- Docente: Fausto Desalvo
- Credits: 9
- SSD: MAT/03
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Geological Sciences (cod. 8015)
Learning outcomes
Objectives of the corse
To provide fundamental mathematical elements to understand other classes, in particular physical ones and to describe geological systems and processes.
Prerequisitiesequations and inequations, trigonometric functions
Course contents
Mentions: sets, real and complex numbers, trigonometric functions, linear and second degree equations and inequalities (chap. 3, par. 6, 7, 10, 12), exponential and logarithmic functions (chap. 8, par. 11).
Analysis elements: limit, continuity (chap. 6, par. 1-22, terms 23-25 e 28-29, 31), infinitesimal and infinity. Derivative and its rules, Hospital theorem, graph of function (chap. 7, par. 1-13).
Riemann Integration by parts and by change of variable rule (chap. 8, par. 1-10, 16, 19).
Analysis complement: two variables functions: partial derivative, maxima and minima, saddle point, integration. (chap. 7, par. 14-16, cap. 8, par. 21). Differential equation. (chap. 10, par. 1,2,7 for n=2)
Linear algebra elements (chap. 5): matrix (def. pag. 171, par. 23) , determinant (par. 24), simultaneous linear equations (par. 25-26).
Geometry elements (chap. 5): euclidean plane (par. 1-12, example 5 pag. 175) and space geometry (par. 13-21).
Readings/Bibliography
G.PELLACANI, G. PETTINI & C. VETTORI, Istituzioni di Matematica , CLUEB, Bologna
G.PELLACANI, G. PETTINI & C. VETTORI, Esercizi di Matematica, CLUEB, Bologna
authorized slides from www.matematika.it are in Teaching material
Teaching methods
Lectures
Assessment methods
Written and oral test
Teaching tools
Lectures and exercises in lecture hall
Office hours
See the website of Fausto Desalvo