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MA3484 - Methods of Mathematical Economics
Dr. David R. Wilkins
Lecture Slides
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Lecture Material
Mathematical Programming Problems
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Lecture 1 (January 19, 2017)
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This lecture began with a verbal presentation regarding the
objectives and methods of the module, followed by a discussion
of a simple linear programming problem discussing an idealized
furniture retailing scenario.
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Lecture 2 (January 20, 2017)
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This lecture discussed the methodology and conclusions of
a research project analysing transport costs in the Irish
dairy industry.
Finite-Dimensional Vector Spaces
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Lecture 3 (January 20, 2017)
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This lecture discussed and proved some results in linear
algebra relating to linear independence, spanning sets,
bases and dual spaces particular relevant
to linear programming problems.
The Transportation Problem
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Lecture 4 (January 26, 2017)
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Lecture 5 (January 27, 2017)
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Lecture 6 (January 27, 2017)
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Lecture 7 (February 2, 2017)
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Lecture 8 (February 3, 2017)
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Lecture 9 (February 3, 2017)
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Lecture 10 (February 9, 2017)
The Simplex Method
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Lecture 11 (February 10, 2017)
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Lecture 12 (February 10, 2017)
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Lecture 13 (February 16, 2017)
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Lecture 14 (February 17, 2017)
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Lecture 15 (February 17, 2017)
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Lecture 16 (February 23, 2017)
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Lecture 17 (February 24, 2017)
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Lecture 18 (February 24, 2017)
Duality and Convexity
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Lecture 19 (March 9, 2017)
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Lecture 20 (March 10, 2017)
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Lecture 21 (March 10, 2017)
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Lecture 22 (March 16, 2017)
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Lecture 23 (March 23, 2017)
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Lecture 24 (March 24, 2017)
- This was devoted to working through a Transportation Problem
example
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Lecture 25 (March 24, 2017)
- This was devoted to working through a Simplex Method
example using the Simplex Tableau algorithm (continued on
March 30, 2017)
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Lecture 26 (March 30, 2017)
- This completed discussion of the Simplex Method
example using the Simplex Tableau algorithm
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Lecture 27 (March 31, 2017)
- This lecture revisited the Karush-Kuhn-Tucker Theorem
(Lecture 23) and the Strong Duality Theorem (Lecture 22)
Back to D.R. Wilkins: MA3484
Back to D.R. Wilkins: Lecture Notes
Dr. David R. Wilkins,
School of Mathematics,
Trinity College Dublin.