Teaching - Università Roma Tre

ELEMENTS OF MATHEMATICS (objectives)

Code

20410880

Language

ITA

Type of certificate

Profit certificate

Credits

Scientific Disciplinary Sector Code

MAT/05

Contact Hours

Exercise Hours

Type of Activity

Basic compulsory activities

Group: CANALE 1

Teacher	REUVERS Robin Johannes Petrus
Dates of beginning and end of teaching activities	From to
Attendance	not mandatory

Group: CANALE 2

Teacher	SCOPPOLA ELISABETTA (syllabus) Numbers (naturali, integers, rationals, reals). Functions, their graphs. Injective, monotone, periodic functions. Composition and inversion of functions. Interpretation of the graph of a function. Elementary functions. Sequences and limits. Examples. Operations on limits, sum product and composition. Orders of magnitude. Some notable limits. Continuous functions. Differentiable functions. Geometric interpretation of the derivative. Derivative of elementary functions. Derivative of the product, sum, composition of functions. Second derivatives. Maxima and minima. Rolle and Lagrange theorems. Monotone functions. Theorem de l'Hopital. Taylor formula. Primitives and basic properties. Integration by parts and substitution. Rational functions. Riemann integrability. Differential equations. Vector spaces. Matrices and linear systems. (reference books) Marcellini-Sbordone: Elementi di Calcolo, Marcellini-Sbordone: Esercitazioni di Matematica
Dates of beginning and end of teaching activities	From to
Attendance	not mandatory
Evaluation methods	Written test Oral exam