Phy 330 - Math. Methods of Physics
9/28/2016: Class on Oct 20th is cancelled. Replaced by tutorials that are part of the Kadanoff Memorial Symposium on Oct 21st.
Homework Set 1 (Assigned: Oct 5, 2016, Updated Oct 11, 8 PM)
Homework Set 2 (Assigned Nov 1, 2016)
Homework Set 3 (Assigned Nov 14, 2016. Scanned from Strogatz, Nonlinear Dynamics and Chaos)
Homework Set 4 (Assigned Nov 26, 2016 , Due Dec 11 2016, 4 PM. See HW for submission instructions.)
Other suggested materials:
Maxwell count and linearized stability in mechanics by Lubensky et al. See Sec. I and II.
Accessible explanation of floppy and self-stress modes
Gilbert Strang's book chapter on the "four subspaces" (rank, null, kernel and all that)
Allesina et al on random matrices and complex ecosystems
Stability of Complex Ecosystems, Nature, 483,205–208 (2012)
Modularity and stability in ecological communities, Nat. Comm., 7,12031 (2016)
Robert May's original paper, Will a large complex system be stable?, Nature 238, 413 - 414 (1972)
Time delays, poles and control theory in current research:
Active Cancellation of Acoustical Resonances with an FPGA FIR Filter, Ryou and Simon