2017/2018

2018/2019

DM270

MAT/05 (MATHEMATICAL ANALYSIS)

DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

PERCORSO COMUNE

2°

1st semester (01/10/2018 - 18/01/2019)

6

60 lesson hours

Italian

WRITTEN AND ORAL TEST

SPINOLO LAURA VALENTINA (titolare) - 6 ECTS

Fundamental notions and results from the Analysis I and Geometry courses.

The course aims at providing the fundamental notions concerning
1) ordinary differential equations
2) differential and integral calculus for multivariable functions
The course will mostly focus on the understanding of the main definitions and results, rather than on proofs. Examples and exercises will be extensively discussed. At the end of the course students will be expected to solve exercises concerning first and second order differential equations, partial and directional derivatives, multiple integrals, line and surface integrals, and to master the fundamental definitions and results

1. Ordinary differential equations
2. Differential calculus for curves
3. Calculus for real-valued functions of several space variables
4. Calculus for vector-valued functions of several variables
5. Integration for functions of several variables
6. Vector fields and surface integrals

Traditional chalkboard classes, discussion sessions and tutoring

M. Bramanti, C.D. Pagani and S. Salsa. Analisi matematica 2. Zanichelli.

The final exam is a written open-answer test.

If a student has passed the written exam, he/she can (but does not have to) take an oral exam.

The instructor might also ask a specific student to take the oral exam: in this case, taking the oral exam is mandatory.

Further information concerning the course is available at the web page
http://arturo.imati.cnr.it/spinolo/analisiII.htm