20810518-1 - GEOMETRY AND COMBINATORICS

The course aims to provide an introduction to basic concepts of discrete mathematics and linear algebra useful in science and engineering. The various topics will be approached using a concrete approach, using examples and problems to motivate the subject and to help student participation.

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

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

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

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