|
20410408 -
AL310 - ELEMENTS OF ADVANCED ALGEBRA
(objectives)
Acquire a good knowledge of the concepts and methods of the theory of polynomial equations in one variable. Learn how to apply the techniques and methods of abstract algebra. Understand and apply the fundamental theorem of Galois correspondence to study the "complexity" of a polynomial.
|
9
|
MAT/02
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410410 -
FM310 - Equations of Mathematical Physics
(objectives)
To acquire a good knowledge of the elementary theory of partial differential equations and of the basic methods of solution, with particular focus on the equations describing problems in mathematical physics.
|
9
|
MAT/07
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410411 -
GE310 - ELEMENTS OF ADVANCED GEOMETRY
(objectives)
Topology: topological classification of curves and surfaces. Differential geometry: study of the geometry of curves and surfaces in R^3 to provide concrete and easily calculable examples on the concept of curvature in geometry. The methods used place the geometry in relation to calculus of several variables, linear algebra and topology, providing the student with a broad view of some aspects of mathematics.
|
9
|
MAT/03
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410445 -
AL410 - COMMUTATIVE ALGEBRA
(objectives)
Acquire a good knowledge of some methods and fundamental results in the study of the commutative rings and their modules, with particular reference to the study of ring classes of interest for the algebraic theory of numbers and for algebraic geometry.
|
9
|
MAT/02
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410413 -
AN410 - NUMERICAL ANALYSIS 1
(objectives)
Provide the basic elements (including implementation in a programming language) of elementary numerical approximation techniques, in particular those related to solution of linear systems and nonlinear scalar equations, interpolation and approximate integration.
|
9
|
MAT/08
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410447 -
CP410 - Theory of Probability
(objectives)
Foundations of modern probability theory: measure theory, 0/1 laws, independence, conditional expectation with respect to sub sigma algebras, characteristic functions, the central limit theorem, branching processes, discrete parameter martingale theory.
|
9
|
MAT/06
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410416 -
FM410-Complements of Analytical Mechanics
(objectives)
To deepen the study of dynamical systems, with more advanced methods, in the context of Lagrangian and Hamiltonian theory.
|
|
|
20410416-1 -
FM410-Complements of Analytical Mechanics - MODULE A
|
Also available in another semester or year
|
|
20410416-2 -
FM410-Complements of Analytical Mechanics - Module B
|
Also available in another semester or year
|
|
20410449 -
GE410 - ALGEBRAIC GEOMETRY 1
(objectives)
Introduce to the study of topology and geometry defined through algebraic tools. Refine the concepts in algebra through applications to the study of algebraic varieties in affine and projective spaces.
|
9
|
MAT/03
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410417 -
IN410-Computability and Complexity
(objectives)
Improve the understanding of the mathematical aspects of the notion of computation, and study the relationships between different computational models and the computational complexity.
|
9
|
MAT/01
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410451 -
LM410 -THEOREMS IN LOGIC 1
(objectives)
To acquire a good knowledge of first order classical logic and its fundamental theorems.
|
|
|
20410451-1 -
LM410 -THEOREMS IN LOGIC 1 - Module A
(objectives)
To acquire a good knowledge of first order classical logic and its fundamental theorems.
|
6
|
MAT/01
|
32
|
16
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410451-2 -
LM410 -THEOREMS IN LOGIC 1 - Module B
(objectives)
To acquire a good knowledge of first order classical logic and its fundamental theorems.
|
3
|
MAT/01
|
16
|
8
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410438 -
MF410 - Computational Finance
|
Also available in another semester or year
|
|
20410419 -
MS410-Statistical Mechanics
|
Also available in another semester or year
|
|
20410420 -
AN420 - NUMERICAL ANALYSIS 2
|
Also available in another semester or year
|
|
20410436 -
FS420 - QUANTUM MECHANICS
(objectives)
Provide a basic knowledge of quantum mechanics, discussing the main experimental evidence and the resulting theoretical interpretations that led to the crisis of classical physics, and illustrating its basic principles: notion of probability, wave-particle duality, indetermination principle. Quantum dynamics, the Schroedinger equation and its solution for some relevant physical systems are then described.
|
6
|
FIS/02
|
60
|
-
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410442 -
IN420 - Information Theory
|
Also available in another semester or year
|
|
20410421 -
AN430- Finite Element Method
|
Also available in another semester or year
|
|
20410437 -
FS430- Theory of Relativity
(objectives)
Make the student familiar with the theoretical underpinnings of General Relativity, both as a geometric theory of space-time and by stressing analogies and differences with the field theories based on local symmetries that describe the interactions among elementary particles. Illustrate the basic elements of differential geometry needed to correctly frame the various concepts. Introduce the student to extensions of the theory of interest for current research.
|
6
|
FIS/02
|
48
|
-
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410459 -
MC430 - LABORATORY: DIDACTICS FOR MATHEMATICS
(objectives)
1. Mathematics software, with particular attention to their use for teaching mathematics in school. 2. Analysis of the potential and criticality of the use of technological tools for teaching and learning mathematics.
|
6
|
MAT/04
|
48
|
12
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410435 -
FS440 - Data Acquisition and Experimental Control
(objectives)
The lectures and laboratories allow the student to learn the basic concepts pinpointing the data acquisition of a high energy physics experiment with specific regard to the data collection, control of the experiment and monitoring.
|
6
|
FIS/04
|
60
|
-
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410424 -
IN450 - ALGORITHMS FOR CRYPTOGRAPHY
|
Also available in another semester or year
|
|
20410425 -
GE460- GRAPH THEORY
|
Also available in another semester or year
|
|
20410426 -
IN480 - PARALLEL AND DISTRIBUTED COMPUTING
|
Also available in another semester or year
|
|
20410427 -
IN490 - PROGRAMMING LANGUAGES
(objectives)
Introduce the main concepts of formal language theory and their application to the classification of programming languages. Introduce the main techniques for the syntactic analysis of programming languages. Learn to recognize the structure of a programming language and the techniques to implement its abstract machine. Study the object-oriented paradigm and another non-imperative paradigm.
|
9
|
INF/01
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410428 -
CR510 – ELLIPTIC CRYPTOSYSTEMS
|
Also available in another semester or year
|
|
20410429 -
FS510 - MONTECARLO METHODS
|
Also available in another semester or year
|
|
20410462 -
GE510 - ALGEBRAIC GEOMETRY 2
|
Also available in another semester or year
|
|
20410432 -
IN550 – MACHINE LEARNING
(objectives)
Learn to instruct a computer to acquire concepts using data, without being explicitly programmed. Acquire knowledge of the main methods of supervised and non-supervised machine learning, and discuss the properties and criteria of applicability. Acquire the ability to formulate correctly the problem, to choose the appropriate algorithm, and to perform the experimental analysis in order to evaluate the results obtained. Take care of the practical aspect of the implementation of the introduced methods by presenting different examples of use in different application scenarios.
|
6
|
INF/01
|
48
|
12
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410434 -
FS450 - Elements of Statistical Mechanics
|
Also available in another semester or year
|
|
20410524 -
GE520 - ADVANCED GEOMETRY
(objectives)
Acquire up-to-date and advanced skills on topics chosen within the research themes of contemporary geometry
|
6
|
MAT/03
|
48
|
12
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410555 -
ST410- Statistics
(objectives)
Introduction to the basics of mathematical statistics and data analysis, including quantitative numerical experiments using suitable statistical software.
|
6
|
MAT/06
|
48
|
12
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410560 -
IN400- Python and MATLAB programming
(objectives)
Acquire the ability to implement high-level programs in the interpreted languages Python and MATLAB. Understand the main constructs used in Python and MATLAB and their application to scientific computing and data processing scenarios.
|
|
|
20410560-1 -
MODULO A - PYTHON programming
(objectives)
Acquire the ability to implement high-level programs in the interpreted language Python . Understand the main constructs used in Python and its application to scientific computing and data processing scenarios.
|
3
|
INF/01
|
24
|
6
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410560-2 -
MODULO B - MATLAB programming
(objectives)
Acquire the ability to implement high-level programs in the interpreted language MATLAB. Understand the main constructs used in MATLAB and its application to scientific computing and data processing scenarios.
|
3
|
INF/01
|
24
|
6
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410566 -
FS470 - Principles of astrophysics
|
Also available in another semester or year
|
|
20410569 -
FS480 - Reural Networks
|
Also available in another semester or year
|
|
20410592 -
LM400 - INTRODUZIONE ALLA LOGICA
|
Also available in another semester or year
|
|
20410529 -
LM510 - LOGICAL THEORIES 1
|
Also available in another semester or year
|
|
20410627 -
TN410 - INTRODUCTION TO NUMBER THEORY
|
Also available in another semester or year
|
|
20410623 -
CR410-Public Key Criptography
(objectives)
Acquire a basic understanding of the notions and methods of public-key encryption theory, providing an overview of the models which are most widely used in this field.
|
6
|
MAT/02
|
48
|
12
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410621 -
MC410 - DIDACTICS OF MATHEMATICS
(objectives)
The course aims to deepen and to put in perspective, also from the historical-cultural point of view, theories and techniques of didactics of mathematics, communication, docimology and planning of teaching units.
|
6
|
MAT/04
|
48
|
12
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410613 -
LM430-Logic and mathematical foundations
(objectives)
To acquire the basic notions of Zermelo-Fraenkel's axiomatic set theory and present some problems related to that theory.
|
6
|
MAT/01
|
48
|
12
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410626 -
IN440 - COMBINATORIAL OPTIMISATION
|
Also available in another semester or year
|
|
20410637 -
AM450 - FUNCTIONAL ANALYSIS
|
Also available in another semester or year
|
|
20410441 -
CP420-Introduction to Stochastic Processes
|
Also available in another semester or year
|
|
20410756 -
AM420 - PARTIAL DIFFERENTIAL EQUATIONS
|
Also available in another semester or year
|
|
20410746 -
AL440 – GROUP THEORY
|
Also available in another semester or year
|
|
20410465 -
GE450 - ALGEBRAIC TOPOLOGY
(objectives)
To explain ideas and methods of algebraic topology, among which co-homology, homology and persistent homology. To understand the application of these theories to data analysis (Topological Data Analysis).
|
6
|
MAT/03
|
48
|
12
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410567 -
GE470 - Riemann surfaces
|
Also available in another semester or year
|
|
20410757 -
AM410 - AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
(objectives)
To acquire a good knowledge of general methods and basic techniques necessary to the study of classical and weak solutions for partial differential equations
|
|
|
-
AM410- MODULE A - AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
|
Also available in another semester or year
|
|
-
AM410 - MODULE B - AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
|
Also available in another semester or year
|
|
20410758 -
AM410 - MODULE A - AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
|
Also available in another semester or year
|
|
20410759 -
AM410 - MODULO B - - AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
|
Also available in another semester or year
|
|
20410609 -
AM300 - Mathematical analysis 5
(objectives)
To acquire a good basic knowledge of Lebesgue integration theory in R^n, of Fourier theory and of the main results in the theory of ordinary differential equations.
|
9
|
MAT/05
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410766 -
TN520 - Heights and diophantine equations
|
Also available in another semester or year
|
|
20410768 -
FM450 - MATHEMATICAL FOUNDATIONS OF QUANTUM MECHANICS
|
Also available in another semester or year
|
|
20410568 -
IN470- COMPUTATIONAL METHODS IN SYSTEMS BIOLOGY
|
Also available in another semester or year
|
|
20410595 -
AM550 - PROBLEMS OF SMALL DIVISORS IN INFINITE DIMENSIONS
|
Also available in another semester or year
|
|
20410457 -
CP430 - STOCHASTIC CALCULUS
|
Also available in another semester or year
|
|
20410876 -
AM400 - ELEMENTS OF ADVANCED ANALYSIS
(objectives)
To acquire a good knowledge of the abstract integration theory and of the functional spaces L^p.
|
9
|
MAT/05
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410520 -
AL420 - ALGEBRAIC THEORY OF NUMBERS
|
Also available in another semester or year
|
|
20410444 -
GE430 - RIEMANNIAN GEOMETRY
|
Also available in another semester or year
|
|
20410455 -
LM420 - THEOREMS IN LOGIC 2
|
Also available in another semester or year
|
|
20410469 -
AM430 - ELLITTIC PARTIAL DIFFERENTIAL EQUATIONS
(objectives)
To acquire a good knowledge of the general methods andÿclassical techniques necessary for the study of ordinary differential equations and their qualitative properties.
|
6
|
MAT/05
|
48
|
12
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410878 -
FM440 - Mathematical Physics
|
Also available in another semester or year
|
|
20410875 -
FM530 - Mathematical Methods for Machine Learning
|
Also available in another semester or year
|
|
20410882 -
AC310 - Complex analysis
|
Also available in another semester or year
|
|
20410693 -
FM420 - Dynamic Systems
|
Also available in another semester or year
|
|
20411003 -
FS520 – Complex networks
(objectives)
This course introduces students to the fascinating network science,
both from a theoretical and a computational point of view through practical examples. Networks with complex topological properties are a new discipline rapidly expanding due to its multidisciplinary nature:
it has found in fact applications in many fields, including finance, social sciences and biology.
The first part of the course is devoted to the characterization of the
topological structure of complex networks and to the study of the most used network models. The second part is focused on growth and dynamical processes in these systems and to the study of specific networks of this kind.
|
| 3
|
FIS/03
|
24
|
6
|
-
|
-
|
Attività formative affini ed integrative
|
| 3
|
INF/01
|
24
|
6
|
-
|
-
|
Attività formative affini ed integrative
|
|
ITA |
|
20411002 -
IN510 – QUANTUM COMPUTING
(objectives)
Module A
PPresent the computational paradigm of Quantum Computing. By the end of the course, students should be able to understand even complex Quantum algorithms and to analyze and write simple quantum algorithms.
Module B
Study of the quantum circuit model and its universality, in-depth exploration of key quantum techniques for algorithm design and analysis, and the introduction to some quantum programming languages and software platforms for the specification of quantum computations.
|
|
|
-
IN510 – QUANTUM COMPUTING MODULE A
(objectives)
Present the computational paradigm of Quantum Computing. By the end of the course, students should be able to understand even complex Quantum algorithms and to analyze and write simple quantum algorithms.
|
3
|
ING-INF/05
|
27
|
-
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
-
IN510 – QUANTUM COMPUTING MODULE B
(objectives)
Study of the quantum circuit model and its universality, in-depth exploration of key quantum techniques for algorithm design and analysis, and the introduction to some quantum programming languages and software platforms for the specification of quantum computations.
|
3
|
INF/01
|
24
|
6
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20411056 -
FM500 - NON-LINEAR MODELS IN MATHEMATICAL PHYSICS
|
Also available in another semester or year
|
Università Roma Tre
