Boards
- Calculus in Sage
Sage code items: a derivative, integrals, a Taylor polynomial, a limit, a series, an ODE, and a plot of cos x against its Taylor polynomial.
calculus - The Collatz map, live
Python code items, run reactively in reading order, with their output under their code.
number theoryprogramming - Hello, board: every kind of item
Every kind of item: notes in many shapes, Markdown and math, a group, a sticker, ink, and Python code items that run.
basics - How Sagebrush is built
The architecture, with a tour: where it runs, the notebook, the compiler, the runtime, the library and the engines.
sagebrushdiagrams - Three proofs that there are infinitely many primes
Euclid, Euler and Fürstenberg, a page each, with tours: pages, math, and printing (or saving as PDF) a sheet per page or per step.
number theoryproofs - Linear algebra with NumPy
NumPy code items: solving a linear system, eigenvalues and a least-squares fit.
linear algebra - Magma
Magma code items: factoring, prime sequences, Euler's phi and the Chinese remainder theorem.
basics - MATLAB
MATLAB code items: a determinant, eigenvectors, a linear solve, polyfit, a loop, a function and a plot.
basicslinear algebra - Mermaid flowcharts, laid out by the board
Two Mermaid flowcharts laid out by the board: every shape and kind of line, and about 100 nodes of Mermaid's own code flow.
diagrams - Museum tour: how do you solve polynomial equations? (after Bianca Viray)
A tour in rooms: solving polynomial equations by Newton's method, number fields, Galois groups and rational points.
polynomialsnumber theory - Number theory in Sage
Sage code items: primes, a Fermat number factored, the Chinese remainder theorem, and arithmetic functions.
number theory - Plots with matplotlib
matplotlib code items: a line plot, a histogram, a scatter plot and side-by-side bar charts.
plots - How do you solve polynomial equations over Q? A museum tour
Rational roots, Galois groups, rational points on a circle and on an elliptic curve, in Sage code items.
polynomialsnumber theory - What does transitive mean?
A Sage lesson on permutation groups: orbits, orbit-stabilizer, blocks, with questions that check answers.
group theoryteaching