diff --git a/lecture1/exercise_0_pytorch.ipynb b/lecture1/exercise_0_pytorch.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..54c3075bcab156325a9a9d5cd1e7dc68fc94271b
--- /dev/null
+++ b/lecture1/exercise_0_pytorch.ipynb
@@ -0,0 +1,35 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "3881ec5d",
+   "metadata": {},
+   "source": [
+    "# PyTorch tutorial\n",
+    "---------------\n",
+    "Welcome to the pytorch tutorial!"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.9.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/lecture1/exercise_0_tensorflow.ipynb b/lecture1/exercise_0_tensorflow.ipynb
index 6686b6c23bea8e8ad87a3d6463a0b5b7ea09ba2f..f2015742d142e55649d588e59541635b7c912f2a 100644
--- a/lecture1/exercise_0_tensorflow.ipynb
+++ b/lecture1/exercise_0_tensorflow.ipynb
@@ -25,7 +25,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3f663a34",
+   "id": "ffc59cef",
    "metadata": {},
    "source": [
     "## Tensors\n",
@@ -72,7 +72,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e1fa23d6",
+   "id": "f904ef1e",
    "metadata": {},
    "source": [
     "## Variables\n",
@@ -109,11 +109,11 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc389074",
+   "id": "11af2105",
    "metadata": {},
    "source": [
     "## Fundamental Mathematical Operations\n",
-    "Tensorflow supports several basic maths functions out of the box. Unlike numpy, some operations run by the name ```reduce_operation(*args)``` like ```reduce_sum``` and ```reduce_mean```.\n",
+    "Tensorflow supports several basic maths functions out of the box. Compared to numpy, **some operations run by the name** ```reduce_operation(*args)``` like ```reduce_sum``` and ```reduce_mean```.\n",
     "\n",
     "You can find an incomplete list of some basic calls:"
    ]