Teacher

prof. Lorenzo FREDDI

Credits

12 CFU

Language

Italian

Objectives

The aim of the course is to give the basic mathematical notions in order to develop the scientific work of an Electronic Engineer.

Acquired skills

- Evaluating limits and obtaining derivatives.
- Sketching graphs of functions of a single variable.
- Examining a series for convergence.
- Calculating integrals by parts, by substitution and calculating integrals of rational functions.
- Calculating line integrals.
- Solving variables separable differential equations and linear differential equations with constant coefficients.

Lectures and exercises (topics and specific content)

Basics: elements of logic and set theory, real and complex numbers (12 hours).
Calculus for a single variable: limits, differentiation, mean-value theorem, L’Hospital’s rule, Taylor’s theorem (18 hours).
Sequences and series: convergence criteria, power series (18 hours).
Integration: the fundamental theorem of calculus, integration by parts and by substitution, integration of rational functions (20 hours).
Calculus for several variables: partial differentiation, differentiation, line integrals (14 hours).
Ordinary differential equations: first-order linear ordinary differential equations, variables separable equations, linear differential equations with constant coefficients, existence and uniqueness theorem (18 hours).
Exercises (30 hours).
Labs (20 hours).

References

- Lecture notes of the course
- Bertsch, Dal Passo, Giacomelli. Analisi Matematica. McGraw-Hill
- Marcellini, Sbordone. Esercitazioni di Matematica, Liguori Editore

Type of exam

Written and oral