20402083 -
AL4 - 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.
|
7
|
MAT/02
|
72
|
-
|
-
|
-
|
Elective activities
|
ITA |
20402085 -
AM310 - ELEMENTS OF ADVANCED ANALYSIS
(objectives)
To acquire a good knowledge of the theory of abstract integration. Introduction to functional analysis: Banach and Hilbert spaces.
|
7
|
MAT/05
|
72
|
-
|
-
|
-
|
Elective activities
|
ITA |
20402086 -
FM310 - MATHEMATICAL PHYSICS 2
|
Also available in another semester or year
|
20402087 -
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.
|
7
|
MAT/03
|
72
|
-
|
-
|
-
|
Elective activities
|
ITA |
20402088 -
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.
|
7
|
MAT/08
|
72
|
-
|
-
|
-
|
Elective activities
|
ITA |
20402089 -
IN410 - COMPUTER SCIENCE 2
|
Also available in another semester or year
|
20402090 -
MC410 - COMPLEMENTARY MATHEMATICS 1
|
Also available in another semester or year
|
20402091 -
TN410 - INTRODUCTION TO NUMBER THEORY
|
Also available in another semester or year
|
20402092 -
AN420 - NUMERICAL ANALYSIS 2
|
Also available in another semester or year
|
20402093 -
CP410 - PROBABILITY 2
|
Also available in another semester or year
|
20402094 -
AL410 - COMMUTATIVE ALGEBRA
|
Also available in another semester or year
|
20402097 -
AM410 - ELLITTIC PARTIAL DIFFERENTIAL EQUATIONS
|
Also available in another semester or year
|
20402101 -
CP430 - STOCHASTIC CALCULUS
|
Also available in another semester or year
|
20402104 -
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.
|
7
|
MAT/03
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20402108 -
IN430 - INFORMATICS 4: ADVANCED COMPUTING TECHNIQUES
|
Also available in another semester or year
|
20402113 -
MC430 - LABORATORY: DIDACTICS FOR MATHEMATICS
|
Also available in another semester or year
|
20402114 -
ME410 - ELEMENTARY MATHEMATICS FROM AN ADVANCED POINT OF VIEW
|
Also available in another semester or year
|
20402115 -
ST410 - STATISTICS 1
|
Also available in another semester or year
|
20402122 -
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.
|
7
|
FIS/02
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20402123 -
MA410 - APPLIED AND INDUSTRIAL MATHEMATICS
|
Also available in another semester or year
|
20402249 -
CH410 - ELEMENTS OF CHEMISTRY
(objectives)
Knowing the basic principles of general chemistry and being able to apply the acquired knowledge to the solution of simple problems of chemistry.
|
7
|
CHIM/03
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20402290 -
IN420 - COMPUTER SCIENCE 3, INFORMATION THEORY
|
Also available in another semester or year
|
20410031 -
MF410 - MATEMATICA FINANZIARIA
|
Also available in another semester or year
|
20410034 -
ELLITTIC PARTIAL DIFFERENTIAL EQUATIONS
|
Also available in another semester or year
|
20410036 -
FM450 - ASPETTI MATEMATICI DELLA MECCANICA QUANTISTICA
|
Also available in another semester or year
|
20410037 -
GE450 - TOPOLOGIA ALGEBRICA
|
Also available in another semester or year
|
20410038 -
GRAPH THEORY
(objectives)
Provide tools and methods for graph theory.
|
7
|
MAT/03
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410040 -
COMPUTATIONAL METHODS IN SYSTEMS BIOLOGY
|
Also available in another semester or year
|
20410044 -
FS430 - FISICA 3, RELATIVITA' E TEORIE RELATIVISTICHE
|
Also available in another semester or year
|
20410056 -
FS410 - LABORATORIO DI DIDATTICA DELLA FISICA
|
Also available in another semester or year
|
20402095 -
AL420 - ALGEBRAIC THEORY OF NUMBERS
|
Also available in another semester or year
|
20402098 -
AM420 - SOBOLEV SPACES AND PARTIAL DERIVATIVE EQUATIONS
|
Also available in another semester or year
|
20402100 -
CP420 - STOCHASTIC PROCESSES
|
Also available in another semester or year
|
20402106 -
GE430 - DIFFERENTIAL GEOMETRY 2
|
Also available in another semester or year
|
20402110 -
IN450 - INFORMATICS 6: ALGORITHMS FOR CRYPTOGRAPHY
|
Also available in another semester or year
|
20410073 -
IN460 - INFORMATICA 7, GEOMETRIA COMPUTAZIONALE
|
Also available in another semester or year
|
20402291 -
ST420 – MULTIVARIATE STATISTICAL ANALYSIS, MATHEMATICAL STATISTICS
|
Also available in another semester or year
|
20410100 -
AC310 - Complex analysis 1
|
Also available in another semester or year
|
20410094 -
GE470 - Riemann surfaces
|
Also available in another semester or year
|
20402280 -
AN430 – NUMERICAL ANALYSIS 3
|
Also available in another semester or year
|
20410107 -
CR410 - CRITTOGRAFIA 1
|
Also available in another semester or year
|
20410068 -
MATHEMATICS OF FINANCIAL MARKETS
|
Also available in another semester or year
|
20410069 -
FS410 - LABORATORIO DI DIDATTICA DELLA FISICA
|
Also available in another semester or year
|
20410133 -
IN480 - CALCOLO PARALLELO E DISTRIBUITO
|
Also available in another semester or year
|
20402279 -
AC310 – COMPLEX ANALYSIS 1
|
Also available in another semester or year
|
20410137 -
IN410 - MODELLI DI CALCOLO
|
Also available in another semester or year
|
20410149 -
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.
|
7
|
INF/01
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410138 -
IN420 - Information Theory
|
Also available in another semester or year
|
20410157 -
AL430 - COMMUTATIVE RING AND IDEAL
|
Also available in another semester or year
|
20410139 -
AN430 - FINITE ELEMENTS METHOD
|
Also available in another semester or year
|
20410140 -
IN430 - ADVANCED COMPUTING TECHNIQUES
|
Also available in another semester or year
|
20410141 -
AL440 – GROUP THEORY
|
Also available in another semester or year
|
20410142 -
FS440 - DATA ACQUISITION
|
Also available in another semester or year
|
20410143 -
IN440 - COMBINATORIAL OPTIMISATION
|
Also available in another semester or year
|
20410144 -
AM450 - FUNCTIONAL ANALYSIS
|
Also available in another semester or year
|
20410145 -
FS450 - STATISTICAL MECHANICS
|
Also available in another semester or year
|
20410146 -
IN460 - COMPUTATIONAL GEMOMETRY
|
Also available in another semester or year
|
20410147 -
IN470- COMPUTATIONAL METHODS IN SYSTEMS BIOLOGY
(objectives)
Acquire the basic knowledge of biological systems and problems related to their understanding, also in relation to deviations from normal functioning and thus to the insurgence of pathologies. Take care of the modeling aspect as well as of numerical simulation, especially for problems formulated by means of equations and discrete systems. Acquire the knowledge of the major bio-informatics algorithms useful to analyze biological data.
|
7
|
INF/01
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410148 -
IN480 - PARALLEL AND DISTRIBUTED COMPUTING
(objectives)
Acquire techniques in parallel and distributed programming, and the knowledge of modern hardware and software architectures for high-performance scientific computing. Learn distributed iterative methods for simulating numerical problems. Acquire the knowledge of the newly developed languages for dynamic programming in scientific computing, such as the Julia language.
|
7
|
ING-INF/05
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410187 -
IN460 - Laboratory of geometric and graphic programming
|
Also available in another semester or year
|
20410189 -
LM410 -THEOREMS IN LOGIC 1
(objectives)
To acquire a good knowledge of first order classical logic and its fundamental theorems.
|
7
|
MAT/01
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410190 -
LM420 - THEOREMS IN LOGIC 2
(objectives)
To support the students into an in-depth analysis of the main results of first order classical logic and to study some of their remarkable consequences.
|
7
|
MAT/01
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410191 -
LM430 - LOGICAL THEORIES 2
|
Also available in another semester or year
|
20410342 -
FM310 - Equations of Mathematical Physics
|
Also available in another semester or year
|
20410343 -
MC310 - Fundaments of Complementary Mathematics
(objectives)
1. Conceptual basis of mathematics: first principles in arithmetic, geometry, probability; the idea of proof; mathematics, philosophy and scientific knowledge. 2. Discrete and continuous. Euclidean geometry, natural numbers, the real line. Conceptual, epistemological, linguistic and didactic nodes of teaching and learning mathematics. 3. Mathematics in culture: social and economic role of mathematics, mathematics in education, the international mathematical community. 4. Planning and developing methodologies for teaching mathematics, with the aim of building a curriculum in mathematics for high schools and technical and trade schools.
|
7
|
MAT/04
|
60
|
12
|
-
|
-
|
Elective activities
|
ITA |
20410345 -
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.
|
7
|
MAT/06
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410193 -
ME410 - ELEMENTARY MATHEMATICS FROM AN ADVANCED POINT OF VIEW
|
Also available in another semester or year
|
20410351 -
ST410-Introduction to Statistics
(objectives)
Introduction to the basics of mathematical statistics and data analysis, including quantitative numerical experiments using suitable statistical software.
|
7
|
MAT/06
|
60
|
12
|
-
|
-
|
Elective activities
|
ITA |
20410350 -
MF410 - Computational Finance
|
Also available in another semester or year
|
20410357 -
FS430- Theory of Relativity
|
Also available in another semester or year
|
20410352 -
CP420-Introduction to Stochastic Processes
(objectives)
Introduction to the theory of stochastic processes. Markov chains: ergodic theory, coupling, mixing times, with applications to random walks, card shuffling, and the Monte Carlo method. The Poisson process, continuous time Markov chains, convergence to equilibrium for some simple interacting particle systems.
|
7
|
MAT/06
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410355 -
AN430- Finite Element Method
(objectives)
Introduce to the finite element method for the numerical solution of partial differential equations, in particular: computational fluid dynamics, transport problems; computational solid mechanics.
|
7
|
MAT/07
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410358 -
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.
|
7
|
FIS/04
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410359 -
FS450 - Elements of Statistical Mechanics
|
Also available in another semester or year
|
20410344 -
BL410-Introduction to Biology
(objectives)
Introduction to the methods of biological research, intended as a systematic, controlled, empirical and critical study of natural phenomenology, which is developed from the formulation of an hypothesis until the construction of the explanation. Setting the basic skills relative to the processing of experimental results and the communication in the written form. Also, a lessons cycle will be dedicated to the most profitable study methods.
|
7
|
BIO/13
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410346 -
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.
|
7
|
MAT/03
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410348 -
GL410-Elements of Geology I
(objectives)
The course aims to provide an overview of the planet Earth, introducing the basis for understanding the main geological aspects that characterize our planet. The course will also deal with the interactions between endogenous and exogenous processes in order to understand how these processes influence the shapes of the landscape. Moreover, the course aims to provide the tools to acquire knowledge about the Solar System and its planets, defining the planet Earth as an integrated system and highlighting its role within the Solar System. During the didactical laboratories and field excursions students will learn to understand the different aspects of Italian territory, with particular regard to its environmental value and fragility.
|
7
|
GEO/03
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410349 -
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.
|
7
|
MAT/01
|
60
|
12
|
-
|
-
|
Elective activities
|
ITA |
20410353 -
GL420-Elements of Geology II
|
Also available in another semester or year
|
20410354 -
MC420-Dydactics of Mathematics
|
Also available in another semester or year
|
20410356 -
FM430-Mathematical Statistical Mechanics
|
Also available in another semester or year
|
20402186 -
GE440 - DIFFERENTIAL TOPOLOGY
|
Also available in another semester or year
|
20410371 -
IN450 - ALGORITHMS FOR CRYPTOGRAPHY
(objectives)
Acquire the knowledge of the main encryption algorithms. Deepen the mathematical skills necessary for the description of the algorithms. Acquire the cryptanalysis techniques used in the assessment of the security level provided by the encryption systems.
|
7
|
INF/01
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410361 -
FS460 - Dydactics of Physics
|
Also available in another semester or year
|
20410369 -
QLTa - QUALIFICATION FOR THE EQUIVALENT OF BACHELOR'S DEGREE a
(objectives)
Discuss a project in the context of some topics addressed in the university studies
|
1
|
MAT/07
|
-
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410370 -
QLTb - QUALIFICATION FOR THE EQUIVALENT OF BACHELOR'S DEGREE b
(objectives)
Discuss a project in the context of some topics addressed in the university studies
|
1
|
MAT/07
|
-
|
-
|
-
|
-
|
Elective activities
|
ITA |
20410334 -
AC310 - Complex analysis
|
Also available in another semester or year
|
20410347 -
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.
|
|
-
FM410-Complements of Analytical Mechanics - MODULE A
|
Also available in another semester or year
|
-
FM410-Complements of Analytical Mechanics - Module B
|
Also available in another semester or year
|
20410163 -
CFU A SCELTA DELLO STUDENTE
|
Also available in another semester or year
|
20410075 -
CFU A SCELTA DELLO STUDENTE
|
Also available in another semester or year
|