B0042 - Laboratory of Math and Applied Physics P-LU

Academic Year 2024/2025

  • Moduli: Laura Pasqualini (Modulo 1) Marco Corvo (Modulo 2)
  • Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
  • Campus: Bologna
  • Corso: First cycle degree programme (L) in Mechatronics (cod. 6009)

Learning outcomes

At the end of the laboratory the student knows the fundamentals of a symbolic and numerical calculation program and uses it to solve simple calculus problems, linear algebra and mathematical modeling. The student acquires dexterity with the measuring instruments and the handling of errors. Furthermore, he approaches numerical and statistical calculation with professional rigor.

Course contents

Laboratory module

Theory - Introduction to the theory of measures; error propagation; random fluctuations and systematic effects; precision and accuracy; evaluation of the uncertainty of a result; Gauss distribution; binomial and Poisson distribution; linear correlation; notes on probability theory; statistical distributions; rejection of experimental measures.

Laboratory tests

Various experiences with Phyton modules to reproduce program topics: data fit and animations, probability calculation, visualization of statistical distributions, kinematics, thermodynamics and neural networks. The student will be guided on simulations of didactic experiences.

The student will also be able to build a laboratory project, autonomously.

Readings/Bibliography

During the course of the program, the material presented during the lessons will be made available in terms of slides in pdf format.

Books

J. R. Tayor "Introduzione all'analisi degli errori" Zanichelli.

Teaching methods

Lectures and laboratory experiences with Python simulations. A part of the lessons is dedicated to the discussion of the subjects showed during the lessons.

Exercises will be carried out by means of the Python tool called Jupyter Notebook, available with the suite Anaconda.

Assessment methods

Verification of learning is by project. In particular, it consists of a mandatory oral discussion aimed at evaluating the work presented which, in turn, consists of the following parts:

- a project in Python language on a mathematics or physics topic carried out in class,

- a report in pfd format (possibly with the source file used to produce it, for example Latex, Word, PowerPoint etc., with the description of the work done,

- a presentation slide file in pdf or ppt format used for the common presentation in front of all the students of the course.

Teaching tools

All the lectures will be accompained with slides in pdf format that can be downloaded from the Virtuale website.

Office hours

See the website of Laura Pasqualini

See the website of Marco Corvo