Pre-Master's Foundation Programme in Applied Mathematics
University of L'Aquila (UAQ), Italy
Overview: “Pre-Master’s Foundation Programme in Applied Mathematics”
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)
Campus
Dates
Delivery Mode
ECTS Credits
Language
Part 1
| ECTS Credits: 3 | Dates: July 18 – August 5, 2022 | Delivery: Online | Taught hours: 18 | Language: English
Unit Coordinator: Carmela Scalone
Content:
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
ECTS Credits: 3 | Dates: February 28 - March 16, 2023 | Delivery: Blended | Taught hours: 18 | Language: English
Unit Coordinator: Antonio Cicone
Content:
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.