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    MA3484 - Methods of Mathematical EconomicsDr. 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)
   
  
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   Dr. David R. Wilkins,
   School of Mathematics,
   Trinity College Dublin.