- Docente: Daniele Fazzi
- Credits: 3
- SSD: MAT/01
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Chemical methodologies for products and processes (cod. 5881)
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from Oct 10, 2022 to Nov 17, 2022
Learning outcomes
In this course the students acquire basic knowledge and understanding about the most common mathematical elements and functions in the description of physical and chemical-physical phenomena. The concepts of limits, derivatives and differentials, the calculation of integrals and multivariable functions will be introduced and commented with practical examples and exercises. The course aims also to provide a general understanding about statistics and data analysis. Furthermore, fundamental concepts related to the definition of algorithm, variable declaration, flow control constructs (if-then-else), "do" loops, data structures (one-dimensional and two-dimensional arrays, vectors and matrices), libraries, and simple scripting will be provided. Students will be able to use the basic functions of spreadsheet programs and the functions of interest for data analysis and their graphical representation.
Course contents
The course introduces the basic concepts of linear algebra, mathematical analysis and numerical calculus.
In the first part the notions of vector, vector space, matrix and related algebraic operations will be introduced. The concepts of function, limit, derivative and integral will be consolidated, providing application examples of practical importance for physics and chemistry. The basic concepts of statistical data analysis will be introduced, deepening the notions of distribution and regression procedures.
In the second part of the course, the basic notions of numerical calculation will be provided through the use of spreadsheets. Logical operations, control constructs and conditional formulas will be introduced, together with the statistical analysis of the data and their graphical representation.
Readings/Bibliography
Principal textbook:
V. Villani, G. Gentili "Matematica - comprendere e interpretare fenomeni delle scienze della vita".
Further readings:
1) M. Bramanti, C. D. Pagani, S. Salsa - Analisi Matematica I con elementi di geometria e algebra lineare - Zanichelli 2014.
2) J.R. Taylor, Introduzione all'analisi dell'errore. Lo studio delle incertezze nelle misure fisiche, Editore: Zanichelli, Anno edizione: 2000
Teaching methods
The course includes classical lectures and computer-based exercises for practical applications.
Assessment methods
The final examination consists of two parts: a first one, assessing the basic concepts of linear algebra and mathematics, a second one related to a numerical exercise (data analysis) via computer-based program.
Teaching tools
1) PC + beamer, openboard, lecture handouts
2) Computer exercises
3) Lecture materials presented will be made available to the student through the platform VIRTUALE.
Office hours
See the website of Daniele Fazzi