ANALISI MATEMATICA II A - L
Academic Year 2026/2027 - Teacher: UMBERTO GUARNOTTAExpected Learning Outcomes
The aim of the course is to give students concepts of calculus II for several real variables function and problem-solving skills.
Course Structure
The courses is developed in theory and exercises.
To students with disabilities:
Students with disabilities may ask for a private meeting with the teacher to discuss about exams modality. For further information, contact Prof. A. Pagano.
Required Prerequisites
Attendance of Lessons
Detailed Course Content
Sequencies and Series of Functions. Differential calculus for functions of several variables. Implicit functions. Curvilinear integrals and differential forms.
Textbook Information
N. Fusco, P. Marcellini, C. Sbordone - Analisi Matematica 2, Liguori Editori.
J.P. Cecconi, G. Stampacchia- Analisi Matematica vol 2, Liguori Editori.
P. Marcellini, C. Sbordone - Esercizi di Matematica vol. 2, Liguori Editore.
J.P. Cecconi, G. Stampacchia- Esercizi e problemi di analisi matematica (Vol. 2)
Course Planning
| Subjects | Text References | |
|---|---|---|
| 1 | Successioni. Serie di Funzioni e sviluppabilità in serie. | Testo 1, cap. 1 |
| 2 | Calcolo differenziale per funzioni a più variabili. | Testo 1, cap. 3 |
| 3 | Funzioni implicite ed estremi vincolati. | Testo 1, cap. 11 |
| 4 | Metodi risolutivi degli integrali di due e tre variabili. | Testo 1, cap. 8 e cap. 9 |
| 5 | Integrali curvilinei e forme differenziali. | Testo 1, cap. 6 e cap. 7 |
Learning Assessment
Learning Assessment Procedures
Examples of frequently asked questions and / or exercises
The main types of exercises related to the content of the Mathematical Analysis II course are the following:
Computation of limits of real-valued functions of several real variables, and studying the continuity, partial differentiability, and differentiability of real-valued functions of several real variables.
Finding unconstrained and constrained local extrema of real-valued functions of several real variables.
Finding global extrema of real-valued functions of several real variables.
Computation of double and triple integrals.
Computation of line integrals.
Computation of surface integrals and flux integrals.
Studying the exactness of a differential form and finding the potential functions of an exact differential form.
Computation of line integrals of differential forms.
Studying the convergence of sequences and series of functions.