Functions of a real variable, linear algebra, vector spaces, limit of numerical sequences, continuous functions, bisection method, derivative and its rules, local and asymptotic analysis, Taylor polynomials, linearization, definite, indefinite and improper Riemann integral, vector functions between multidimensional real spaces, ordinary differential equations, mathematical modelling of simple interesting problems. Combinatorial calculus, elementary probability, basics of statistics
1. Matematica per le lauree triennali
Fabio Rosso, Lorenzo Fusi
ed. CEDAM, 2013
2, Esercizi di matematica per le lauree triennali
Fabio ROSSO, Lorenzo FUSI
ed. CEDAM, 2013
Learning Objectives
The aim of the course is to develop a suitable knowledge of the basic mathematics with a glance to applications without giving up a suitable conceptual and logical correctness.
Prerequisites
To reach the goal it is necessary (but not sufficient) that the student be totally confident with the basics of elementary algebra and calculus at the standard generally reached at high school level (set theory, Cartesian geometry, algebraic calculus, elementary trigonometry)
Teaching Methods
Lessons, exercises and practices by means of numerical and graphical simulations with the aim of a suitable numerical and symbolic mathematical software
Type of Assessment
Written examination based on selected topics of the course with the aim of clarify the level of understanding reached by the student compared with what expected as explained above. Questions require an extended answer (they are not multiple-choice type)
Course program
Functions of a real variable, linear algebra, vector spaces, limit of numerical sequences, continuous functions, bisection method, derivative and its rules, local and asymptotic analysis, Taylor polynomials, linearization, definite, indefinite and improper Riemann integral, vector functions between multidimensional real spaces, ordinary differential equations, mathematical modelling of simple interesting problems. Combinatorial calculus, elementary probability, basics of statistics