The course aims to provide the students with theoretical and applicative fundamentals about calculus. The course is addressed to students in food technologies and, more generally in biological disciplines. At the end of the course the students should demonstrate an understanding of differential calculus, integral calculus and linear algebra for simple applications to real-world situations. This course is supplemented by the course of Calculus - exercises.
1. Functions and their graph. Monotonicity. One-one and onto functions.
2. Functions and their graph. Onto and invertible functions
3. Limit of a function to a finite point
4. Limit of a function to infinity. Asymptotes
5. Continuity
7. Derivative as rate of change: definition
Education: 1982 – M.S. degree cum Laude in Mathematics. University of Naples “Federico II”; 1988 – P.h.D in Applied Mathematics. University of Naples “Federico II”.
Working position: 1986 – 1988 Argonne National Laboratory, MCS Division (J.J. More’ advisor). Ass. Student; 1989 – 1993 University of Basilicata, Dpt. of Phys. and Eng., Assist. Professor; 1993 – 2003 The University of Naples Federico II. Agronomy School, DIAAT, Ass. Professor of Numerical Analysis; 2003 – present Full Professor of Numerical Analysis; 2006-2008 Chairman of the first and second degree course in Food Technology (Scienze e Tecnologie Alimentari) (awarded in 2008 with the quality certification from the italian ministry of research).
Associate editor for: Computational Optimization and Applications and Optimization Letters (Springer publisher).
Main Research topics:
1. Nonlinear convex continous optimization
2. Global Optimization
3. Applications
4. Use of advanced technologies in learning process