diff --git a/SimPEG/Maps.py b/SimPEG/Maps.py
index 74a92efd..6dca13dd 100644
--- a/SimPEG/Maps.py
+++ b/SimPEG/Maps.py
@@ -285,6 +285,37 @@ class LogMap(IdentityMap):
     def inverse(self, m):
         return np.exp(Utils.mkvc(m))
 
+class FullMap(IdentityMap):
+    """
+    FullMap
+
+    Given a scalar, the FullMap maps the value to the 
+    full model space.
+    """
+
+    def __init__(self,mesh,**kwargs):
+        IdentityMap.__init__(self, mesh,**kwargs)
+
+    @property
+    def nP(self):
+        return 1
+
+    def _transform(self, m):
+        """
+            :param m: model (scalar)
+            :rtype: numpy.array
+            :return: transformed model
+        """
+        return np.ones(self.mesh.nC)*m
+
+    def deriv(self, m):
+        """
+            :param numpy.array m: model
+            :rtype: numpy.array
+            :return: derivative of transformed model
+        """
+        return np.ones([self.mesh.nC,1])     
+      
 
 class Vertical1DMap(IdentityMap):
     """Vertical1DMap
diff --git a/SimPEG/Tests/test_maps.py b/SimPEG/Tests/test_maps.py
index a80bc40b..a4ebd80c 100644
--- a/SimPEG/Tests/test_maps.py
+++ b/SimPEG/Tests/test_maps.py
@@ -6,8 +6,8 @@ from scipy.sparse.linalg import dsolve
 
 TOL = 1e-14
 
-MAPS_TO_TEST_2D = ["CircleMap", "ComplexMap", "ExpMap", "IdentityMap", "Vertical1DMap", "Weighting"]
-MAPS_TO_TEST_3D = [             "ComplexMap", "ExpMap", "IdentityMap", "Vertical1DMap", "Weighting"]
+MAPS_TO_TEST_2D = ["CircleMap", "ComplexMap", "ExpMap", "IdentityMap", "Vertical1DMap", "Weighting", "FullMap"]
+MAPS_TO_TEST_3D = [             "ComplexMap", "ExpMap", "IdentityMap", "Vertical1DMap", "Weighting", "FullMap"]
 
 class MapTests(unittest.TestCase):