Earth sciences | University of Parma

Professor
Academic discipline: Matematiche complementari (MAT/04)
Field: Discipline matematiche
Type of training activity: Basic

72 hours
of face-to-face activities

9 credits

hub: PARMA

course unit
in - - -

lectures timetable unavailable

exam calls

Learning objectives

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 unit content

Reference to Arithmetic, Algebra and Euclidean and Cartesian Geometry learning in the previous school. A short account of vector calculus (in two dimensions). Real functions of one real variable and the study of functions. Differential calculus and Taylor expansion formula. Integral Calculus. Differential equations. A short treatment of many variables functions.

Full programme

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.

Bibliography

V. Villani, Matematica per le discipline bio-mediche, McGraw-Hill.
J. Stewart, Calcolo. Funzioni di una variabile, Apogeo.

Teaching methods

Frontal lectures and exercises also with work in groups

Assessment methods and criteria

Written task

Other information

During the teaching period student will have partial written tests which would substitute the final written task

PRINCIPLES OF MATHEMATICS cod. 13137