## MATHEMATICS

### Course

Code: 966

Degree: Bachelor's in Agro-Food and Agro-Environmental Engineering

School of Engineering of Orihuela

Year: Year 1 of Bachelor's in Agro-Food and Agro-Environmental Engineering

Semester: Fall

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

Area: APPLIED MATHEMATICS

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

### Description

Math problems that may arise in engineering. Ability to apply knowledge of linear algebra, geometry, differential geometry, differential and integral calculus, differential equations, partial derivatives, numerical methods, numerical algorithms.

### Faculty

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

CAMPILLO HERRERO, PEDRO | ■ | ■ | ■ |

### Professional interest

This subject provides the basic knowledge and skills to deal with subjects that need mathematical tools. It is intended to promote the capacity for abstraction, and the ability to reason.

### Competencies and learning outcomes

#### General competencies

- Capacity to use tools for resolving problems within the field.
- Critical and analytical skills in the relevant specialty area.
- Capacity for evaluating, optimizing, and comparing criteria in decision making.
- Ability to communicate and convey knowledge in expert and non-expert environments.
- Capacity to update knowledge independently and with a constant willingness to do so.
- Knowledge of basic, scientific, and technological matters that enable continuous learning, as well as a capacity to adapt to new situations and changing environments.
- Ability to solve problems with creativity, initiative, methodology, and critical thinking.
- Leadership, communication, and transmission of knowledge, skills, and abilities in social fields of action.
- Ability to search for and use the rules and regulations relative to the field of action.
- Ability to develop activities, assuming a social, ethical, and environmental commitment in tune with the reality of the human and natural environments.
- Capacity to work on multidisciplinary and multicultural teams.

#### Specific competencies

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

#### Objectives (Learning outcomes)

- 00Know what a mathematical test is and its differences with other types of reasoning. Understand and correctly apply different types of mathematical arguments: principle of mathematical induction, reduction to the absurd, reciprocal theorem, etc.
- 01Ability to build and develop logical arguments with a clear identification of hypotheses and conclusions.
- 02Capacity for abstraction, including the logical development of mathematical theories and the relationships between them.
- 03Ability to contribute in the construction of mathematical models from real situations.
- 04Ability to understand problems and abstract the essential from them.
- 05Ability to formulate problems in mathematical language, in a way that facilitates their analysis and solution.
- 06Ability to formulate optimization and decision-making problems and interpret solutions in the original context of the problems.
- 07Ability to use numerical and symbolic computational tools to pose and solve problems.
- 08Ability to present mathematical reasoning and its conclusions clearly and accurately and in an appropriate manner for the audience to which they are addressed, both orally and in writing.
- 09Ability to express themselves correctly using the language of mathematics.
- 010Ability to detect inconsistencies
- 011Correctly handle the available bibliography and sources of information to reinforce and expand knowledge as well as to expand the ability to pose and solve mathematically various problems that may arise and relate to Mathematics.

### Contents

#### Teaching units

#### Association between objectives and units

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

00 | |||||

01 | |||||

02 | |||||

03 | |||||

04 | |||||

05 | |||||

06 | |||||

07 | |||||

08 | |||||

09 | |||||

010 | |||||

011 |

#### Schedule

Week | Teaching units | Directed hours | Shared hours | Autonomous hours | Total hours |
---|---|---|---|---|---|

1 | U1 | 4 | 2 | 2 | 8 |

2 | U1 | 4 | 2 | 2 | 8 |

3 | U1 | 4 | 2 | 2 | 8 |

4 | U1 | 4 | 2 | 2 | 8 |

5 | U2 | 4 | 2 | 2 | 8 |

6 | U2 | 4 | 2 | 4 | 10 |

7 | U2 | 4 | 2 | 4 | 10 |

8 | U2 | 4 | 2 | 4 | 10 |

9 | U3 | 4 | 2 | 4 | 10 |

10 | U3 | 4 | 2 | 4 | 10 |

11 | U3 | 4 | 2 | 6 | 12 |

12 | U4 | 4 | 2 | 6 | 12 |

13 | U4 | 4 | 2 | 6 | 12 |

14 | U4 | 4 | 2 | 6 | 12 |

15 | U4 | 4 | 2 | 6 | 12 |

#### Basic bibliography

- Strang, Gilbert. "Introduction to linear algebra". Box (Massachussetts) Wellesley-Cambrigde Press cop. 2003.
- Bradley, Gerald L, 1940-. Smith, Karl J. "Cálculo de varias variables". Madrid Prentice Hall D.L. 2000.
- Ayres, Frank, JR. "Teoría y problemas de cálculo diferencial e integral". Mexico [etc.] McGraw-Hill cop. 1987.
- Davis, Paul W. "Differential equations for mathematics, science, and engineering". Englewood Cliff Prentice-Hall cop. 1992.

#### Complementary bibliography

- Anton, Howard. "Introducción al álgebra lineal". Mexico [etc.] Limusa 1986.
- Hoffmann, Laurence D. Bradley, Gerald L. "Cálculo para administración, economía y ciencias sociales". Santafé de Bogotá Mac Graw-Hill 1998.
- Campillo Herrero, Pedro. "Álgebra lineal para agrónomos". [Elche] Universidad Miguel Hernández, Servicio de Publicaciones D. L. 1999.
- Campillo Herrero, Pedro. "Análisis matemático I teoría y ejemplos". [Elche] Universidad Miguel Hernández, Servicio de Publicaciones D.L. 1999.

### Methodology and grading

#### Grading

- Continuous assessment that encourages students to continue the learning process will be used. The weight of the continuous assessment, in which activities in theoretical and practical classes, portfolio development practices and possible group work will be assessed , will be between 20% and 35% of the final grade . A final review of theoretical and practical , that will weigh on the rating between 60% and 75% will be made. The remaining 5 % will be for tracking student tutoring .

Assessment >> The system incorporates continuous achieved by writing a review :

* Shared with porfesor ( attendance and participation , seminars and workshops) activities , 5%

* Work performed on tasks and activities proposed by the teacher , 35%

* The final score on a practical final exam , which will represent 60% of the final grade.

- Practices , problems and tasks - > 30 %

- Tutoring ( assistance partipación ) -> 5 %

- Seminars -> 5 %

- Final Exam -> 60 %