MATHEMATICAL MODELS FOR DECISION MAKING

Academic year
2017/2018 Syllabus of previous years
Official course title
MATHEMATICAL MODELS FOR DECISION MAKING
Course code
EM1058 (AF:229700 AR:128380)
Modality
Online
ECTS credits
6
Degree level
Master's Degree Programme (DM270)
Educational sector code
SECS-S/06
Period
1st Term
Course year
2
Where
TREVISO
Moodle
Go to Moodle page
Improving the knowledge of linear systems, linear algebra and the use of matrices and vectors in applications; enhancing practical abilities in the use of the open software R (http://cran.r-project.org/ ) to deal with matrices, vectors and related optimization problems; teaching students to analyze and use some models of decision making mainly based on linear algebra tools.
Students must already know calculus and the basics of matrices and vectors (the course will begin with a reinterpretation of matrix-vector product and definition of linear dependence/independence). There are no prerequisites related to R or programming and no previous experience in decision theory is assumed.
Famous theorems for the solutions of linear systems;
Inverses and pseudo-inverses;
Introduction to the State Preference Model, arbitrage and financial examples;
Optimization (basic topics);
More advanced optimization and eigenvalues/eigenvectors;
Analytic Hierarchical Process (AHP).
There is no formal textbook (but any good treatment of linear algebra would do the job), learning material will be provided online.
oral
There is a test of 10 questions at the end of each unit. Questions are made public in advance and the test can be attempted only once (after the material has been studied). A certificate will be issued to anyone with an average score of 70% or more (on the 6 tests).
Formal credits will be awarded after an oral exam.
The course has 6 learning units (to be covered approximately in 6 weeks) and will be delivered online similarly to what is done with a Massive Open Online Course (MOOC). The courseis open to anyone and a class of students of Ca’ Foscari will work on the material to gain credits for their academic program (with additional studying activities). We expect the forum to be lively and participated by all the students taking the course.
English
Additional information and videos are avalable at http://ok.unive.it/ (click on "Take LineaR Decisions")
  • Lecture notes, material for reference or for self-assessment available online or as e-book
  • Use of virtual forum, blog or wiki
  • E-learning, moodle platforms
  • Use of open-source software
Last update of the programme: 03/07/2017