Mathematical Methods of Operations Research

Survey of linear and nonlinear programming; mathematics of optimization; queues; simulation.

Week 1 (1/12 - 1/16)

Monday Wednesday Friday
  • What is Mathematical Modeling (OR)?
  • Notes
  • Linear Programming
  • Notes
  • The Standard Form and the Dual
  • Notes

Week 2 (1/19 - 1/23)

Monday Wednesday Friday
  • MLK Day
  • Simplex: Geometric Viewpoint
  • Notes
  • Simplex: Algebraic Viewpoint
  • Notes

Week 3 (1/26 - 1/30)

Monday Wednesday Friday
  • Workshop
  • Simplex: Infeasibility and Unboundedness
  • Notes

Week 4 (2/2 - 2/6)

Monday Wednesday Friday
  • Convex sets, Polyhedra, and Extreme Points
  • Notes
  • Geometry of Feasible Regions
  • Notes

Week 5 (2/9 - 2/13)

Monday Wednesday Friday
  • Exam I
  • Primal-Dual Relationship
  • Notes
  • Slackness Conditions
  • Notes

Week 6 (2/16 - 2/20)

Monday Wednesday Friday
  • Optimal Certificates
  • Notes
  • Matrices and Dictionaries
  • Notes

Week 7 (2/23 - 2/27)

Monday Wednesday Friday
  • Simplex Phases and Advantages
  • Notes

Week 8 (3/2 - 3/6)

Monday Wednesday Friday
  • More Network Problems
  • Notes
  • Exam II

Week 9 (3/9 - 3/13)

Monday Wednesday Friday
  • Spring Break
  • Spring Break
  • Spring Break

Week 10 (3/16 - 3/20)

Monday Wednesday Friday

Week 11 (3/23 - 3/27)

Monday Wednesday Friday

Week 12 (3/30 - 4/3)

Monday Wednesday Friday
  • Integer Certificates
  • Notes
  • Linear Ordering Problem
  • Notes

Week 13 (4/6 - 4/10)

Monday Wednesday Friday
  • Quadratic Programming
  • Notes

Week 14 (4/13 - 4/17)

Monday Wednesday Friday
  • Gradient and Hessian
  • Notes
  • Gradient Descent Methods
  • Notes

Week 15 (4/20 - 4/24)

Monday Wednesday Friday
  • Numerical Conditioning
  • Notes
  • Exam III

Week 16 (4/27 - 5/1)

Monday Wednesday Friday
  • Research Day
  • Research Day
  • Research Day