Thorough knowledge of high school mathematics, up to and including first-year calculus. Students are selected on the basis of their aptitude for mathematics.
“[I liked] learning things I would never learn in school.” — From a 2016 Course Evaluation
This course is designed to acquaint high school students with some of the exciting developments in modern mathematics, including differential geometry, differential equations, chaos and fractals, and computational geometry.
Students meet for a two-hour lecture in the morning, and participate in a supervised computer laboratory session in the afternoon. Each student is assigned to a computer terminal for completion of laboratory exercises designed to expand upon the focus of the morning lecture. The exercises employ the special Mathematica packages and graphics that have recently become available for the advanced topics mentioned above. An additional benefit of the course is that students become proficient in the use of Mathematica.
Ali Masoumi is a postdoctoral researcher at Tufts Institute of Cosmology, Tufts University. He works mainly on early universe cosmology and properties of string landscape as well as cosmological phase transition. He holds a B.A. in mathematics and physics from Sharif University, Iran, and an M.A., M.Phil., and Ph.D. in physics from Columbia University. Ali has taught in Columbia's science honors program for high school students and won the Alan Sachs teaching award as a teaching assistant at Columbia.