A year of physics required, as well as some familiarity with basic derivatives and integrals; most importantly, a desire to see more advanced mathematics in action.
“I’ve gained the confidence to approach difficult problems, general laboratory skills, note-keeping protocol, patience and a greater appreciation for complex physics." — Colette Juran, 2016
In this course, students join members of Columbia's Physics Department for discussions of contemporary physical theories and for work on experiments in the University laboratories.
Morning lectures introduce students to the fundamentals of classical mechanics, waves, electromagnetism, quantum mechanics, relativity, and nuclear and elementary particle physics. New mathematical concepts are presented in detail. Afternoon laboratory work focuses on experiments and computer simulations in both classical and modern physics. Several tours of Columbia's research laboratories are scheduled.
Please note that, because the meeting times for this course overlap with the midday activities schedule, participants would not be able to take part in midday extracurricular activities. Also, because there is a significant overlap between the content of this class and Mathematical Boot Camp for Budding String Theorists; it is not recommended that students take both.
Tim Halpin-Healy received his doctorate in physics from Harvard University in 1987, following an A.B. from Princeton University in 1981. He’s been a research fellow at the Isaac Newton Institute for Mathematical Sciences; Cambridge University, England; as well as the Departement de Physique, Ecole Normale Superieure, Paris. He is currently Ann Whitney Olin Professor of Physics at Barnard College, Columbia University. His scientific research concerns the dynamics of complexity, where the competing effects of order and disorder delicately balance, producing some of nature’s most beautiful pattern formation phenomena. The technical tools of his trade involve quantum field theory, the renormalization group, fractals and chaos.