| Module: GEOMETRY AND COMBINATORICS
(objectives)
The course aims to provide an introduction to those aspects of linear and discrete mathematics needed in science and engineering.
|
|
Code
|
20810098-1 |
|
Language
|
ITA |
|
Type of certificate
|
Profit certificate
|
|
Credits
|
6
|
|
Scientific Disciplinary Sector Code
|
MAT/03
|
|
Contact Hours
|
54
|
|
Type of Activity
|
Basic compulsory activities
|
Group: CANALE 1
|
Derived from
|
20810098-1 GEOMETRY AND COMBINATORICS in Computer science and engineering L-8 CANALE 1 MEROLA FRANCESCA
(syllabus)
Elements of set theory. Maps between sets: invective, surjective, bijective maps. Elements of propositional logic, truth tables. Equivalence and order relations. Combinatorics. Binomial coefficients and binomial theorem. Permutations. The Integers: divisibility, GCD and Euclidean algorithm, Bézout identity, linear congruences. Baiscs of algebraic structures: permutation groups, abstract groups, polynomials and finite fields. Elements of graph theory.Lattices and Boolean algebras
(reference books)
Giulia Maria Piacentini Cattaneo Matematica discreta e applicazioni Zanichelli 2008
|
|
Dates of beginning and end of teaching activities
|
From 27/09/2021 to 21/01/2022 |
|
Delivery mode
|
Traditional
At a distance
|
|
Attendance
|
not mandatory
|
|
Evaluation methods
|
Written test
|
Group: CANALE 2
|
Derived from
|
20810098-1 GEOMETRY AND COMBINATORICS in Computer science and engineering L-8 CANALE 2 SALVITTI DARIO
(syllabus)
Elements of set theory. Maps between sets: invective, surjective, bijective maps. Elements of propositional logic, truth tables. Equivalence and order relations. Combinatorics. Binomial coefficients and binomial theorem. Permutations. The Integers: divisibility, GCD and Euclidean algorithm, Bézout identity, linear congruences. Baiscs of algebraic structures: permutation groups, abstract groups, polynomials and finite fields. Elements of graph theory.Lattices and Boolean algebras
(reference books)
Giulia Maria Piacentini Cattaneo Matematica discreta e applicazioni Zanichelli 2008
|
|
Dates of beginning and end of teaching activities
|
From 27/09/2021 to 21/01/2022 |
|
Delivery mode
|
Traditional
At a distance
|
|
Attendance
|
not mandatory
|
|
Evaluation methods
|
Written test
|
|
|