Survey of Modern Mathematics

Level: Open to students entering grades 11 or 12 or freshman year of college in fall 2015.
Session: I, June 23-July 11, 2014
Days & Time: Monday-Friday, 10:00 AM-12:00 PM and 2:00-4:00 PM, with a ten minute break halfway through each meeting.
Instructor(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.

Related Courses:

Students interested in this course might also be interested in Mathematical Boot Camp for Budding String Theorists.

[My daughter] studied advanced mathematics with brilliant students from Russia, China, India, Greece, as well as many other parts of the United States. It stretched her, but she was able to keep up and produce work that she will always be proud of.  We cannot recommend this program highly enough. - Pam Ward, Parent 2013

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.

Instructor(s):

Ali Masoumi

Ali Masoumi is a postdoctoral researcher at Tufts University's Institute of Cosmology, a division of Tufts' Department of Physics and Astronomy. He holds an M.S, an M.Phil., and a Ph.D. in physics from Columbia University and a B.A. in mathematics and physics from Sharif University in Tehran. As a teaching assistant at Columbia, he received the Alan M. Sachs Teaching Award. He has taught high-achieving high school students not only in the Summer Program for High School Students but also in Columbia's Science Honors Program. Masoumi's current studies focus on early and late universe cosmology.