♦ CLASS VIDEOS: 2017 (for captioning you might try http://ncamftp.wgbh.org/cadet/ )

• Lecture 01: 9/08/17: Introduction, Chapter 70 Aid, Indians' Streak: https://youtu.be/jMnzNIBv1Qg; also first day: slides    handout
• Lecture 02: 9/11/17: Exponential Function, Generalizations with Matrices, Inner Products: https://youtu.be/ZLMB5Jdccfk
• Lecture 03: 9/13/17: Lp Spaces, Orthonormal Functions, Bessel's Inequality, Riemann-Lebesgue Lemma: https://youtu.be/YjTljfqW0NQ
• Lecture 04: 9/15/17: Linear Regression, Win Streaks: https://youtu.be/W2g7levI35o
• Lecture 05: 9/18/17: Approximations to the Identity, Dirichlet Kernel, Fejer Kernel: https://youtu.be/GI4VVJLUpXo
• Lecture 06: 9/20/17: Fejer's Theorem, Dirichlet's Theorem: https://youtu.be/QhUNSQuiV08
• Lecture 07: 9/22/17: Bessel's Equality, Evalulating Sums: https://youtu.be/PHIEf5s8Nog
• Lecture 08: 9/24/17: Evaluating Sums, Extending Dirichlet's Theorem: https://youtu.be/OOeBLBNrJJg
• Lecture 09: 9/27/17: Fourier Transform, Poisson Summation: Part 1: https://youtu.be/v7yP9UXuxY8 (audio lost last 12 minutes, see https://youtu.be/2gfa5pvQ8kc for rest)
• Lecture 10: 9/29/17: Introduction to Benford's Law, Spreading Normal mod 1 is Uniform: https://youtu.be/UQijNiZUlic
• Lecture 11: 10/02/17: Gaussian Integral, Fourier Transform of the Normal Distribution: https://youtu.be/FzqMInRzOew
• Lecture 12: 10/04/17: Spreading Normal mod 1, Fibonaccis are Benford, Kronecker's Theorem: https://youtu.be/WVWiWsfUlW8
• Lecture 13: 10/06/17: Dirichlet's Theorem, Liouville's Theorem: https://youtu.be/H2iA5VyHO3k
• Lecture 14: 10/11/17: Weyl's Proof of Kronecker's Theorem: https://youtu.be/wZwawWjT0xI
• Lecture 15: 10/16/17: Hershey Game, Fibonacci numbers are Benford: https://youtu.be/fP-zhIkXMmE
• Lecture 16: 10/18/17: Recurrence Relations, Spacing Preliminaries: https://youtu.be/_B-hOn-VEww
• Lecture 17: 10/23/17: Convergence arguments: https://youtu.be/t2rBb2s-mCc
• Lecture 18: 10/25/17: No Lecture (illness)
• Lecture 19: 10/27/17: No Lecture (illness)
• Lecture 20: 10/30/17: Gaps between independent, uniform random variables: https://youtu.be/mRygXy9nJcM
• Lecture 21: 11/01/17: Review of Eigenvalues: https://youtu.be/v6rUPqZI1KA
• Lecture 22: 11/03/17: Review of Eigenvalues and Eigenvectors II: https://youtu.be/n3ipVnveNKw
• Lecture 23: 11/06/17: Intro to RMT: Video did not record, can watch:  Part I (Classical RMT, Intro L-fns, Dirichlet): http://youtu.be/2PuUbk6gUMM (slides: part 1)
• Lecture 24: 11/08/17: Wigner Semi-Circle Law: Part I: https://youtu.be/PvKZrvnAMAU
• Lecture 25: 11/10/17: Wigner Combinatorics and Catalan Numbers: https://youtu.be/JmXX_N7oYLw
• Lecture 26: 11/13/17: Wigner Combinatorics III: Contributions of Configurations and Moments of Semi-Circle: https://youtu.be/Rzkzho023Hk
• Lecture 27: 11/15/17: Wigner Combinatorics IV, Distribution of Eigenvalues I: https://youtu.be/pJShOxNRGZc
• Lecture 28: 11/17/17: Gaussian Orthogonal Ensemble (Part I): https://youtu.be/sUdbCwrudL8
• Lecture 29: 11/20/17: GOE Joint Density I, Integration Challenge: https://youtu.be/kUtFBg9IeGI
• Lecture 30: 11/25/17: GOE nxn case, Vandermonde Matrices: https://youtu.be/ub4hcv30zpU
• Lecture 31: 11/27/17: Weierstrass continuous but nowhere differentiable function: https://youtu.be/GCCCPGQ2ncE
• Lecture 32: 11/29/17: Uncertainty Principle (from 2013): http://youtu.be/y_AXASHUHE8
• Lecture 33: 12/0417: Isoperimetric Inequality and Green's Theorem: https://youtu.be/6-aO8fT50Ms (Green's theorem in a day: https://www.youtube.com/watch?v=Iq-Og1GAtOQ)

♦ Interesting news articles involving math (see also the course disclaimer about not suing me!)

• Election fraud:
  • Rise and fall of internet election-fraud hunters (Carl Bialik, Wall Street Journal)
  • Statistical sleuthing on the Iran elections (Carl Bialik, Wall Street Journal Blog)
  • Statistical test suggestive of fraud in Iranian elections
• When precision is only 92.11567% accurate (Charles Forelle, Wall Street Journal)
• World record in craps (the casino game!) (S. N. Ethier and Fred M. Hople)
• http://www.sciencenews.org/view/authored/id/43/name/Julie_Rehmeyer

♦ Interesting videos

• TED Lectures:
  • Malcolm Gladwell on spaghetti sauce
  • Dan Pink on Motivation
• Did You Know (2009 version)
• Yes, Prime Minister: Manipulation Polls (YouTube video)

♦ Course disclaimer