- Docente: Alessandro Gambini
- Credits: 8
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Single cycle degree programme (LMCU) in Chemistry and Pharmaceutical Technologies (cod. 8412)
Learning outcomes
At the end of the course students will have the basic knowledge of mathematics at university level that allow elementary applications in pharmaceutical sciences. In particular, students will be able to interpret and draw the graph of a function of one real variable; manipulate trigonometric functions, polynomial, exponential and logarithmic functions, use the basic tools of differential calculus, combinatorics and matrix.
Course contents
Fundamentals sets of numbers, sequences and series. Functions of one real variable, limits, continuity. Fundamental theorems of differential and integral calculus, graphs of functions, concept of primitive, techniques of integral calculus. Generalized integrals. Ordinary differential equations of first order. Outline of the differential calculus in two variables. Complex numbers.
Readings/Bibliography
Bodine, Lenhart, Gross. Matematica per le scienze della vita. De Agostini Scuola
Benedetto, Degli Esposti, Maffei. Matematica per le scienze della vita. Ambrosiana
Angelo Guerraggio. Matematica. Pearson
James Stewart. Calculus.
Franchini, Gambini. Esercizi di Matematica. Esculapio
Teaching methods
Lectures, in which primarily theoretical aspects of the topics
are presented. In particular, after introducing the basics, there
will be are sentences, and in some cases proven, the main theorems
and results in the context of differential and integral calculus
for functions of one real variable. Later on large space is
dedicated to the applications of the concepts and techniques
presented, and the resolution of exercises.
Assessment methods
The exam consists of a written test of 2 hours and 30 minutes, during which it is permitted to use books, notes, calculators, electronic media, and an oral test.
The exam consists of a written test with multiple-choice tests
and / or exercises with open answer followed by an oral test that
aims to verify the acquisition of the demonstrations presented in
the course. The oral exam is only possible if the written test was
passed with a minimum grade of 15/30. The final vote, out of
thirty, takes account of estimates reported in both tests. The
student may submit a written essay during the oral exam about
chemistry and biological sciences that uses mathematical concepts
learned during the course.
For both the written and the oral reservation is required on
AlmaEsami.
Links to further information
http://www.alessandrogambini.net
Office hours
See the website of Alessandro Gambini