Academic Year 2023/2024 - Teacher: FRANCESCA FARACI

Expected 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

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

 SubjectsText References
1Serie di Funzioni e sviluppabilità in serie. Testo 1, cap. 1
2Calcolo differenziale per funzioni a più variabili.Testo 1, cap. 3
3Funzioni implicite ed estremi vincolati.Testo 1, cap. 11
4Metodi 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