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
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.
Matematica discreta e applicazioni
Zanichelli 2008
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 CattaneoMatematica discreta e applicazioni
Zanichelli 2008
Reference Bibliography
Nicholson Algebra lineare McGraw-Hill 2001Attendance
recommended attendanceType of evaluation
written test teacher profile teaching materials
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.
G. Accascina e V. Monti, Geometria Il testo contiene sia la teoria che gli esercizi.
Delizia-Longobardi-Maj-Nicotera, Matematica Discreta, McGraw Hill.
Procesi-Rota, Elementi di algebra e matematica discreta. Accademica.
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
Piacentini Cattaneo, Matematica discreta. Zanichelli.G. Accascina e V. Monti, Geometria Il testo contiene sia la teoria che gli esercizi.
Delizia-Longobardi-Maj-Nicotera, Matematica Discreta, McGraw Hill.
Procesi-Rota, Elementi di algebra e matematica discreta. Accademica.
Attendance
Attendance is optional and the understanding of the text adopted is sufficient for the full use of the course. Of course, attendance is desirable and STRONGLY recommended, as the interaction between teacher and students is a fundamental and unrepeatable teaching tool.Type of evaluation
two hours written exam with theorical and practical problemsCanali
teacher profile teaching materials
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.
Matematica discreta e applicazioni
Zanichelli 2008
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 CattaneoMatematica discreta e applicazioni
Zanichelli 2008
Reference Bibliography
Nicholson Algebra lineare McGraw-Hill 2001Attendance
recommended attendanceType of evaluation
written test teacher profile teaching materials
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.
G. Accascina e V. Monti, Geometria Il testo contiene sia la teoria che gli esercizi.
Delizia-Longobardi-Maj-Nicotera, Matematica Discreta, McGraw Hill.
Procesi-Rota, Elementi di algebra e matematica discreta. Accademica.
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
Piacentini Cattaneo, Matematica discreta. Zanichelli.G. Accascina e V. Monti, Geometria Il testo contiene sia la teoria che gli esercizi.
Delizia-Longobardi-Maj-Nicotera, Matematica Discreta, McGraw Hill.
Procesi-Rota, Elementi di algebra e matematica discreta. Accademica.
Attendance
Attendance is optional and the understanding of the text adopted is sufficient for the full use of the course. Of course, attendance is desirable and STRONGLY recommended, as the interaction between teacher and students is a fundamental and unrepeatable teaching tool.Type of evaluation
two hours written exam with theorical and practical problemsCanali
teacher profile teaching materials
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.
Matematica discreta e applicazioni
Zanichelli 2008
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 CattaneoMatematica discreta e applicazioni
Zanichelli 2008
Reference Bibliography
Nicholson Algebra lineare McGraw-Hill 2001Attendance
recommended attendanceType of evaluation
written test teacher profile teaching materials
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.
G. Accascina e V. Monti, Geometria Il testo contiene sia la teoria che gli esercizi.
Delizia-Longobardi-Maj-Nicotera, Matematica Discreta, McGraw Hill.
Procesi-Rota, Elementi di algebra e matematica discreta. Accademica.
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
Piacentini Cattaneo, Matematica discreta. Zanichelli.G. Accascina e V. Monti, Geometria Il testo contiene sia la teoria che gli esercizi.
Delizia-Longobardi-Maj-Nicotera, Matematica Discreta, McGraw Hill.
Procesi-Rota, Elementi di algebra e matematica discreta. Accademica.
Attendance
Attendance is optional and the understanding of the text adopted is sufficient for the full use of the course. Of course, attendance is desirable and STRONGLY recommended, as the interaction between teacher and students is a fundamental and unrepeatable teaching tool.Type of evaluation
two hours written exam with theorical and practical problemsCanali
teacher profile teaching materials
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.
Matematica discreta e applicazioni
Zanichelli 2008
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 CattaneoMatematica discreta e applicazioni
Zanichelli 2008
Reference Bibliography
Nicholson Algebra lineare McGraw-Hill 2001Attendance
recommended attendanceType of evaluation
written test teacher profile teaching materials
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.
G. Accascina e V. Monti, Geometria Il testo contiene sia la teoria che gli esercizi.
Delizia-Longobardi-Maj-Nicotera, Matematica Discreta, McGraw Hill.
Procesi-Rota, Elementi di algebra e matematica discreta. Accademica.
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
Piacentini Cattaneo, Matematica discreta. Zanichelli.G. Accascina e V. Monti, Geometria Il testo contiene sia la teoria che gli esercizi.
Delizia-Longobardi-Maj-Nicotera, Matematica Discreta, McGraw Hill.
Procesi-Rota, Elementi di algebra e matematica discreta. Accademica.
Attendance
Attendance is optional and the understanding of the text adopted is sufficient for the full use of the course. Of course, attendance is desirable and STRONGLY recommended, as the interaction between teacher and students is a fundamental and unrepeatable teaching tool.Type of evaluation
two hours written exam with theorical and practical problems