Special Topics in Mathematics: The Ellipse

Catalog description

The course delves into concepts using ellipses as a foundational shape: Synthetic & Projective geometry, theorems like Pascal's, Potential theory encompassing Newton’s cloaking, Elliptic functions aiding arc length computation, Quantization of ellipses involving Jacobi matrices, Moving boundaries (e.g., crystal growth) maintaining ellipses, with potential for broader topics.