- Docente: Roberto Berardi
- Credits: 13
- SSD: MAT/03
- Language: Italian
- Moduli: Roberto Berardi (Modulo 1) Claudio Zannoni (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Ravenna
- Corso: First cycle degree programme (L) in Chemistry and Technologies for the Environment and Materials (cod. 8515)
Learning outcomes
At the end of the course, the student will have the basic knowledge of differential and integral calculus for functions of one real variable, vector calculus and linear algebra, the first elements of calculus for functions of several variables, complex numbers, knows most basic methods for the solution of differential equations. In particular, the student is able to represent data in graphical form or functions, run applications of differential and integral calculus for functions of one or more real variables, perform operations with vectors and matrices and knows how to solve systems of linear equations. [courtesy of Google Translate.]
Course contents
Module #1: Complex numbers, Euler's formula, approximation of
functions, Taylor series, vectors and matrices, linear
transformations, eigenvalues and eigenvectors, linear regression,
least squares, bases of orthogonal functions, Fourier transform,
probability.
Module #2: Elementary functions, polynomials, logarithms,
exponential functions, trigonometric functions and their inverses,
limits and continuity, derivatives, Rolle, Lagrange, de l'Hopital,
and Taylor's theorem, curve sketching, integrals, integration by parts and by
substitution, definite integrals.
Readings/Bibliography
Tom M. Apostol, ``Calcolo'', volume II ``Geometria'', (Bollati Boringhieri, Torino 1979) - ISBN10:8833950344, ISBN13:9788833950341.
Claudio Canuto, Anita Tabacco, ``Analisi Matematica I'', 4a edizione, (Springer-Verlag, Milano 2014) - ISBN13:9788847057227.
Notes provided at lecture time.
Teaching methods
Lectures and exercises.
Assessment methods
Written midterm tests (during term). Final written examination.
Teaching tools
Beamer, interactive display, and classroom response system (clickers).
Office hours
See the website of Roberto Berardi
See the website of Claudio Zannoni