calculus-with-coding-through-mathematics-i.ipynb

{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"name":"python","version":"3.10.10","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"markdown","source":"# FUNCTIONS I","metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19"}},{"cell_type":"markdown","source":"- A function $f$ is a rule that assigns to each element x in a set **A** exactly one element, called $f(x)$, in a set **B**.\n\n- The set **A** is called the _domain of the function_. The range of $f$ is the set of all possible values of $f(x)$ as x varies throughout the domain.\n\n- The domain of a function denotes the set of all possible inputs that the function takes in, while the range specifies the set of all possible outputs.\n\n- The symbol that represents an arbitrary number in the domain of a function $f$ is called an _independent variable_. The symbol that represents a number in the range of $f$ is called a _dependent variable_:\n\nSo if we write $y = f(x)$, then **x** is the _independent variable_ and **y** is the _dependent variable_.\n\n- If **x** is in the domain of the function $f$, then when **x** enters the machine, it is accepted as an input and the machine produces an output $f(x)$ according to the rule of the function.","metadata":{}},{"cell_type":"markdown","source":"# Libraries","metadata":{}},{"cell_type":"code","source":"import numpy as np\nimport matplotlib.pyplot as plt\nfrom warnings import filterwarnings","metadata":{"execution":{"iopub.status.busy":"2023-05-04T08:08:44.476810Z","iopub.execute_input":"2023-05-04T08:08:44.477212Z","iopub.status.idle":"2023-05-04T08:08:44.482818Z","shell.execute_reply.started":"2023-05-04T08:08:44.477164Z","shell.execute_reply":"2023-05-04T08:08:44.481562Z"},"trusted":true},"execution_count":115,"outputs":[]},{"cell_type":"code","source":"filterwarnings(\"ignore\",category=UserWarning)","metadata":{"execution":{"iopub.status.busy":"2023-05-04T08:08:58.488252Z","iopub.execute_input":"2023-05-04T08:08:58.488619Z","iopub.status.idle":"2023-05-04T08:08:58.493843Z","shell.execute_reply.started":"2023-05-04T08:08:58.488589Z","shell.execute_reply":"2023-05-04T08:08:58.492642Z"},"trusted":true},"execution_count":116,"outputs":[]},{"cell_type":"code","source":"plt.style.use(\"dark_background\")\nplt.rcParams[\"figure.autolayout\"] = True","metadata":{"execution":{"iopub.status.busy":"2023-05-04T07:57:52.736293Z","iopub.execute_input":"2023-05-04T07:57:52.736726Z","iopub.status.idle":"2023-05-04T07:57:52.743234Z","shell.execute_reply.started":"2023-05-04T07:57:52.736691Z","shell.execute_reply":"2023-05-04T07:57:52.742382Z"},"trusted":true},"execution_count":78,"outputs":[]},{"cell_type":"code","source":"class RESULTS:\n    pass","metadata":{"execution":{"iopub.status.busy":"2023-05-04T07:08:46.209811Z","iopub.execute_input":"2023-05-04T07:08:46.210209Z","iopub.status.idle":"2023-05-04T07:08:46.214746Z","shell.execute_reply.started":"2023-05-04T07:08:46.210163Z","shell.execute_reply":"2023-05-04T07:08:46.213699Z"},"trusted":true},"execution_count":3,"outputs":[]},{"cell_type":"code","source":"def PLOT_FUNCTION(x,y,lineon:bool=False)->RESULTS:\n    fig = plt.figure(figsize=(15,8))\n    ax = fig.add_subplot(1,1,1)\n    ax.spines['left'].set_position('zero')\n    ax.spines['bottom'].set_position('zero')\n    #ax.spines['right'].set_position('zero')\n    #ax.spines['top'].set_position('zero')\n    ax.spines['right'].set_color('white')\n    ax.spines['top'].set_color('white')\n    plt.title(\"Plot of Function\")\n    if lineon:\n        plt.axvline(x=0.3,\n               color=\"r\",\n               label='axvline - full height')\n        plt.plot(x,y)\n        plt.tight_layout()\n        plt.show()\n    else:\n        plt.plot(x,y)\n        plt.tight_layout()\n        plt.show()","metadata":{"execution":{"iopub.status.busy":"2023-05-04T08:09:48.056047Z","iopub.execute_input":"2023-05-04T08:09:48.057120Z","iopub.status.idle":"2023-05-04T08:09:48.064000Z","shell.execute_reply.started":"2023-05-04T08:09:48.057079Z","shell.execute_reply":"2023-05-04T08:09:48.062899Z"},"trusted":true},"execution_count":121,"outputs":[]},{"cell_type":"code","source":"def PLOT_CIRCLE(x_point:int or float,\n                y_point:int or float,\n                r:int or float,\n                lineon:bool=False)->RESULTS:\n    fig = plt.figure(figsize=(15,8))\n    ax = fig.add_subplot(1,1,1)\n    ax.spines['left'].set_position('zero')\n    ax.spines['bottom'].set_position('zero')\n    #ax.spines['right'].set_position('zero')\n    #ax.spines['top'].set_position('zero')\n    ax.spines['right'].set_color('white')\n    ax.spines['top'].set_color('white')\n    c_one = plt.Circle((x_point,y_point),\n                           r,\n                           color=\"green\",\n                           fill=False,\n                           alpha=0.9,\n                           lw=3)\n    ax = plt.gca()\n    plt.title(\"UNIT CIRCLE\")\n    ax.add_patch(c_one)\n    ax.set_aspect('equal',\n                      adjustable='datalim')\n    if lineon:\n        plt.axvline(x=5.3,\n                   color=\"r\",\n                   label='axvline - full height')\n        ax.plot()\n        plt.tight_layout()\n        plt.show()\n    else:\n        ax.plot()\n        plt.tight_layout()\n        plt.show()","metadata":{"execution":{"iopub.status.busy":"2023-05-04T08:11:15.668024Z","iopub.execute_input":"2023-05-04T08:11:15.668797Z","iopub.status.idle":"2023-05-04T08:11:15.677031Z","shell.execute_reply.started":"2023-05-04T08:11:15.668754Z","shell.execute_reply":"2023-05-04T08:11:15.676223Z"},"trusted":true},"execution_count":136,"outputs":[]},{"cell_type":"markdown","source":"# Example of Function and Output","metadata":{}},{"cell_type":"markdown","source":"* $f(x) = x^2 + 4$","metadata":{}},{"cell_type":"code","source":"def FUNCTION_ONE(x)->RESULTS:\n    y = (x**2)+4\n    return y","metadata":{"execution":{"iopub.status.busy":"2023-05-04T07:09:16.984087Z","iopub.execute_input":"2023-05-04T07:09:16.984482Z","iopub.status.idle":"2023-05-04T07:09:16.990406Z","shell.execute_reply.started":"2023-05-04T07:09:16.984451Z","shell.execute_reply":"2023-05-04T07:09:16.988908Z"},"trusted":true},"execution_count":4,"outputs":[]},{"cell_type":"code","source":"y:int = FUNCTION_ONE(3)\nprint(f\"Result of function: {y}\")","metadata":{"execution":{"iopub.status.busy":"2023-05-04T07:10:41.815712Z","iopub.execute_input":"2023-05-04T07:10:41.816419Z","iopub.status.idle":"2023-05-04T07:10:41.822252Z","shell.execute_reply.started":"2023-05-04T07:10:41.816378Z","shell.execute_reply":"2023-05-04T07:10:41.821072Z"},"trusted":true},"execution_count":5,"outputs":[{"name":"stdout","text":"Result of function: 13\n","output_type":"stream"}]},{"cell_type":"code","source":"y:int or float = FUNCTION_ONE((5)**(1/2))\nprint(f\"Result of function: {y}\")","metadata":{"execution":{"iopub.status.busy":"2023-05-04T07:11:56.658874Z","iopub.execute_input":"2023-05-04T07:11:56.659243Z","iopub.status.idle":"2023-05-04T07:11:56.665266Z","shell.execute_reply.started":"2023-05-04T07:11:56.659212Z","shell.execute_reply":"2023-05-04T07:11:56.663948Z"},"trusted":true},"execution_count":10,"outputs":[{"name":"stdout","text":"Result of function: 9.0\n","output_type":"stream"}]},{"cell_type":"markdown","source":"- _(5) ** (1/2)_ means $\\sqrt{5}$","metadata":{}},{"cell_type":"markdown","source":"# Vertical Line Test","metadata":{}},{"cell_type":"markdown","source":"- Not every curve you draw is the graph of a function. A function $ƒ$ can have only one value $ƒ(x)$ for each **x** in its domain, so _no vertical line_ can intersect the graph of a function more than once. For instance, a circle cannot be the graph of a function since some vertical lines inter-sect the circle twice.","metadata":{}},{"cell_type":"code","source":"def FUNCTION_TWO(x)->RESULTS:\n    y = (1-(x)**2)**1/2\n    return y","metadata":{"execution":{"iopub.status.busy":"2023-05-04T07:36:04.620264Z","iopub.execute_input":"2023-05-04T07:36:04.620906Z","iopub.status.idle":"2023-05-04T07:36:04.625658Z","shell.execute_reply.started":"2023-05-04T07:36:04.620870Z","shell.execute_reply":"2023-05-04T07:36:04.624727Z"},"trusted":true},"execution_count":57,"outputs":[]},{"cell_type":"markdown","source":"- $ƒ(x) = \\sqrt{1-x^2}$ ","metadata":{}},{"cell_type":"code","source":"x = np.linspace(-1,1,200)\ny = []\nfor i_ in x:\n    y.append(FUNCTION_TWO(i_))\ny = np.array(y)","metadata":{"execution":{"iopub.status.busy":"2023-05-04T08:10:00.820812Z","iopub.execute_input":"2023-05-04T08:10:00.821906Z","iopub.status.idle":"2023-05-04T08:10:00.827610Z","shell.execute_reply.started":"2023-05-04T08:10:00.821867Z","shell.execute_reply":"2023-05-04T08:10:00.826598Z"},"trusted":true},"execution_count":123,"outputs":[]},{"cell_type":"code","source":"PLOT_FUNCTION(x,y,lineon=True)","metadata":{"execution":{"iopub.status.busy":"2023-05-04T08:10:01.404141Z","iopub.execute_input":"2023-05-04T08:10:01.404545Z","iopub.status.idle":"2023-05-04T08:10:01.811239Z","shell.execute_reply.started":"2023-05-04T08:10:01.404511Z","shell.execute_reply":"2023-05-04T08:10:01.810145Z"},"trusted":true},"execution_count":124,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1500x800 with 1 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Piecewise-Defined Functions","metadata":{}},{"cell_type":"markdown","source":"- Sometimes a function is described by using different formulas on different parts of its domain. One example is the **absolute value function**.","metadata":{}},{"cell_type":"code","source":"def FUNCTION_PIECEWISE(x)->RESULTS:\n    if x >= 0:\n        return x\n    elif x < 0:\n        return -x","metadata":{"execution":{"iopub.status.busy":"2023-05-04T07:50:37.671485Z","iopub.execute_input":"2023-05-04T07:50:37.672479Z","iopub.status.idle":"2023-05-04T07:50:37.677630Z","shell.execute_reply.started":"2023-05-04T07:50:37.672432Z","shell.execute_reply":"2023-05-04T07:50:37.676397Z"},"trusted":true},"execution_count":69,"outputs":[]},{"cell_type":"markdown","source":"$$\nf(x)=\n\\begin{cases}\nx & \\quad \\text{$x >= 0$}\\\\ \n-x & \\quad \\text{$x < 0$}\n\\end{cases}\n$$","metadata":{}},{"cell_type":"code","source":"y = FUNCTION_PIECEWISE(1)\nprint(f\"RESULT OF FUNCTION: {y}\")","metadata":{"execution":{"iopub.status.busy":"2023-05-04T07:54:25.022243Z","iopub.execute_input":"2023-05-04T07:54:25.022650Z","iopub.status.idle":"2023-05-04T07:54:25.028549Z","shell.execute_reply.started":"2023-05-04T07:54:25.022617Z","shell.execute_reply":"2023-05-04T07:54:25.026837Z"},"trusted":true},"execution_count":70,"outputs":[{"name":"stdout","text":"RESULT OF FUNCTION: 1\n","output_type":"stream"}]},{"cell_type":"code","source":"y = FUNCTION_PIECEWISE(-2)\nprint(f\"RESULT OF FUNCTION: {y}\")","metadata":{"execution":{"iopub.status.busy":"2023-05-04T07:54:31.445338Z","iopub.execute_input":"2023-05-04T07:54:31.445717Z","iopub.status.idle":"2023-05-04T07:54:31.450900Z","shell.execute_reply.started":"2023-05-04T07:54:31.445689Z","shell.execute_reply":"2023-05-04T07:54:31.449512Z"},"trusted":true},"execution_count":71,"outputs":[{"name":"stdout","text":"RESULT OF FUNCTION: 2\n","output_type":"stream"}]},{"cell_type":"code","source":"x = np.linspace(-1,2,200)\ny = []\nfor i_ in x:\n    y.append(FUNCTION_PIECEWISE(i_))","metadata":{"execution":{"iopub.status.busy":"2023-05-04T08:10:07.759299Z","iopub.execute_input":"2023-05-04T08:10:07.760131Z","iopub.status.idle":"2023-05-04T08:10:07.765870Z","shell.execute_reply.started":"2023-05-04T08:10:07.760086Z","shell.execute_reply":"2023-05-04T08:10:07.764804Z"},"trusted":true},"execution_count":125,"outputs":[]},{"cell_type":"code","source":"PLOT_FUNCTION(x,y)","metadata":{"execution":{"iopub.status.busy":"2023-05-04T08:10:08.527020Z","iopub.execute_input":"2023-05-04T08:10:08.527651Z","iopub.status.idle":"2023-05-04T08:10:08.946406Z","shell.execute_reply.started":"2023-05-04T08:10:08.527614Z","shell.execute_reply":"2023-05-04T08:10:08.945254Z"},"trusted":true},"execution_count":126,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1500x800 with 1 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Plot of Functions","metadata":{}},{"cell_type":"code","source":"x = np.linspace(-10,\n                10,\n                1000)\n# This NumPy function generates an array of 1,000 evenly spaced numbers between -10 and 10","metadata":{"execution":{"iopub.status.busy":"2023-05-04T08:10:12.857916Z","iopub.execute_input":"2023-05-04T08:10:12.858349Z","iopub.status.idle":"2023-05-04T08:10:12.863527Z","shell.execute_reply.started":"2023-05-04T08:10:12.858315Z","shell.execute_reply":"2023-05-04T08:10:12.862470Z"},"trusted":true},"execution_count":127,"outputs":[]},{"cell_type":"code","source":"PLOT_FUNCTION(x,x)","metadata":{"execution":{"iopub.status.busy":"2023-05-04T08:10:22.568787Z","iopub.execute_input":"2023-05-04T08:10:22.569191Z","iopub.status.idle":"2023-05-04T08:10:23.016828Z","shell.execute_reply.started":"2023-05-04T08:10:22.569159Z","shell.execute_reply":"2023-05-04T08:10:23.015753Z"},"trusted":true},"execution_count":130,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1500x800 with 1 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