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On Friday, March 1st, we enjoyed demonstrations from
three faculty who have been teaching asynchronously with the interactive
video learning tool PlayPosit. We were joined by some
teaching…
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Continuation of modern geometric descriptions of polyhedrons. Included are definitions of convex polyhedron, half spaces, hyperplanes, affine dimension, and some connections to Linear Programming.
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Introduction to (modern) Polyhedral Geometry. This lecture defines convex sets and polyhedra and proves a few statements about convex sets and polyhedra.
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High level overview of the simplex method. A proof of correctness for optimality from the simplex method. Introduction to the two phase simplex method.
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Simplex method computations with a discussion of dictionaries and corresponding solutions.
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Terminology and notation for the simplex method. Dictionaries, basis, slack variables, basic feasible solutions and the relationship between these. Certification of results in terms of the objective…
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Traveling Salesman problem formulation continued. Discussion of non-negative multipliers, redundant (in)equalities, and their relationship.
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MAT 168 Winter 2024, Lecture 2 - modeling problems in optimization.
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Math 168 Lecture 1, Given on Jan 8th 2024. This lecture gives an introduction to optimization problems and the field of optimization.
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Tuesday, November 28, 2023
Jackson Hall, Mondavi Center
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