There is no compulsory prerequisite for attending the course. Students should know algebra and the Euclidean geometry. The knowledge of elements of trigonometry is also required.
Written test on the study of the function and on problems concerning the analytical geometry of the line. Oral discussion of the results obtained in the written test and verification of the theoretical knowledge relating to the mathematical models studied at lesson. Ongoing tests will be also scheduled
The objective of the course is to teach students the use of the essential mathematical tools for studying the quantitative and economic subjects of the graduate course. Moreover, students should learn to develop abstract models to analyze real problems.
Basic concepts and skills: equations and inequalities even higher than the second degree. The Cartesian plane and the analytical geometry of the straight line; logarithms and exponentials. (16 h)
The concept of real function of one real variable. Limits and continuity. Derivatives of functions of one real variable; study of the function’s pattern. Concept of integral of a real function. Indefinite (antiderivative function) integral. Definite integral for area calculation. (36 h).
Detailed study of the principal mathematical models for food technology. The population growth model with carrying capacity; the logistic model. (12 h)
Lecture notes delivered by the teacher. Duplicated lecture notes downloadable from the department website;
L. Lamberti, L. Mereu, A. Nanni Corso di matematica 1, 2, 3, ETAS Libri
The course consists of 64 h of lessons shared between theoretical lectures (44 h) and class exercises.