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Linear Optimization

Linear Optimization

Glenn Hurlbert
June 25-29, 2008
MAA Carriage House
Washington, DC

Registration Fee: $325 by May 14, $450 after

Linear Optimization is an established field of applied mathematics typically taught to engineers and business students. However, it is also a rich and exciting subject of pure mathematics with a long and storied history containing fertile ideas that connect it with many branches of mathematics, including lin­ear algebra, geometry, probability, combinatorics, algo­rithms, computing, game theory, economics, graph theory, and modeling.

Because of its breadth and both pure and applied nature, the topic can be used as a kind of capstone or honors project course as well as a standard course. Moreover, with current technology, students armed only with half a typical linear algebra course under their belts can be led to discover the main theorems of the subject, making Linear Optimization useful as an introduction to proofs course as well. Some of its applications to geometry and game theory are downright fun, as we’ll see.

By the end of the workshop, participants will be ready to teach a full-semester course to undergraduates in mathematics, engineering, and business, as well as to include parts of the subject in other courses as supplemental material, research projects, or honors theses. They will also be ready to try innovative teaching methods in their class, including the use of various technologies, software, and inquiry-based approaches.

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