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Geogebra classic animation3/16/2023 ![]() Some examples of graphs with corners which I talked about in lecture. Transformations are represented both algebraically and graphically.Ĭonstruction of the Tangent to a ParabolaĪn applet illustrating how the tangent to a parabola is obtained through successive secant lines. This applet will help you to understand the connection between the graph of a function and a function as and input-output machine.Īn applet illustrating how the graphs of sine and cosine are related to the unit circle.Īn applet illustrating how transformations affect the graph of a function. A quick search will show you how to install these libraries.įor a sample of how Python can be used to do mathematics see this page (still in development).Ī graph of a functions is a visual representation of the pairs ( input, output), in the plane. If you are using Python locally on your computer, you'll want to make sure you have four libraries installed: NumPy, SciPy, matplotlib and SymPy. You'll also be able to store your notebooks in the cloud. Login with your google account, and you can use Python in your web browser. General public can access to python through. Login with your SFU ID, and you can use Python in your web browser. SFU students have access to python through. Python is a programming language, but it does have libraries that are available to do mathematical computing. SFU Students will learn Matlab in MACM 203 Computing with Linear Algebra. However, it is installed on most computers on the SFU campus, so if you are an SFU student you do have access to it. Matlab is a very powerful mathematical software package. SFU Students will learn Maple in MACM 204 Computing with Calculus (covers differential and integral caculus in one and two variables and differential equations). ![]() Just create a username and password and you're off and running.ĭownload: If you want to download your own free copy of SageMath to run on your computer then go here Maple is a very powerful mathematical software package. Use Sage now: To run SageMath online instantly, try this cell server.ĬoCalc: You can access your own creation space by using SageMath online here. Then click Sage as a Calculator to see basic arithmetic examples, and the left menu now has links to examples from calculus. Tutorial: For an online tutorial in using SageMath click here. However, if you are familiar with Python and would like to see what professional mathematicians use to do research then play around with SageMath. We'll use it a few times in this course, but I'll provide you with the code and you won't need to download anything. SageMath is a very powerful mathematical software package. ĭesmos is a free online graphing utility. Want to download your own free copy, find it here. I'll be using it quite a bit in class, and all interactive applets below were created with Geogebra. It is great for easily creating dynamic interactive plots and geometric constructions. Geogebra is a free software package for visualizing mathematics. Here is a short youtube video about how to use Wolfram|Alpha in calculus: Of course you could always use it for free in the browser, but the app adds some nice features like a mathematics keyboard. Wolfram|Alpha is also available as a ipod touch/iphone app for $1.99. This site only launched 1.5 years ago and I put this link here as yet another resource you may find helpful in learning calculus. Type in a function, it will tell you lots of things about it (yes, including it's derivative and indefinite integral). Type in your name, it will give you data about how many people in the US share your first name. Enter your question or calculation, and Wolfram|Alpha uses its built-in algorithms and a growing collection of data to compute the answer. In their own words: "Wolfram|Alpha is the first step in an ambitious, long-term project to make all systematic knowledge immediately computable by anyone.
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