MATHEMATICAL ANALYSIS II
Academic Year 2021/2022 - 2° YearCredit Value: 12
Scientific field: MAT/05 - Mathematical analysis
Taught classes: 70 hours
Exercise: 30 hours
Term / Semester: One-year
Learning Objectives
To understand, learn, and use the fundamental tools of mathematical analysis II, as series of functions, free and constrained optimization, differential forms, multiple integrals, and (systems of) differential equations. To highlight their role in the mathematical modeling of classical problems arising from Physics. Be able to interpret and build simple mathematical models.
Course Structure
Classroom lectures and exercises.
Detailed Course Content
Sequences and series of functions. Metric spaces and functions between metric spaces. Differential calculus for functions of several variables. Curves and surfaces. Implicit functions and applications. Line integrals and differential forms. Ordinary differential equations. Measure and integral. Surface integrals.
Textbook Information
M. Bramanti – C.D. Pagani – S. Salsa, Analisi matematica 2, Zanichelli Editore, Bologna, 2009.
G. Di Fazio – P. Zamboni, Analisi Matematica Due, Monduzzi Editore, Bologna, 2008.
N. Fusco – P. Marcellini – C. Sbordone, Analisi Matematica due, Liguori Editore, Napoli, 1996.
P. Marcellini – C. Sbordone, Esercitazioni di Matematica, Vol. II, Liguori Editore, Napoli, 1988.
W. Rudin, Principles of Mathematical Analysis, McGraw-Hill, Singapore, 1976.