{ "cells": [ { "cell_type": "markdown", "id": "1bc65724", "metadata": {}, "source": [ "# 5 septembre 2023: Fonctions multivariées (2)\n", "## Dessinons des fonctions\n", "Voici différentes fonctions que vous pouvez tracer en utilisant `matplotlib.pyplot`. Essayez de les visualiser et de les interpréter." ] }, { "cell_type": "code", "execution_count": 2, "id": "c5acb86d", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "eadae5cb", "metadata": {}, "source": [ "#### Exercice 2.1 : Domaine des fonctions\n", "Pour chacune des fonctions suivantes, déterminez son domaine. Ecrivez ce domaine de manière rigoureuse.\n", "1. $f(x,y) = x^2 + y^2$\n", "2. $f(u,v) = \\frac{1}{u^2+v^2}$\n", "3. $f(a,b) = \\exp^(a+b)(a^2)$\n", "4. $f(x,y) = \\cos(x)\\sin(y)$\n", "5. $f(u,v) = 2\\exp\\left[-\\left(\\frac{(x-2)^2}{4} + \\frac{(y-1)^2}{2} \\right)\\right]$\n", "\n", "Evaluez ces fonctions en les points $(0,0)$, $(1,0)$ et $(1,1)$.\n", "\n", "#### Exercice 2.2 : graphe des fonctions\n", "Dessinez maintenant les différentes fonctions, dans chacun des cadres prévus à cet effet. Basez-vous sur l'exemple ci-dessous pour les dessiner." ] }, { "cell_type": "code", "execution_count": 30, "id": "1a57648b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Here is a sample code to draw the graphs of f(x,y) = y*x^2\n", "x, y = np.linspace(-2,2,100), np.linspace(-2,2,100)\n", "x, y = np.meshgrid(x,y)\n", "z = y*np.power(x,2)\n", "\n", "fig, ax = plt.subplots(subplot_kw={\"projection\":\"3d\"})\n", "surf = ax.plot_surface(x,y,z)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "1e7447f7", "metadata": {}, "outputs": [], "source": [ "# Plot here function 1" ] }, { "cell_type": "code", "execution_count": null, "id": "71d757de", "metadata": {}, "outputs": [], "source": [ "# Plot here function 2" ] }, { "cell_type": "code", "execution_count": null, "id": "309aa161", "metadata": {}, "outputs": [], "source": [ "# Plot here function 3" ] }, { "cell_type": "code", "execution_count": null, "id": "6aa50864", "metadata": {}, "outputs": [], "source": [ "# Plot here function 4" ] }, { "cell_type": "code", "execution_count": 14, "id": "e3840e03", "metadata": {}, "outputs": [], "source": [ "# Plot here function 5" ] }, { "cell_type": "markdown", "id": "2754feb2", "metadata": {}, "source": [ "#### Exercice 2.3 : courbes de niveau des graphes\n", "Dessinez des courbes de niveau des fonctions données ci-dessus, à 3 ou 4 valeurs choisies.\n", "Pour cela, utilisez la méthode `matplotlib.pyplot.contour`." ] }, { "cell_type": "code", "execution_count": 29, "id": "68221ff4", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Example for the function f(x,y) = y*x^2\n", "x, y = np.linspace(-2,2,100), np.linspace(-2,2,100)\n", "x, y = np.meshgrid(x,y)\n", "z = y*np.power(x,2)\n", "\n", "fig, ax = plt.subplots()\n", "plt.contour(z,levels=[-2,0,1,2,3])\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 24, "id": "e17c5aff", "metadata": {}, "outputs": [], "source": [ "# Draw here function 1" ] }, { "cell_type": "code", "execution_count": 25, "id": "141f28fa", "metadata": {}, "outputs": [], "source": [ "# Draw here function 2" ] }, { "cell_type": "code", "execution_count": 26, "id": "d33b9cc3", "metadata": {}, "outputs": [], "source": [ "# Draw here function 3" ] }, { "cell_type": "code", "execution_count": 27, "id": "be8d7608", "metadata": {}, "outputs": [], "source": [ "# Draw here function 4" ] }, { "cell_type": "code", "execution_count": 28, "id": "99008269", "metadata": {}, "outputs": [], "source": [ "# Draw here function 5" ] }, { "cell_type": "markdown", "id": "b79a625e", "metadata": {}, "source": [ "## Et les dérivées, dans tout ça ?\n", "Attendez avant de calculer des dérivées n'importe comment ;-). On fait le point ?\n", "\n", "#### Exercice 3.1 : dérivées partielles\n", "Calculez les dérivées partielles des différentes fonctions.\n", "\n", "#### Exercice 3.2 : gradients\n", "Calculez les gradients de ces fonctions. Evaluez-les en $(0,0)$ si ce point existe. Essayez de les annuler.\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.4" } }, "nbformat": 4, "nbformat_minor": 5 }