Pre-Master's Foundation Programme in Applied Mathematics

University of L'Aquila (UAQ), Italy

Overview: “Pre-Master’s Foundation Programme in Applied Mathematics”

The Pre-Master's Foundation Programme (PMFP) in Applied Mathematics aims at homogenising the competencies portfolios of prospective students of the two Master's Programmes in Mathematical Modelling and Mathematical Engineering at the University of L'Aquila, which include the Erasmus Mundus programme "InterMaths - Interdisciplinary Mathematics", the joint Master's programme "MathMods", and the "InterMaths" Double Degree programme.

Depending on the student's undergraduate study programmes and on the education system in their country of origin, students enrolling in these three programmes may feature very diverse set of skills in disciplines that characterise these Master's programmes. The PMFP in Applied Mathematics is designed to address this issue by covering specific competencies in both theoretical mathematics (Real Analysis and Linear Algebra) and computer programming. As for theoretical mathematics, the main goal of the PMFP is bridging the gap between "calculus" and "real analysis", a typical issue arising quite often for prospective MSc students with a very "applied" background.

The PMFM will include very basic topics of real analysis enabling the students to deal with infinitesimal calculus with a rigorous "real analysis" perspective (including the use of rigorous mathematical proofs). On the other hand, students with a strong "theoretical" background sometimes lack basic programming and computational skills. Hence, the PMFP provides a basic introduction to computer programming and in particular to the computing environment "MATLAB", which is widely used in the numerical analysis courses of the MSc programmes mentioned above.

Course units 2022 :: Pre-Master's Foundation Programme in Applied Mathematics (PMFP-AM)


University of L'Aquila


July - April

Delivery Mode

Online and/or Blended

ECTS Credits




Part 1

Introduction to Numerical Linear Algebra

   |   ECTS Credits: 3   |   Dates: July 18 – August 5, 2022   |   Delivery: Online   |   Taught hours: 18   |   Language: English

Unit Coordinator: Carmela Scalone


Linear spaces, linear dependence, bases of a linear space, dimension of a linear space, linear subspaces.

Matrices, basic operations with matrices, change of coordinates, determinants, rank. A brief account on linear systems and Gauss elimination.

Diagonalisation of squared matrices, eigenvalues, eigenvectors. Inner products, bilinear forms and quadratic forms.

Part 2

Introduction to MATLAB

ECTS Credits: 3   |   Dates: February 28 - March 16, 2023   |   Delivery: Blended   |   Taught hours: 18   |   Language: English

Unit Coordinator: Antonio Cicone


The MATLAB environment, Basic computer programming, Variables and constants, operators and simple calculations, Formulas and functions. MATLAB toolboxes.

Matrix and linear algebra review, Vectors and matrices in MATLAB, Matrix operations and functions in MATLAB.

Algorithms and structures, MATLAB scripts and functions (m-files), Simple sequential algorithms, Control structures (if...then, loops).

Reading and writing data, file handling, Personalized functions, MATLAB graphic functions. Interactive hands-on-sessions.

Schedule of lectures

Online classes will be conducted on MS Teams, where class materials will be made available for students, too.
Once you've signed in on MS Teams, you will find a list of all the forthcoming classes under the "Posts" tab or alternatively, in your own calendar, as shown in the screenshots below. Class materials (lectures notes, video recordings etc.) are available for downloading under the "Files" tab, instead.
Join online classes from the "Posts" tab
Join online classes from your own calendar
Do not start your own meeting!
Download Class Materials
InterMaths Network
A network of 12 European Universities, coordinated by Department of Information Engineering, Computer Science and Mathematics (DISIM) at University of L'Aquila in Italy (UAQ)