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Course Description
This course is designed to assist you to master the basic concepts of Optimization and how to use technology to analyze. This course is intended for undergraduate students who have taken a one year course in calculus. The course is an introduction of optimization techniques in Management Science. The core topics in this course are
• Linear programming (graphical solutions)
• Linear programming (computer solutions)
• Integer programming
• Nonlinear programming
Emphasis will be placed on modeling and computer solutions.
MAT 345 OPTIMIZATION COURSE OUTLINE
1. Introduction
(a) Examples of optimization problems
(b) Terminology
(c) Standard maximum and minimum problems
(d) Matrices and systems of linear equations
2. Linear programming model formulation and graphical solution
3. The Simplex Method
(a) Simplex tableau
(b) Duality
4. Linear programming: computer solution and sensitivity analysis
5. Integer programming
6. Nonlinear programming
(a) Non-constrained single variable nonlinear objective functions: Method of derivatives
(b) Partial Derivatives
(c) Constrained nonlinear programming problems: Method of Lagrange’s Multipliers
7. Nonlinear programming problems: Computer Solution
8. Profit analysis
9. The transportation problem: Finding a basic feasible shipping schedule
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