Added Problem Set 1

_toc.yml

@@ -155,6 +155,7 @@ parts:
       - file: fall2023/syllabus.md
       - file: fall2023/schedule.md
       - file: fall2023/project.md
+      - file: notebooks/assignments/ProblemSet1_F23.ipynb
     - file: notebooks/contrib/contribute.md
       sections:
         - file: notebooks/contrib/Biotransport-Entrance-Length.ipynb

fall2023/schedule.md

@@ -9,7 +9,7 @@
 | Friday, September 8, 2023 | [](../notebooks/03/chapter4.ipynb) and [](../notebooks/03/chapter5.ipynb)  |
 | Friday, September 15, 2023 | [](../notebooks/03/chapter6.ipynb) and mini-project pseudocode |
 | Friday, September 22, 2023 | Mini-Project: Simulating Games of Chance |
-| Friday, September 29, 2023 | Problem Set 1: Systems of Equations and Taylor Series |
+| Friday, September 29, 2023 | [Problem Set 1: Linear Systems and Taylor Series](../notebooks/assignments/ProblemSet1_F23.ipynb) |
 | Friday, October 6, 2023 | Problem Set 2: Numeric Integration; Project Proposals |
 | Friday, October 27, 2023 | Problem Set 3: Pandas and Probability |
 | Friday, November 3, 2023 | Problem Set 4: Error Propagation |

notebooks/03-dev/chapter6.ipynb

@@ -444,7 +444,7 @@
     "\\bf{A} = \\sum_i \\lambda_i {\\bf w}_i {\\bf w}_i^T\n",
     "$$\n",
     "\n",
-    "Here, $\\lambda_i$ and eigenvalues and ${\\bf w}_i$ are the corresponding eigenvectors.\n",
+    "Here, $\\lambda_i$ are the eigenvalues and ${\\bf w}_i$ are the corresponding eigenvectors.\n",
     "\n",
     "$$\n",
     "\\bf{A x} = \\sum_i \\lambda_i \\left( {\\bf w}_i {\\bf w}_i^T {\\bf x} \\right)\n",
@@ -674,14 +674,12 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "# Eigendecomposition\n",
-    "# l, w = la.eig(img)\n",
-    "\n",
     "U, S, Vh = la.svd(img, full_matrices=True)\n",
     "\n",
     "plt.semilogy(np.abs(S))\n",
     "plt.xlabel(\"Index\",fontsize=18)\n",
-    "plt.ylabel(r\"$|~\\sigma_i~|$\",fontsize=18)"
+    "plt.ylabel(r\"$|~\\sigma_i~|$\",fontsize=18)\n",
+    "plt.show()"
    ]
   },
   {

notebooks/03/chapter6.ipynb

@@ -438,7 +438,7 @@
     "\\bf{A} = \\sum_i \\lambda_i {\\bf w}_i {\\bf w}_i^T\n",
     "$$\n",
     "\n",
-    "Here, $\\lambda_i$ and eigenvalues and ${\\bf w}_i$ are the corresponding eigenvectors.\n",
+    "Here, $\\lambda_i$ are the eigenvalues and ${\\bf w}_i$ are the corresponding eigenvectors.\n",
     "\n",
     "$$\n",
     "\\bf{A x} = \\sum_i \\lambda_i \\left( {\\bf w}_i {\\bf w}_i^T {\\bf x} \\right)\n",
@@ -668,14 +668,12 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "# Eigendecomposition\n",
-    "# l, w = la.eig(img)\n",
-    "\n",
     "U, S, Vh = la.svd(img, full_matrices=True)\n",
     "\n",
     "plt.semilogy(np.abs(S))\n",
     "plt.xlabel(\"Index\",fontsize=18)\n",
-    "plt.ylabel(r\"$|~\\sigma_i~|$\",fontsize=18)"
+    "plt.ylabel(r\"$|~\\sigma_i~|$\",fontsize=18)\n",
+    "plt.show()"
    ]
   },
   {