To finalize your enrolment, you'll then have to submit your translated and legalized qualifications, which include, depending on the case, ONE of the following:
ECTS Credits: 6 | Semester: 1 | Year: 1 | Programme: Erasmus Mundus | Campus: University of L'Aquila | Language: English
Unit Coordinator: Corrado Lattanzio
Students will know basic of properties (existence, uniqueness, etc.) and techniques (characteristics, separation of variables, Fourier methods, Green's functions, similarity solutions, etc.) to solve basic PDEs (conservation laws, heat equation, Laplace equation, wave equation).
Semilinear first order PDE's. Method of characteristics. Partial differential equations of second order. Classification, canonical forms. Well posed problems, IBV problems. The heat equation. Derivation, maximum principle, fundamental solution. Laplace's and Poisson's equations. Maximum principle, fundamental solution and Green's functions. The wave equation. One dimensional equation, fundamental solution and D'Alembert formula. Fundamental solution in three dimensions and strong Huygens' principle, Kirchoff’s formula. Method of descent and solution formula in two dimensions.
ECTS Credits: 6 | Semester: 1 | Year: 1 | Programme: Erasmus Mundus, Double Degrees | Campus: University of L'Aquila | Language: English
Unit Coordinator: Bruno Rubino
Aims: The course is intended to introduce and develop an understanding of the concepts in nonlinear dynamical systems and bifurcation theory, and an ability to analyze nonlinear dynamic models of physical systems. The emphasis is to be on understanding the underlying basis of local bifurcation analysis techniques and their applications to structural and mechanical systems.
Content: Review of: first-order nonlinear ODE, first-order linear systems of autonomous ODE. Local theory for nonlinear dynamical systems: linearization, stable manifold theorem, stability and Liapunov functions, planar non-hyperbolic critical points, center manifold theory, normal form theory. Global theory for nonlinear systems: limit sets and attractors, limit cycles and separatrix cycles, Poincaré map. Hamiltonian systems. Poincaré-Bendixson theory. Bifurcation theory for nonlinear systems: structural stability, bifurcation at non-hyperbolic equilibrium points, Hopf bifurcations, bifurcation at non hyperbolic periodic orbits. Applications.
Pre-requisites: Ordinary differential equations
Reading list: Lawrence Perko, Differential equations and dynamical systems, Springer-Verlag, 2001
ECTS Credits: 9 | Semester: 1 | Year: 1 | Programme: Double Degrees | Campus: University of L'Aquila | Language: English
Unit Coordinator: Rosella Sampalmieri, Corrado Lattanzio
• Numerical Sequences and Series
The topology of real numbers, the topology of the Euclidean space R^n, convergent sequences, subsequences, Cauchy sequences, upper and lower limits, series, series of nonnegative terms, the number e, the root and ratio tests, power series, summation by parts, absolute convergence, addition and multiplication of series, rearrangements.
Limits of functions, continuous functions, continuity and compactness, continuity and connectedness, discontinuities, monotonic functions.
The derivative of a real function, Taylor’s theorem, differentiation of vector-value functions.
• The Riemann-Stieltjes integral
Definition and existence of the integral, properties of the integral, improper integrals, integration of vector-value functions.
• Sequences and Series of Functions
Pointwise convergence, uniform convergence, total convergence of series of functions, uniform convergence and continuity, uniform convergence and integration, uniform convergence, differentiation, power series, Fourier series.
• Functions of Several Variables
Linear Transformations, differentiation, the contraction principle, the inverse function theorem, the implicit function theorem, derivatives of higher order, differentiation of integrals, change of variables.
• Curves and Surfaces
Curves, regular curves, length of a curve, rectifiable curves, path integrals, surfaces, regular surfaces, surface area, surface integrals.
• Vector Fields
Conservative vector fields, Green’ formulas, Stokes’ theorem, Gauss’ theorem.
ECTS Credits: 6 | Semester: 1 | Year: 1 | Programme: Erasmus Mundus, Double Degrees | Campus: University of L'Aquila | Language: English
Unit Coordinator: Alessandro D'Innocenzo
The course provides the basic methodologies for modeling, analysis and controller design for continuous-time linear time-invariant systems.
ECTS Credits: 3 | Semester: 1 | Year: 1 | Programme: Erasmus Mundus, Double Degrees | Campus: University of L'Aquila |
Students will reach a basic level of both written and spoken Italian (A1 level according to CEFR), and will acquire a smattering of Italian culture
Nuovo Espresso 1, by Luciana Ziglio and Giovanna Rizzo, published by Alma Edizioni, 2014, ISBN: 978-8861823181.
ECTS Credits: 9 | Semester: 2 | Year: 1 | Programme: Double Degrees | Campus: University of L'Aquila | Language: English
Unit Coordinator: Mariapia Palombaro
Knowledge of all topics treated the Mathematical Analysis courses in the first and second year: real functions of real variables, limits, differentiation, integration; sequences and series of funcions; ordinary differential equations
ECTS Credits: 6 | Semester: 2 | Year: 1 | Programme: Double Degrees | Campus: University of L'Aquila | Language: English
Unit Coordinator: Adriano Festa, Protasov Vladimir
Unit Title: Combinatorics and cryptography | ECTS Credits: 6 | Semester: 2 | Year: 1 | Programme: Double Degrees | Campus: University of L'Aquila | Language: English
Unit Coordinator: Riccardo Aragona
The course aims to provide the arithmetical and algebraic background and the basic techniques for symmetric cryptography, public-key cryptography and error correction coding. At the end of the course the student should be able to understand the fundamental concepts of modular arithmetic and Snite Selds and to be able to apply them to the study of basic cryptographic techniques and basic error correcting codes described during the course.
On successful completion of this course, the student should
1) have knowledge of the basic techniques of cryptography and error correction codes introduced;
2) understand the fundamental concepts of arithmetic and algebra and their interactions and be aware of their applications in cryptography and coding theory;
3) have knowledge of how to apply the notions of arithmetic and algebra to the study of cryptographic techniques and error correction codes;
4) understand and analyze the mathematical and application problems underlying the cryptographic schemes studied;
5) demonstrate skill in reasoning and arithmetic calculation and ability to understand the proofs of the theoretical and cryptographic results studied;
6) demonstrate ability to read and understand other scientiSc texts on related subjects.
Basics of Algebra
1) Trappe and Washington, "Introduction to Cryptography with Coding Theory", second edition, Pearson Pretince Hall, 2006;
2) Smart, "Cryptography made simple", Information Security and Cryptography, Springer, 2016;
3) Heys, "A Tutorial on Linear and Differential Cryptanalysis"
Unit Title: Data Analytics and Data Driven Decision | ECTS Credits: 9 | Semester: 2 | Year: 1 | Programme: Double Degrees | Campus: University of L'Aquila | Language: English
Unit Coordinator: Fabrizio Rossi
Learn fundamental techniques to examine raw data with the purpose of drawing data-driven decisions. The course deals with the main methods for supervised and non-supervised learning. Particular attention will be given to the statistical foundations of learning. The most established techniques to extract information from data to orient decisions will be treated both in their theoretical motivations and in their practical details. Open source tools will support the course step by step, providing continuous veriScation of the material.
Introduction to analytics.
Data collection, cleaning and preprocessing.
Exploratory Data Analysis and Visualization.
Statistical inference and regression models.
Optimization formulations of data analysis and learning problems.
Statistical foundations of learning.
Clustering and Principal Component Analysis.
Decision trees - Logic methods.
Support vector machines - Feature selection and extraction.
Methods and tools for supervised learning.
Basic programming skills, introductory statistic.
Python Data Science Handbook. Essential Tools for Working with Data Jake VanderPlas O'Reilly Media (2016)
An Introduction to Statistical Learning Gareth James, Daniela Witten, Trevor Hastie, Robert Tibshirani Springer Texts in Statistics (2015)
An Introduction to R Version 3.4.1 (2017) W. N. Venables, D. M. Smith and the R Core Team
Unit Title: Numerical methods for linear algebra and optimisation | ECTS Credits: 6 | Semester: 2 | Year: 1 | Programme: Double Degrees | Campus: University of L'Aquila | Language: English
Unit Coordinator: Raffaele D'Ambrosio
The Aim of this course is to provide the student with knowledge of Numerical Linear Algebra and Numerical Optimisation and ability to analyze theoretical properties and design mathematical software based on the proposed schemes.
On successful completion of this module, the student should
LU decomposition, Cholesky decomposition. Singular value decomposition and applications (image processing, recommender systems). QR decomposition and least squares. Householder triangularization. Conditioning and stability in the case of linear systems.
Approximation of the spectral radius. Power method and its variants. Reduction to Hessemberg form. Rayleigh quotient, inverse iteration. QR algorithm with and without shift. Jacobi method. Givens-Householder algorithm. Google PageRank.
ITERATIVE METHODS FOR LINEAR SYSTEMS
Overview of iterative methods. Arnold iterations, Krylov iterations. GMRES. Lanczos method. Conjugate gradient. Preconditioners. Preconditioned conjugate gradient.
Continuous versus discrete optimization. Constrained and unconstrained optimization. Global and local optimization. Overview of optimization algorithms. Convexity.
Line search methods. Convergence of line search methods. Rate of convergence. Steepest descent, quasi-Newton methods. Step-length selection algorithms. Trust region methods. Cauchy point and related algorithms. Dogleg method. Global convergence. Algorithms based on nearly exact solutions. Conjugate gradient methods. Basic properties. Rate of convergence. Preconditioning. Nonlinear conjugate gradient methods: Fletcher-Reeves method, Polak-Ribiere method.
Basic Numerical Analysis and Linear Algebra.
ECTS Credits: 3 | Semester: 2 | Year: 1 | Programme: Double Degrees | Campus: University of L'Aquila |
The aim of this course is to provide the student with knowledge of pre-intermediate grammatical structures, vocabulary and comunicative structures of the Italian language. Many notions of Italian culture will be given during the course.
On successful completion of this module, the student should be able to:
Italian language and culture - level A1
"Nuovo Espresso 1", Alma Edizioni, Firenze 2014, lessons 7-10.
Further learning material will be provided during the lessons.
Welcome and Induction Weeks
13 - 24 September 2021
23 December 2021 - 6 January 2022
Semester 1 examinations
17 January - 25 February 2022
28 February - 09 June 2022
14 - 19 April 2022
Semester 2 examinations
13 June - 29 July 2021
Re-sit examination period
5 - 16 September 2022
1 November, 8 December, 6 April, 25 April, 1 May, 2 June, 10 June, 15 August
Starting from Academic year 2020-2021, the visa application procedure is completely web-based. Non-EU students not living in Italy are requested to pre-enrol using the online platform called UNIVERSITALY. Once your pre-enrolment request on Universitaly.it has been approved by the University of L'Aquila, you will receive a confirmation email. After that, you will have to get in contact with the local Italian Diplomatic-consular mission for the visa request process. Please note that the university confirmation email does not automatically imply the issue of a study visa for you, which is all up to the Diplomatic mission you're in contact with, instead.
All you need to do is visit any Italian post office and withdraw the required form known as "kit permesso di soggiorno" ("soggiorno" sounds like "sojjorno"). Then, bring it to campus and we'll fill it in together!
Then, put all the required documents (including blank forms) back in the envelope, visit any Italian post office once again and complete the submission process (including payment of the required fees) with the post office clerks. After that, your application will be submitted to the L'Aquila police station ("questura" sounds like "kuestura") via the post office itself. Note that you may withdraw and drop your application form at any Italian post office, not necessarily the ones in L'Aquila, but the envelope must be addressed to the L'Aquila Questura, as it's the one in charge of the place where you're going to live and study.
At the end of the submission process, the clerk at the post office will hand you out three receipts, which will be considered as your temporary residence permit (always carry a copy with you whenever you're around and drop one to our Registrar's Office to confirm your enrolment).
On such receipts you'll also find the date and time of the appointment fixed for you at the L'Aquila police station (Questura) to complete the rest of the required procedures, which includes an interview for fingerprints (carry with you passport & ID photos). Eventually, you'll be summoned for another appointment to collect your final (plastic) permit card - the one you can see on this page.
The whole process will be complete in approximately 2 months (but it might even take longer) and will cost you around 120 euros.
All our students, doesn't matter if they are EU or not, must hold valid insurance covering risks related to health, accidents, death, permanent invalidity, civil responsibility (including travel assistance) while they are outside their home country.
Personal medical cover is required in most European countries, even in those that have a public health system. An insurance card will also be required by local authorities in order to obtain a residence permit.
For all the Erasmus Mundus (EMJMD) students: a mandatory insurance coverage, covering risks related to health, accidents, death, permanent invalidity, civil responsibility, is provided to all students (whether they're scholarship holders or not) by the InterMaths Erasmus Mundus Joint Master Degree (EMJMD) Consortium.
Such insurance complies with the minimum requirements set out by EACEA
To all the other students (Double Degree programmes, for instance).
In the months that precede your arrival we will send you information by email about the insurance coverage we recommend. Then, you can decide to buy a different one by yourself or keep the one you may already have in your country. But, in any case your insurance coverage will have to comply with some minimum requirements established by the consortium. You may refer to these links if you wish to buy insurance by yourself - all the below-listed companies offer insurance that comply with the minimum requirements to obtain an Italian residence permit:
L'Aquila can also be reached by train. However, the whole journey from Rome may take you even 4 hours or more, and you'll have to change trains at least two times, whereas a bus will take you there in an hour or so. Thus, we strongly recommend using coaches, instead, unless you wish to visit historical towns in the Abruzzo region.
Our programmes are coordinated and hosted by D.I.S.I.M. (Department of Information Engineering, Computer Science, and Mathematics) located on the Coppito campus in via Vetoio - West L'Aquila. The Coppito campus also hosts other departments (biology, chemistry, physics, medicine) and, most notably, the main city hospital (in Italian ospedale). Keep that in mind whenever you will be asking for directions, as everybody knows where the hospital is.Local buses are operated by A.M.A. For more information and timetable see here
The webpage is in Italian, but all you need to do is enter the word "ospedale" or "coppito" in the search box.
Number 1 or 2U Bus are very likely the ones you'll need most, as they connect our campus to the bus station at the Hotel Amiternum, the "L'Aquilone" shopping centre, as well as the main coach station (known as Collemaggio) in the old city centre. But there are several other buses that might take you there - just check out the link above.
L'Aquila is an Italian city of about 70,000 inhabitants and around 20,000 university students. It is the capital of the Abruzzo region and it is conveniently located 100 km (62 miles) east of Rome. The city is on a hill at 720 m (2365 ft) above sea level and is surrounded by mountains, most notably to the north by the Gran Sasso range, which includes the highest peaks (up to 2,900 m) of the Apennines, with a number of small lakes, trails and mountain climbing routes as well as deep caves. Within the province of L’Aquila there are also two national parks (Parco Nazionale Gran Sasso Monti della Laga and Parco Nazionale della Majella).
The city itself is full of history, traditions, beautiful buildings (like the Spanish Fortress) and churches (most notably, the Collemaggio Basilica). There are also a lot of good restaurants, pubs and places where students get together at night (most remarkably, on Thursdays and Saturdays). The city is also the home of L'Aquila Rugby - this team won the Italian championship five times.
For more practical and historical information about L'Aquila, click here.
A student will spend approximately 500 euros a month:
Location: car park of our Department (opposite the "Coppito 1" building, main entrance).
Opening time: 12.30 pm - 2.30 pm Mon-Fri
Open for lunch and dinner even at week-ends
Location: premises of the ADSU Regional Office (Località Casermette /S.S. 80 – 67100 L’Aquila), at just 2 minute's walking distance from the Hotel Amiternum (first stop for coaches arriving from Rome).
Before the 2009 earthquake most people and students used to gather at the many cafes and bars in L'Aquila city centre. Now, while several buildings there are still to be reconstructed and part of the area is not yet accessible to people, dozens of bars and clubs have proudly reopened their doors. You will find lots of students hanging out mostly on Thursday nights (typically, university night) and Saturday nights. Just ask the taxi/bus driver to drop you at "Fontana Luminosa" (the big fountain near the castle) and walk into the main road "Corso Federico II". You'll see that most people gather in a small square a few steps ahead near "via Garibaldi".
Aquilasmus is a student association, part of ESN (Erasmus Student Network). Aquilasmus offers several services to Erasmus students, like organizing parties, trips, international dinners, cineforums and more. Take a look at their website, join their Facebook group and check out their Instagram page to get to know other international students and be involved in their activities.
Being L'Aquila ideally located in central Italy, you'll have lots of opportunities to visit Italy's top destinations: Rome, Naples, Pompei, Sicily, Florence, Venice, Verona, Milan, Turin, to mention just a few. The easiest and most convenient way to reach any of these destinations is from the bus/train stations in Rome, where you can get to by TUA/ARPA coach or Flixbus from L'Aquila (either from the bus station "Collemaggio" or from the Hotel Amiternum). Some destinations (Bologna, Venice, Verona to the North or the whole beautiful Apulia region in Southern Italy - most notably the Salento Peninsula) are more easily accessible from Pescara train station, where you can get to by TUA/ARPA coach from L'Aquila bus station or even by train (you'll have to change trains in Sulmona). Recently, most popular Italian cities have also been connected to L'Aquila by direct coaches (Flixbus).
And, if you're into art, don't miss out the opportunity to visit Rome museums for free on every first Sunday of every month!
On the way to Pizzoli (west L'Aquila) you may stop by and visit the stunning archeological site of Amiternum, an ancient Italic town founded by the Sabines and conquered by the Romans in the 3rd century B.C.!
The site features an amphiteatre, a theather, publich baths as well as an aqueduct.
For more information and opening times, visit this link.
Gran Sasso is Italy's second highest mountain (2,912 m asl). From the bus station in L'Aquila you can catch a number M6 bus (free shuttle buses at weekends!) bound for Assergi/Fonte Cerreto (1150 m above sea level), which is the base of the cableway that will take you to Campo Imperatore (around 2100 m asl). Campo Imperatore is a ski resort where you'll also find an astronomic observatory, a hotel (where Italian dictator Mussolini was held captive), an alpine garden, lakes and several breathtaking trails. The cableway may not be available all year round (it's usually closed in summer). Anyway, if it's closed, you may still decide to get to Fonte Cerreto to go on a hiking trip: there are several amazing hiking paths starting there!
If you are into skiing, there are another 2 popular ski resorts at a short distance from L'Aquila, with better facilities than Campo Imperatore:- Campo Felice: see here
Another place worth visiting in the neighbourhood is Stiffe (the nearby village is called San Demetrio dei Vestini), located at only 18 km from L'Aquila. The tour of these spectacular caves takes about one hour, but do not go there between November and April, as they may be closed because of the high water level inside. According to its official website, there are two buses going there every day from Collemaggio bus station in L'Aquila: one leaving at 8.15 am, the other one at 2 pm. Click here for details.
Located at about 1,300 m asl, this lake is part of the Gran Sasso e Monti della Laga National Park. It was created back in 1940s to produce electric power. In winter the lake gets almost completely frozen, while in spring and summer lots of people get there for canoeing, windsurfing, bird-watching, fishing (a permit is usually required) or just for picnicking. The road around the lake is ideal for walking or cycling. Several hiking paths connect Campotosto to nearby villages like Capitignano, Montereale and Amatrice. Click here for more information. The easiest way to get there is by catching an ARPA bus from Pizzoli to the village of Capitignano, then walk up to the lake, but it is going to be a 1-hour hike up to the lake and could be a bit strenuous for some. If you wish to get straight to the lake, you'll have to firstly get to the bus station in Collemaggio (L'Aquila city centre), then catch a TUA/ARPA bus to "Lago Campotosto".
Marmore waterfalls are a man-made waterfall created in ancient times by Romans. Its total height is 165 m (541 feet), making it the tallest man-made waterfall in the world. Its source is a portion of the waters of river Velino (the rest of the river flows into a hydroelectric power plant), after flowing through Piediluco lake near the community of Marmore. It pours into the valley below formed by the river Nera. Its flow is turned on and off based on a specific schedule, to satisfy the needs of tourists and the power company alike. Tourists try to be there the moment the gates are opened to see the powerful rush of water.
How to get there: catch a train from L'Aquila to Terni, then board a direct bus to get to the waterfalls.
Adapted from Wikipedia
From the official web-site
The Gran Sasso National Laboratory is one of the four INFN laboratories. It is the largest underground laboratory in the world for experiments in particle physics, particle astrophysics and nuclear astrophysics. It is used as a worldwide facility by scientists, presently over 900 in number, from 29 different countries, working at about 15 experiments in their different phases. It is located between the towns of L'Aquila and Teramo, about 120 km from Rome. Go to www.lngs.infn.it for more details and guided tours.
There are many amazing sandy beaches on the Adriatic coast at only 1 hour-ride from L'Aquila. The easiest one to get to is Giulianova. All you have to do is get to the bus station in L'Aquila and buy a ticket at the TUA/ARPA office on the -2 floor. Get off at Giulianova Stazione (train station) and walk to the beach, it's just a few steps away.
Other popular places are: Alba Adriatica, Pineto, Pescara and Vasto. Pescara is by the way Abruzzo's largest city, with lots of shops, clubs and great nightlife, too. Just get to the main train station (Pescara Centrale, 2 hours away from L'Aquila, change trains in Sulmona; or just get there by TUA/ARPA bus). Outside the train station you'll find yourself in the city centre with lots to do and see on the promenade that will take you right into the beach!
How to get there: get to the bus station in Collemaggio (L'Aquila city centre), then catch a TUA/ARPA bus to Calascio (check out the TUA/ARPA website)
WHERE. Coppito, campus of the Math Dept., just 2 minutes' walking distance from our teaching buildings. MAP
DETAILS. Access to the area with weights machines (sala pesi) costs only 15 euros/month (average fare in other gyms is 40 euros) - free trial pass also available. You can join extra courses like pilates, yoga, zumba, fitbox, body pump, as well as reserve the outdoor fields. Check timetables and fares from the url.
WHERE. Statale 17 Bis (aka "Centi Colella", on the way from L'Aquilone Shopping Centre towards the Hotel Amiternum - around 20 minutes' walking distance from our department, but mind the traffic! Or just board AMA bus no. 2 or 19 from our department)
DETAILS. Large university sports centre with several halls and rooms for most popular sports (fitness, spinning, judo, climbing etc.), including outdoors fields (football, volleyball, rugby, tennis, etc.). Reduced fees for university students.
WHERE. Viale Ovidio 3 - L'Aquila (city centre, close to the castle)
DETAILS. City pool offering reduced fees for university students.
There are quite a few private gyms (and swimming pools too) across the city, just google "palestra l'aquila" or "piscina l'aquila"
(biblioteca in Italian), ground floor, Coppito1 building, DISIM (Math Dept.)
Open: Mon-Thu: 8.30 am – 7 pm, Fri: 8.30 am - 2 pm
The first time you enter the library you will be asked to register. So, bring with you an ID document and your student card.
More details can be found here
Mon - Fri: 8.30 am - midnight!
Sat: 9 am - 5 pm
Sun: 3 pm - 8 pm
You can find study rooms in the Canadà centre, which is at 2 minutes' walk from the main teaching building (aka Coppito1), (Math Dept).
There you'll also find a bar, a gym and a computer room, too.
Click here to view a map
Click here for their Facebook page