diff --git a/Checkpoints/Checkpoint3.ipynb b/Checkpoints/Checkpoint3.ipynb
index 6c973dda1cba03cff54ad2ac9342171a6a847fb4..7c7e90f1b37f9fe1be2b834ed5fdfec9fc07e132 100644
--- a/Checkpoints/Checkpoint3.ipynb
+++ b/Checkpoints/Checkpoint3.ipynb
@@ -29,11 +29,11 @@
     "\n",
     "The solutions to this equation take the following forms:\n",
     "\n",
-    "$$ x=\\exp(−γt/2)[a\\cosh(pt)+b\\sinh(pt)]  \\text{when}  γ>2ω_0  \\text{with}  p^2=(γ^2/4)−ω^2_0 $$\n",
+    "$$ x=\\exp(−γt/2)[a\\cosh(pt)+b\\sinh(pt)]  \\text{ when }  γ>2ω_0  \\text{ with }  p^2=(γ^2/4)−ω^2_0 $$\n",
     "\n",
-    "$$ x=\\exp(−γt/2)[a+bt]  \\text{when}  γ=2ω_0 $$\n",
+    "$$ x=\\exp(−γt/2)[a+bt]  \\text{ when }  γ=2ω_0 $$\n",
     "\n",
-    "$$ x=\\exp(−γt/2)[a\\cos(ωt)+b\\sin(ωt)] \\text{when}  γ<2ω_0  \\text{with} ω^2=ω^2_0−(γ^2/4)$$\n",
+    "$$ x=\\exp(−γt/2)[a\\cos(ωt)+b\\sin(ωt)] \\text{ when }  γ<2ω_0  \\text{ with } ω^2=ω^2_0−(γ^2/4)$$\n",
     "\n",
     "where these three conditions are known as over damped, critically damped and under damped respectively.\n",
     "\n",
@@ -41,17 +41,17 @@
     "\n",
     "With the initial conditions that x=1 and $\\dot{x}$ =0 at t=0 the above constants, after some manipulation, become,\n",
     "\n",
-    "a=1 $b=\\gamma/2p$ when $\\gamma$>2ω$_0$\n",
+    "a=1 $b=\\gamma/2p$ when $\\gamma$>$2ω_0$\n",
     "\n",
-    "a=1 $b=\\gamma/2$ when $\\gamma$=2ω$_0$\n",
+    "a=1 $b=\\gamma/2$ when $\\gamma$=$2ω_0$\n",
     "\n",
-    "a=1 $b=\\gamma/2ω$ when $\\gamma$<2ω$_0$\n",
+    "a=1 $b=\\gamma/2ω$ when $\\gamma$<$2ω_0$\n",
     "\n",
     "### Task\n",
     "\n",
-    "Write an interactive Python program to compute and display, using the pyplot function from Matplotlib, the solution for x against t for t in the range 0$\\to 5\\pi/ω_0$. Your program should:\n",
+    "Write an interactive Python program to compute and display, using the pyplot function from Matplotlib, the solution for x against t for t in the range $0 \\to 5\\pi/ω_0$. Your program should:\n",
     "\n",
-    "- Ask for and read in the values of ω$_0$, $\\gamma$ and the number of points to plot on the graph from the terminal.\n",
+    "- Ask for and read in the values of $ω_0$, $\\gamma$ and the number of points to plot on the graph from the terminal.\n",
     "- Use a function of form shm(omega_zero,gamma,t) to calculate the displacement.\n",
     "- Calculate and plot the amplitude and time to lists\n",
     "- Plot the output via pyplot with suitable title and labels to axis\n",