Take lineaR decisions

Start: September 18, 2017

Enrollment opens: September 4, 2017


Paolo Pellizzari
      Full professor of Mathematical Methods for Economics and Social Sciences at the Dept. Of Economics of Ca’ Foscari University in Venice. His research fields include computational economics and finance, agent-based models, complexity and Monte Carlo simulation.

Course objectives

The course aims at:
  • 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.

How the course is organized

    The course has 6 learning units (to be covered approximately in 6 weeks):
    1. Famous theorems for the solutions of linear systems
    2. Inverses and pseudo-inverses
    3. The State Preference Model, replication and arbitrage
    4. Optimization (basic and more advanced topics)
    5. Eigenvalues and eigenvector - Introduction to AHP
    6. Decisions with AHP (Analytic Hierarchic Process)


    Students in economics, sciences, IT and engineering but also professionals and general public (with adequate analytic skills) interested in formal decision-making, linear algebra and computational tools.
    The MOOC is 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.


    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.

How my progress will be tracked

    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).

Ultime modifiche: martedì, 5 settembre 2017, 14:19