From eb9c2ad0fccb2928aaf521f59187f4d5161fb4e4 Mon Sep 17 00:00:00 2001
From: Anton Akhmerov <anton.akhmerov@gmail.com>
Date: Mon, 14 Jan 2019 21:28:46 +0000
Subject: [PATCH] reformulations of learning goals

---
 src/lecture_1.md | 4 ++--
 src/lecture_3.md | 2 +-
 2 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/src/lecture_1.md b/src/lecture_1.md
index d7db62e8..9c49766f 100644
--- a/src/lecture_1.md
+++ b/src/lecture_1.md
@@ -19,7 +19,7 @@ Exercises: 2.3, 2.4, 2.5, 2.6, 2.8
     After this lecture you will be able to:
 
     - Explain quantum mechanical effects on the heat capacity of solids (Einstein model)
-    - Compute occupation number, energy and heat capacity of a bosonic particle
+    - Compute the expected particle number, energy, and heat capacity of a quantum harmonic oscillator (a single boson)
     - Write down the total thermal energy of a material
 
 ### Einstein model
@@ -133,7 +133,7 @@ $g(\omega)$ is the _density of states_: the number of normal modes found at each
 
     - Describe the concept of reciprocal space and allowed momenta
     - Write down the total energy of phonons given the temperature and the dispersion relation
-    - Estimate heat capacity due to phonons in high temperature and low temperature regimes
+    - Estimate heat capacity due to phonons in high temperature and low temperature regimes of the Debye model
 
 #### Reciprocal space, periodic boundary conditions
 Each normal mode can be described by a _wave vector_ ${\bf k}$. A wave vector represents a point in _reciprocal space_ or _k-space_. We can find $g(\omega)$ by counting the number of normal modes in k-space and then converting those to $\omega$.
diff --git a/src/lecture_3.md b/src/lecture_3.md
index c68aa827..b5a913c5 100644
--- a/src/lecture_3.md
+++ b/src/lecture_3.md
@@ -149,7 +149,7 @@ Therefore if each atom has a single electron in the outermost shell, these atoms
 
     - Explain the origins of interatomic forces
     - Compute vibrational spectra of small molecules in 1D
-    - Write down Hamiltonians and equations of motion of bulk materials (but not yet solve them)
+    - Formulate Hamiltonians and equations of motion of bulk materials (but not yet solve them)
 
 ## Adding repulsion
 
-- 
GitLab