♦ Lectures from Math/Stat 341: Spring 2015:

• Lecture 01: 2/6/15: Introduction, Course Mechanics, Hedging: http://youtu.be/pVQL4ivA08w
• Lecture 02: 2/9/15: Hoops (and Geometric Series and Game Theory), Birthday Problem: http://youtu.be/dmI9d-w-bM4
• Lecture 03: 2/11/15: Paradoxes, Care with Infinities, Probability Wish List: http://youtu.be/Mg7xZqolBKE
• Lecture 04: 2/13/15: Axioms of Probability, Consequences, Sniffing out Formulas: http://youtu.be/0Rp8KgWmLi0
• Lecture 05: 2/16/15: Factorial Function, Binomial Coefficients, Poker Hands, Pascal's Triangle Mod 2: http://youtu.be/3iLIiZ9pOlo
• Lecture 06: 2/18/15: In Lawrence 231: Probability and Mathematical Modeling I (slides online here): http://youtu.be/VwiX36gkDVI  
• Lecture 07: 2/23/15: In Lawrence 231: Probability and Mathematical Modeling II (slides online here): http://youtu.be/Jnqud_IcfAs    
• Lecture 08: 2/25/15: Trump Splits, Conditional Probability, Bayes' Theorem: http://youtu.be/8fYnAe7NZag
• Lecture 09: 2/27/15: Independence, Derangements, Inclusion-Exclusion, Induction: http://youtu.be/dXBJ5F6pi5U
• Lecture 10: 3/2/15: Basics of pdfs and Random Variables: http://youtu.be/Y4tqpC1pFo8
• Lecture 11: 3/4/15: Review cont/discrete RV, expectation, moments, Cauchy, Taylor:  http://youtu.be/zjwVClO1Zl8
• Lecture 12: 3/9/15: Joint pdfs, linearity of expectation: http://youtu.be/gQzorseWuVc
• Lecture 13: 3/11/15: Linearity of expectation, variances and covariances, power of linearity of expectation, bernoulli and binomial rv: http://youtu.be/OtQqAjBeq-k
• Lecture 14: 3/13/15: CDF Method, Envelope Problem, Marriage Problem: http://youtu.be/wxOlDaA_cGs
• Lecture 15: 3/16/15: Differentiating Identiteis (Geometric Series, GeomRV, Exp RV, Poisson RV): http://youtu.be/4EWY0U7LhX8
• Lecture 16: 3/18/15: Guest Lecturer: William Arms: The Early Years of Academic Computing: http://youtu.be/JoGFR4cDRu0
• Lecture 17: 3/20/15: Differentiating Identities: Binomial Distribution, Negative Binomial Distribution, Gaussian: http://youtu.be/10BwrNXa4qk
• Lecture 21: 4/6/15: Sums of Uniform and Normal Random Variables, Introduction to Gamma Function: http://youtu.be/lBYA2hs_q1U
• Lecture 22: 4/8/15: Gamma Function, Chi-Square Distribution: http://youtu.be/Ckp81hLLxWM
• Lecture 23: 4/10/15: Guest Lecturer: Josh McNutt '99: Math in the NBA (business side): http://youtu.be/osTQa4Utd_g
• Lecture 24: 4/13/15: Introduction to Statistics and Modeling: Video from 2013 version of the talk: https://www.youtube.com/watch?v=gFDly_6qOn4&feature=youtu.be
• Lecture 25: 4/15/15: Markov and Chebyshev's inequalities, Divide and Conquer vs Newton's Method: https://youtu.be/l651t8fYTpM
• Lecture 26: 4/17/15: Stirling's formula (justification, elementary arguments, integral test, Poisson and CLT): http://youtu.be/4KCjy1OsxaI
• Lecture 27: 4/20/15: CLT for random walk of fair coin tosses, intro to generating fns via sums Poisson rvs: http://youtu.be/OpSmk0rGJF8
• Lecture 28: 4/22/15: More on generating functions (examples, algebra) + standardization / change of basis: http://youtu.be/fBMYlrUnnv8
• Lecture 29: 4/24/15: Generating Functions III: Properties of MGF, Poisson and Normal Example, Issues with Interchanging Operators:
  • Video issues: had to redo lecture as recording didn't take: 24 minute version (largest block I could make today b/w meetings): http://youtu.be/Y7NppJoRoxQ
  • Original video attempt: not sure if able to get YouTube to fix it, trying: http://youtu.be/Mr9x1ttIaIQ (NOT optimistic)
• Lecture 30: 4/27/15: CLT for Sums of Poisson RV, CLT in General: http://youtu.be/0ftuzHhrHt0
• Lecture 31: 4/29/15: M&M Game: Memoryless Processes, Geometric Series, Double Recurrences, Hypergeometric, ...:  https://youtu.be/vmBUx0VhoEQ
• Lecture 32: 5/4/15: Monte Carlo Integration, Buffon's needle: http://youtu.be/xdtA0F2NKb0
• Lecture 33: 5/6/16: Complex Analysis Introduction I: http://youtu.be/N0FRN-4neiA
• Lecture 34: 5/8/16: Introduction to Complex Analysis II and Probability: http://youtu.be/SXikiKenyuc
• Lecture 35: 5/11/16: Method of Least Squares: http://youtu.be/_L72XJXxGCc
• Lecture 36: 5/13/16: Benford's law of Digit Bias: http://youtu.be/jvdgvQmHf7E (video might be hard to view: slides here: Theory and applications of Benford's law; as the slides are not viewable you should skim the slides first, or just go forward a slide as you listen to the audio, and that way you'll have a sense of when to advance. You can also watch the version I gave at Brown: video of a version of the talk that I gave at Brown is available here).
• Lecture 37: 5/15/16:  More Sum Than Difference Sets: http://youtu.be/gub8TS11Fr4 (Slides: slides for MSTD set lecture.)

♦ Links to lectures from 2013 (starts with Lecture 10 unfortunately)

♦ 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