updated 00_intro for fall_2024

* added some figures
* minor text edits

Author: mspieg

00_intro_numerical_methods.ipynb

@@ -203,7 +203,7 @@
    "cell_type": "code",
    "execution_count": null,
    "metadata": {
-    "hide_input": false,
+    "hide_input": true,
     "slideshow": {
      "slide_type": "fragment"
     }
@@ -269,7 +269,7 @@
     "\n",
     "### Some problems are too big to be done by hand. \n",
     "\n",
-    "It may not possible to calculate an exact answer in a convenient amount of time. It may be that a system is over constrained and obtaining an answer that matches all requirements is not possible.\n",
+    "It may not possible to calculate an exact answer in a convenient amount of time.  E.g. Large linear systems (with exact solutions) occur in many problems, but require $O(N^3)$ operations.\n",
     "\n",
     "<table style=\"width:50%\">\n",
     "  <tr>\n",
@@ -445,8 +445,8 @@
    },
    "outputs": [],
    "source": [
-    "sigma = .2\n",
-    "k = 0.01\n",
+    "sigma = .5\n",
+    "k = 0.025\n",
     "t_max = 150\n",
     "sir_0 = [0.999, 0.001, 0.]\n",
     "sol = solve_ivp(sir, [0, t_max] , sir_0, args=(sigma, k), rtol=1.e-6, atol=1.e-9,dense_output = True)"
@@ -739,7 +739,7 @@
     "- Optimization -- linear programming, constrained optimization\n",
     "- Numerical Solution of PDE's (APMA E4301)\n",
     "- Mathematical Modeling (maybe a little)\n",
-    "- Machine Learning/Data Science (APMA 4990 Intro Math of Data Science)\n",
+    "- Machine Learning/Data Science (Lots of other courses)\n",
     "- Lot's of things that would be fun...\n"
    ]
   },
@@ -766,6 +766,28 @@
     "</table>"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Some FEM Magma Dynamics models (from Spiegelman)\n",
+    "\n",
+    "\n",
+    "\n",
+    "Choose and understand critical methods that are essential for Numerical PDE's, modeling and scientific computation.\n",
+    "\n",
+    "\n",
+    "<table style=\"width:120%\">\n",
+    "  <tr>\n",
+    "    <th align=\"center\"><img src=\"./images/TerraFERMAExamples.jpg\" width=\"1000\" align=\"center\"/></th>\n",
+    "  </tr>\n",
+    "</table>"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {
@@ -822,8 +844,8 @@
     "\n",
     "- 2 Lectures per week (recorded for CVN, makeups)\n",
     "- Office Hours\n",
-    "- 8 Problem sets (75\\%)\n",
-    "- Final Project (25\\%)"
+    "- 8 Problem sets (60\\%)\n",
+    "- Final Project (40\\%)"
    ]
   },
   {
@@ -867,7 +889,7 @@
     }
    },
    "source": [
-    "#### Please fill out the [User Survey](https://forms.gle/5dCQfoQYV6FqcDbf9) if you haven't already"
+    "#### Please fill out the [User Survey](https://forms.gle/2oYm9PEcytBD4Y7r8) if you haven't already"
    ]
   },
   {
@@ -943,7 +965,7 @@
     "\n",
     "* Compiled languages: C, C++, Fortran\n",
     "* Commercial interactive modeling systems: Matlab, Mathematical, IDL\n",
-    "* Open-source interpreted languages: Python, R, Ruby, Julia"
+    "* Open-source interpreted languages: Python, R, Julia, Ruby"
    ]
   },
   {
@@ -1038,7 +1060,7 @@
     " - Can be slow\n",
     " - Packaging system is a bit crufty\n",
     " - Discipline is forced on the programmer by the design of the language. Can limit choices available for how to implement an algorithm. (The *python* way.)\n",
-    " - Too many Monty Python jokes (not really a con)"
+    " "
    ]
   },
   {