diff --git a/Notebooks/Chap01/1_1_BackgroundMathematics.ipynb b/Notebooks/Chap01/1_1_BackgroundMathematics.ipynb
index b57eaef..6f7fe26 100644
--- a/Notebooks/Chap01/1_1_BackgroundMathematics.ipynb
+++ b/Notebooks/Chap01/1_1_BackgroundMathematics.ipynb
@@ -67,7 +67,7 @@
       "source": [
         "# Define a linear function with just one input, x\n",
         "def linear_function_1D(x,beta,omega):\n",
-        "  # TODO -- replace the code lin below with formula for 1D linear equation\n",
+        "  # TODO -- replace the code line below with formula for 1D linear equation\n",
         "  y = x\n",
         "\n",
         "  return y"
@@ -343,7 +343,7 @@
         "id": "R6A4e5IxIWCu"
       },
       "source": [
-        "Now let's consider the logarithm function $y=\\log[x]$. Throughout the book we always use natural (base $e$) logarithms. The log funcction maps non-negative numbers $[0,\\infty]$ to real numbers $[-\\infty,\\infty]$.  It is the inverse of the exponential function.  So when we compute $\\log[x]$ we are really asking \"What is the number $y$ so that $e^y=x$?\""
+        "Now let's consider the logarithm function $y=\\log[x]$. Throughout the book we always use natural (base $e$) logarithms. The log function maps non-negative numbers $[0,\\infty]$ to real numbers $[-\\infty,\\infty]$.  It is the inverse of the exponential function.  So when we compute $\\log[x]$ we are really asking \"What is the number $y$ so that $e^y=x$?\""
       ]
     },
     {
@@ -420,4 +420,4 @@
   },
   "nbformat": 4,
   "nbformat_minor": 0
-}
\ No newline at end of file
+}