Cocalc Introduction People Goshen Edu

... stands for 'Collaboritive Calculation in the Cloud'. Built with open source tools, it's a platform that has been shepherded by the mathematician William Stein, first as SageMath, since about 2007. The CoCalc platform supports Jupyter notebooks. When you see familiar terms spelled with py instead of pi, it's because developers using the python computing language have been involved! A notebook (files end in .ipynb) mixes computer math calculations, graphics, data visualizations and documentation including publication-quality math typesetting.

Within a single Jupyter notebook you can include all these things: [(*) These are the ones you'll be using in Calculus I & III. ] You can set up an account and do all this for free without installing any software on your own computer, other than a web browser. (Right now, the GC Math Department is picking up the tab for improved performance for your class projects. Watch this Video introduction (10 minutes) to CoCalc (below). It was prepared for a programming (Python) class.

We'll be doing slightly different things. ... stands for 'Collaboritive Calculation in the Cloud'. Their platform allows you to: You can set up an account and do all this for free without installing any software on your own computer, other than a web browser. (Acknowledgment: This web page is a revision of one originally authored by Paul Meyer-Reimer.)

A project is like a folder for your work. But you have to create one before you can do anything else. After you Create an account on CoCalc, or after you sign in, you'll land on the Projects page. Your new notebook will open. Let's get oriented... You'll be using CoCalc to author notebooks: Documents that combine writing and calculations.

Before you can start a notebook, you'll need to set up a project. A project is like a folder for your work. But you have to create one before you can do anything else. After you Create an account on CoCalc, or after you sign in, you'll land on the Projects page. Unless otherwise noted, Calculus I students will be working with Jupyter notebooks. Start your first notebook:

Your new notebook will open. Let's get oriented... Collaborative Calculation and Data Science Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, and more, all in one place. Some notes on math / physics topics that are useful across a number of the classes I teach at Goshen College. Data science is a relatively recent term for an interdisciplinary field that can include data analysis, statistics, visualization, and machine learning.

Jupyter notebooks are popular in this field. The "notebook" interface allows you to mix writing and calculation/code in the same document. And the "code" can include any of an expanding number of open-source packages, including R, Python, Pandas, SageMath... Intro to Desmos for graphing and data modelling Battaglia and George, Tensors: A guide for undergraduate students (pdf), American Journal of Physics, 2013. 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. In this guide we highlight the most important concepts you should be aware of to work in CoCalc effectively. Some of them you may start using right away, others (like TimeTravel and Backups) may save the day later.

Many have more detailed documentation pages should you wish to study them deeper. Once you create an account on CoCalc, you should have access to at least one project - either your personal one, or projects you were invited to collaborate on. You can think of “a project” as “a virtual computer”: it has your files and can run various software to interact with them. In CoCalc it is also “a collaboration unit”: you can look at and edit the same files as your collaborators. In particular, Jupyter Notebooks always have the same state for you and them, including variables in memory and widget settings. How many Projects do you need?

As many as collaboration groups you are a part of. In particular, if you are working by yourself, then there is not much benefit to having more than one, although you may prefer to use projects as an organizational tool. If you are enrolled into CoCalc courses, a dedicated project will be created for you automatically and your collaborators on it will be your instructors and TAs. You should have a license applied to every project you are working on. If you have collaborators, it is possible that they have already taken care of it. CoCalc Licenses are applied to projects, not to users, they determine configuration of that “virtual computer”, regardless of how many people are using it (of course, if there are many heavy users, you may...

Without a license your project will work in trial mode with very limited resources. As soon as you confirm that CoCalc seems to be what you need, we strongly encourage you to get a subscription, i.e. an automatically renewing license. If you are not sure what variant to pick - pick the standard one! ...before it ever gets around to executing your cell. There is some indication that matplotlib "leaks memory": The more figures you plot, the more memory (on your CoCalc "project" virtual server) is set aside...until you run out.

Execute these two commands (can be together in one cell) to free up any memory being used to hang on to past plotting figures: You can use greek letters as Sagemath variables: CoCalc lets you use $\pi$ in such a way that you can write expressions that include it in a result. I would love to use symbols like $\hbar$ in that same fashion! Let me know if you find a way... © Copyright 2025, Sagemath, Inc., CC BY-4.0 licensed.

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