diff --git a/src/lecture_2.md b/src/lecture_2.md
index 706d395993d3d2943b6af6c118e6d0957048ed9c..056e6163aec7d3846ded733978d71ad15430a2ae 100644
--- a/src/lecture_2.md
+++ b/src/lecture_2.md
@@ -92,8 +92,8 @@ While most materials have $R_{\rm H}>0$, interestingly some materials are found
     After this lecture you will be able to:
     
     - calculate the electron density of states in 1D, 2D, and 3D using the Sommerfeld free-electron model.
-    - express the number and energy of particles in a system using integrals over k-space.
-    - use the Fermi function to extend the previous learning goal to finite T.
+    - express the number and energy of particles in a system in terms of integrals over k-space.
+    - use the Fermi distribution to extend the previous learning goal to finite T.
     - calculate the electron contribution to the specific heat of a solid.
     - describe central terms such as the Fermi energy, Fermi temperature, and Fermi wavevector.