**About this course: **We invite you to a fascinating journey into Graph Theory — an area which connects the elegance of painting and the rigor of mathematics; is simple, but not unsophisticated. Graph Theory gives us, both an easy way to pictorially represent many major mathematical results, and insights into the deep theories behind them.
In this course, among other intriguing applications, we will see how GPS systems find shortest routes, how engineers design integrated circuits, how biologists assemble genomes, why a political map can always be colored using a few colors. We will study Ramsey Theory which proves that in a large system, complete disorder is impossible!
By the end of the course, we will implement an algorithm which finds an optimal assignment of students to schools. This algorithm, developed by David Gale and Lloyd S. Shapley, was later recognized by the conferral of Nobel Prize in Economics.
As prerequisites we assume only basic math (e.g., we expect you to know what is a square or how to add fractions), basic programming in python (functions, loops, recursion), common sense and curiosity. Our intended audience are all people that work or plan to work in IT, starting from motivated high school students.

I have been reading and buying books on Graph Theory in the hopes of finding some interesting insights I could bring to my after school students. None of them had Guarini's Puzzle which really is a beautiful and succinct example of Graph Theory in action. Hoping we can use what I am learning here to develop some rigorous graph methods for finding the solutions to tiling polyominoes and packing the SOMA cube. We like to make build physical objects as a starting off point for study. (leonardosbasement.org).

I am enjoying the "try this" before "we explain everything" approach also. Solving problems in python notebook is also great.