MATHEMATICS
Learning outcomes of the course unit
To give the basic mathematical notions for a correct scientific approach to the mathematical ideas related to Geological and Natural Sciences
To study and to deepen basic notions of Mathematics, with particular attention to concepts meaning. To furnish instruments and methods to describe and to interpret situations and data.
Prerequisites
Basic mathematics knowledge
Course contents summary
Basic elements of Calculus, Linear Algebra and Mathematical Analysis
Richiami degli argomenti di Aritmetica, Algebra e Geometria euclidea e cartesiana della scuola preuniversitaria. Cenni di calcolo vettoriale (in due dimensioni). Funzioni reali di variabili reali e studio di funzioni. Calcolo differenziale e sviluppo di Taylor. Calcolo integrale. Equazioni differenziali. Cenni allo studio di funzioni di più variabili.
Course contents
Natural numbers, decimal numbers, real numbers and intervals. Vectors in two dimensions.The concept of function: definition, graph, domaine and range; graphical representation. Elementary Functions: rational functions, algebraic functions, trigonometric, exponential and logarithmic; compound functions. Concept of limit. Fundamental ideas of integral and differential calculus: integral as area, integration rules, derivative and tangent, differentiability and continuity of functions, definition of differential. Differential equations. Two variables functions.
Recommended readings
Marcellini P., Sbordone C. - Elementi di Matematica – Liguori Editore
Bigatti A.M., Robbiano L. – Matematica di Base – Casa Editrice Ambrosiana
V. Villani, Matematica per le discipline bio-mediche, McGraw-Hill.
J. Stewart, Calcolo. Funzioni di una variabile, Apogeo.
Teaching methods
Theoretical and applied classroom teaching. Clarifying individual meeting if required by the student
Frontal lectures and exercises also with work in groups
Assessment methods and criteria
Final written examination divided into a preliminary closed-ended questionnaire and a following open-ended questionnaire. The student can go through with the second questionnaire only passing the first
Written task
Other informations
During the teaching period student will have partial written tests which would substitute the final written task
