Mathematical methods for digital communication

A.Y. 2017/2018
6
Max ECTS
48
Overall hours
SSD
MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Language
Italian
Learning objectives
Fornire agli studenti le basi del linguaggio algebrico/geometrico con alcuni concetti e tecniche di frequente uso in matematica e nelle applicazioni.
Expected learning outcomes
Undefined
Course syllabus and organization

Single session

Lesson period
Second semester
Course syllabus
1) Basic algebraic structures
Sets. Relations: equivalence relations, partial orderings. Maps and product of maps. Integers: division;
prime numbers; factorization. The integers mod n.
Algebraic structures: groups, rings, fields: definitions and examples. The symmetric group. The polynomial ring. Roots of a polynomial and their multiplicities. Irreducible polynomials. Factorization of polynomials.
2) Linear Algebra
Linear systems: the Gauss-Jordan method. Matrices and their algebra. Vector spaces: definitions and examples. Bases. Determinants. The rank of a matrix, matrices and linear maps, Cramer and Rouché-Capelli theorems. Eigenvalues and eigenspaces.

The course will be supported by practical exercises to improve the comprehension of the subjects discussed throughout lectures.
MAT/01 - MATHEMATICAL LOGIC
MAT/02 - ALGEBRA
MAT/03 - GEOMETRY
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS
MAT/05 - MATHEMATICAL ANALYSIS
MAT/06 - PROBABILITY AND STATISTICS
MAT/07 - MATHEMATICAL PHYSICS
MAT/08 - NUMERICAL ANALYSIS
MAT/09 - OPERATIONS RESEARCH
Lessons: 48 hours
Professors: Bertolini Marina, Lanteri Antonio
Professor(s)