@@ -34,7 +34,7 @@
    "source": [
     "# Create the function\n",
     "\n",
-    "Write the Python function for the above equation"
+    "TODO: Write the above equation as a function named \"my_func\""
    ]
   },
   {
@@ -45,7 +45,7 @@
    },
    "outputs": [],
    "source": [
-    "# Do the imports"
+    "# Do the imports - you'll need fminbound from scipy.iptimize and quad from scipy.integrate in addition to the usual numpy/matplotlib"
    ]
   },
   {
@@ -67,6 +67,7 @@
    },
    "outputs": [],
    "source": [
+    "# Check my_func is returning the correct answer for a couple x values\n",
     "print(f\"Func at 1.0 is {my_func(1.0)}, expected -2.433333\")\n",
     "print(f\"Func at 2.0 is {my_func(2.0)}, expected -4.02694589\")"
    ]
@@ -90,9 +91,11 @@
     "editable": false
    },
    "source": [
-    "# Plot the function, along with the bounds and an x at minima and maxima\n",
+    "# Minima/maxima and Plot\n",
     "\n",
-    "Use 0.5 and 3.0 as the integration bounds"
+    "Find the minima/maxima within the bounds **a=0.5** and **b=3.0**\n",
+    "\n",
+    "Plot the function, along with the minima/maxima\n"
    ]
   },
   {
@@ -103,7 +106,7 @@
    },
    "outputs": [],
    "source": [
-    "# Integration limits\n",
+    "# Integration limits and the boundaries of the search for minima and maxima\n",
     "a = 0.5\n",
     "b = 3.0"
    ]
@@ -116,11 +119,14 @@
    },
    "outputs": [],
    "source": [
-    "# Find the x locations of the two bends\n",
-    "#\n",
+    "# TODO Find the x locations of the two bends (minima and maxima)\n",
+    "# Use fminbound for both of these\n",
+    "#  Reminder that the maximum can be found by negating\n",
+    "#  You might find a lambda function useful\n",
+    "#  Use the ability to set bounds to keep the search to just the \"bump\" around the minima or maxima (you can hardwire these bounds)\n",
+    "#     I'd suggest plotting the function and/or looking at the plot in the slides to find reasonable bounds\n",
     "first_max = ...\n",
     "first_min = ...\n",
-    "# END PROMPT \"\"\"\n",
     "\n",
     "print(f\"Max {first_max}, expected 0.94813, Min {first_min}, expected 2.091114\")"
    ]
@@ -133,7 +139,8 @@
    },
    "outputs": [],
    "source": [
-    "..."
+    "# TODO Plot the function from a to b\n",
+    "# TODO Put a green x at the first maxima, and a red x at the first minima"
    ]
   },
   {
@@ -169,9 +176,9 @@
    },
    "outputs": [],
    "source": [
+    "# TODO: Numerically calculate the derivative at the minima/maxima\n",
     "deriv_max = ...\n",
-    "deriv_min = ...\n",
-    "# END PROMPT\"\"\""
+    "deriv_min = ..."
    ]
   },
   {
@@ -195,7 +202,7 @@
    "source": [
     "# Integration\n",
     "\n",
-    "TODO Calculate the area under the curve using trapz or quad, whichever you perfer."
+    "TODO Calculate the area under the curve using **trapz** or **quad**, whichever you perfer."
    ]
   },
   {
@@ -206,10 +213,8 @@
    },
    "outputs": [],
    "source": [
-    "...\n",
     "\n",
-    "area_under_curve = ...\n",
-    "# END PROMPT\"\"\""
+    "area_under_curve = ..."
    ]
   },
   {
@@ -319,7 +324,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.4"
+   "version": "3.11.0"
   },
   "otter": {
    "OK_FORMAT": true,