "\n",
@@ -39,7 +39,7 @@
    "outputs": [],
    "source": [
     "def e_x(x, terms=10):\n",
-    "    \"\"\"Approximates $e^x$ using 'terms' terms of the Maclauren series\"\"\"\n",
+    "    \"\"\"Approximates $e^x$ using a given number of terms of the Maclaurin series\"\"\"\n",
     "    n = np.arange(terms)\n",
     "    return np.sum((x ** n) / fac(n))"
    ]
@@ -74,7 +74,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "N (terms)\tMaclauren\tError\n",
+      "N (terms)\tMaclaurin\tError\n",
       "1\t\t1.000\t\t19.086\n",
       "2\t\t4.000\t\t16.086\n",
       "3\t\t8.500\t\t11.586\n",
@@ -92,11 +92,11 @@
     }
    ],
    "source": [
-    "print(\"N (terms)\\tMaclauren\\tError\")\n",
+    "print(\"N (terms)\\tMaclaurin\\tError\")\n",
     "\n",
     "for n in range(1, 14):\n",
-    "    maclauren = e_x(3, terms=n)\n",
-    "    print(f\"{n}\\t\\t{maclauren:.03f}\\t\\t{e**3 - maclauren:.03f}\")"
+    "    maclaurin = e_x(3, terms=n)\n",
+    "    print(f\"{n}\\t\\t{maclaurin:.03f}\\t\\t{e**3 - maclaurin:.03f}\")"
    ]
   },
   {