♦ Videos of Operations Research lectures from Fall 2022.
Lecture 03: 9/14/22: Linear Algebra Review (especially conic sections): https://youtu.be/YPUHL-ayNz8
Lecture 04: 9/16/22: Eigenvalues, Eigenvectors, Fibonacci, Binomial Coefficients, Gamma Function, Dimension: https://youtu.be/RHHsjvlGGiM (this is a review video - you can skip around if you are comfortable with the material! it is linear algebra/eigenvalues... up to about 26 minutes (bad internet and cannot check well). the rest is on binomial coefficients, pascal's triangle). Then watch: Euclidean Algorithm: https://youtu.be/w4AsGjOa55I There is a bonus lecture on look-up tables: https://youtu.be/EsQGxTwTNrQ
Lecture 05: 9/19/22: Method of Descent, Finding Extrema and Diet Problem: https://youtu.be/PUeEprEjfyA
Lecture 06: 9/21/22: Canonical Forms, Fundamental Theorem of Calculus: https://youtu.be/Wv7zbtAwr-k (pre-recorded from 2019)
Lecture 07: 9/23/22: Canonical Problem, Dual Problems, Chess Problem: https://youtu.be/yG6wcFagmww
Lecture 08: 9/26/22: Sperner and Rental Harmony: Special Guest Francis Su: https://youtu.be/y3f0img9pRE
Lecture 09: 9/28/22: Basic Feasible and Basic Optimal Solutions: https://youtu.be/EqYEvjXsOPM
Lecture 10: 9/30/22: Basic Optimal Solutions, Euclid-Mullin Sequence, Introduction to the Simplex Method: https://youtu.be/xW0CMpElzjs
Lecture 11: 10/3/22: Dimension, Divide and Conquer, Newton's Method: https://youtu.be/MlPo6Nc6c0o (slides here)
Lecture 12: 10/5/22: Phase I and II of the Simplex Method: https://youtu.be/cU2SymsC-mI
Lecture 13: 10/7/22: Introduction to Integer Programming: https://youtu.be/k4Iy_lPnOEA
Lecture 14: 10/10/22: No Class: Reading Period
Lecture 15: 10/12/22: Integer Programming II (Including Knapsack Problem): https://youtu.be/d5E77XI_8dw
Lecture 16: 10/14/22: Mountain Day (save for later: Discussing maximizing product a_1 * ... * a_n given a_i non-neg and sum to S.... https://youtu.be/PW4HPLJp_8U )
Lecture 17: 10/17/22: Linearization I: https://youtu.be/u2aWIvD4G6E
Lecture 18: 10/19/22: Fixed Points, Contraction Maps: https://youtu.be/NlT1s3x1h9U
Lecture 19: 10/21/22: No class - take home exam - due Monday Oct 31st
Lecture 20: 10/24/22: Multiple Objective, Linearizing Polynomials: https://youtu.be/Sfoa2wsK1eU
Lecture 21: 10/26/22: Traveling Salesman Problem, Battleship: https://youtu.be/hSNgIL6nMTg
Lecture 22: 10/28/22: Review Day: Discussing maximizing product a_1 * ... * a_n given a_i non-neg and sum to S.... https://youtu.be/PW4HPLJp_8U
Lecture 23: 10/31/22: IVT, MVT, Chomp Game, Triangle and Line Game: https://youtu.be/Dz2UC47Dxjw
Lecture 24: 11/2/22: Barycentric Coordinates, Fixed Point Theorem: https://youtu.be/foSW396vntE
Lecture 25: 11/4/22: BIC: Ag Tech Innovation: Exploring Current and Upcoming Technologies in Agriculture: https://youtu.be/dsUqndL7kao
Lecture 26: 11/7/22: Analysis for Fixed Point Theorems: https://youtu.be/a1mtqb7BfUk
Lecture 27: 11/9/22: German Tank Problem: Hampshire College: July 8, 2019: pdf (https://youtu.be/IOcI2c3QQbw)
Lecture 28: 11/11/22: No class: work on topic choice for class presentation
Lecture 29: 11/14/22: Gale-Shapely: https://youtu.be/U9Hg7Up5gzM
Lecture 30: 11/16/22: Proof of Gale-Shapely: https://youtu.be/nkb2sR9Ea1A
Lecture 31: 11/18/22: Stirling's Formula: https://youtu.be/v_Md2bpxRfc
Lecture 32: 11/21/22: Discussion for Class Presentations
Lecture 33: 11/28/22: Simpson's Rule (student talk)
Lecture 34: 11/30/22: Nash Equilibria (student talk): https://youtu.be/dtsJ9mfNVcU
Lecture 35: 12/02/22: No class (midterm II)
Lecture 36: 12/05/22: Dimers and Generating Functions: https://youtu.be/jR1W6ez6AXs
Lecture 37: 12/07/22: Crypto I (after bitcoin lecture): https://youtu.be/KdSyTYYy4BY
Lecture 38: 12/09/22: Crypto II: https://youtu.be/7u34pwdFVS8
Presentations:
Letters of rec
♦ Videos of Operations Research lectures from Fall 2019.
Lecture 03: 9/11/19: Eigenvalues, Eigenvectors, Fibonacci, Binomial Coefficients, Gamma Function, Dimension: https://youtu.be/RHHsjvlGGiM
Lecture 05: 9/16/19: Method of Descent, Finding Extrema and Diet Problem: https://youtu.be/Kz5ZATifwPI (2016 lecture)
Lecture 06: 9/18/19: Canonical Forms, Fundamental Theorem of Calculus: https://youtu.be/Wv7zbtAwr-k
Lecture 07: 9/20/19: Dual Problems, Chess Problem: https://youtu.be/GTuYxC9kYlg
Lecture 08: 9/23/19: Sperner and Rental Harmony: Special Guest Francis Su: https://youtu.be/y3f0img9pRE
Lecture 09: 9/25/19: Basic Feasible and Basic Optimal Solutions: https://youtu.be/u42VvZUZS-k
Lecture 10: 9/27/19: Basic Optimal Solutions, Euclid-Mullin Sequence, Introduction to the Simplex Method: https://youtu.be/Fk5D2JLtfto
Lecture 11: 9/30/19: Phase I of the Simplex Method, Divide and Conquer vs Newton's Method, Chess Problem: https://youtu.be/A_kU6QGVRvk
Lecture 12: 10/02/19: Phase II of the Simplex Method, Queen Problem: https://youtu.be/5pR4yhUbx6U
Lecture 13: 10/04/19: Introduction to Integer Programming: https://youtu.be/sYQ_xLmTGM8; papers: newsletter of the European Marketing Academy (summary) Silver-Scheduler paper (main)
Lecture 14: 10/07/19: Binary Integer Programming: Movie Theaters: https://youtu.be/sYQ_xLmTGM8
Lecture 15: 10/09/19: Yom Kippur - no lecture, use the time to
Lecture 16: 10/11/19: Mountain Day - no lecture
Lecture 17: 10/14/19: Reading Period: No Class
Lecture 18: 10/16/19: Linearization I: https://youtu.be/L8oU7-0y7kQ
Lecture 19: 10/18/19: Integer Constraints, Integer Optimization, Knapsack Problem: https://youtu.be/rZZkfEHZWXU
Lecture 20: 10/21/19: Mono-variants, Fixed Points, Contraction Maps: https://youtu.be/fZAQf0iH8I8 (changed order as have a guest)
Lecture 21: 10/23/19: Multiple Objective, Vandermonde Determinants, Linearizing Polynomials: https://youtu.be/t6eBC43jx4U
Lecture 22: 10/25/19: No class: Midterm
Lecture 23: 10/28/19: Traveling Salesman Problem, Battleship: https://youtu.be/c5GEXuUepC8
Lecture 24: 10/30/19: IVT, MVT, Chomp Game, Triangle and Line Game: https://youtu.be/SBlQbQBnOLM
Lecture 25: 11/01/19: Sperner's Lemma, Transcendental Numbers, Bolzano-Weierstrass: https://youtu.be/m9ZjLUhnklM
Lecture 26: 11/04/19: Barycentric Coordinates, Fixed Point Theorem: https://youtu.be/q54Nz86rhCg
Lecture 27: 11/06/19: Analyzing Free Flow via Linear Programming: https://youtu.be/5TmLQpts_jg
Lecture 28: 11/08/19: Modeling a Company: https://youtu.be/dFeQkE5p8a8
Lecture 29: 11/11/19: German Tank Problem: Hampshire College: July 8, 2019: pdf (https://youtu.be/IOcI2c3QQbw)
Lecture 30: 11/13/19: Tomography and Steganography: https://youtu.be/HX6JOfIW9bw
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: Gale-Shapley: https://youtu.be/CBhzj3pH5_8 and first 28.5 minutes of https://youtu.be/I-CkX-dLysw
Lecture 34: 11/22/19: Rent Problem, Divorce Problem: https://youtu.be/qIVEjIr64jY
Lecture 35: 11/25/19: Error Detection, Error Correction: https://youtu.be/YOs8QYU3Wq8
♦ Videos of Operations Research lectures from Fall 2016.
♦ Videos of Operations Research lectures from Fall 2014.
Lecture 01 (9/5/14): Class mechanics: http://youtu.be/6iQNvVAb7Ss
Lecture 02 (9/8/14): Horner to Strassen: http://youtu.be/qMwnsJQInrg
Lecture 03 (9/10/14): Pascal's triangle, Dimension, Look-up tables: http://youtu.be/2TdKJ7-6veA
Lecture 04 (9/12/14): Fourth Class (via YouTube): https://www.youtube.com/watch?v=XwnzWOc3_-0&feature=youtu.be
Lecture 05 (9/15/14): Fifth Class: Motivation by Euclidean Algorithm: http://youtu.be/bFXqT4Uv_mU
Lecture 06 (9/17/14): Sixth Class: Introduction to Linear Programming: Diet Problem: http://youtu.be/1VXCqKocFgU
Lecture 07 (9/19/14): Eighth Class: Canonical Form, Start of the Oil Problem: http://youtu.be/1dE5tfqBRL0
Lecture 08 (9/22/14): Ninth Class: Duality, Tic-Tac-Toe, Linear Algebra Review: http://youtu.be/Mw9G5K6RW4M
Lecture 09 (9/24/14): Tenth Class: Jana Hunkler, Berkshire Rides: http://youtu.be/qeXXg-H92o8
Lecture 10 (9/26/14): Eleventh Class: Linear Independence, Basic Feasible Solutions: http://youtu.be/jhEBZgInICs
Lecture 11b (9/29/14): Optimal implies Basic Optimal, Euclidean Algorithm: http://youtu.be/kjoTUjWdAWA (video failed to take, redid in office)
Lecture 12 (10/1/14): Simplex Method, Statement and Phase II gives us Phase I: http://youtu.be/147DOjkPF4s
(10/3/14): No class b/c of Mountain day
Lecture 13 (10/6/14): Guest lecture from Berkshire Regional Transit Authority available here: http://youtu.be/KpnfJwGshII
Lecture 14 (10/8/14): Proof of Phase II of the Simplex Method: http://youtu.be/qakmpw6DeXQ
Lecture 15 (10/10/14): Presentation from MGRHS about problems: http://youtu.be/PONU_t0QCF8
Lecture 16 (10/15/14): Integer Linear Programming, Movie Example: http://youtu.be/G3ic6tVycEM
Lecture 17 (10/17/14): Linearizing functions: http://youtu.be/TPDlEMpXBjg
Lecture 18 (10/20/14): Linearizing functions: http://youtu.be/EnCeqC7qs7w
Supplemental Lecture: Simplex Method Example: Part I (http://youtu.be/v0tzbA0vwxM) and Part II (http://youtu.be/CvyOpydExKc)
Lecture 19 (10/22/14): Multi-objective Programming, Quadratic Programming: http://youtu.be/i_grpLjYby0
Lecture 20 (10/24/14): Traveling Salesman Problem: http://youtu.be/h7eyvkUOGk4
Lecture 21 (10/27/14): Visit to WCMA: http://youtu.be/cFB6GFRnMEM
Lecture 22 (10/29/14): TSP (Greedy Algorithm, Insertion, Splitting into Sub-Problems, Run-time analysis): http://youtu.be/xGwHrIQVdaQ
Lecture 23 (10/31/14): Fair Division, Newton's Method vs Divide and Conquer, Contraction Maps: http://youtu.be/93qA8qDREp0
Lecture 24 (11/3/14): Contraction maps, basics of limits, Cauchy criteria, constructive vs non-constructive: http://youtu.be/L0_ZddZTxS4
Lecture 25 (11/5/14): Contraction maps and solving first order differential equations, introduction to Sperner's lemma: http://youtu.be/fso52yaDP78
Lecture 26 (11/10/14): Barycentric Coordinates, Simplices, Topological equivalences, Idea of the proof of Sperner's Lemma: http://youtu.be/0k-lco_-Z58
Lecture 27 (11/12/14): Proof of Sperner's Lemma: http://youtu.be/xLn4tTD1br0
Lecture 28 (11/14/14): Proof of Sperner's Lemma by Strong Induction in 1-Dim, applications to Rental Harmony and Fair Division: http://youtu.be/Rfd9P6qnz3Y
Lecture 29 (11/17/14): Programming Intro: Part I: http://youtu.be/UDfSgk1fYEI Part II: http://youtu.be/l7TBkJxPrEE
Lecture 30 (11/19/14): Programming Intro: Part II: http://youtu.be/E8QDbjAjjQU
Lecture 31 (11/21/14): Programming Part III: Mathematica and Linear Programming: http://youtu.be/zI_5yAgTMko
Lecture 32 (11/24/14): Issues with parameters, Gale-Shapley: http://youtu.be/1fT5V1cbBMQ
Lecture 33 (12/05/14): Summary of course, battleship problem: http://youtu.be/jIMkL1kfKIs
♦ Videos of Linear Programming Lectures from a half-credit I taught at Mount Holyoke College in Spring 2012.
♦ Interesting news articles involving math (see also the course disclaimer about not suing me!)
♦ Interesting videos
♦ Course disclaimer