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chapter2-exercise change
the first 3 exercises are moved to chapter 5
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book/flow/Exercises/01.ipynb

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"#questions = [[q] for q in questions]"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"metadata": {
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"id": "su7ODKnqB7tv",
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"nbgrader": {
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"grade": false,
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"locked": true,
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"solution": false
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}
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},
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"source": [
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"## Exercise 2.1.1\n",
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"\n",
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"In the code cell bellow you can see a function that finds the greatest common divisor of any two numbers using the <code>math</code> module. "
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/"
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},
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"collapsed": true,
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"id": "YjB37kkNGsr9",
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"outputId": "36e77aac-9e26-4c63-fbf5-e030e5539ab1"
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},
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"outputs": [],
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"source": [
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"import math\n",
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"\n",
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"def find_greatest_common_divisor(a, b):\n",
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" greatest_common_divisor = math.gcds(a, b)\n",
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" return greatest_common_divisor\n",
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"\n",
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"print('The greatest common divisor is:', find_greatest_common_divisor(2, 4))"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<iframe src=\"https://tudelft.h5p.com/content/1292447931155380807/embed\" aria-label=\"Exercise 2.1.1\" width=\"1088\" height=\"637\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" allow=\"autoplay *; geolocation *; microphone *; camera *; midi *; encrypted-media *\"></iframe><script src=\"https://tudelft.h5p.com/js/h5p-resizer.js\" charset=\"UTF-8\"></script>"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"tags": [
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"remove-input"
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]
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},
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"outputs": [],
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"source": [
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"# jupyterquiz-exercise-2-1-1\n",
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"#display_quiz(questions[0])"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"metadata": {
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"id": "aaxayx2RH9IM",
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"nbgrader": {
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"grade": false,
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"locked": true,
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"solution": false
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}
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},
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"source": [
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"## (Searching) Exercise 2.1.2\n",
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"\n",
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"We can only take and store measurements at a limited number of locations and/or times. But what if we are interested in a value in between, i.e., at a location/time where we do not have a measurement? Then we can use interpolation to estimate that value. A popular, and simple, interpolation technique is <a href=\"https://en.wikipedia.org/wiki/Linear_interpolation\">linear interpolation</a>. \n",
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"Your task is to use the module <code>scipy</code> to perform a 1D linear interpolation between a set of known points, where <code>x_known</code> and <code>y_known</code> are arrays with the measured $x$ and $y$ values. Use Google to look up the 1D interpolation function in <code>scipy</code>.<br><br>In the code below there is something missing after `return` (look the three dots). What should be the correct missing code for the function to give us the desired result?"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": true,
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"id": "ZazhpxxTIzxE"
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},
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"outputs": [],
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"source": [
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"from scipy import interpolate\n",
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"\n",
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"def interpolate_inbetween(x_known, y_known, x_predict):\n",
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" f = interpolate.interp1d(x_known, y_known)\n",
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" return ...\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<iframe src=\"https://tudelft.h5p.com/content/1292447937376291357/embed\" aria-label=\"Exercise 2.1.2\" width=\"1088\" height=\"637\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" allow=\"autoplay *; geolocation *; microphone *; camera *; midi *; encrypted-media *\"></iframe><script src=\"https://tudelft.h5p.com/js/h5p-resizer.js\" charset=\"UTF-8\"></script>"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"tags": [
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"remove-input"
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]
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},
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"outputs": [],
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"source": [
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"# jupyterquiz-exercise-2-1-2\n",
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"#display_quiz(questions[1])"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"metadata": {
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"id": "Ue4CKV8PKnBG",
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"nbgrader": {
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"grade": false,
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"locked": true,
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"solution": false
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}
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},
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"source": [
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"## (Searching) Exercise 2.1.3\n",
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"\n",
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"Now, let's try to measure the running time of a function, for that we will need the <code>time</code> module. Use it to measure the working time of the <code>cool_function()</code> below."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": true,
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"id": "C1aOizjOK7sl",
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"nbgrader": {
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"grade": false,
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"locked": true,
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"solution": false
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}
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},
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"outputs": [],
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"source": [
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"# you do not need to change anything in this cell\n",
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"def cool_function():\n",
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" x = 0\n",
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" for i in range(100000000):\n",
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" x += 1\n"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Which of the following functions will give us the working time of the <code>cool_function()</code>?"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"\n",
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"<div style=\"padding: 10px; border: 1px solid gray;\">\n",
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"\n",
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"* **Option A**\n",
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"```python\n",
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"def measure_time(func):\n",
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" t0 = time.time()\n",
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" t1 = time.time()\n",
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" return t1 - t0\n",
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"```\n",
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"\n",
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"* **Option B**\n",
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"```python\n",
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"def measure_time(func):\n",
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" t0 = time.time()\n",
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" func()\n",
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" t1 = time.time()\n",
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" return t1 - t0\n",
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"```\n",
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"* **Option C**\n",
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"```python\n",
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"def measure_time(func,t0,t1):\n",
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" t0 = time.time()\n",
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" func()\n",
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" t1 = time.time()\n",
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" return func\n",
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"```\n",
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"\n",
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"</div>\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<iframe src=\"https://tudelft.h5p.com/content/1292447953779786487/embed\" aria-label=\"Exercise 2.1.3(needrevision)\" width=\"1088\" height=\"637\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" allow=\"autoplay *; geolocation *; microphone *; camera *; midi *; encrypted-media *\"></iframe><script src=\"https://tudelft.h5p.com/js/h5p-resizer.js\" charset=\"UTF-8\"></script>"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"tags": [
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"remove-input"
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]
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},
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"outputs": [],
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"source": [
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"# jupyterquiz-exercise-2-1-3\n",
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"#display_quiz(questions[2])"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",

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