Mathematical Analysis II M - Z
Academic Year 2022/2023 - Teacher: FRANCESCA FARACIExpected 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.
Detailed Course Content
Sequences and Series of Functions. Solving methods of some kind of differential equations. Differential calculus for functions of several variables. Implicit functions. Lebesgue measure theory. 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 e Serie di Funzioni. | Testo 1, cap. 1 |
| 2 | Metodi risolutivi di alcuni tipi di equazioni differenziali. | Testo 1, cap. 4 e cap. 5 |
| 3 | Calcolo differenziale per funzioni a più variabili. | Testo 1, cap. 3 |
| 4 | Funzioni implicite ed estremi vincolati. | Testo 1, cap. 11 |
| 5 | Teoria della misura di Lebesgue e calcolo dell'integrale. | Testo 1, cap. 8 e cap. 9 |
| 6 | Integrali curvilinei e forme differenziali. | Testo 1, cap. 6 e cap. 7 |