Aug. 23: Notes 1 Variables in traffic modeling.
Aug. 25: Notes 2 Continuity equation.
Aug. 27: Notes 3 Basic model of driver's behavior.
Aug. 30: Notes 4 Density waves.
Sept. 1: Notes 5 Method of characteristics. Traffic light.
Sept. 3: Notes 6 Traffic light continued.
Sept. 8: Notes 7 Shocks: formation and dynamics.
Sept. 10: Notes 8 Example of a shock solution. Mathematica code shown in class: shock.nb
Sept. 13: Notes 9 Review of Fourier series.
Sept. 15: Notes 10 Fourier series and linear stability analysis of PDE solutions.
Sept. 17: Notes 11 Linear stability analysis of the time-delayed traffic model.
Sept. 22: Notes 13 Synchronization: two oscillators.
Sept. 24: Notes 14 Kuramoto model.
Sept. 27: Notes 15 Kuramoto's self-consistent solution I.
Sept. 29: Notes 16 Kuramoto's self-consistent solution II.
Oct. 1: Notes 17 Linear stability of the incoherent state.
Oct. 4: Notes 18 Face recognition: preliminaries.
Oct. 6: Notes 19 Singular value decomposition (SVD).
Oct. 8: Notes 20 Interpretation of SVD.
Oct. 11: Notes 21 Face recognition using eigenfaces.
Oct. 13: Notes 22 Least squares solution using SVD.
Oct. 25: Notes 24 Neural networks: introduction and Hopfield networks.
Oct. 27: Notes 25 Hopfield networks: multiple patterns using Hebb's rule.
Oct. 29: Notes 26 Memorizing correlated patterns. Mathematica code shown in class: Hopfield.zip
Nov. 1: Notes 27 Learning networks.
Nov. 3: Notes 28 Perceptrons: one layer.
Nov. 5: Notes 29 Error back-propagation.
Nov. 12: Notes 30 GPS I.
Nov. 15: Notes 31 GPS II.