Subject: Mathematics
Credit units: 3
Offered: Either Term 1 or Term 2
Weekly hours: 3 Lecture hours and 1 Practicum/Lab hours
College: Arts and Science
Department: Mathematics and Statistics

Description

This course introduces the fundamentals of mathematical optimization methods, centering around linear programming. Topics include formulating real-life problems (such as production planning, inventory, shortest path and assignment problems) as linear programs, the simplex algorithm, geometry of feasible regions and optimal solutions, duality theory and complementary slackness conditions. Tools relating linear and integer programs such as Gomory cuts and branch-and-bound methods, as well as applications in game theory, will also be discussed.

Prerequisite(s): MATH 163.3; and MATH 164.3 or MATH 266.3.

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