Survey of Modern Mathematics

Level:
Open to students entering grades 11 or 12 or freshman year of college in the fall
Session:
I - June 25–July 15, 2017
Days & Time:
Monday–Friday, 11:10 a.m.–1:00 p.m. and 3:10–5:00 p.m.
Teacher(s):
Ali Masoumi
Prerequisites:

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

Course Description

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.

Teacher(s)

Ali Masoumi

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.

Back to the Course Guide

Specific course information, such as hours and instructors, are subject to change at the discretion of the University.