Unit STATISTICS AND OPERATIONAL RESEARCH
- Course
- Mechanical engineering
- Study-unit Code
- 70A00209
- Curriculum
- Gestionale
- Teacher
- Giuseppe Saccomandi
- CFU
- 9
- Course Regulation
- Coorte 2017
- Offered
- 2018/19
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa integrata
OPERATION RESEARCH
| Code | 70097005 |
|---|---|
| CFU | 5 |
| Teacher | Giuseppe Saccomandi |
| Teachers |
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| Hours |
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| Learning activities | Base |
| Area | Matematica, informatica e statistica |
| Sector | MAT/09 |
| Type of study-unit | Obbligatorio (Required) |
STATISTICS
| Code | 70026681 |
|---|---|
| CFU | 4 |
| Teacher | Maria Cesarina Salvatori |
| Teachers |
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| Hours |
|
| Learning activities | Affine/integrativa |
| Area | Attività formative affini o integrative |
| Sector | SECS-S/02 |
| Type of study-unit | Obbligatorio (Required) |
| Language of instruction | Italian |
| Contents | Statistics and elementary probability theory with applications to Statistics. |
| Reference texts | - W. Navidi: Probabilità e statistica per l'ingegneria e le scienze; McGraw-Hill (Milano) 2006. - S.M. Ross: Probabilità e statistica per l'ingegneria e le scienze (seconda edizione); Ed. Apogeo (Milano) 2008. |
| Educational objectives | The goals of this course are . provide students with the statistics tools that should be part of the essential skills to deal with issues related to engineering; . motivating the study of these instruments showing applications of real problems. These objectives involve the study of the classical topics of elementary Statistics to process and to understand the sperimental data. The main competence (i.e. the ability to apply the acquired knowledge ) will be : . interpreting the data obtained from the sperimental phase of the phenomenon , . understanding the laws that govern the phenomenon , . check whether the data have been correctly interpreted through a simplified mathematical representation of the phenomenon, with the goal then making some predictions about behaviour of the phenomenon . |
| Prerequisites | Calculus level I. |
| Teaching methods | Lectures on all subjects of the course and Exercices in the classroom. |
| Other information | Yor are recommanded to attend the lectures. The lectures will be held at the department at in Via Goffredo Duranti 06125 Perugia. A tutor is available by appointment at mariacesarina.salvatori@unipg.it |
| Learning verification modality | The oral examination consists on an interview about 2/3 arguments treated during the course. This allows to verify the ability of knowledge and understanding, the ability to apply the acquired skills, the ability to display and learn. Operating time up to 30-40 minutes. |
| Extended program | Statistics: Variables and graphs. Frequency distributions. The mean, median, mode and other measures of central tendency. The standard deviation and other measures of dispersion. Bivariate distribution. Regression line. Standardized variable, standard scores. Elementary probability theory. Fundamental theorems in probability. Conditional probability. Baye's rule and theorem. Discrete and continous random variables. The uniform, binomial, normal and Poisson distributions. Probability density function. Gauss, Student and Chi-square distributions. Expected value. Samples theory. Point and interval estimates for means. Estimates for standard deviations. Chebishev, central limit theorems. Test of hypotheses and significance: for means, for difference of means using Gauss and Student distributions, for frequency using Chi-square distributions. |