Upload calculus.ipynb

calculus.ipynb

@@ -3,7 +3,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "f78791d5",
+   "id": "72145cbe",
    "metadata": {},
    "outputs": [
     {
@@ -24,7 +24,7 @@
     "import mercury as mr\n",
     " \n",
     "# set Application parameters\n",
-    "app = mr.App(title=\"Calculus Problem Generator\",\n",
+    "app = mr.App(title=\"Calculus with button\",\n",
     "        description=\"Generates expressions which students can apply differential and integral calculus to.\",\n",
     "        show_code=False,\n",
     "        show_prompt=False,\n",
@@ -37,15 +37,15 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
-   "id": "46df7f52",
+   "execution_count": 11,
+   "id": "0308f4b7",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "application/mercury+json": "{\n    \"widget\": \"Button\",\n    \"label\": \"New equation\",\n    \"style\": \"primary\",\n    \"value\": false,\n    \"model_id\": \"924849ab8db145cf8e9f7bc75f38bb23\",\n    \"code_uid\": \"Button.0.40.11.1-randd017f351\",\n    \"disabled\": false,\n    \"hidden\": false\n}",
+      "application/mercury+json": "{\n    \"widget\": \"Button\",\n    \"label\": \"New equation\",\n    \"style\": \"primary\",\n    \"value\": false,\n    \"model_id\": \"d823df88c8e04ab6918655ea513e41e2\",\n    \"code_uid\": \"Button.0.40.11.2-rand7b3a5be9\",\n    \"disabled\": false,\n    \"hidden\": false\n}",
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "924849ab8db145cf8e9f7bc75f38bb23",
+       "model_id": "d823df88c8e04ab6918655ea513e41e2",
        "version_major": 2,
        "version_minor": 0
       },
@@ -58,22 +58,23 @@
     }
    ],
    "source": [
+    "init_equations = True\n",
     "generate = mr.Button(label=\"New equation\")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
-   "id": "3a7db45a",
+   "execution_count": 12,
+   "id": "d0b8998c",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/latex": [
-       "$\\displaystyle \\frac{d}{d \\theta} \\left(- \\sqrt{\\theta} + \\sin{\\left(\\theta \\right)} + \\cos{\\left(\\theta \\right)}\\right) = ?$"
+       "$\\displaystyle \\frac{d}{d \\theta} \\left(\\left(\\theta + 9\\right) \\cos{\\left(\\theta \\right)} - \\cos{\\left(\\theta \\right)}\\right) = ?$"
       ],
       "text/plain": [
-       "Eq(Derivative(-sqrt(theta) + sin(theta) + cos(theta), theta), ?)"
+       "Eq(Derivative((theta + 9)*cos(theta) - cos(theta), theta), ?)"
       ]
      },
      "metadata": {},
@@ -82,10 +83,10 @@
     {
      "data": {
       "text/latex": [
-       "$\\displaystyle \\int \\left(z - 3\\right) \\left(6 z - 10\\right)\\, dz = ?$"
+       "$\\displaystyle \\int \\left(2 v + 11\\right)\\, dv = ?$"
       ],
       "text/plain": [
-       "Eq(Integral((z - 3)*(6*z - 10), z), ?)"
+       "Eq(Integral(2*v + 11, v), ?)"
       ]
      },
      "metadata": {},
@@ -106,10 +107,10 @@
     {
      "data": {
       "text/latex": [
-       "$\\displaystyle \\frac{d}{d \\theta} \\left(- \\sqrt{\\theta} + \\sin{\\left(\\theta \\right)} + \\cos{\\left(\\theta \\right)}\\right) = - \\sin{\\left(\\theta \\right)} + \\cos{\\left(\\theta \\right)} - \\frac{1}{2 \\sqrt{\\theta}}$"
+       "$\\displaystyle \\frac{d}{d \\theta} \\left(\\left(\\theta + 9\\right) \\cos{\\left(\\theta \\right)} - \\cos{\\left(\\theta \\right)}\\right) = - \\left(\\theta + 9\\right) \\sin{\\left(\\theta \\right)} + \\sin{\\left(\\theta \\right)} + \\cos{\\left(\\theta \\right)}$"
       ],
       "text/plain": [
-       "Eq(Derivative(-sqrt(theta) + sin(theta) + cos(theta), theta), -sin(theta) + cos(theta) - 1/(2*sqrt(theta)))"
+       "Eq(Derivative((theta + 9)*cos(theta) - cos(theta), theta), -(theta + 9)*sin(theta) + sin(theta) + cos(theta))"
       ]
      },
      "metadata": {},
@@ -118,10 +119,10 @@
     {
      "data": {
       "text/latex": [
-       "$\\displaystyle \\int \\left(z - 3\\right) \\left(6 z - 10\\right)\\, dz = 2 z^{3} - 14 z^{2} + 30 z$"
+       "$\\displaystyle \\int \\left(2 v + 11\\right)\\, dv = v^{2} + 11 v$"
       ],
       "text/plain": [
-       "Eq(Integral((z - 3)*(6*z - 10), z), 2*z**3 - 14*z**2 + 30*z)"
+       "Eq(Integral(2*v + 11, v), v**2 + 11*v)"
       ]
      },
      "metadata": {},
@@ -242,7 +243,7 @@
     "def rhs():\n",
     "    return display(Eq(nsimplify(output1.lhs),nsimplify(output1.rhs)),Eq(nsimplify(output2.lhs),nsimplify(output2.rhs)))\n",
     "\n",
-    "if generate.clicked:\n",
+    "if generate.clicked or init_equations:\n",
     "    lhs()\n",
     "    print(\"\\n\")\n",
     "    print(\"\\n\")\n",
@@ -253,7 +254,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "08e768e2",
+   "id": "d0962de8",
    "metadata": {},
    "outputs": [],
    "source": []