- Docente: Marco Lucarini
- 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
The aim of this course is to give a basic knowledge of
university-level mathematics, sufficient for elementary
applications in the pharmaceutical sciences . In particular, the
student is able to: interpret and plot the graph of a function of
one real variable; handle trigonometric, polynomial, exponential,
logarithmic functions; study the asymptotic behavior of elementary
mathematical models that are applicable in chemistry and biology;
use the basic tools of differentiable calculus.
Course contents
Trigonometry. Real, complex numbers and their fundamental properties. Functions. Graph of a function. Combinatorial calculus. Determinants. Elementary functions (linear, polynomial, rational, exponential, logarithmic, trigonometric functions). Elemntary series. Limits. Algebra of limits and other basic results. Algebra of continuous functions. Derivatives. Geometric interpretation of the derivative. Derivatives of elementary functions. De L'Hopital's Rule. Higher order derivatives. Maximum and minumum of a function on an interval. Graphing a function (detecting regions of increase, decrease, convexity up or down). Antiderivatives. Antiderivatives of elementary functions. Definite integral. Fundamental Theorem of Calculus. Integration methods (change of variable and integration by parts). Improper Integrals. Computation of areas in the plane. Elements of multivariable functions. Partial derivatives.
Readings/Bibliography
Slides and exercise will be distributed during the lessons.
Basic Mathematics for Chemists 2nd edition - Wiley
Teaching methods
Assessment methods
Written and oral examination
Office hours
See the website of Marco Lucarini