diff --git a/docs/tutorial/1-serialization.md b/docs/tutorial/1-serialization.md
index 979c4a3e3..55b194576 100644
--- a/docs/tutorial/1-serialization.md
+++ b/docs/tutorial/1-serialization.md
@@ -104,7 +104,7 @@ Don't forget to sync the database for the first time.
 
 ## Creating a Serializer class
 
-The first thing we need to get started on our Web API is provide a way of serializing and deserializing the snippet instances into representations such as `json`.  We can do this by declaring serializers that work very similar to Django's forms.  Create a file in the `snippets` directory named `serializers.py` and add the following.
+The first thing we need to get started on our Web API is to provide a way of serializing and deserializing the snippet instances into representations such as `json`.  We can do this by declaring serializers that work very similar to Django's forms.  Create a file in the `snippets` directory named `serializers.py` and add the following.
 
     from django.forms import widgets
     from rest_framework import serializers
@@ -143,7 +143,7 @@ The first thing we need to get started on our Web API is provide a way of serial
             # Create new instance
             return Snippet(**attrs)
 
-The first part of serializer class defines the fields that get serialized/deserialized.  The `restore_object` method defines how fully fledged instances get created when deserializing data.
+The first part of the serializer class defines the fields that get serialized/deserialized.  The `restore_object` method defines how fully fledged instances get created when deserializing data.
 
 Notice that we can also use various attributes that would typically be used on form fields, such as `widget=widgets.Textarea`.  These can be used to control how the serializer should render when displayed as an HTML form.  This is particularly useful for controlling how the browsable API should be displayed, as we'll see later in the tutorial.
 
diff --git a/docs/tutorial/4-authentication-and-permissions.md b/docs/tutorial/4-authentication-and-permissions.md
index 432371f34..491df1608 100644
--- a/docs/tutorial/4-authentication-and-permissions.md
+++ b/docs/tutorial/4-authentication-and-permissions.md
@@ -44,11 +44,11 @@ When that's all done we'll need to update our database tables.
 Normally we'd create a database migration in order to do that, but for the purposes of this tutorial, let's just delete the database and start again.
 
     rm tmp.db
-    python ./manage.py syncdb
+    python manage.py syncdb
 
 You might also want to create a few different users, to use for testing the API.  The quickest way to do this will be with the `createsuperuser` command.
 
-    python ./manage.py createsuperuser
+    python manage.py createsuperuser
 
 ## Adding endpoints for our User models