{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# IA Paper 4 - Mathematics - Examples paper 10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Question 8\n", "\n", "Draw a rudimentary contour map of the function \n", "\n", "$$\n", "z = xy\\;(2 − x − 2y)\n", "$$\n", "\n", "*Tip*: first draw lines for $z = 0$ and then think about the values of $z$ in the regions between these contours.\n", "\n", "Check your answer by plotting the contour map in Python (see hint below). Find the stationary points of the function. Determine from the sketch which are maxima, minima or saddle points. Check your answer by applying the test on P.5 of the maths data book.\n", "\n", "**Python hint**\n", "\n", "First, we need to sample $z$ on a two-dimensional grid, just like the grid in Figure 1. Suppose we are interested in $x$ values in the range -2 to 4, and we want to sample $z$ at intervals of 0.1. We set up a suitable vector of $x$ and $y$ values using:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "import numpy as np\n", "X = np.arange(-2, 4, 0.1)\n", "Y = np.arange(-2, 4, 0.1)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we stretch these values over the two-dimensional grid using:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "X, Y = np.meshgrid(X, Y)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This produces matrices `X` and `Y` containing the $x$ and y coordinates of every point on the grid. Finally, we produce the grid of $z$ values using:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "Z = X*Y*(2 - X - 2*Y)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the element-by-element multiplication indicated by `.*` - we do not want matrix multiplication here. We can now produce a contour plot of $Z$ using:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "import matplotlib.pyplot as plt\n", "plt.contour(X, Y, Z)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not enough contours? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "plt.contour(X, Y, Z, np.arange(-5.0, 5.0, 0.1))\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "will show all contours in the range -5 to 5, at intervals of 0.1. Also:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "plt.contour(X, Y, Z, 50)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "will draw contours up to 50 automatically-chosen levels. To label the legend on each contour, you can use:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "CS = plt.contour(X, Y, Z)\n", "plt.clabel(CS, inline=1, fontsize=10)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Import numpy and matplotlib\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we generate the 2D mesh grid and calculate the value of $z$ over the grid. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create 2D mesh grid\n", "X = np.arange(-2, 4, 0.1)\n", "Y = np.arange(-2, 4, 0.1)\n", "X, Y = np.meshgrid(X, Y)\n", "\n", "# Calculate the value of Z on the grid\n", "Z = X*Y*(2-X-2*Y)\n", "\n", "# Initialise the figure size and plot the contours\n", "CS = plt.contour(X, Y, Z, 50)\n", "plt.clabel(CS, inline=1)\n", "plt.xlabel('$x$')\n", "plt.ylabel('$y$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below is the code to generate a 3D surface plot for $z$. Details are not be provided, but curious students are encouraged to further understand the 3D plotting mechanism in Matplotlib." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Import 3D plotting toolkit\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "# Plot the 3D surface of the function\n", "fig = plt.figure()\n", "ax = fig.gca(projection='3d')\n", "ax.plot_surface(X, Y, Z)\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$')\n", "ax.set_zlabel('$z$');" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }