Mathematical Modelling and Programming

Academic year
2021/2022 Syllabus of previous years
Official course title
Mathematical Modelling and Programming
Course code
PHD141 (AF:364618 AR:193159)
Modality
On campus classes
ECTS credits
6
Degree level
Corso di Dottorato (D.M.45)
Educational sector code
MAT/08
Period
1st Semester
Course year
1
Where
VENEZIA
Moodle
Go to Moodle page
This course will provide the formal tools of basic mathematics, with particular reference to linear algebra, and application in R language. Subsequently, the course will consider element of system dynamics and applications.
1. Knowledge and understanding:
a.1) Ability to understand the basic elements of calculus and of linear algebra (vectors, matrices, linear systems)
a.2) Ability to understand the basic elements of System Dynamics

2. Applying knowledge and understanding:
b.1) Ability to solve real world problems with calculus and linear algebra tools
b.2) Ability to build and analyze static dynamic models of real world phenomena

3. Making judgements
c.1) Ability to evaluate limits and potentiality of mathematical models
Set theory. Basic algebra and analytic geometry. Equations and disequalities. It is remarkable that Students cannot ignore fundamental of calculus, as functions and their properties, limits, derivatives, monotonicity, convexity, optimization, and elements of integral calculus, vectors and matrices (at least the basic elements). IT IS MANDATORY THAT THE STUDENT AT THE BEGINNNG OF THE COURSE KNOW THIS ARGUMENTS.
Operations with vectors and matrices, in particular determinant, rank, inverse matrix
Linear systems
Eigenvalues and eigenvectors
Elements of R language
Linear Systems theory with particular reference to discrete time systems
Solution of linear systems
Elements of nob linear systems
Stability of linear systems
Element of several variable functions
Required readings
Material distributed by the Lecturer during the seminars and some recommended books (which will be specified during the course)
Recommended readings
Some books will be recommended during the course
R statistical software https://www.r-project.org/
Tests during the course. Possible final exam and/or Student's presentation.
Traditional with slides. Student's presentation.
English
Attendance is required. Daily preparation is also required; suitable tests during the course will constitute part of the exam.
written

This subject deals with topics related to the macro-area "Climate change and energy" and contributes to the achievement of one or more goals of U. N. Agenda for Sustainable Development

Goal 7: affordable and clean energy
Goal 13: climate action
Definitive programme.