Cocalc Sageintrojupyter Ipynb

Sage is an open-source (and free) mathematical software system. CoCalc provides a way to use Sage through a web browser, without having to install Sage on your own computer. We will use Sage in this course to explore some Calculus using software tools. This is an example of a Jupyter Notebook, which allows us to mix text with code segments. (This notebook uses Sage for the code, but you can also use other software, such as Python.) To create your own new Jupyter Notebook for using Sage on CoCalc, do the following:

Click "New", enter the name for your new notebook, and click the "Jupyter Notebook" button. Click the "Kernel" menu item (in the same row as "File" above), and under "Change Kernel", select the most recent Sage kernel. (Right now, that is SageMath 8.8.) This document aims to give a crash-course to Sage. There are many additional resources for help, including the built-in documentation (discussed below), the official Sage tutorial, and the (highly recommended) open textbook Computational Mathematics with SageMath. Sage is free and open source.

Information on running a local installation can be found on the Sage installation guide. Alternatively, Sage can be run "in the cloud" by making a (free) account on the CoCalc website or by uploading a Jupyter notebook to a public git repository and using mybinder.org. This document is written as a Jupyter notebook, the most common (and convenient) way to write and execute Sage code. A notebook is composed of cells. Most of the cells in this notebook consist of an Input section (containing Sage code) and (potentially) an output section (containing the result of evaluating that Sage code) −-− some code cells simply perform... A few cells (including the current one) consist of formatted text and LaTeX\rm\LaTeXLATE​X equations, written using the Markdown markup language.

A third type of cell contains plain, unformatted text. To execute a piece of Sage code, click on the Input section of the corresponding code cell and hit Shift + Enter (only hitting Enter simply adds a new line). The reader should execute each statement as they work through the notebook, and is encouraged to modify the code and play around as they go. Note that skipping a cell may result in errors when later cells are executed (for instance, if one skips a code block defining a variable and later tries to run code calling that variable). To add a new cell, click to the left of any cell and press the "a" key (to insert above) or the "b" key (to insert below). To delete a cell, click to the left of a cell and press the "d" key twice.

These (and other) tasks can also be accomplished through the menu bars at the top of the page. This introduction is based off of a worksheet originally written by Steven Melczer. This document aims to give a crash-course to Sage. There are many additional resources for help, including the built-in documentation (discussed below), the official Sage tutorial, and the (highly recommended) open textbook Computational Mathematics with SageMath. Sage is free and open source. Information on running a local installation can be found on the Sage installation guide.

Alternatively, Sage can be run "in the cloud" by making a (free) account on the CoCalc website. This document is written as a Jupyer notebook, the most common (and convenient) way to write and execute Sage code. A notebook is composed of cells. Most of the cells in this notebook consist of an Input section (containing Sage code) and (potentially) an output section (containing the result of evaluating that Sage code) −-− some code cells simply perform... A few cells (including the current one) consist of formatted text and LaTeX equations, written using the Markdown markup language. A third type of cell contains plain, unformatted text.

To execute a piece of Sage code, click on the Input section of the corresponding code cell and hit Shift + Enter (only hitting Enter simply adds a new line). The reader should execute each statement as they work through the notebook, and is encouraged to modify the code and play around as they go. Note that skipping a cell may result in errors when later cells are executed (for instance, if one skips a code block defining a variable and later tries to run code calling that variable). There are a selection of short exercises throughout, and a few larger exercises in the final section. To add a new cell, click to the left of any cell and press the "a" key. To delete a cell, click to the left of a cell and press the "d" key.

These (and other) tasks can also be accomplished through the menu bars at the top of the page. Additional details on the topics most closely related to combinatorics are covered in a follow-up notebook, available by clicking here. This is an introduction to the basic functionality of Python and Sage, with an emphasis on seeing how to handle a worksheet and how to get more detailed help. We will point out a little bit of the power that Sage has hiding in it, but this is not a full-fledged tutorial. There are two (main) ways to use sage: terminal and browser. Terminal: You can use sagemath from your computer itself.

Everything lives on your computer. Uses your computers components, so it'll be faster. On Ubuntu, you can type sage from your computer and it'll open up the terminal. You can then type whatever code you want and hit enter and you'll get the results. Browser: You can use sagemath from any website. Everything lives on the cloud (good for collaboration/sharing).

Uses cocalc servers, so it'll be slower. This file is the browser version. We normally call these "worksheets" and each little box in a worksheet is a "cell". This is where you write you code on the browser. Once you've written your code, you type shift + enter and you'll get your results. Let's test out that sage works.

Try doing 2+7 in sage. CoCalc with Sage combines the capabilities of a word processor and a sophisticated calculator. Read and follow the instructions below to obtain an introduction to CoCalc and Sage and a review of some important mathematical concepts and techniques. You are encouraged to collaborate with other students and to seek assistance from the instructor and others. However, each student must submit their own completed notebook and acknowledge any collaborators, resources used, and assistance received. Note that there are some suggested exercises along the way, but it is only the assignment in the last section that should be submitted for a grade.

Notebooks are partitioned into markdown and code cells. To edit a markdown cell: double-click, type the text you want, and press shift-enter to make it look pretty. Lines starting with one to six hash marks (#) are converted into header font sizes. Text surrounded by single underscores or asterisks are emphasized, and text surrounded by two underscores or asterisks are strongly emphasized. More details about the markdown syntax can be obtained by clicking on 'Help' in the menu bar and then clicking on 'Markdown' in the dropdown menu. Exercise.

Insert a new markdown cell below this one and type a random sentence with a word emphasized. Code cells contain commands to be executed. The following code cell calculates cos⁡(π3)+4(log⁡(e13)−1512)\cos(\frac{\pi}{3})+4\left(\log(e^{13})-\sqrt{\frac{15}{12}}\right)cos(3π​)+4(log(e13)−1215​​). Execute the command by clicking anywhere in the command and pressing shift-enter. Several observations can be made. Commands are typed with standard keyboard characters.

The characters +, -, *, and / are used for addition, subtraction, multiplication, and division, respectively. Functions are represented with standard names: cos for cosine, log for the natural logarithm, and sqrt for the square root. The arguments to functions are enclosed within parentheses. Finally, the output is an exact value: 5\sqrt{5}5​ cannot be written as an integer or rational number and so is left as 5\sqrt{5}5​, and the rational number 172\frac{17}{2}217​ is left as 17/2 rather than... You can ask Sage to output an approximate real number or 'numerical' result by using the n function. Execute the next code cell and observe the output.

Collaborative Calculation and Data Science Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, and more, all in one place. CoCalc: Collaborative Calculations and Data Science Notebook graphical interface: run sage -n jupyter; see the Jupyter documentation on-line, Interactive command line: see The Interactive Shell, Programs: By writing interpreted and compiled programs in Sage (see Loading and Attaching Sage files and Creating Compiled Code), and

Scripts: by writing stand-alone Python scripts that use the Sage library (see Standalone Python/Sage Scripts). Tutorial made for the Virtual Global Sage Days 109 We will introduce some of the fundamental concepts in Python and SageMath. Learn how to run Sage command line or notebook Basic expressions and variables in Python and SageMath Introduce some basic packages for plotting etc.

There was an error while loading. Please reload this page. Remember: if you don't find what you need, or if you'd like to ask a question, then please email help@sagemath.com at any time. We'd love to hear from you! Please include a link (the URL address in your browser) to any relevant project or document, as part of your email. CoCalc lets you use back-end Jupyter processes, or kernels, such as the languages Python and R, from both Jupyter notebooks and Sage worksheets.

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