To allow the acquisition of the deductive-logic method and provide basic mathematical tools for the differential and integral calculus. Each topic will be strictly introduced and treated by carrying out, whenever needed, detailed demonstrations and by referring largely to the physical meaning, the geometrical interpretation and the numerical application. A proper methodology combined with a reasonable skill in the use of the concepts and results of the integro-differential calculus, will enable students to face more applicative concepts that will be tackled during the succeeding courses.
Curriculum
Canali
teacher profile teaching materials
Sequences, definition of limit, operations with limits, comparison theorems, infinities of increasing order.
Limits of functions, continuity, connection with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maxima and minima, applications to the study of functions.
Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals.
Numerical series, simple and absolute convergence, convergence criteria.
Differential equations, method of separation of variables, linear equations of first and second order.
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte prima - Liguori
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte seconda - Liguori
Programme
Real numbers and functions, basic set theory, induction principle, upper and lower bound.Sequences, definition of limit, operations with limits, comparison theorems, infinities of increasing order.
Limits of functions, continuity, connection with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maxima and minima, applications to the study of functions.
Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals.
Numerical series, simple and absolute convergence, convergence criteria.
Differential equations, method of separation of variables, linear equations of first and second order.
Core Documentation
P. Marcellini, C. Sbordone - Elementi di Analisi Matematica uno - LiguoriP. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte prima - Liguori
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte seconda - Liguori
Reference Bibliography
P. Marcellini, C. Sbordone - Elementi di Analisi Matematica uno - Liguori P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte prima - Liguori P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte seconda - LiguoriAttendance
Attending classes is not mandatory but it is strongly advisedType of evaluation
Written test or intermediate test teacher profile teaching materials
Sequences, definition of limit, operations with limits, comparison theorems, infinitives of increasing order.
Limits of function, continuity, link with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maximums and minimums, applications to the study of functions. Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals. Numerical series, simple and absolute convergence, convergence criteria.
Complex numbers.
Solution of linear differential equations and separable differential equations.
Programme
Real numbers and functions, set theory, induction principle, infimum and supremum.Sequences, definition of limit, operations with limits, comparison theorems, infinitives of increasing order.
Limits of function, continuity, link with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maximums and minimums, applications to the study of functions. Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals. Numerical series, simple and absolute convergence, convergence criteria.
Complex numbers.
Solution of linear differential equations and separable differential equations.
Core Documentation
Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw HillReference Bibliography
Marcellini, Sbordone - Analisi matematica uno Marcellini, Sbordone - Esercitazioni di matematica Volume 1 Parte 1, 2. Marcellini, Sbordone - Elementi di Analisi matematica 1. Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw Hill S. Lang, A First Course in Calculus, Springer Ed. L.Chierchia, Corso di Analisi - Prima parte, McGraw Hill (2019)Attendance
Attendance is not compulsory but is nevertheless strongly recommended.Type of evaluation
Written test: 2 ongoing tests Written test for each session aimed at evaluating the student's ability to carry out exercises, including theoretical ones. Oral exam at the discretion of the teacher.Canali
teacher profile teaching materials
Sequences, definition of limit, operations with limits, comparison theorems, infinities of increasing order.
Limits of functions, continuity, connection with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maxima and minima, applications to the study of functions.
Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals.
Numerical series, simple and absolute convergence, convergence criteria.
Differential equations, method of separation of variables, linear equations of first and second order.
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte prima - Liguori
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte seconda - Liguori
Mutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 BATTAGLIA LUCA,
Programme
Real numbers and functions, basic set theory, induction principle, upper and lower bound.Sequences, definition of limit, operations with limits, comparison theorems, infinities of increasing order.
Limits of functions, continuity, connection with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maxima and minima, applications to the study of functions.
Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals.
Numerical series, simple and absolute convergence, convergence criteria.
Differential equations, method of separation of variables, linear equations of first and second order.
Core Documentation
P. Marcellini, C. Sbordone - Elementi di Analisi Matematica uno - LiguoriP. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte prima - Liguori
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte seconda - Liguori
Reference Bibliography
Marcellini, Sbordone - Analisi matematica uno Marcellini, Sbordone - Esercitazioni di matematica Volume 1 Parte 1, 2. Marcellini, Sbordone - Elementi di Analisi matematica 1. Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw Hill S. Lang, A First Course in Calculus, Springer Ed. L.Chierchia, Corso di Analisi - Prima parte, McGraw Hill (2019)Attendance
Attending classes is not mandatory but it is strongly advisedType of evaluation
Written test or intermediate testMutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 BATTAGLIA LUCA,
teacher profile teaching materials
Sequences, definition of limit, operations with limits, comparison theorems, infinitives of increasing order.
Limits of function, continuity, link with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maximums and minimums, applications to the study of functions. Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals. Numerical series, simple and absolute convergence, convergence criteria.
Complex numbers.
Solution of linear differential equations and separable differential equations.
Mutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2 HAUS EMANUELE,
Programme
Real numbers and functions, set theory, induction principle, infimum and supremum.Sequences, definition of limit, operations with limits, comparison theorems, infinitives of increasing order.
Limits of function, continuity, link with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maximums and minimums, applications to the study of functions. Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals. Numerical series, simple and absolute convergence, convergence criteria.
Complex numbers.
Solution of linear differential equations and separable differential equations.
Core Documentation
Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw HillReference Bibliography
Marcellini, Sbordone - Analisi matematica uno Marcellini, Sbordone - Esercitazioni di matematica Volume 1 Parte 1, 2. Marcellini, Sbordone - Elementi di Analisi matematica 1. Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw Hill S. Lang, A First Course in Calculus, Springer Ed. L.Chierchia, Corso di Analisi - Prima parte, McGraw Hill (2019)Attendance
Attendance is not compulsory but is nevertheless strongly recommended.Type of evaluation
Written test: 2 ongoing tests Written test for each session aimed at evaluating the student's ability to carry out exercises, including theoretical ones. Oral exam at the discretion of the teacher.Mutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2 HAUS EMANUELE,
Canali
teacher profile teaching materials
Sequences, definition of limit, operations with limits, comparison theorems, infinities of increasing order.
Limits of functions, continuity, connection with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maxima and minima, applications to the study of functions.
Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals.
Numerical series, simple and absolute convergence, convergence criteria.
Differential equations, method of separation of variables, linear equations of first and second order.
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte prima - Liguori
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte seconda - Liguori
Mutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 BATTAGLIA LUCA,
Programme
Real numbers and functions, basic set theory, induction principle, upper and lower bound.Sequences, definition of limit, operations with limits, comparison theorems, infinities of increasing order.
Limits of functions, continuity, connection with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maxima and minima, applications to the study of functions.
Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals.
Numerical series, simple and absolute convergence, convergence criteria.
Differential equations, method of separation of variables, linear equations of first and second order.
Core Documentation
P. Marcellini, C. Sbordone - Elementi di Analisi Matematica uno - LiguoriP. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte prima - Liguori
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte seconda - Liguori
Reference Bibliography
Marcellini, Sbordone - Analisi matematica uno Marcellini, Sbordone - Esercitazioni di matematica Volume 1 Parte 1, 2. Marcellini, Sbordone - Elementi di Analisi matematica 1. Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw Hill S. Lang, A First Course in Calculus, Springer Ed. L.Chierchia, Corso di Analisi - Prima parte, McGraw Hill (2019)Attendance
Attending classes is not mandatory but it is strongly advisedType of evaluation
Written test or intermediate testMutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 BATTAGLIA LUCA,
teacher profile teaching materials
Sequences, definition of limit, operations with limits, comparison theorems, infinitives of increasing order.
Limits of function, continuity, link with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maximums and minimums, applications to the study of functions. Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals. Numerical series, simple and absolute convergence, convergence criteria.
Complex numbers.
Solution of linear differential equations and separable differential equations.
Mutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2 HAUS EMANUELE,
Programme
Real numbers and functions, set theory, induction principle, infimum and supremum.Sequences, definition of limit, operations with limits, comparison theorems, infinitives of increasing order.
Limits of function, continuity, link with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maximums and minimums, applications to the study of functions. Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals. Numerical series, simple and absolute convergence, convergence criteria.
Complex numbers.
Solution of linear differential equations and separable differential equations.
Core Documentation
Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw HillReference Bibliography
Marcellini, Sbordone - Analisi matematica uno Marcellini, Sbordone - Esercitazioni di matematica Volume 1 Parte 1, 2. Marcellini, Sbordone - Elementi di Analisi matematica 1. Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw Hill S. Lang, A First Course in Calculus, Springer Ed. L.Chierchia, Corso di Analisi - Prima parte, McGraw Hill (2019)Attendance
Attendance is not compulsory but is nevertheless strongly recommended.Type of evaluation
Written test: 2 ongoing tests Written test for each session aimed at evaluating the student's ability to carry out exercises, including theoretical ones. Oral exam at the discretion of the teacher.Mutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2 HAUS EMANUELE,
Canali
teacher profile teaching materials
Sequences, definition of limit, operations with limits, comparison theorems, infinities of increasing order.
Limits of functions, continuity, connection with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maxima and minima, applications to the study of functions.
Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals.
Numerical series, simple and absolute convergence, convergence criteria.
Differential equations, method of separation of variables, linear equations of first and second order.
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte prima - Liguori
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte seconda - Liguori
Mutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 BATTAGLIA LUCA,
Programme
Real numbers and functions, basic set theory, induction principle, upper and lower bound.Sequences, definition of limit, operations with limits, comparison theorems, infinities of increasing order.
Limits of functions, continuity, connection with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maxima and minima, applications to the study of functions.
Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals.
Numerical series, simple and absolute convergence, convergence criteria.
Differential equations, method of separation of variables, linear equations of first and second order.
Core Documentation
P. Marcellini, C. Sbordone - Elementi di Analisi Matematica uno - LiguoriP. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte prima - Liguori
P. Marcellini, C. Sbordone - Esercitazioni di Matematica 1° volume parte seconda - Liguori
Reference Bibliography
Marcellini, Sbordone - Analisi matematica uno Marcellini, Sbordone - Esercitazioni di matematica Volume 1 Parte 1, 2. Marcellini, Sbordone - Elementi di Analisi matematica 1. Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw Hill S. Lang, A First Course in Calculus, Springer Ed. L.Chierchia, Corso di Analisi - Prima parte, McGraw Hill (2019)Attendance
Attending classes is not mandatory but it is strongly advisedType of evaluation
Written test or intermediate testMutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 BATTAGLIA LUCA,
teacher profile teaching materials
Sequences, definition of limit, operations with limits, comparison theorems, infinitives of increasing order.
Limits of function, continuity, link with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maximums and minimums, applications to the study of functions. Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals. Numerical series, simple and absolute convergence, convergence criteria.
Complex numbers.
Solution of linear differential equations and separable differential equations.
Mutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2 HAUS EMANUELE,
Programme
Real numbers and functions, set theory, induction principle, infimum and supremum.Sequences, definition of limit, operations with limits, comparison theorems, infinitives of increasing order.
Limits of function, continuity, link with the limits of sequences, theorems on continuous functions.
Derivatives, geometric meaning, theorems on differentiable functions, relative maximums and minimums, applications to the study of functions. Indefinite integrals, integration by parts and by substitution, definite integrals, fundamental theorem of integral calculus, improper integrals. Numerical series, simple and absolute convergence, convergence criteria.
Complex numbers.
Solution of linear differential equations and separable differential equations.
Core Documentation
Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw HillReference Bibliography
Marcellini, Sbordone - Analisi matematica uno Marcellini, Sbordone - Esercitazioni di matematica Volume 1 Parte 1, 2. Marcellini, Sbordone - Elementi di Analisi matematica 1. Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw Hill S. Lang, A First Course in Calculus, Springer Ed. L.Chierchia, Corso di Analisi - Prima parte, McGraw Hill (2019)Attendance
Attendance is not compulsory but is nevertheless strongly recommended.Type of evaluation
Written test: 2 ongoing tests Written test for each session aimed at evaluating the student's ability to carry out exercises, including theoretical ones. Oral exam at the discretion of the teacher.Mutuazione: 20810232 ANALISI MATEMATICA I in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2 HAUS EMANUELE,
