
MA3484  Methods of Mathematical Economics
Dr. David R. Wilkins
Lecture Slides

Lecture Material
Mathematical Programming Problems

Lecture 1 (January 19, 2017)

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.

Lecture 2 (January 20, 2017)

This lecture discussed the methodology and conclusions of
a research project analysing transport costs in the Irish
dairy industry.
FiniteDimensional Vector Spaces

Lecture 3 (January 20, 2017)

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

Lecture 4 (January 26, 2017)

Lecture 5 (January 27, 2017)

Lecture 6 (January 27, 2017)

Lecture 7 (February 2, 2017)

Lecture 8 (February 3, 2017)

Lecture 9 (February 3, 2017)

Lecture 10 (February 9, 2017)
The Simplex Method

Lecture 11 (February 10, 2017)

Lecture 12 (February 10, 2017)

Lecture 13 (February 16, 2017)

Lecture 14 (February 17, 2017)

Lecture 15 (February 17, 2017)

Lecture 16 (February 23, 2017)

Lecture 17 (February 24, 2017)

Lecture 18 (February 24, 2017)
Duality and Convexity

Lecture 19 (March 9, 2017)

Lecture 20 (March 10, 2017)

Lecture 21 (March 10, 2017)

Lecture 22 (March 16, 2017)

Lecture 23 (March 23, 2017)

Lecture 24 (March 24, 2017)
 This was devoted to working through a Transportation Problem
example

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)

Lecture 26 (March 30, 2017)
 This completed discussion of the Simplex Method
example using the Simplex Tableau algorithm

Lecture 27 (March 31, 2017)
 This lecture revisited the KarushKuhnTucker 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.