The natural, rational, real, complex numbers. Numerical sequences. Real functions of a real variable: differential calculus. Integration. Basic elements of Linear Algebra.
Bramanti, Pagani, Salsa, Matematica, Zanichelli, Bologna, 2004.
Marcellini, Sbordone, Elementi di Calcolo, Liguori Editore, Napoli, 2004.
Salsa, Squellati, Esercizi di matematica Vol. I, Zanichelli, Bologna, 2001
Learning Objectives
Aim of the course is to provide the students with basic instruments in order to deal with technical-scientific teachings characterizing the Laurea degree in Chemistry. In particular, the object of the course consists in giving the knowledge and the comprehension of the mathematical language besides the ability of making use of the essential techniques of Linear Algebra and Calculus.
Prerequisites
Courses to be used as requirements (required and/or recommended)
Courses required: none
Courses recommended: none
Teaching Methods
Total number of hours for Lectures (hours): 48
Total number of hours for Laboratory-field practice : 36
Type of Assessment
2 or 3 written tests in itinere (which can substitute the final written test), written test+oral test, at least 7 exam sessions.
Course program
The natural, rational, real, complex numbers. Numerical sequences. Real functions of a real variable: continuity, differentiability, graph, linear approximation, Taylor polynomial. Integration, integral functions. Basic elements of Linear Algebra: vectors, linear space, linear map, matrices and determinants, eigenvectors and eigenvalues; systems of linear equations.