20810518-1 - GEOMETRY AND COMBINATORICS

The course aims to provide an introduction to those aspects of linear algebra and geometry needed in science and engineering.

Curriculum

Canali

teacher profile | teaching materials

Programme

Basics of set theory. Maps between sets: invective, surjective, bijective maps.
Basics of propositional logic, truth tables. Equivalence and order relations.
Elements of combinatorics. Binomial coefficients and binomial theorem. Permutations. Integers: divisibility, GCD and Euclid's algorithm, Bézout's identity, linear congruences.
Matrices and operations between matrices. Linear systems and their resolution.

Core Documentation

Giulia Maria Piacentini Cattaneo
Matematica discreta e applicazioni
Zanichelli 2008


Reference Bibliography

Nicholson Algebra lineare McGraw-Hill 2001

Attendance

recommended attendance

Type of evaluation

written test

Canali

teacher profile | teaching materials

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 MEROLA FRANCESCA

Programme

Basics of set theory. Maps between sets: invective, surjective, bijective maps.
Basics of propositional logic, truth tables. Equivalence and order relations.
Elements of combinatorics. Binomial coefficients and binomial theorem. Permutations. Integers: divisibility, GCD and Euclid's algorithm, Bézout's identity, linear congruences.
Matrices and operations between matrices. Linear systems and their resolution.

Core Documentation

Giulia Maria Piacentini Cattaneo
Matematica discreta e applicazioni
Zanichelli 2008


Reference Bibliography

Nicholson Algebra lineare McGraw-Hill 2001

Attendance

recommended attendance

Type of evaluation

written test

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2

Canali

teacher profile | teaching materials

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 MEROLA FRANCESCA

Programme

Basics of set theory. Maps between sets: invective, surjective, bijective maps.
Basics of propositional logic, truth tables. Equivalence and order relations.
Elements of combinatorics. Binomial coefficients and binomial theorem. Permutations. Integers: divisibility, GCD and Euclid's algorithm, Bézout's identity, linear congruences.
Matrices and operations between matrices. Linear systems and their resolution.

Core Documentation

Giulia Maria Piacentini Cattaneo
Matematica discreta e applicazioni
Zanichelli 2008


Reference Bibliography

Nicholson Algebra lineare McGraw-Hill 2001

Attendance

recommended attendance

Type of evaluation

written test

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2

Canali

teacher profile | teaching materials

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 MEROLA FRANCESCA

Programme

Basics of set theory. Maps between sets: invective, surjective, bijective maps.
Basics of propositional logic, truth tables. Equivalence and order relations.
Elements of combinatorics. Binomial coefficients and binomial theorem. Permutations. Integers: divisibility, GCD and Euclid's algorithm, Bézout's identity, linear congruences.
Matrices and operations between matrices. Linear systems and their resolution.

Core Documentation

Giulia Maria Piacentini Cattaneo
Matematica discreta e applicazioni
Zanichelli 2008


Reference Bibliography

Nicholson Algebra lineare McGraw-Hill 2001

Attendance

recommended attendance

Type of evaluation

written test

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2