- Docente: Sandro Graffi
- Credits: 6
- SSD: MAT/07
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Chemistry and Materials Chemistry (cod. 8006)
Learning outcomes
At the end of the course the student will know the basic notions of real multivariable differential calculus; the most elementary methods for the solution of ordinary differential equations and the fundamental concepts of linear algebra. In particular the student can: calculate determinants; apply differentiable calculus to functions of several real variables; solve the most elementary differential equations.
Course contents
Ordered pairs, triples, n-tuples, points, vectors. Vector spaces, linear dependence and independence, bases. Linear transformations, matrices. Eigenvalues and eigenvectors. Functions of two or more variables: limits, continuity, partial derivates. Differentiability. Gradient, directional derivatives, critical points. Multiple integrals. Ordinary differential equations: separation of variables, first-order linear equations, higher order linear equations with constant coefficients.
Readings/Bibliography
- M. Bramanti, C. D. Pagani, S. Salsa, "Matematica: calcolo
infinitesimale e algebra lineare", 2nd ed., Zanichelli,
2004
- S. Salsa, A. Squellati, "Esercizi di matematica 1: calcolo
infinitesimale e algebra lineare", Zanichelli, 2001
- S. Salsa, A. Squellati, "Esercizi di matematica 2: calcolo
infinitesimale", Zanichelli, 2002
Teaching methods
Classroom lectures and recitations
Assessment methods
Written test (and possible oral exam)
Teaching tools
Office hours
See the website of Sandro Graffi