| ANALISI MATEMATICA I
(objectives)
Allow the acquisition of the method deductive logic and provide the basic mathematical tools of the calculation of differential and integral. Each topic will be introduced and strictly the treaty, carrying, sometimes, detailed demonstrations, and also doing large reference to physical meaning, geometric interpretation and application number. Proper methodology and a reasonable skill in the use of the concepts of calculation and its entirety and differential results will put in grade students in principle to face so easy application more topics that will take place in the following courses.
|
|
Code
|
20810232 |
|
Language
|
ITA |
|
Type of certificate
|
Profit certificate
|
|
Credits
|
12
|
|
Scientific Disciplinary Sector Code
|
MAT/05
|
|
Contact Hours
|
108
|
|
Type of Activity
|
Basic compulsory activities
|
Group: CANALE 1
|
Teacher
|
HAUS EMANUELE
(syllabus)
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.
(reference books)
Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw Hill
|
|
Dates of beginning and end of teaching activities
|
From 30/09/2024 to 17/01/2025 |
|
Delivery mode
|
Traditional
|
|
Attendance
|
not mandatory
|
|
Evaluation methods
|
Written test
Oral exam
|
|
Teacher
|
Marrocco Simone
(syllabus)
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.
|
|
Dates of beginning and end of teaching activities
|
From 30/09/2024 to 17/01/2025 |
|
Delivery mode
|
Traditional
|
|
Attendance
|
not mandatory
|
|
Evaluation methods
|
Written test
Oral exam
|
Group: CANALE 2
|
Teacher
|
FEOLA ROBERTO
(syllabus)
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.
(reference books)
Bertsch, Dall'Aglio, Giacomelli - Epsilon 1, Primo corso di Analisi Matematica . McGraw Hill
Marcellini, Sbordone - Analisi matematica uno
Marcellini, Sbordone - Esercitazioni di matematica Volume 1 Parte 1, 2.
|
|
Dates of beginning and end of teaching activities
|
From 30/09/2024 to 17/01/2025 |
|
Delivery mode
|
Traditional
|
|
Attendance
|
not mandatory
|
|
Evaluation methods
|
Written test
Oral exam
|
|
Teacher
|
Baroni Lorenzo
|
|
Dates of beginning and end of teaching activities
|
From 30/09/2024 to 17/01/2025 |
|
Attendance
|
not mandatory
|
|
|
Università Roma Tre