# Category Archives: Sage

## Visualizing coordinate transformations

Here is some sage code to help you visualize coordinate transformations. I give three examples: Polar coordinates: Hyperbolic coordinates: One more fun example:

## Sage: Eigenstuff

This help sheet is very useful! Suppose we want to find the eigenvalues and eigenvectors of the matrix We can find the eigenvalues using A list of eigenvalues, with corresponding eigenvectors and multiplicities, is obtained from The code produces two … Continue reading

## Sage: Numerically solving differential equations

Euler’s method by hand We can easily make Sage do the computations in Euler’s method. Here I explain how to build code to analyze the initial value problem First we define variable and also the function that determines the right … Continue reading

## Sage: Parametric curves and vector fields

This is one in a series of posts containing short snippets of Sage code for my students to use: see my page on Sage. Vector fields can be plotted using the vector_field command: Sometimes it is convenient to plot the … Continue reading

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## Sage: plotting functions

This is one in a series of posts containing short snippets of Sage code for my students to use: see my page on Sage. Plotting a single function Simple plotting of functions can be done with the plot command: A … Continue reading