Week 9+ material

Author: bjmorgan

CH40208/_toc.yml

@@ -13,6 +13,7 @@ parts:
         - file: course_contents/week_6
         - file: course_contents/week_7
         - file: course_contents/week_8
+        - file: course_contents/week_9
   - caption: Jupyter Notebooks
     chapters:
       - file: notebooks_introduction/what_is_a_jupyter_notebook
@@ -89,15 +90,14 @@ parts:
         - file: monte_carlo/metropolis_monte_carlo.md
         - file: monte_carlo/the_metropolis_algorithm.md
         - file: monte_carlo/ising_model_simulation.md
-          #- file: vectors_and_matrics/working_with_vectors_and_matrices.md
-        #- file: comp_chem_methods/vectors_and_matrices
-        #sections:
-        #- file: comp_chem_methods/vectors
-        #- file: comp_chem_methods/vectors_in_python
-        #- file: comp_chem_methods/matrices
-        #- file: comp_chem_methods/matrices_in_python
-        #- file: comp_chem_methods/eigenvalues_and_eigenvectors
-        #- file: comp_chem_methods/moments_of_inertia
+      - file: vectors_and_matrices/vectors_and_matrices
+        sections:
+        - file: vectors_and_matrices/vectors
+        - file: vectors_and_matrices/vectors_in_python
+        - file: vectors_and_matrices/matrices
+        - file: vectors_and_matrices/matrices_in_python
+        - file: vectors_and_matrices/eigenvalues_and_eigenvectors
+        - file: vectors_and_matrices/moments_of_inertia
   - caption: Example Coursework Notebooks
     chapters:
       - file: example_coursework_notebooks/ir_spectra.ipynb

CH40208/course_contents/week_9.md

@@ -0,0 +1,16 @@
+# Week 9
+
+**Vectors and Matrices**
+
+- [Vectors and Matrices](../vectors_and_matrices/vectors_and_matrices.md)
+    - [Vectors](../vectors_and_matrices/vectors.md)
+    - [Vectors in Python](../vectors_and_matrices/vectors_in_python.ipynb)
+    - [Matrices](../vectors_and_matrices/matrices.md)
+    - [Matrices in Python](../vectors_and_matrices/matrices_in_python.ipynb)
+
+**Extension Material**
+
+For those of you working with matrix problems for your coursework submission:
+
+- [Eigenvalues and Eigenvectors](../vectors_and_matrices/eigenvalues_and_eigenvectors.md)
+- [Moments of Inertia](../vectors_and_matrices/moments_of_inertia.md)

…_methods/eigenvalues_and_eigenvectors.md …matrices/eigenvalues_and_eigenvectors.mdCH40208/comp_chem_methods/eigenvalues_and_eigenvectors.md renamed to CH40208/vectors_and_matrices/eigenvalues_and_eigenvectors.md CH40208/comp_chem_methods/eigenvalues_and_eigenvectors.md renamed to CH40208/vectors_and_matrices/eigenvalues_and_eigenvectors.md

@@ -10,7 +10,7 @@ In general the matrix $\mathbf{M}$ can change both the magnitude and direction o
 Consider the matrix $\mathbf{M}=\begin{bmatrix}2 & 1 \\ 1 & 2\end{bmatrix}$. This gives the linear transformation shown below. 
 
 
-```{figure} ./figures/vectors_and_matrices/matrix_transformation.svg
+```{figure} ./figures/matrix_transformation.svg
 ---
 width: 650px
 name: matrix-transformation-fig
@@ -21,7 +21,7 @@ The effect of the matrix $\mathbf{M}=\begin{bmatrix}2&1\\1&2\end{bmatrix}$ is to
 
 We can also visualise this transformation by considering the effect on a set of vectors with length $1$ and different directions. Now we see that the effect of the matrix transformation is to transform a unit circle into an ellipse.
 
-```{figure} ./figures/vectors_and_matrices/matrix_transformation_unit_circle.svg
+```{figure} ./figures/matrix_transformation_unit_circle.svg
 ---
 width: 650px
 name: matrix-transformation-unit-circle-fig
@@ -43,7 +43,7 @@ $$
 
 i.e. operating on $\mathbf{v}$ by $\mathbf{M}$ gives the <em>same vector</em> $\mathbf{v}$ back, times a <em>scalar</em>, $s$. This only happens for these two &ldquo;special&rdquo; vectors, which we call the <em>eigenvectors</em> of the matrix $\mathbf{M}$. The scalar values $s$ are the <em>eigenvalues</em> of the matrix $\mathbf{M}$.
 
-```{figure} ./figures/vectors_and_matrices/ellipse_major_minor_axes_transformation.svg
+```{figure} ./figures/ellipse_major_minor_axes_transformation.svg
 ---
 width: 650px
 name: ellipse-major-minor-axes-transformation-fig