MATHEMATICS AND COMPUTER SCIENCE+PHYSICS
Academic year and teacher
If you can't find the course description that you're looking for in the above list,
please see the following instructions >>
- Versione italiana
- Academic year
- 2016/2017
- Teacher
- MAURO GAMBACCINI
- Credits
- 12
- Didactic period
- Primo Semestre
Training objectives
- The course aims to provide: the basic elements of Mathematics, Statistics, Classical Physics, and Computational Science as well their methods for the description and quantification of simple variables and the description of the classical physical laws so as to provide the tools to be used during the student's carreers.
The main goal is to provide students the knowledge and the ability to apply and to process the main curves in 2D geometry as well the knowledge of the main mathematical functions and their properties together with the ability to use the concepts of limit and continuity, the concept of derivative of a function and its geometrical meaning. For what concern Statistic the ability to evaluate the mean and variance of a data set and to calcuate the linear regression of a data set.
For what concern Physics the ability to apply the principles of the dynamics to simple systems, to apply the principles of hydrodinamics to simple fluid circuits, to apply the principles of thermodynamics to simple transformations, to identify the types of energies in simple physical systems, to discriminate between transversal and longitudinal waves, to apply the Ohm law to simple circuits, to discriminate between convergent and divergent lens. For what concern Computational Science , to use Excel spread sheet to process simple data sets. Prerequisites
- Knowledge provided by secondary education: symbolic computations, math symbols, set operations, the fundamentals number sets and their properties; knowledge of the equations of first and second degree, systems of equations, disequations; elements of plane and solid geometry; Cartesian plane worksheet and coordinate sistems.
Course programme
- The course of Mathematics, Computer Science and Physics involves 98 hours of classroom lessons, 48 hours for Mathemetics anc Compure Science module and 48 hours for the Physics module. The lessons of the two modules will provide the elements necessary for the understanding of the course content and will be carried out numerical exercises for their application.
Mathematics and Computer Science Course syllabus (48 hours):
basis of 2D analytic geometry and trigonometry; real function definition and properties, graph, main functions; convexity, monotonicity; limit and continuity concepts, properties and fundamental results, main examples; derivative concept, properties, geometrical meaning, noticeable examples; applications. Descriptive statistics elements and linear regression. Solving equation, solving equation system. Computation of the mean value, standard deviation and variation coefficient of a data set. Evaluation of the absolute and relative frequency of a data set, distribution determination. Introduction to the use of a spreadsheet for the solution of numerical exercises.
Physics Course syllabus (48 hours):
Mention to solid mechanics, motions. Force and mass, fundamental laws, work, energy, power, motion quantity, friction. Elasticity and stiffness, deformations, mechanical resistance. Molecular structure and elasticity. Harmonic motion and damped oscillations. Liquid mechanics, fundamental laws, viscosity. Thermology principles, gas, state functions, thermodynamics transformations, thermodynamics lows, entropy. Basis and principles of acoustics, oscillations, waves. Basis of electromagnetism: electrical charges, induction, fields, currents, fundamental laws, magnetism, electrical machines, measurement instruments. Optics basics: reflection, refraction,thin lens and optical instruments, light polarization. Mention to radioactivity. Didactic methods
- Lectures and numerical exercises.
Learning assessment procedures
- The aim of the examination is to test the level of achievement of the learning objectives of the course.
The exam is oral test in which it will examine the ability to treat some topic addressed in class where it will be discussed its mathematical, statistical and physical aspects. It will also be evaluated for the ability to apply the concepts of the course in numerical exercises.
To pass the exam the studet must obtain a minimum score of 18 on 33.
If the score is less than 18, the studente must repeat the assessment. Reference texts
- Notes provided by the teacher.
Specific topics can be explored on the following books:
Giancoli, Fisica , Casa Editrice Ambrosiana
James s Walker, Fondamenti di Fisica 1, Zanichelli
Serwey, Fisica Vol. 1, Edi SES
Matematica
Patria e Zanghirati, Mat&matica, Pitagora
