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‎.nbgrader.log

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[NbGraderApp | INFO] New config file saved to 'nbgrader_config.py'
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[AssignApp | INFO] Copying /Users/andrew/notebooks/courset_demo_1/source/./ps1/jupyter.png -> /Users/andrew/notebooks/courset_demo_1/release/./ps1/jupyter.png
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[AssignApp | INFO] Updating/creating assignment 'ps1': {}
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[AssignApp | INFO] Converting notebook /Users/andrew/notebooks/courset_demo_1/source/./ps1/problem1.ipynb
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[AssignApp | INFO] Writing 7884 bytes to /Users/andrew/notebooks/courset_demo_1/release/./ps1/problem1.ipynb
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[AssignApp | INFO] Converting notebook /Users/andrew/notebooks/courset_demo_1/source/./ps1/problem2.ipynb
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[AssignApp | INFO] Writing 2258 bytes to /Users/andrew/notebooks/courset_demo_1/release/./ps1/problem2.ipynb
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[AssignApp | INFO] Setting destination file permissions to 644

‎gradebook.db

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‎nbgrader_config.py

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‎release/ps1/jupyter.png

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‎release/ps1/problem1.ipynb

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{
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"cells": [
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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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"Before you turn this problem in, make sure everything runs as expected. First, **restart the kernel** (in the menubar, select Kernel$\\rightarrow$Restart) and then **run all cells** (in the menubar, select Cell$\\rightarrow$Run All).\n",
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"\n",
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"Make sure you fill in any place that says `YOUR CODE HERE` or \"YOUR ANSWER HERE\", as well as your name and collaborators 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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"outputs": [],
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"source": [
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"NAME = \"\"\n",
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"COLLABORATORS = \"\""
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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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"---"
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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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"deletable": false,
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"editable": false,
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"nbgrader": {
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"checksum": "535c21960d4663d5edac398cb445d087",
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"grade": false,
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"grade_id": "jupyter",
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"locked": true,
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"schema_version": 1,
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"solution": false
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}
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},
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"source": [
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"For this problem set, we'll be using the Jupyter notebook:\n",
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"\n",
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"![](jupyter.png)"
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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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"---\n",
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"## Part A (2 points)\n",
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"\n",
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"Write a function that returns a list of numbers, such that $x_i=i^2$, for $1\\leq i \\leq n$. Make sure it handles the case where $n<1$ by raising a `ValueError`."
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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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"deletable": false,
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"nbgrader": {
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"checksum": "8f1eab8d02a9520920aa06f8a86a2492",
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"grade": false,
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"grade_id": "squares",
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"locked": false,
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"schema_version": 1,
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"solution": true
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}
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},
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"outputs": [],
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"source": [
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"def squares(n):\n",
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" \"\"\"Compute the squares of numbers from 1 to n, such that the \n",
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" ith element of the returned list equals i^2.\n",
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" \n",
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" \"\"\"\n",
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" # YOUR CODE HERE\n",
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" raise NotImplementedError()"
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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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"Your function should print `[1, 4, 9, 16, 25, 36, 49, 64, 81, 100]` for $n=10$. Check that it does:"
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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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"outputs": [],
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"source": [
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"squares(10)"
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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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"deletable": false,
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"editable": false,
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"nbgrader": {
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"checksum": "8f41dd0f9c8fd2da8e8708d73e506b3a",
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"grade": true,
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"grade_id": "correct_squares",
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"locked": false,
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"points": 1.0,
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"schema_version": 1,
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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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"\"\"\"Check that squares returns the correct output for several inputs\"\"\"\n",
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"assert squares(1) == [1]\n",
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"assert squares(2) == [1, 4]\n",
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"assert squares(10) == [1, 4, 9, 16, 25, 36, 49, 64, 81, 100]\n",
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"assert squares(11) == [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121]"
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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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"deletable": false,
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"editable": false,
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"nbgrader": {
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"checksum": "23c2b667d3b60eff3be46eb3290a6b4a",
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"grade": true,
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"grade_id": "squares_invalid_input",
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"locked": false,
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"points": 1.0,
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"schema_version": 1,
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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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"\"\"\"Check that squares raises an error for invalid inputs\"\"\"\n",
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"try:\n",
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" squares(0)\n",
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"except ValueError:\n",
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" pass\n",
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"else:\n",
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" raise AssertionError(\"did not raise\")\n",
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"\n",
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"try:\n",
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" squares(-4)\n",
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"except ValueError:\n",
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" pass\n",
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"else:\n",
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" raise AssertionError(\"did not raise\")"
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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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"---\n",
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"\n",
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"## Part B (1 point)\n",
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"\n",
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"Using your `squares` function, write a function that computes the sum of the squares of the numbers from 1 to $n$. Your function should call the `squares` function -- it should NOT reimplement its functionality."
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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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"deletable": false,
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"nbgrader": {
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"checksum": "166e1abc6621f93f8084ec312c49f757",
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"grade": false,
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"grade_id": "sum_of_squares",
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"locked": false,
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"schema_version": 1,
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"solution": true
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}
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},
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"outputs": [],
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"source": [
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"def sum_of_squares(n):\n",
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" \"\"\"Compute the sum of the squares of numbers from 1 to n.\"\"\"\n",
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" # YOUR CODE HERE\n",
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" raise NotImplementedError()"
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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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"The sum of squares from 1 to 10 should be 385. Verify that this is the answer you get:"
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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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"outputs": [],
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"source": [
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"sum_of_squares(10)"
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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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"deletable": false,
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"editable": false,
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"nbgrader": {
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"checksum": "35f884697f5b0145e7306523a083cfd1",
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"grade": true,
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"grade_id": "correct_sum_of_squares",
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"locked": false,
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"points": 0.5,
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"schema_version": 1,
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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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"\"\"\"Check that sum_of_squares returns the correct answer for various inputs.\"\"\"\n",
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"assert sum_of_squares(1) == 1\n",
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"assert sum_of_squares(2) == 5\n",
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"assert sum_of_squares(10) == 385\n",
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"assert sum_of_squares(11) == 506"
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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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"deletable": false,
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"editable": false,
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"nbgrader": {
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"checksum": "2d414bfb292d5a6d2b442fc7d8206a0b",
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"grade": true,
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"grade_id": "sum_of_squares_uses_squares",
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"locked": false,
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"points": 0.5,
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"schema_version": 1,
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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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"\"\"\"Check that sum_of_squares relies on squares.\"\"\"\n",
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"orig_squares = squares\n",
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"del squares\n",
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"try:\n",
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" sum_of_squares(1)\n",
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"except NameError:\n",
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" pass\n",
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"else:\n",
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" raise AssertionError(\"sum_of_squares does not use squares\")\n",
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"finally:\n",
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" squares = orig_squares"
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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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"---\n",
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"## Part C (1 point)\n",
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"\n",
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"Using LaTeX math notation, write out the equation that is implemented by your `sum_of_squares` function."
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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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"deletable": false,
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"nbgrader": {
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"checksum": "f3cc38a3e522c0be10852ebbe2a638b7",
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"grade": true,
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"grade_id": "sum_of_squares_equation",
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"locked": false,
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"points": 1.0,
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"schema_version": 1,
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"solution": true
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}
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},
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"source": [
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"YOUR ANSWER HERE"
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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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"---\n",
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"## Part D (2 points)\n",
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"\n",
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"Find a usecase for your `sum_of_squares` function and implement that usecase in the cell 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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"deletable": false,
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"nbgrader": {
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"checksum": "5a96910dbc324f5565edf92f5c98af1b",
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"grade": true,
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"grade_id": "sum_of_squares_application",
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"locked": false,
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"points": 2.0,
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"schema_version": 1,
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"solution": true
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}
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},
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"outputs": [],
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"source": [
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"# YOUR CODE HERE\n",
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"raise NotImplementedError()"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python",
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"language": "python",
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"name": "python"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 0
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}

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