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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "# --- 1. Parameters and Data Generation ---\n", + "k = 11 # From Pattanaphol\n", + "N = 30\n", + "R = 1 + k/100 # 1.11\n", + "sigma = 0.05\n", + "np.random.seed(42) # for reproducibility\n", + "\n", + "\n", + "# Generate x values\n", + "x = np.linspace(0.1, R, N)\n", + "\n", + "\n", + "# True function: y_true = 5x^4 - 3x^3 + 2x^2 - x + 1\n", + "y_true_func = lambda x: 5*x**4 - 3*x**3 + 2*x**2 - x + 1\n", + "y_true = y_true_func(x)\n", + "noise = np.random.normal(0, sigma, N)\n", + "y_noisy = y_true + noise\n", + "\n", + "\n", + "# --- 2. Helper Functions ---\n", + "def vandermonde_matrix(x, degree):\n", + " \"\"\"Constructs the Vandermonde matrix A = [x^n, ..., x^1, 1]\"\"\"\n", + " return np.vander(x, degree + 1, increasing=False)\n", + "\n", + "\n", + "def estimate_coefficients(A, B, rho=0):\n", + " \"\"\"Calculates coefficients X* for LS (rho=0) or Ridge (rho>0).\"\"\"\n", + " # X* = (A^T A + rho*I)^-1 * A^T B\n", + " AT = A.T\n", + " ATA = AT @ A\n", + " I = np.identity(ATA.shape[0])\n", + " \n", + " # Calculate X* using the generalized solution\n", + " XTX_plus_rhoI_inv = np.linalg.inv(ATA + rho * I)\n", + " X_star = XTX_plus_rhoI_inv @ AT @ B\n", + " return X_star\n", + "\n", + "\n", + "def poly_val(x_plot, X_star):\n", + " \"\"\"Evaluates the polynomial on x_plot using coefficients X_star.\"\"\"\n", + " degree = len(X_star) - 1\n", + " A_plot = np.vander(x_plot, degree + 1, increasing=False)\n", + " return A_plot @ X_star\n", + "\n", + "\n", + "# --- 3. Coefficient Estimation (LS & RR) ---\n", + "B = y_noisy.reshape(-1, 1)\n", + "\n", + "\n", + "# Calculate all models for plotting\n", + "X_star1 = estimate_coefficients(vandermonde_matrix(x, 1), B, rho=0)\n", + "X_star7_ls = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0)\n", + "X_star7_rr2 = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0.1)\n", + "\n", + "\n", + "# --- 4. Plotting ---\n", + "x_plot = np.linspace(x.min(), x.max(), 500)\n", + "y_model1 = poly_val(x_plot, X_star1)\n", + "y_model7_ls = poly_val(x_plot, X_star7_ls)\n", + "y_model7_rr2 = poly_val(x_plot, X_star7_rr2)\n", + "y_true_plot = y_true_func(x_plot)\n", + "\n", + "\n", + "plt.figure(figsize=(12, 8))\n", + "\n", + "\n", + "# Raw Data (Scatter Plot)\n", + "plt.scatter(x, y_noisy, label='Original Noisy Raw Data $(x_i, y_i)$', color='k', marker='o', s=30)\n", + "plt.plot(x_plot, y_true_plot, label='True Underlying Polynomial $y_{true}$ (Degree 4)', color='gray', linestyle='--')\n", + "\n", + "\n", + "# Estimated Models (Line Plots)\n", + "plt.plot(x_plot, y_model1, label='1) Model $n=1$ (Least Squares)', color='r', linestyle='-', linewidth=2)\n", + "plt.plot(x_plot, y_model7_ls, label='3) Model $n=7$ (Least Squares, Overfit)', color='g', linestyle='-', linewidth=2)\n", + "plt.plot(x_plot, y_model7_rr2, label=r'4.2) Model $n=7$ (Ridge, $\\rho=0.1$, Stabilized)', color='b', linestyle='-', linewidth=2)\n", + "\n", + "\n", + "\n", + "\n", + "plt.title('Noisy Polynomial Model Estimation: LS vs Ridge Regression')\n", + "plt.xlabel('$x$')\n", + "plt.ylabel('$y$')\n", + "plt.legend()\n", + "plt.grid(True, linestyle=':', alpha=0.6)\n", + "\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e6081c8a-b187-4f1a-9544-ab5552789f6e", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.14.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/fall-2025/mat-210/assessment-00020/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/fall-2025/mat-210/assessment-00020/.ipynb_checkpoints/Untitled-checkpoint.ipynb new file mode 100644 index 0000000..2a070ce --- /dev/null +++ b/fall-2025/mat-210/assessment-00020/.ipynb_checkpoints/Untitled-checkpoint.ipynb @@ -0,0 +1,146 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "e8104954-e923-4bfc-b868-d0daafbaa9e6", + "metadata": {}, + "outputs": [ + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'numpy'", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mModuleNotFoundError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[1]\u001b[39m\u001b[32m, line 1\u001b[39m\n\u001b[32m----> \u001b[39m\u001b[32m1\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mnumpy\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mnp\u001b[39;00m\n\u001b[32m 2\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mpandas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mpd\u001b[39;00m\n\u001b[32m 3\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mmatplotlib\u001b[39;00m\u001b[34;01m.\u001b[39;00m\u001b[34;01mpyplot\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mplt\u001b[39;00m\n", + "\u001b[31mModuleNotFoundError\u001b[39m: No module named 'numpy'" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "# --- 1. Parameters and Data Generation ---\n", + "k = 11 # From Pattanaphol\n", + "N = 30\n", + "R = 1 + k/100 # 1.11\n", + "sigma = 0.05\n", + "np.random.seed(42) # for reproducibility\n", + "\n", + "\n", + "# Generate x values\n", + "x = np.linspace(0.1, R, N)\n", + "\n", + "\n", + "# True function: y_true = 5x^4 - 3x^3 + 2x^2 - x + 1\n", + "y_true_func = lambda x: 5*x**4 - 3*x**3 + 2*x**2 - x + 1\n", + "y_true = y_true_func(x)\n", + "noise = np.random.normal(0, sigma, N)\n", + "y_noisy = y_true + noise\n", + "\n", + "\n", + "# --- 2. Helper Functions ---\n", + "def vandermonde_matrix(x, degree):\n", + " \"\"\"Constructs the Vandermonde matrix A = [x^n, ..., x^1, 1]\"\"\"\n", + " return np.vander(x, degree + 1, increasing=False)\n", + "\n", + "\n", + "def estimate_coefficients(A, B, rho=0):\n", + " \"\"\"Calculates coefficients X* for LS (rho=0) or Ridge (rho>0).\"\"\"\n", + " # X* = (A^T A + rho*I)^-1 * A^T B\n", + " AT = A.T\n", + " ATA = AT @ A\n", + " I = np.identity(ATA.shape[0])\n", + " \n", + " # Calculate X* using the generalized solution\n", + " XTX_plus_rhoI_inv = np.linalg.inv(ATA + rho * I)\n", + " X_star = XTX_plus_rhoI_inv @ AT @ B\n", + " return X_star\n", + "\n", + "\n", + "def poly_val(x_plot, X_star):\n", + " \"\"\"Evaluates the polynomial on x_plot using coefficients X_star.\"\"\"\n", + " degree = len(X_star) - 1\n", + " A_plot = np.vander(x_plot, degree + 1, increasing=False)\n", + " return A_plot @ X_star\n", + "\n", + "\n", + "# --- 3. Coefficient Estimation (LS & RR) ---\n", + "B = y_noisy.reshape(-1, 1)\n", + "\n", + "\n", + "# Calculate all models for plotting\n", + "X_star1 = estimate_coefficients(vandermonde_matrix(x, 1), B, rho=0)\n", + "X_star7_ls = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0)\n", + "X_star7_rr2 = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0.1)\n", + "\n", + "\n", + "# --- 4. Plotting ---\n", + "x_plot = np.linspace(x.min(), x.max(), 500)\n", + "y_model1 = poly_val(x_plot, X_star1)\n", + "y_model7_ls = poly_val(x_plot, X_star7_ls)\n", + "y_model7_rr2 = poly_val(x_plot, X_star7_rr2)\n", + "y_true_plot = y_true_func(x_plot)\n", + "\n", + "\n", + "plt.figure(figsize=(12, 8))\n", + "\n", + "\n", + "# Raw Data (Scatter Plot)\n", + "plt.scatter(x, y_noisy, label='Original Noisy Raw Data $(x_i, y_i)$', color='k', marker='o', s=30)\n", + "plt.plot(x_plot, y_true_plot, label='True Underlying Polynomial $y_{true}$ (Degree 4)', color='gray', linestyle='--')\n", + "\n", + "\n", + "# Estimated Models (Line Plots)\n", + "plt.plot(x_plot, y_model1, label='1) Model $n=1$ (Least Squares)', color='r', linestyle='-', linewidth=2)\n", + "plt.plot(x_plot, y_model7_ls, label='3) Model $n=7$ (Least Squares, Overfit)', color='g', linestyle='-', linewidth=2)\n", + "plt.plot(x_plot, y_model7_rr2, label=r'4.2) Model $n=7$ (Ridge, $\\rho=0.1$, Stabilized)', color='b', linestyle='-', linewidth=2)\n", + "\n", + "\n", + "\n", + "\n", + "plt.title('Noisy Polynomial Model Estimation: LS vs Ridge Regression')\n", + "plt.xlabel('$x$')\n", + "plt.ylabel('$y$')\n", + "plt.legend()\n", + "plt.grid(True, linestyle=':', alpha=0.6)\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "94c872cc-d8c3-454b-9d62-42b03378e2d9", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.14.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/fall-2025/mat-210/assessment-00020/.ipynb_checkpoints/main-checkpoint.py b/fall-2025/mat-210/assessment-00020/.ipynb_checkpoints/main-checkpoint.py new file mode 100644 index 0000000..dbc1286 --- /dev/null +++ b/fall-2025/mat-210/assessment-00020/.ipynb_checkpoints/main-checkpoint.py @@ -0,0 +1,92 @@ +import numpy as np +import pandas as pd +import matplotlib.pyplot as plt + + +# --- 1. Parameters and Data Generation --- +k = 11 # From Pattanaphol +N = 30 +R = 1 + k/100 # 1.11 +sigma = 0.05 +np.random.seed(42) # for reproducibility + + +# Generate x values +x = np.linspace(0.1, R, N) + + +# True function: y_true = 5x^4 - 3x^3 + 2x^2 - x + 1 +y_true_func = lambda x: 5*x**4 - 3*x**3 + 2*x**2 - x + 1 +y_true = y_true_func(x) +noise = np.random.normal(0, sigma, N) +y_noisy = y_true + noise + + +# --- 2. Helper Functions --- +def vandermonde_matrix(x, degree): + """Constructs the Vandermonde matrix A = [x^n, ..., x^1, 1]""" + return np.vander(x, degree + 1, increasing=False) + + +def estimate_coefficients(A, B, rho=0): + """Calculates coefficients X* for LS (rho=0) or Ridge (rho>0).""" + # X* = (A^T A + rho*I)^-1 * A^T B + AT = A.T + ATA = AT @ A + I = np.identity(ATA.shape[0]) + + # Calculate X* using the generalized solution + XTX_plus_rhoI_inv = np.linalg.inv(ATA + rho * I) + X_star = XTX_plus_rhoI_inv @ AT @ B + return X_star + + +def poly_val(x_plot, X_star): + """Evaluates the polynomial on x_plot using coefficients X_star.""" + degree = len(X_star) - 1 + A_plot = np.vander(x_plot, degree + 1, increasing=False) + return A_plot @ X_star + + +# --- 3. Coefficient Estimation (LS & RR) --- +B = y_noisy.reshape(-1, 1) + + +# Calculate all models for plotting +X_star1 = estimate_coefficients(vandermonde_matrix(x, 1), B, rho=0) +X_star7_ls = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0) +X_star7_rr2 = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0.1) + + +# --- 4. Plotting --- +x_plot = np.linspace(x.min(), x.max(), 500) +y_model1 = poly_val(x_plot, X_star1) +y_model7_ls = poly_val(x_plot, X_star7_ls) +y_model7_rr2 = poly_val(x_plot, X_star7_rr2) +y_true_plot = y_true_func(x_plot) + + +plt.figure(figsize=(12, 8)) + + +# Raw Data (Scatter Plot) +plt.scatter(x, y_noisy, label='Original Noisy Raw Data $(x_i, y_i)$', color='k', marker='o', s=30) +plt.plot(x_plot, y_true_plot, label='True Underlying Polynomial $y_{true}$ (Degree 4)', color='gray', linestyle='--') + + +# Estimated Models (Line Plots) +plt.plot(x_plot, y_model1, label='1) Model $n=1$ (Least Squares)', color='r', linestyle='-', linewidth=2) +plt.plot(x_plot, y_model7_ls, label='3) Model $n=7$ (Least Squares, Overfit)', color='g', linestyle='-', linewidth=2) +plt.plot(x_plot, y_model7_rr2, label=r'4.2) Model $n=7$ (Ridge, $\rho=0.1$, Stabilized)', color='b', linestyle='-', linewidth=2) + + + + +plt.title('Noisy Polynomial Model Estimation: LS vs Ridge Regression') +plt.xlabel('$x$') +plt.ylabel('$y$') +plt.legend() +plt.grid(True, linestyle=':', alpha=0.6) + + +plt.show() diff --git a/fall-2025/mat-210/assessment-00020/MAT-210.ipynb b/fall-2025/mat-210/assessment-00020/MAT-210.ipynb new file mode 100644 index 0000000..0082938 --- /dev/null +++ b/fall-2025/mat-210/assessment-00020/MAT-210.ipynb @@ -0,0 +1,145 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "id": "e8104954-e923-4bfc-b868-d0daafbaa9e6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "# --- 1. Parameters and Data Generation ---\n", + "k = 11 # From Pattanaphol\n", + "N = 30\n", + "R = 1 + k/100 # 1.11\n", + "sigma = 0.05\n", + "np.random.seed(42) # for reproducibility\n", + "\n", + "\n", + "# Generate x values\n", + "x = np.linspace(0.1, R, N)\n", + "\n", + "\n", + "# True function: y_true = 5x^4 - 3x^3 + 2x^2 - x + 1\n", + "y_true_func = lambda x: 5*x**4 - 3*x**3 + 2*x**2 - x + 1\n", + "y_true = y_true_func(x)\n", + "noise = np.random.normal(0, sigma, N)\n", + "y_noisy = y_true + noise\n", + "\n", + "\n", + "# --- 2. Helper Functions ---\n", + "def vandermonde_matrix(x, degree):\n", + " \"\"\"Constructs the Vandermonde matrix A = [x^n, ..., x^1, 1]\"\"\"\n", + " return np.vander(x, degree + 1, increasing=False)\n", + "\n", + "\n", + "def estimate_coefficients(A, B, rho=0):\n", + " \"\"\"Calculates coefficients X* for LS (rho=0) or Ridge (rho>0).\"\"\"\n", + " # X* = (A^T A + rho*I)^-1 * A^T B\n", + " AT = A.T\n", + " ATA = AT @ A\n", + " I = np.identity(ATA.shape[0])\n", + " \n", + " # Calculate X* using the generalized solution\n", + " XTX_plus_rhoI_inv = np.linalg.inv(ATA + rho * I)\n", + " X_star = XTX_plus_rhoI_inv @ AT @ B\n", + " return X_star\n", + "\n", + "\n", + "def poly_val(x_plot, X_star):\n", + " \"\"\"Evaluates the polynomial on x_plot using coefficients X_star.\"\"\"\n", + " degree = len(X_star) - 1\n", + " A_plot = np.vander(x_plot, degree + 1, increasing=False)\n", + " return A_plot @ X_star\n", + "\n", + "\n", + "# --- 3. Coefficient Estimation (LS & RR) ---\n", + "B = y_noisy.reshape(-1, 1)\n", + "\n", + "\n", + "# Calculate all models for plotting\n", + "X_star1 = estimate_coefficients(vandermonde_matrix(x, 1), B, rho=0)\n", + "X_star7_ls = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0)\n", + "X_star7_rr2 = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0.1)\n", + "\n", + "\n", + "# --- 4. Plotting ---\n", + "x_plot = np.linspace(x.min(), x.max(), 500)\n", + "y_model1 = poly_val(x_plot, X_star1)\n", + "y_model7_ls = poly_val(x_plot, X_star7_ls)\n", + "y_model7_rr2 = poly_val(x_plot, X_star7_rr2)\n", + "y_true_plot = y_true_func(x_plot)\n", + "\n", + "\n", + "plt.figure(figsize=(12, 8))\n", + "\n", + "\n", + "# Raw Data (Scatter Plot)\n", + "plt.scatter(x, y_noisy, label='Original Noisy Raw Data $(x_i, y_i)$', color='k', marker='o', s=30)\n", + "plt.plot(x_plot, y_true_plot, label='True Underlying Polynomial $y_{true}$ (Degree 4)', color='gray', linestyle='--')\n", + "\n", + "\n", + "# Estimated Models (Line Plots)\n", + "plt.plot(x_plot, y_model1, label='1) Model $n=1$ (Least Squares)', color='r', linestyle='-', linewidth=2)\n", + "plt.plot(x_plot, y_model7_ls, label='3) Model $n=7$ (Least Squares, Overfit)', color='g', linestyle='-', linewidth=2)\n", + "plt.plot(x_plot, y_model7_rr2, label=r'4.2) Model $n=7$ (Ridge, $\\rho=0.1$, Stabilized)', color='b', linestyle='-', linewidth=2)\n", + "\n", + "\n", + "\n", + "\n", + "plt.title('Noisy Polynomial Model Estimation: LS vs Ridge Regression')\n", + "plt.xlabel('$x$')\n", + "plt.ylabel('$y$')\n", + "plt.legend()\n", + "plt.grid(True, linestyle=':', alpha=0.6)\n", + "\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e6081c8a-b187-4f1a-9544-ab5552789f6e", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.14.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/fall-2025/mat-210/assessment-00020/Untitled.ipynb b/fall-2025/mat-210/assessment-00020/Untitled.ipynb new file mode 100644 index 0000000..2a070ce --- /dev/null +++ b/fall-2025/mat-210/assessment-00020/Untitled.ipynb @@ -0,0 +1,146 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "e8104954-e923-4bfc-b868-d0daafbaa9e6", + "metadata": {}, + "outputs": [ + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'numpy'", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mModuleNotFoundError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[1]\u001b[39m\u001b[32m, line 1\u001b[39m\n\u001b[32m----> \u001b[39m\u001b[32m1\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mnumpy\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mnp\u001b[39;00m\n\u001b[32m 2\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mpandas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mpd\u001b[39;00m\n\u001b[32m 3\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mmatplotlib\u001b[39;00m\u001b[34;01m.\u001b[39;00m\u001b[34;01mpyplot\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mplt\u001b[39;00m\n", + "\u001b[31mModuleNotFoundError\u001b[39m: No module named 'numpy'" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "# --- 1. Parameters and Data Generation ---\n", + "k = 11 # From Pattanaphol\n", + "N = 30\n", + "R = 1 + k/100 # 1.11\n", + "sigma = 0.05\n", + "np.random.seed(42) # for reproducibility\n", + "\n", + "\n", + "# Generate x values\n", + "x = np.linspace(0.1, R, N)\n", + "\n", + "\n", + "# True function: y_true = 5x^4 - 3x^3 + 2x^2 - x + 1\n", + "y_true_func = lambda x: 5*x**4 - 3*x**3 + 2*x**2 - x + 1\n", + "y_true = y_true_func(x)\n", + "noise = np.random.normal(0, sigma, N)\n", + "y_noisy = y_true + noise\n", + "\n", + "\n", + "# --- 2. Helper Functions ---\n", + "def vandermonde_matrix(x, degree):\n", + " \"\"\"Constructs the Vandermonde matrix A = [x^n, ..., x^1, 1]\"\"\"\n", + " return np.vander(x, degree + 1, increasing=False)\n", + "\n", + "\n", + "def estimate_coefficients(A, B, rho=0):\n", + " \"\"\"Calculates coefficients X* for LS (rho=0) or Ridge (rho>0).\"\"\"\n", + " # X* = (A^T A + rho*I)^-1 * A^T B\n", + " AT = A.T\n", + " ATA = AT @ A\n", + " I = np.identity(ATA.shape[0])\n", + " \n", + " # Calculate X* using the generalized solution\n", + " XTX_plus_rhoI_inv = np.linalg.inv(ATA + rho * I)\n", + " X_star = XTX_plus_rhoI_inv @ AT @ B\n", + " return X_star\n", + "\n", + "\n", + "def poly_val(x_plot, X_star):\n", + " \"\"\"Evaluates the polynomial on x_plot using coefficients X_star.\"\"\"\n", + " degree = len(X_star) - 1\n", + " A_plot = np.vander(x_plot, degree + 1, increasing=False)\n", + " return A_plot @ X_star\n", + "\n", + "\n", + "# --- 3. Coefficient Estimation (LS & RR) ---\n", + "B = y_noisy.reshape(-1, 1)\n", + "\n", + "\n", + "# Calculate all models for plotting\n", + "X_star1 = estimate_coefficients(vandermonde_matrix(x, 1), B, rho=0)\n", + "X_star7_ls = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0)\n", + "X_star7_rr2 = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0.1)\n", + "\n", + "\n", + "# --- 4. Plotting ---\n", + "x_plot = np.linspace(x.min(), x.max(), 500)\n", + "y_model1 = poly_val(x_plot, X_star1)\n", + "y_model7_ls = poly_val(x_plot, X_star7_ls)\n", + "y_model7_rr2 = poly_val(x_plot, X_star7_rr2)\n", + "y_true_plot = y_true_func(x_plot)\n", + "\n", + "\n", + "plt.figure(figsize=(12, 8))\n", + "\n", + "\n", + "# Raw Data (Scatter Plot)\n", + "plt.scatter(x, y_noisy, label='Original Noisy Raw Data $(x_i, y_i)$', color='k', marker='o', s=30)\n", + "plt.plot(x_plot, y_true_plot, label='True Underlying Polynomial $y_{true}$ (Degree 4)', color='gray', linestyle='--')\n", + "\n", + "\n", + "# Estimated Models (Line Plots)\n", + "plt.plot(x_plot, y_model1, label='1) Model $n=1$ (Least Squares)', color='r', linestyle='-', linewidth=2)\n", + "plt.plot(x_plot, y_model7_ls, label='3) Model $n=7$ (Least Squares, Overfit)', color='g', linestyle='-', linewidth=2)\n", + "plt.plot(x_plot, y_model7_rr2, label=r'4.2) Model $n=7$ (Ridge, $\\rho=0.1$, Stabilized)', color='b', linestyle='-', linewidth=2)\n", + "\n", + "\n", + "\n", + "\n", + "plt.title('Noisy Polynomial Model Estimation: LS vs Ridge Regression')\n", + "plt.xlabel('$x$')\n", + "plt.ylabel('$y$')\n", + "plt.legend()\n", + "plt.grid(True, linestyle=':', alpha=0.6)\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "94c872cc-d8c3-454b-9d62-42b03378e2d9", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.14.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/fall-2025/mat-210/assessment-00020/main.py b/fall-2025/mat-210/assessment-00020/main.py new file mode 100644 index 0000000..dbc1286 --- /dev/null +++ b/fall-2025/mat-210/assessment-00020/main.py @@ -0,0 +1,92 @@ +import numpy as np +import pandas as pd +import matplotlib.pyplot as plt + + +# --- 1. Parameters and Data Generation --- +k = 11 # From Pattanaphol +N = 30 +R = 1 + k/100 # 1.11 +sigma = 0.05 +np.random.seed(42) # for reproducibility + + +# Generate x values +x = np.linspace(0.1, R, N) + + +# True function: y_true = 5x^4 - 3x^3 + 2x^2 - x + 1 +y_true_func = lambda x: 5*x**4 - 3*x**3 + 2*x**2 - x + 1 +y_true = y_true_func(x) +noise = np.random.normal(0, sigma, N) +y_noisy = y_true + noise + + +# --- 2. Helper Functions --- +def vandermonde_matrix(x, degree): + """Constructs the Vandermonde matrix A = [x^n, ..., x^1, 1]""" + return np.vander(x, degree + 1, increasing=False) + + +def estimate_coefficients(A, B, rho=0): + """Calculates coefficients X* for LS (rho=0) or Ridge (rho>0).""" + # X* = (A^T A + rho*I)^-1 * A^T B + AT = A.T + ATA = AT @ A + I = np.identity(ATA.shape[0]) + + # Calculate X* using the generalized solution + XTX_plus_rhoI_inv = np.linalg.inv(ATA + rho * I) + X_star = XTX_plus_rhoI_inv @ AT @ B + return X_star + + +def poly_val(x_plot, X_star): + """Evaluates the polynomial on x_plot using coefficients X_star.""" + degree = len(X_star) - 1 + A_plot = np.vander(x_plot, degree + 1, increasing=False) + return A_plot @ X_star + + +# --- 3. Coefficient Estimation (LS & RR) --- +B = y_noisy.reshape(-1, 1) + + +# Calculate all models for plotting +X_star1 = estimate_coefficients(vandermonde_matrix(x, 1), B, rho=0) +X_star7_ls = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0) +X_star7_rr2 = estimate_coefficients(vandermonde_matrix(x, 7), B, rho=0.1) + + +# --- 4. Plotting --- +x_plot = np.linspace(x.min(), x.max(), 500) +y_model1 = poly_val(x_plot, X_star1) +y_model7_ls = poly_val(x_plot, X_star7_ls) +y_model7_rr2 = poly_val(x_plot, X_star7_rr2) +y_true_plot = y_true_func(x_plot) + + +plt.figure(figsize=(12, 8)) + + +# Raw Data (Scatter Plot) +plt.scatter(x, y_noisy, label='Original Noisy Raw Data $(x_i, y_i)$', color='k', marker='o', s=30) +plt.plot(x_plot, y_true_plot, label='True Underlying Polynomial $y_{true}$ (Degree 4)', color='gray', linestyle='--') + + +# Estimated Models (Line Plots) +plt.plot(x_plot, y_model1, label='1) Model $n=1$ (Least Squares)', color='r', linestyle='-', linewidth=2) +plt.plot(x_plot, y_model7_ls, label='3) Model $n=7$ (Least Squares, Overfit)', color='g', linestyle='-', linewidth=2) +plt.plot(x_plot, y_model7_rr2, label=r'4.2) Model $n=7$ (Ridge, $\rho=0.1$, Stabilized)', color='b', linestyle='-', linewidth=2) + + + + +plt.title('Noisy Polynomial Model Estimation: LS vs Ridge Regression') +plt.xlabel('$x$') +plt.ylabel('$y$') +plt.legend() +plt.grid(True, linestyle=':', alpha=0.6) + + +plt.show() diff --git a/fall-2025/sci-121/assessments/AI Drug Discovery - Thanawin Pattanaphol.odt b/fall-2025/sci-121/assessments/AI Drug Discovery - Thanawin Pattanaphol.odt new file mode 100644 index 0000000000000000000000000000000000000000..6754c7a97728e6528d912f5ef57f81a264d182a9 GIT binary patch literal 47279 zcmbrlWo#xp(>55KFf%6;X3m5r%*@Qp%*;#^W@hFIGcz;aVP?*qJ?HuKKHAl4-#^<@ z$tAa4?k-i^*Hv~aNP|P5gMdJTfNUFkYwL}$z*B;Nfcz`}RDsx9+M2p}I+z+dIM`Sk z8@gE9+cCP?nK0NJI$Jt3*gKfonb;e<+M3$AFu0g{xG4NTjQ!L9zZdd9ny|f{nWed_ z(|^o3voQXj*3i(<{~7wfP5)6~{}E>wPa9Kb1`k`CEBsBT&5@^W{XoMJUvL;?bkW9C z795_8juu_{LtgXLzMw7GAtOvU#Yg4u0{=C}vvs`sHq=C&VcEkevg2Im=dIb?ZsNM$ zUVgF}0yD0Hv*n>YFEpq!l30n3&dksIH%fQ*H{iQ`oh5z}vi(n7OsH(9UngY{Cy2;p zZxmAx0s6Af+2&d6mma)w@%_n-+m{cstf0K_vRz>_g*bQDlgzEOxmW!rnS72wFl zw&LM=liC)G8BHJ>S3uUvdJFjM7A;ymg9hB|6Yb#n90fLPHTTl_B`+lA5G!Dha7Smn z>soT8F8b!SF}n(TjUiKR7LPx2jy;V*k5;?52rX>-iNjf(S%k#})4c7->}e#11Sf`2 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+Assignment Summary + +For this assessment, you must create a high-level architectural design for a distributed, web-based application. You do not need to do any programming to complete this assessment. + + + +Detailed Instructions + +You have been asked to design a web application called FitNet which will be accessible via the URL http://www.fit-net.comLinks to an external site.. This application is intended for people interested in sports and fitness. It provides useful information about locations and businesses related to fitness, including (though not necessarily limited to): + + + +Public parks; +Public swimming pools; +Private sports facilities – tennis courts, football courts, basketball courts, swimming pools, etc. +Gyms and fitness clubs; +Physical therapy and sports medicine clinics; +Business that sell fitness equipment. + + +There are three categories of users, who have different available actions: + +General public (unregistered); +Registered users; +Facility or business owners (registered and verified). + + +The application will also include an administrator dashboard for user and content management. + +The application must provide the following capabilities: + +Register (unregistered user); +Login (registered user); +Search for facilities by type and/or location (any user); +See facility locations on a map (any user); +View details (opening hours, restrictions, capacity, contact info, etc.) for a particular facility (any user); +See reviews for a facility (any user); +Get directions from a specified location to a specific facility (any user); +Review a facility (registered users only); +Add a facility (facility owners only); +Delete a facility (admin only); +Delete a user (admin only); +Verify a commercial user (admin only); +Modify details for a facility (admin only). + + +To complete this assessment, you must create an architecture design document that has the following content: + + + +Title page with your name, nickname, date, competency; + + Component diagram showing the important modules in the system and their connections/interactions. Note that your design can use external modules such as geocoding modules (see, for instance, https://positionstack.com/documentationLinks to an external site.) or web mapping modules; be sure to label them correctly in the diagram. + + Component explanation table, similar to the table created in the first AIC-103 lab. This should describe the main capabilities of each module, plus list the other modules whose services a module will use. + +REST API design. Create a table of all the API endpoints your system will provide. For each endpoint, specify: + +The HTTP method used (GET, POST, etc.); +The arguments or other data required as input (if any); +The information returned (if any); + + +You do not need to express this in JSON although you can if you want, but this must be fully detailed and clear. Be sure your API is complete; it should contain an endpoint for each of the required capabilities listed above. + + + +Example: + +table.JPG (in the folder) + +Submit your assessment to Canvas, as a single A4 PDF document. diff --git a/fall-2025/sen-103/Assessments/00030/table.jpg b/fall-2025/sen-103/Assessments/00030/table.jpg new file mode 100644 index 0000000000000000000000000000000000000000..3ef675951ce57eef2f21b18e19117acef82e5d0c GIT binary patch literal 39312 zcmeFZ1z23mmMFaO;DO+-A-KCna0mes+$GR-8ka_b26qS$AV9F-uE7Z&LLhkX#+`25 z0)OY+nL9J*&im)Qne)GQzyCWMie0^Xv8&dqRZFVYs@v(?CE%`#g0cdDf`S4-kw3sK z40TQ(3VI0u>goUo004IYbQDPd6}d%Fa({_8O> zlZ=$J)k_JjCkp=pf&3)R^e=t!@bKXA5ae-iw&CR$7Z>N{6W|pP;6_4lyLj5WnnStm zU6}vn1y8J9ES*7)t{?|{hF>o0g?+viy7Nj&9DcerwyxlGpl`HN@K9)dfineqJWtzjgZ0 zY71yk{^j95=P>&v$eUa^%G=~`8A~6e1hD3qR;F7SeO`?cd)ST z;1J;=X^cZkco&a|f|QDqf|P=snvRW;nwFK8oPvpmiS+?HCl@Cb1Fs-2hX5M~C&#as zpkUp(gM*Djf{RPSK|?{q@xOiDb^t_ofO?E9G!!NPl?Vlm2<5gLphs#`45XI+rKtbq 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will break up your single-source program matrilineal.c into three source modules which have lower coupling and better cohesion. + + + +Instructions + +Start with your program from SEN-107 (Data Structures) Lab 3, the mother-daughter tree. + +If you have not yet done this lab, you can start from scratch. The instructions for SEN-107 Lab 3 explain in detail what this program should do. + +Create a new program that includes three C source files and two header files: + + + +matrilineal.c – This will hold the main function and the top level menu only. It will call functions in the other source files (probably just operations.c). +tree.c – This will hold the tree data structure, with functions for manipulating that tree. For instance, you might have a function for adding a node to the tree, a function for finding a node in the tree, and so on. +tree.h – This header file should include declarations for any functions in tree.c that will be called from other modules. If you need to define any structure types that will be shared with other modules, put those definitions in this header file as well. If you have “private” functions in tree.c which are not used in any other module, do not include them in tree.h. +operations.c – This file will hold the functions that get input data for each operation, call the tree functions, and print results. This module should #include tree.h. +operations.h – This header file should include definitions of any functions that will be called by matrilineal.c. It should be #included in matrilineal.c. + + +Write and test the code for each of these modules, then put them together. The result should be the same as for the original, single-source version of SEN-107 Lab 3. + + + +If you prefer, you may do this lab assignment using Python. You should create three Python scripts: matrilineal.py, operations.py and tree.py. + + + +To submit this lab exercise, create and upload a Zip file called Lab2.zip that contains all your source files (.c and .h, or .py). + diff --git a/fall-2025/sen-103/Labs/Lab3/Instructions.txt b/fall-2025/sen-103/Labs/Lab3/Instructions.txt new file mode 100644 index 0000000..dc05314 --- /dev/null +++ b/fall-2025/sen-103/Labs/Lab3/Instructions.txt @@ -0,0 +1,119 @@ +SEN-103 Programming Multi-Module Applications + +Lab 3 Practice Assignment + +Using External Libraries + + + + + +Overview + +In this lab exercise, you create a simple program that uses the capabilities in libgd, the GD graphics library. + + + +Instructions + +Preparation + +Start by downloading and installing the GD library. + +You will find the full source and information here: + + + +https://github.com/libgd/libgd/releasesLinks to an external site. + + + +If you are using Windows, you should download the source Zip file. (It may be easier if you do this lab using Linux.) + + + +You will need to build (compile) the libraries on your own computer. To do this, read the README file and other documentation that comes in the release package. This is a big part of the exercise – doing the necessary reading and detective work to get GD working on your computer. + + + +I strongly recommend that you do this assignment in C. There is a Python wrapper for GD. You can use this if you want, but I warn you, there is almost no documentation. + + + +If you want to use Python for your own program, you must download the Python wrapper code: + + + +https://github.com/NOAA-ORR-ERD/py_gdLinks to an external site. + + + +Note that you will still need the compiled C version of the library. However, it looks like the conda Python installer will handle a lot of this mess for you. See the information in the py_gd README file. + + + +https://github.com/NOAA-ORR-ERD/py_gd/blob/master/README.mdLinks to an external site. + + + +Assignment Instructions + + + +For the lab assignment, write a program called gdSample.c or gd_sample.py that uses the GD library to do the following: + + + +Create an empty, in-memory image that is 1000 pixels wide by 700 pixels wide. +Draw a filled orange circle, in the upper left part of the image. +Draw an unfilled blue rectangle with line width of 10 pixels, in the upper right part of the image. +Draw an unfilled red convex polygon with 7 vertices and a line width of 10 pixels, in the lower left part of the image. +Draw a filled purple square, in the lower right part of the image. +Draw a string with your full name in the middle of the image. +Write out the image as an JPG file. + + + + +To do this assignment, you will need to use the GD documentation for reference. The top level page for the online documentation is here: + + + +https://libgd.github.io/manuals/2.3.3/files/preamble-txt.htmlLinks to an external site. + + + +There is a set of links in the sidebar which take you to documentation for different topics. + + + +I found the page below (accessible via Index/Functions) useful. It lists all the functions in GD in alphabetical order. If you click on a function name, you will see the arguments – but no real explanation of what the function does. Fortunately, the functions are named in a systematic and pretty clear way. + + + +https://libgd.github.io/manuals/2.3.3/index/Functions.htmlLinks to an external site. + + + +The py_gd documentation seems to be pretty sparse or non-existent. There is one example here: + + + +https://github.com/NOAA-ORR-ERD/py_gd/blob/master/docs/examples/mandelbrot.pyLinks to an external site. + + + +You can also get some clues as to how to use the Python binding from the test scripts: + + + +https://github.com/NOAA-ORR-ERD/py_gd/tree/master/py_gd/testLinks to an external site. + + + +Note that even if you use Python, you will probably need to look at the functions in the C version to see what information you need to supply. + + + +Write and test your gdSample.c or gd_sample.py program until it works correctly. Then upload your C or Python source file to Canvas + a screenshot showing your program work. + diff --git a/fall-2025/sen-103/Labs/Lab4/Instructions.txt b/fall-2025/sen-103/Labs/Lab4/Instructions.txt new file mode 100644 index 0000000..d7ddb49 --- /dev/null +++ b/fall-2025/sen-103/Labs/Lab4/Instructions.txt @@ -0,0 +1,246 @@ +SEN-103 Programming Multi-Module Applications + +Lab 4 Practice Assignment + +Creating a System with Multiple Executables + + + + + +Overview + +In this lab exercise, you will create a taxi dispatching system, which will have two cooperating executables, one to make a request for a taxi and one to dispatch taxis (associate a request with a taxi, and track its progress). + + + +Instructions + +For this exercise you will create two programs, taxiRequest and taxiDispatcher. You may do this exercise in Python or C. It might be easier in C since the overall structure of the program is quite similar to the auction demo. If you do the lab in C, you may use my filesearch.c source module to search for and return a list of files that match a pattern. + + + +The taxiRequest program will loop, gathering information about taxi reservation requests and writing this information to a file with a specific name pattern (e.g. request_nnnnn.txt) in a well-defined format. It might have a user interface like the following: + + + +./taxiRequest + +Enter your phone number : 0987736262 + +Enter your destination: Siam Square + +Enter your current location: CMKL University + +Creating taxi reservation request… + + + +Enter your phone number : 0821219999 + +Enter your destination: Don Muang Airport + +Enter your current location: Victory Monument + +Creating taxi reservation request… + + + +Enter your phone number : + + + + + +A request file might look like this: + + + +0987736262 + +Siam Square + +CMKL University + + + +The taxiDispatcher program is more complicated. It will loop forever, simulating the passage of time using the sleep() function. Assume that each second of computer time is equivalent to one minute of real world time. + + + +Like the auctionControl program, the taxiDispatcher should sleep for ten seconds. Then it should wake up and process requests and on-going trips, as described below. + + + +The dispatcher has two jobs: + + + +Process and enqueue requests: Look for files that indicate taxi requests, created by taxiRequest. For each file that is found, read the file and create a structure representing the request, then delete the file so it will not be processed again. The structure should include the phone number, destination and current location from the request. It should also include an integer tripDuration field which will hold the number of minutes the trip will take. The program should set this field by generating a random number between 10 and 60. After creating the request structure, the program should add it to the end of a linked list that represents taxis that are en route to their destinations. + + + +Update trip durations and remove taxis that have arrived: Start at the beginning of the list of ongoing trips. For each ongoing trip, subtract 10 (10 minutes) from the tripDuration. If the new tripDuration is less than or equal to zero, announce that the taxi has arrived, then remove the item from the linked list. + + + +Here is an example of what the output from taxiDispatcher might look like: + + + +./taxiDispatcher + +Starting dispatcher + + + +Checking for requests + + --- No requests found + + + +Checking for arrivals + + --- No taxis have arrived at their destination + + + +Waiting ten minutes + + + +Checking for requests + + --- Assigned taxi to customer 0987736262 going from CMKL University to Siam Square + + Estimated trip duration 55 minutes + + + +Checking for arrivals + + --- No taxis have arrived at their destination + + + +Waiting 10 minutes + + + +Checking for requests + + --- Assigned taxi to customer 0821219999 going from Victory Monument to Don Muang Airport + + Estimated trip duration 20 minutes + + + + --- Assigned taxi to customer 0971212222 going from Mega Bangna to Rangsit + + Estimated trip duration 10 minutes. + + + +Checking for arrivals + + --- No taxis have arrived at their destination + + + +Waiting ten minutes + + + +Checking for requests + + --- No requests found + + + +Checking for arrivals + + --- No taxis have arrived at their destination + + + +Waiting ten minutes + + + +Checking for requests + + --- No requests found + + + +Checking for arrivals + + --- Customer 0971212222 going from Mega Bangna to Rangsit has arrived. + + + + + + + +The taxi dispatcher program will loop forever, until you hit Ctrl-C to exit. + + + +Additional Challenge + + + +Like the auction system, the communication between executables in this system goes only in one direction, from the request application to the dispatching application. In a real taxi dispatching system, the dispatcher module would send information back to the request module when a taxi has been assigned. + + + +Add this capability to your programs. Specifically: + + + +Modify the dispatcher so it assigns a four character alphanumeric taxi registration code to each queued request. You can generate registration codes randomly, or create an array of strings for registration codes and use a counter to choose the next code in the array. (When you get to the end of the array, use the modulus operator on the counter to start at the beginning again.) +Inside the dispatcher, add the registration number to the structure in the trip queue. +In the dispatcher, when a taxi request is accepted, after creating the structure and adding it to the queue, write a file with a known filename pattern and structure, that holds the customer phone number, taxi registration number and estimated duration. +In the request program, sleep for five seconds before asking for the next request. +In the request program, before asking for the next request, have the request program check for any reply files. If any are found, read them, print the information, then delete them. + + +For example: + + + +./taxiRequest + +Enter your phone number : 0987736262 + +Enter your destination: Siam Square + +Enter your current location: CMKL University + +Creating taxi reservation request… + + + +Enter your phone number : 0821219999 + +Enter your destination: Don Muang Airport + +Enter your current location: Victory Monument + +Creating taxi reservation request… + + + +–-- Dispatcher message: Taxi AB223 assigned to customer 0987736262 + + Estimated trip duration 55 minutes. + + + +Enter your phone number : + +--------------------------------------------------------------------------------------- + +Submit a zip file containing the code files (.c or .py) and screenshots of the code operation (showing that it works) diff --git a/fall-2025/sen-103/Labs/Lab5/Instructions.txt b/fall-2025/sen-103/Labs/Lab5/Instructions.txt new file mode 100644 index 0000000..6ec85d9 --- /dev/null +++ b/fall-2025/sen-103/Labs/Lab5/Instructions.txt @@ -0,0 +1,33 @@ +SEN-103 Programming Multi-Module Applications + +Lab 5 Practice Assignment + +Using REST APIs with Postman + + + +Overview + +Understanding how to construct and to use a set of REST API endpoints is a critical skill for building modern distributed applications. This lab exercise gives you practice executing HTTP requests using the Postman utility, a widely-used tool for exploring, building and debugging REST APIs. + + + +Instructions + +1. Go to https://www.postman.comLinks to an external site. and sign up for a free account if you do not already have one. Go to My Workspace. Click on New, then choose HTTP. Postman gives you a form for setting up your HTTP request. + +2. Open a Word/LibreOffice/GoogleDocs document that you can use to save and submit the results of your work. Write your nickname and the date at the top. + +3. Go to https://open-meteo.com/en/docsLinks to an external site. This site provides a free REST API for getting weather data about a location or set of locations. This API provides only a single endpoint, a GET request with the base URL https://api.open-meteo.com/v1/forecast However, you can specify a very large number of different parameters, including the location (or a set of locations), the weather variables in which you are interested, the reporting interval, etc. The possibilities are all documented on the site. + +4. Create a request in Postman to access the Open-Meteo API and return the temperature and the relative humidity for the area near CMKL, hourly for the next seven days. Use the latitude/longitude coordinates 13.7243333, 100.7701839 and the time zone Asia/Bangkok. + +5. Execute your request in Postman. When you get it to execute successfully (this may take a few tries), copy and paste the full request URL into your document. Then copy and paste the JSON response which Postman displays. Do you understand the contents of this response? + +6. Modify your request to ask for the temperature, the cloud cover and rainfall in Boston (latitude 42.364506, longitude 71.038887) for the date range 2024-02-08 through 2024-02-14. When you get your request to execute successfully, copy and paste both the full request and the response into your document. + +7. Next we will use https://timeapi.io to create a POST request that will convert a time from one timezone to another. Go to https://timeapi.io/swagger/index.htmlLinks to an external site. Use the documentation to figure out how to create a request using the /api/Conversion/ConvertTimeZone endpoint. Note that for a POST request, you must provide the arguments to the API using a Body, which is a snippet of data in JSON format. You can find examples in the timeapi.io documentation. Convert the current time in Bangkok to the equivalent time in Boston. Then convert the current time in Bangkok to the the equivalent time in London. + +8. Copy and paste the full request, the body, and the response into your document, for each of these requests. + +9. Upload your document in PDF format. diff --git a/fall-2025/sen-103/Labs/Lab6/Instructions.txt b/fall-2025/sen-103/Labs/Lab6/Instructions.txt new file mode 100644 index 0000000..8a80d1c --- /dev/null +++ b/fall-2025/sen-103/Labs/Lab6/Instructions.txt @@ -0,0 +1,71 @@ +SEN-103 Programming Multi-Module Applications + +Lab 6 Practice Assignment + +Calling REST APIs from HTML using JavaScript + + + +Overview + + In this assignment, you will adapt the demonstration examples to call the OpenMeteo API and display the results. + + + +Instructions + +Download the demonstration HTML files for this week (Week7Demos.zip Download Week7Demos.zip). Unzip. Copy Example4.html to a new file called Lab6.html. Edit the comment at the top to indicate that this is a submission for SEN-103 Lab 6, and to include your nickname as the author. + + +Create a button that says “CMKL Forecast”. Then create a JavaScript function that will call the https://api.open-meteo.com/v1/forecast REST API endpoint to request seven days of daily maximum and minimum temperatures for the area around CMKL. (See Lab 5 instructions for more details.) When the API call returns (if the result is successful), display the result in a table as follows: + + + CMKL 7 Day Forecast + +Date Max Temp (Celcius) Min Temp (Celcius) + +2024-04-08 37.7 28.4 + +2024-04-09 37.4 27.4 + +2024-04-10 36.7 26.3 + +2024-04-11 38.4 26.7 + +2024-04-12 36.3 28.1 + +2024-04-13 36.3 28.4 + +2024-04-14 37.1 28.5 + + + +Note that HTML has a set of tags for creating tables: ...
, ... and .... + + + +Once you have this working, expand your example to include a drop-down list of locations. You can use the following location list. You should not show the lat/long in the drop-down list. You will need to make corresponding arrays of coordinates and time zones. + + + Boston 42.364506, 71.038887 America/New_York + + Tokyo 35.652832, 139.839478 Asia/Tokyo + + Hobart (Tasmania) -42.882137, 147.327194 Australia/Hobart + + Los Angeles 34.052235, -118.243683 America/Los_Angeles + + Mexico City 19.432608, -99.133209 America/Mexico_City + + Prague 50.075539, 14.437800 Europe/Prague + + Novobirsk (Russia) 55.008354, 82.935730 Asia/Novobirsk + + + +Change your button to say “7 Day Forecast”. When the user clicks on this button, find whatever location has been selected in the drop down list and use that information for your forecast API call. Display the results in the same format. + + + + +Upload your modified HTML file to Canvas. diff --git a/fall-2025/sys-207/assessments/00030 and 00040/.~lock.Link Layer Techniques - Thanawin Pattanaphol.odt# b/fall-2025/sys-207/assessments/00030 and 00040/.~lock.Link Layer Techniques - Thanawin Pattanaphol.odt# deleted file mode 100644 index 3de4011..0000000 --- a/fall-2025/sys-207/assessments/00030 and 00040/.~lock.Link Layer Techniques - Thanawin Pattanaphol.odt# +++ /dev/null @@ -1 +0,0 @@ -,winsdominoes,aurora,24.11.2025 22:16,file:///var/mnt/wd-passport/Optiplex/home/winsdominoes/.var/app/org.libreoffice.LibreOffice/config/libreoffice/4; \ No newline at end of file diff --git a/fall-2025/sys-207/assessments/00050 and 00060/Network-Layer Report - Thanawin Pattanaphol.odt b/fall-2025/sys-207/assessments/00050 and 00060/Network-Layer Report - Thanawin Pattanaphol.odt new file mode 100644 index 0000000000000000000000000000000000000000..41828c50c92580ba6187ff1de45f8979b028e9f1 GIT 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