♦ Lectures from Math/Stat 341: Fall 2019:
Lecture 01: 09/06/19: Introduction: https://youtu.be/HIv-HCVUfHM
Lecture 02: 9/9/19: Combinatorics, Birthday Problem, Pentium Bug, QWERTY, Programming, Babylonian Mathematics: https://youtu.be/4fzd-IRV2cE
Lecture 04': 9/13/19: Supplemental: Infinities, Generating Functions, Differentiating Identities: https://youtu.be/TQ20q4yZsho
Lecture 06: 9/18/19: Probability and Mathematical Modeling I (slides online here): https://youtu.be/T-35mhZioeo
Lecture 07: 9/20/19: Probability and Mathematical Modeling II (slides online here): https://youtu.be/ZGM6be90XqA
Lecture 08: 9/23/19: Card Shuffling (Guest Lecturer Francis Su): https://youtu.be/L_VTwdyyzUU
Lecture 10: 9/27/19: Independence, Derangements, Inclusion-Exclusion, Induction: https://youtu.be/lJKSKEUZ69k
Lecture 11: 9/30/19: Basics of pdfs and Random Variables: https://youtu.be/sn-hypa9tRY (coding: https://youtu.be/sSgjBysixdQ; code file here, pdf here)
Lecture 12: 10/02/19: Review cont/discrete RV, expectation, moments, Cauchy, Taylor: https://youtu.be/fCQlNOiHolU
Lecture 13: 10/04/19: No class
Lecture 14: 10/07/19: Joint pdfs, linearity of expectation: https://youtu.be/6Yr5rTSoQrQ (2015 lecture with detailed joint PDF example: http://youtu.be/gQzorseWuVc)
Lecture 15: 10/09/19: Introduction to Statistics and Modeling: https://youtu.be/9iqLKlL-KHY (slides here)
Lecture 16: 10/11/19: Mountain Day
Lecture 17: 10/14/19: Reading Period
Lecture 18: 10/16/19: Simpson's paradox, Ace of Hearts method: https://youtu.be/-on_cFHW66g (slides here)
Lecture 19: 10/18/19: Linearity of expectation, variances and covariances, power of linearity of expectation, bernoulli and binomial, convolution: https://youtu.be/WdITkk5zac0
Lecture 20: 10/21/19: Marriage Problem, Two Envelope Problem, Buffon's Needle: https://youtu.be/-36UUC_oPUs (see http://youtu.be/wxOlDaA_cGs for two envelope problem: 18mins to 19:30mins)
Lecture 21: 10/23/19: Differentiating Identiteis (Gaussian, Exponential, Geometric, Negative Binomial): https://youtu.be/T3PwM91_YaY
Lecture 22: 10/25/19: No class:
Lecture 23: 10/28/19: Sums of Uniform Random Variables, Sums of Gaussian Random Variables, Cauchy Distribution, Gregory-Leibnitz Formula: https://youtu.be/N0ye_W-2MD4
Lecture 24: 10/30/19: Pythagoras, Gamma Function, Chi-Square Distribution, Surface Area: https://youtu.be/X9Ujt8oicAI
Lecture 25: 11/01/19: Markov and Chebyshev's inequalities, Divide and Conquer vs Newton's Method: https://youtu.be/vuKCrS2on9Q
Lecture 26: 11/04/19: Poisson Random Variables, Exponential Function, Stirling's Formula, Dyadic Decomposition, CLT to Stirling: https://youtu.be/_-aGxDkNLHY
Lecture 27: 11/06/19: CLT for random walk of fair coin tosses, intro to generating fns via sums Poisson rvs: https://youtu.be/kVBIVl9uDTU
Lecture 28: 11/08/19: Generating Functions and Moment Generating Functions: https://youtu.be/GxohirsuMfM (didn't do standardization / change of basis)
Lecture 29: 11/11/19: M&M Game: Memoryless Processes, Geometric Series, Double Recurrences, Hypergeometric, ...: https://youtu.be/vmBUx0VhoEQ
Lecture 30: 11/13/19: Generating Functions III: Properties of MGF, Poisson and Normal Example, Poisson to CLT: video didn't record, last year didn't record, 24 minute version: http://youtu.be/Y7NppJoRoxQ
Lecture 31: 11/15/19: No Class
Lecture 32; 11/18/19: Method of Least Squares: http://youtu.be/_L72XJXxGCc
Lecture 33: 11/20/19: Proof of the CLT: https://youtu.be/4m77G15eINk
Lecture 34: 11/22/19: German Tank Problem: Yale University, September 27, 2019. pdf (video: https://youtu.be/nZJUbwC_bTw).
Lecture 35: 11/25/19: Coding examples: https://youtu.be/WX8PScrb8oM
♦ Lectures from Math/Stat 341: Fall 2018:
Lecture 01: 09/07/18: Introduction: https://youtu.be/BCVNDfUKm7I
♦ Lectures from Math/Stat 341: Spring 2015:
♦ Links to lectures from 2013 (starts with Lecture 10 unfortunately)
♦ Interesting news articles involving math (see also the course disclaimer about not suing me!)
♦ Interesting videos
♦ Course disclaimer