diff --git a/doc/source/images/tutorial3a.py b/doc/source/images/tutorial3a.py
index 843886e405319659e6b25f0a1fdb03f1f9376a11..a4068960e397e945db8e4a56e026330426cf92e2 100644
--- a/doc/source/images/tutorial3a.py
+++ b/doc/source/images/tutorial3a.py
@@ -45,7 +45,7 @@ def plot_bandstructure(flead, momenta):
     energy_list = [flead.energies(k) for k in momenta]
 
     pylab.plot(momenta, energy_list)
-    pylab.xlabel("momentum [in untis of (lattice constant)^-1]",
+    pylab.xlabel("momentum [in units of (lattice constant)^-1]",
                  fontsize=latex.mpl_label_size)
     pylab.ylabel("energy [in units of t]",
                  fontsize=latex.mpl_label_size)
diff --git a/doc/source/tutorial/tutorial1.rst b/doc/source/tutorial/tutorial1.rst
index 59ff4096511d4b96af717b109db0070a0dbdeb40..697b58780bc96517fee6f4ad3ba9e3382c1bc7bf 100644
--- a/doc/source/tutorial/tutorial1.rst
+++ b/doc/source/tutorial/tutorial1.rst
@@ -165,7 +165,8 @@ subbands that increases with energy.
      `~kwant.builder.Builder` automatically adds the other
      direction of the hopping such that the resulting system is Hermitian.
 
-     It however does not hurt the other direction of the hopping, too::
+     However, it does not hurt to define the opposite direction of hopping as
+     well.
 
          sys[(1, 0), (0, 0)] = - t
          sys[(0, 0), (1, 0)] = - t.conj()
diff --git a/doc/source/tutorial/tutorial2.rst b/doc/source/tutorial/tutorial2.rst
index 74fdbfebfe59a9a4f639f95724a9c8433e7437c3..236e980ad0c36b4f415b0c9d7758b7f4056c8ca4 100644
--- a/doc/source/tutorial/tutorial2.rst
+++ b/doc/source/tutorial/tutorial2.rst
@@ -398,7 +398,7 @@ period of one flux quantum.
     by providing an alternative starting point from where
     the lead is traced back::
 
-        sys.attach_lead(lead1, (0, 0))
+        sys.attach_lead(lead1, lat(0, 0))
 
     starts the trace-back in the middle of the ring, resulting
     in the lead being attached to the inner circle:
diff --git a/examples/tutorial3a.py b/examples/tutorial3a.py
index 058b4e20369710009f3a746e7c29f3a3610684a3..3b9e4dcb31b572ebc2a42823cc095c6dc1152456 100644
--- a/examples/tutorial3a.py
+++ b/examples/tutorial3a.py
@@ -42,7 +42,7 @@ def plot_bandstructure(flead, momenta):
     energy_list = [flead.energies(k) for k in momenta]
 
     pylab.plot(momenta, energy_list)
-    pylab.xlabel("momentum [in untis of (lattice constant)^-1]")
+    pylab.xlabel("momentum [in units of (lattice constant)^-1]")
     pylab.ylabel("energy [in units of t]")
     pylab.show()