Differential Equations, a Tourist's Guide

This course provides an overview of Ordinary Differential Equations (ODEs) and their applications. The learning outcomes include understanding the basics of differential equations, higher-order differential equations, pendulum differential equations, visualization techniques, vector fields, phase spaces, and applications in love and computing. The course teaches skills such as analyzing and solving ODEs, visualizing vector fields, and interpreting phase spaces. The teaching method involves animated explanations and interactive visualizations. The intended audience for this course includes individuals interested in mathematics, particularly those looking to explore the beauty and applications of ODEs in various fields.