diff --git a/server/objectives/inputs.py b/server/objectives/inputs.py
index cd4a96cf..2c08ea01 100644
--- a/server/objectives/inputs.py
+++ b/server/objectives/inputs.py
@@ -4,13 +4,15 @@ from graphene import InputObjectType
 
 class ObjectiveInput(InputObjectType):
     text = graphene.String(required=True)
+    id = graphene.ID()
 
 
-class ObjectiveGroupInput(InputObjectType):
+class AddObjectiveGroupArgument(InputObjectType):
     title = graphene.String(required=True)
     module = graphene.ID(required=True)
     objectives = graphene.List(ObjectiveInput)
 
 
-class AddObjectiveGroupArgument(ObjectiveGroupInput):
-    pass
+class UpdateObjectiveGroupArgument(InputObjectType):
+    id = graphene.ID(required=True)
+    objectives = graphene.List(ObjectiveInput)
diff --git a/server/objectives/mutations.py b/server/objectives/mutations.py
index ee27bcd6..df9e50ff 100644
--- a/server/objectives/mutations.py
+++ b/server/objectives/mutations.py
@@ -1,10 +1,12 @@
 import graphene
 from graphene import relay, InputObjectType
+from graphql_relay import from_global_id
+
 from api.utils import get_object
 from books.models import Module
 from books.schema.inputs import UserGroupBlockVisibility
 from core.utils import set_visible_for, set_hidden_for
-from objectives.inputs import AddObjectiveGroupArgument
+from objectives.inputs import AddObjectiveGroupArgument, UpdateObjectiveGroupArgument
 from objectives.models import ObjectiveProgressStatus, Objective, ObjectiveGroup
 from objectives.schema import ObjectiveNode, ObjectiveGroupNode
 
@@ -79,7 +81,39 @@ class AddObjectiveGroup(relay.ClientIDMutation):
         return cls(objective_group=new_objective_group)
 
 
+class UpdateObjectiveGroup(relay.ClientIDMutation):
+    class Input:
+        objective_group = graphene.Argument(UpdateObjectiveGroupArgument)
+
+    objective_group = graphene.Field(ObjectiveGroupNode)
+
+    @classmethod
+    def mutate_and_get_payload(cls, root, info, **kwargs):
+        objective_group_data = kwargs.get('objective_group')
+        id = objective_group_data.get('id')
+        objective_group = get_object(ObjectiveGroup, id)
+        objectives = objective_group_data.get('objectives')
+        existing_objective_ids = list(objective_group.objectives.values_list('id', flat=True))
+        for objective in objectives:
+            if objective.get('id') is not None:
+                objective_id = objective.get('id')
+                updated_objective = get_object(Objective, objective_id)
+                updated_objective.text = objective.get('text')
+                updated_objective.save()
+                existing_objective_ids.remove(int(from_global_id(objective_id)[1]))
+            else:
+                Objective.objects.create(text=objective.get('text'), group=objective_group)
+
+        # remove existing items that are not in payload
+        for objective_id in existing_objective_ids:
+            objective = Objective.objects.get(pk=objective_id)
+            objective.delete()
+
+        return cls(objective_group=objective_group)
+
+
 class ObjectiveMutations:
     update_objective_progress = UpdateObjectiveProgress.Field()
     update_objective_group_visibility = UpdateObjectiveGroupVisibility.Field()
     add_objective_group = AddObjectiveGroup.Field()
+    update_objective_group = UpdateObjectiveGroup.Field()
diff --git a/server/objectives/schema.py b/server/objectives/schema.py
index cef4e1dd..0c6f136a 100644
--- a/server/objectives/schema.py
+++ b/server/objectives/schema.py
@@ -9,6 +9,7 @@ from objectives.models import ObjectiveGroup, Objective, ObjectiveProgressStatus
 class ObjectiveGroupNode(DjangoObjectType):
     pk = graphene.Int()
     display_title = graphene.String()
+    mine = graphene.Boolean()
 
     class Meta:
         model = ObjectiveGroup
@@ -21,6 +22,9 @@ class ObjectiveGroupNode(DjangoObjectType):
     def resolve_display_title(self, *args, **kwargs):
         return self.get_title_display()
 
+    def resolve_mine(self, info, **kwargs):
+        return self.owner is not None and self.owner.pk == info.context.user.pk
+
 
 
 class ObjectiveNode(DjangoObjectType):