## STATISTICS AND OPTIMIZATION

### Course

Code: 1204

Degree: Bachelor's in Electronic Engineering and Industrial Automation

School of Engineering of Elche

Year: Year 1 of Bachelor's in Electronic Engineering and Industrial Automation

Semester: Spring

Type: Core

Language: Spanish

ECTS credits: 6 Lecture: 3 Laboratory: 3 | Hours: 150 Directed: 60 Shared: 30 Autonomous: 60 |

Subject matter: Mathematics

Module: Core

Department: Statistics, Mathematics and Informatics

Course instructors are responsible for the course content descriptions in English.

### Description

### Faculty

Name | Coordinator | Lecture | Laboratory |
---|---|---|---|

SANCHEZ SORIANO, JOAQUIN | ■ | ■ | |

LOPEZ ROMERO, MANUEL | ■ | ||

ESTAÑ PEREÑA, MARIA TERESA | ■ |

### Professional interest

On the other hand, the use of algorithms has become widely spread in different processes in the field of industrial engineering such as software design, technical drawing or designing robots and electronic components. Thus, some basic knowledge of numerical algorithms is needed in the formation of an industrial engineer.

Finally, the engineering systems grow in complexity. Therefore, the modeling and optimization of systems is becoming increasingly necessary to improve its performance and efficiency. For example, the design of a production line requires an analysis that includes, first, to model the process and, later on, to determine the optimum values of the parameters that describe it. Likewise, the use of models and optimization techniques is necessary for improving the decision-making at any business level, which obviously includes any company in the industrial field.

### Competencies and learning outcomes

#### General competencies

- Knowledge about basic and technological material that enables learning new methods and theories, providing versatility for adapting to new situations.

#### Specific competencies

- Capacity for resolving mathematical problems that arise in engineering. Aptitude for applying knowledge about linear algebra, geometry, differential geometry, differential and integral calculus, differential equations and in partial derivatives, numerical methods, numerical algorithms, statistics, and optimization.

#### Objectives (Learning outcomes)

- 01Make correct use of statistical tools sufficient to solve problems involving data analysis
- 02Understand the basic concepts of probability to model problems involving uncertainty or random elements.
- 03Understand the different characteristics that describe the numerical algorithms and their performance.
- 04Acquiring skills and ability to model usual engineering systems in the specific field of industrial engineering.
- 05Make correct use of optimization techniques to solve problems in the specific field of industrial engineering.
- 06Interpret and be able to communicate adequately the results of the analysis performed with the statistical and optimization techniques.

### Contents

#### Teaching units

#### Association between objectives and units

Objective/Unit | U1 | U2 | U3 | U4 | U5 |
---|---|---|---|---|---|

01 | |||||

02 | |||||

03 | |||||

04 | |||||

05 | |||||

06 |

#### Basic bibliography

- Hillier, Frederick S. Lieberman, Gerald J. "Investigación de operaciones". Madrid[etc.] McGraw-Hill 2006.
- Mendenhall,William. Sincich, Terry. "Probabilidad y estadística para ingeniería y ciencias". México [etc.] Prentice-Hall Hispanoamericana 1997.
- Taha, Hamdy A. Meza Staines, Guadalupe tr. "Investigación de operaciones una introducción". México Prentice Hall cop. 1998.
- Winston, Wayne L. "Investigación de operaciones [aplicaciones y algoritmos]". México D. F. Grupo Editorial Iberoamérica cop. 1994.

#### Software

- Microsoft Office 2010
- Microsoft Office 2013

### Methodology and grading

#### Methodology

**Lecture:**Pass on knowledge and activate cognitive processes in students, encouraging their participation.**Problem-based learning:**Develop active learning strategies through problem solving that promote thinking, experimentation, and decision making in the student.**Solving exercises and problems:**Exercise, test, and apply previous knowledge through routine repetition.

#### Grading

**ADDENDUM: DUE TO THE STATE OF ALARM BY COVID19, THE PARTIAL AND FINAL EXAMS WILL BE DONE ON-LINE, UNLESS THEY CAN BE DONE ON-SITE.**

The final grade will be obtained as follows:

FINAL GRADE = 0.75xEF + 0.2xEC + 0.05xT,

where

EF = final exam grade (0-10);

EC = computer practice score (0-10).

T = score for tutorials, participation in class and in activities to be programmed (0-10). The number of units and the quality of the units will be fundamentally evaluated.

To pass the subject will be necessary to have passed EF with a grade of at least 5 points out of 10 and EC with a grade of at least 4 points out of 10 and also obtain a FINAL NOTE equal or higher than 5 points.

CHARACTERIZATION AND FINAL QUALIFICATION OF EXAMINATIONS (EF):

The exams will be written to solve problems and questions related to the contents of the subject. Each problem or issue will be scored according to the quality of its approach and numerical resolution.

The subject consists of two blocks of differentiated contents, so the final exam will consist of two parts, one for each block.

Each block of contents is composed of the following didactic units:

1. BLOCK 1 (STATISTICS): Didactic units 1, 2 and 3.

2. BLOCK 2 (OPTIMIZATION): Didactic Units 4 and 5.

The weight of each block is as follows:

1. BLOCK 1: 50% of the EF score.

2. BLOCK 2: 50% of the EF score.

In order to facilitate the passing of the subject, two opportunities will be given for each block, i.e. two exams will be carried out for each of the blocks. The temporary programming of the exams is as follows:

1. The first exam (first opportunity) of each block will be made during the course once the corresponding contents have been given. The first exam of BLOCK 1 will be at the end of MARCH or at the beginning of APRIL and the first exam of BLOCK 2 will be at the end of MAY.

2. The second exam (second chance) of each of the blocks will be held on the date determined for the final exam of the subject.

IMPORTANT: To pass EF using the first opportunity of each block, students must obtain a score of at least 2 points out of 5 or, equivalently 4 points out of 10, in each exam.

Those who in the ordinary call of June had not passed EF with at least 5 points out of 10 points, will be examined of both blocks in the following calls.

CHARACTERIZATION AND SCORING OF COMPUTER PRACTICES (EC):

Two options for evaluating practices are offered:

Option 1: Completion of two partial exams online. In order to qualify for this option, all face-to-face practices must be attended to during the course and each of the two partial exams to be taken throughout the course must be passed with a grade equal to or greater than 4 points.

Option 2: Conduct a face-to-face final exam that will consist of solving problems with EXCEL, without using any supporting material, except for the help offered by the EXCEL program itself.

CHARACTERIZATION AND QUALIFICATION SCORE FOR TUTORIALS, PARTICIPATION IN CLASS AND IN THE ACTIVITIES TO BE PROGRAMED:

The number of activities and the quality of the activities will be fundamentally evaluated. A minimum grade is not necessary to overcome this part.

A UNIQUE FINAL EXAM ALTERNATIVE

Those students who want to make a unique final exam must make the written (EF) and computer exams plannedfor the day of the corresponding official call. To pass the subject a final grade of at least 5 points out of 10 points must be obtained, the final grade is calculated as follows:

FINAL GRADE = 0.75xEF + 0.25xEC

#### Assessment test characteristics

They are described previously.

#### Correction criteria

They are described previously.

#### Additional requirements

ADDENDUM:

Due to the exceptional situation caused by COVID-19, and given the need to adapt the Spanish university system to non-attendance, the development of teaching activity corresponding to the second semester of the 2019/2020 academic year will be subject to the following changes in the teaching guide that are specified as an addendum to the previously approved for the subject.

TEACHING METHODOLOGY:

Formation activities:

THEORY CLASSES: Teaching is taught on-live in the bands established for the subject in the official hours of the degree, with the participation of the students. It is done using the Google Meet tool from the virtual campus (Universite).

PRACTICAL CLASSES: Teaching is taught on-live in the bands established for the subject in the official hours of the degree, with the participation of the student body. It is done using the Google Meet tool from the virtual campus (Universite). Classes are recorded for later uploading by posting a link on the subject's website, so students can view the class again.

TUTORIALS: They are done through email, answering the questions raised. In cases where it is not enough, they are carried out at the request of the student body, through the Google Meet tool at a time agreed by the teacher-student.

EVALUATION:

System and evaluation criteria of the subject:

The evaluation of the theoretical part does not suffer modifications, except for the fact that the exams will be done on-line, unless they can finally be done in person.

On the other hand, the validity of the partial exams will be conditioned as much to their development as to the results obtained. In the event that said exams are canceled, the final grade of EF exams will be obtained only as a result of a single final exam on the scheduled date.

The characterization and qualification of computer practices (EC) does not undergo any modification in terms of continuous assessment, however, the completion of a single final exam does change, since this exam will be conducted online if it cannot be done face-to-face.

### Adenda a la guía docente (excepcional por COVID-19)

Consecuencia de la situación de excepcionalidad provocada por el COVID-19, y ante la necesidad de adaptación del sistema universitario español a la no presencialidad, el desarrollo de la actividad docente correspondiente al segundo cuatrimestre del curso 2019/2020 estará sujeto a los siguientes cambios en la guía docente que se concretan como *adenda* a la *previamente aprobada* para la asignatura.

#### Metodología docente

Formation activities:

THEORY CLASSES: Teaching is taught on-live in the bands established for the subject in the official hours of the degree, with the participation of the students. It is done using the Google Meet tool from the virtual campus (Universite).

PRACTICAL CLASSES: Teaching is taught on-live in the bands established for the subject in the official hours of the degree, with the participation of the student body. It is done using the Google Meet tool from the virtual campus (Universite). Classes are recorded for later uploading by posting a link on the subject's website, so students can view the class again.

TUTORIALS: They are done through email, answering the questions raised. In cases where it is not enough, they are carried out at the request of the student body, through the Google Meet tool at a time agreed by the teacher-student.

#### Grading

System and evaluation criteria of the subject:

The evaluation of the theoretical part does not suffer modifications, except for the fact that the exams will be done on-line, unless they can finally be done in person.

On the other hand, the validity of the partial exams will be conditioned as much to their development as to the results obtained. In the event that said exams are canceled, the final grade of EF exams will be obtained only as a result of a single final exam on the scheduled date.

The characterization and qualification of computer practices (EC) does not undergo any modification in terms of continuous assessment, however, the completion of a single final exam does change, since this exam will be conducted online if it cannot be done face-to-face.

Esta breve *adenda* cumple una doble función:

- Primero.- Concreta en cada asignatura los criterios generales aprobados para toda la Universidad respecto a la adaptación de la docencia al formato no presencial para este segundo cuatrimestre: cambios introducidos en la
*metodología docente*y el sistema de*evaluación*aplicables en este periodo de excepción ( de acuerdo con las*Reflexiones del Ministerio de Universidades, de 4 de abril de 2020, sobre criterios generales para la adaptación del sistema universitario español ante la pandemia del Covid-19, durante el curso 2019-2020*, así como el*Acuerdo de REACU de 3 de abril de 2020, ante la situación de excepción provocada por el COVID-19*) - Segundo.- Hace público y oficializa el cambio de procedimiento evaluador y los criterios que lo condicionan, garantizándose el procedimiento de seguimiento de las titulaciones por los sistemas internos de garantía de la calidad y por las Agencias Evaluadoras

#### Características de la prueba de evaluación y plan de contingencia

The instructions for taking the exams on-line are given below:

1. A task will be opened 10 minutes before the start time that will include a Microsoft Excel file and a pdf file with the statements for you to download on your devices.

2. Next you have to enter the GMeet session of the subject with your UMH email or through the identified access and be connected from the beginning of the exam until you deliver so that you are considered presented. In addition, the webcam must be connected to verify the presence and identity. Likewise, identification may be required at any time showing the DNI / NIE. So you have to have your DNI / NIE handy during the exams.

3. To avoid fraud, some randomly chosen exams will be conveniently audited at any time until the end of the course.

4. To determine which exam model must be answered, first the DNI / NIE without letters is entered in the Microsoft Excel spreadsheet as indicated there. This will provide the exam model to be answered and the data to be used in each problem, which are personalized, that is, no two exams are the same.

5. Questions should be answered, as far as possible, in the same order that they are asked. If the order was not systematically respected, the exam would not be corrected. Therefore, if a question is left unanswered, you must write the question number and then write "no answer".

6. The answers must be answered in handwritten form in a blue pen on separate pages, then scan them in color in pdf format and upload them to the task that is open for the exam. If the pdf file is not uploaded to the task it will be considered fail. Similarly, if the quality of the pdf is poor, the exam will not be corrected and will be considered fail.

7. All the answer sheets must include the name and surname of the student and on the first sheet, in addition, the DNI / NIE.

8. All answers must include the problem statement, its development and the result that must be given with at least 4 decimal places.

9. 15 minutes will be given over the exam duration to scan the answer sheets and upload the pdf files to the task.

10. If the task response sheets are not uploaded, it will be considered not presented as the completion is not registered in the system.

CONTINGENCY PLAN

In the event of a continued disconnection that would make an exam void, it would be repeated the next day and would be done orally through a GMeet session.