Degree in Aerospace Engineering

Objectives

To gain an understanding of the potential of Linear Algebra as a useful mathematical tool in professional practice, as well as its relationship with Infinitesimal Calculus. To develop the ability to solve real-world mathematical problems. Furthermore, to develop the capacity for abstract reasoning and logical and algorithmic thinking.

Course content

Vector Spaces, Linear Applications and Matrices, Determinants and Systems of Linear Equations, Quadratic Forms, Scalar Product, Eigenvalues and Matrix Reduction, Singular Value Decomposition and Least Squares, Euclidean Affine Space, A Detailed Study of Conics and Quadric Surfaces, Introduction to Curves and Surfaces.

SYLLABUS

Topic 1: Rank of vectors and matrices

Topic 2: Operations on matrices

Topic 3: Determinants

Topic 4: Systems of linear equations

Topic 5: Vector spaces

Topic 6: Linear applications

Topic 7: Quadratic forms

Topic 8: Euclidean vector spaces

Topic 9: Eigenvalues

Topic 10: Points, lines and planes

Topic 11: Conic sections

Topic 12: Quadric curves

Learning activities

Classroom presentations on concepts related to the subject and problem-solving exercises to help students understand how to tackle them, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Carrying out work in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Sitting examinations and assessment tests.

Assessment system and criteria

Without prejudice to any other requirements that may be set out in the relevant course syllabus, as a general rule, failure to attend more than 60 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the standard examination period. In this case, the examination to be held during the official period set by the University will be the sole assessment criterion, with the weighting specified in the course syllabus.

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CONTINUOUS ASSESSMENT:

Assignment 1: 5%

Test 1: 10%

Lab 1: 5%

Assignment 2: 5%

Test 2: 15%

Lab 2: 10%

Assignment 3: 5%

Test 3: 10%

Lab 3: 5%

Assignment 4: 5%

Test 4: 15%

Lab 4: 10%

In order for these percentages to apply, all marks for tests and laboratory work must be 3 marks out of 10 or higher

REGULAR EXAM SESSION:

The laboratory mark will be the mark achieved throughout the course and will account for 30% of the final mark. The remaining 70% will be based on questions set in the exam.

RE-SIT EXAM:

The laboratory mark will be the one obtained throughout the academic year and will account for 30% of the final mark. The remaining 70% will be based on exercises set in the exam.

In accordance with the instructions from the Head of Studies, the minimum attendance rate required to be eligible for continuous assessment for degree programmes at the School of Engineering, Architecture and Design (EIAD) is 60 per cent.

Timetable

Click on this link to view the detailed timetable in Excel

Reading list

Core:

1. Burgos Román, Juan de

Linear Algebra: Definitions, Theorems and Results

Madrid: García-Maroto, 2007. 2007.

ISBN: 8493527165

2. Eugenio Hernández

Linear Algebra and Geometry

Anaya General Publications Group. 2012.

ISBN: 9788478291298

Supplementary:

3.- Merino, Luis M

Linear Algebra with Elementary Methods

Thomson. 2006.

ISBN: 8497324811

Objectives

The aim of this module is to provide the necessary mathematical foundations to enable students on the Bachelor’s Degree in Aerospace Engineering to interpret, select, evaluate and develop new concepts, theories, applications and technological developments relating to the aerospace sector.

Prerequisites

No prerequisites have been set

Competencies

Ability to solve mathematical problems that may arise in engineering. Ability to apply knowledge of: linear algebra; geometry; differential geometry; differential and integral calculus; differential and partial differential equations; numerical methods; numerical algorithms; statistics and optimisation.

Students must have demonstrated that they possess and understand knowledge in their field of study, building on the foundations of general secondary education; this is typically at a level which, whilst drawing on advanced textbooks, also includes certain aspects requiring knowledge from the cutting edge of their field of study.

Students should be able to apply their knowledge to their work or profession in a professional manner and possess the skills typically demonstrated through the development and defence of arguments and the resolution of problems within their field of study.

Students should have the ability to gather and interpret relevant data (usually within their field of study) in order to form judgements that include reflection on relevant social, scientific or ethical issues.

Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.

Students should have developed the learning skills necessary to undertake further study with a high degree of autonomy.

Learning outcomes

Ability to apply acquired knowledge to the resolution of real-world problems.

Ability to engage in abstract reasoning and logical and algorithmic thinking.

Ability to solve highly complex mathematical problems.

Teamwork within small groups.

Course content

The System of Real Numbers and Limits of Sequences, Continuous Functions of a Real Variable, Differentiable Functions of a Real Variable, Simple Integrals, Series, N-Dimensional Euclidean Space, Limits and Continuity of Functions of Several Variables, Derivation and Differentiation of Functions of Several Variables, Applications of Derivatives, Multiple Integrals.

Teaching activities

Classroom presentation of concepts relating to the topics comprising each subject and the solving of problems to enable students to understand how to approach them, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Carrying out work in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Sitting examinations and assessment tests.

Assessment system and criteria

Without prejudice to any other requirements that may be specified in the relevant course syllabus, as a general rule, failure to attend more than 60 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the standard examination period. In this case, the examination to be held during the official period set by the University will be the sole assessment criterion, with the weighting specified in the course syllabus.

The assessment process will consist of verifying and evaluating the student’s acquisition of the learning outcomes. To this end, the following assessment activities will be used to determine the extent to which each of the listed learning outcomes has been mastered, and these will consist of:

- Carrying out a project through problem-solving activities, assignments, small-group presentations and the development of case studies.

- Written examinations covering the content covered in the classroom-based learning activities.

Students’ results in the modules will be graded according to the following numerical scale from 0 to 10, expressed to one decimal place, to which a corresponding qualitative grade may be added:

a. 0–4.9: Fail (SS).

b. 5.0–6.9: Pass (AP).

c. 7.0–8.9: Good (NT).

d. 9.0–10: Distinction (SB).

The distinction ‘Honours’ shall be awarded to students who have obtained a mark of 9.0 or higher. The number of students awarded this distinction may not exceed five per cent of those enrolled on the course in the relevant academic year, unless the number of enrolled students is fewer than 20, in which case only one ‘First Class Honours’ may be awarded.

CONTINUOUS ASSESSMENT

Four mid-term examinations will be held, two in each term, in which students’ competencies will be assessed in a way that reflects the learning activities undertaken. In addition, a series of assessments (assignments, questionnaires, activities, projects) will be set throughout the two terms to be completed individually and/or in groups.

The final mark for continuous assessment will be calculated by applying the percentage weights to all the continuous assessment tasks carried out during the course, as set out in the timetable. The marks for the four mid-term exams will account for 80% (4 mid-term exams × 20% each) of the continuous assessment mark, whilst the mark for the assessments (assignments, questionnaires, activities, project) will account for 20% (4 assessments × 5% each).

The module may be passed BY CONTINUOUS ASSESSMENT if a mark of 5 out of 10 or higher is achieved. Students who pass via continuous assessment will not sit the exam in the ordinary examination session.

REGULAR JUNE EXAM SESSION:

This examination, which will assess students’ competencies in line with the learning activities undertaken, will consist of two parts, one for each of the two terms: the first part covering mid-term exams 1 and 2 of the first term, and the second part covering mid-term exams 3 and 4 of the second term.

Students who have failed the continuous assessment but have a mark of four or above in either of the two terms may choose to sit the entire exam or just one part of the exam (one of the two terms) if they wish to retain the continuous assessment mark obtained in the other part (the other of the two terms). Students who have failed on the basis of continuous assessment and who do not have a mark of four or above in either of the two terms must sit the full examination for the module, and the mark recorded in the academic transcript will be that obtained in the examination, as continuous assessment will not be taken into account.

Under no circumstances will any part of the course be exempted for the July sitting; if a student fails in the ordinary sitting, the entire course remains outstanding for the supplementary sitting.

JULY EXTRAORDINARY EXAMINATION PERIOD:

A single examination covering the entire syllabus will be held, in which students’ competencies will be assessed in a manner that reflects the learning activities undertaken. The mark obtained in this examination will be the one recorded in the academic records.

Addendum

Recommended reading and basic resources:

▪ Esther Guervos Sánchez et al., Introduction to Calculus. García Maroto Editores (Available in the physical library and online)

▪ Esther Guervos Sánchez and Ana Pastor Regidor, Fundamentals of Mathematics. Bellisco. (Available in the physical library and online)

▪ Online calculation and problem-solving programmes.

▪ AI tools.

Note: (Unless otherwise specified, no reference materials, online resources or AI tools will be permitted during examinations or for coursework.)

Timetable

Click on this link to view the detailed timetable in Excel

Reading List

Core:

1. Guervós Sánchez, Esther; Pastor Regidor, Ana.

Fundamentals of Mathematics: Theoretical Concepts and Solved Problems

Bellisco. 2002.

ISBN: 84-96486-14-1

2. Guervós Sánchez, Esther

Introduction to Calculus

García-Maroto Editores. 2008.

ISBN: 9788493629984

3. Pedro de Mingo

Calculus

Madrid: Bellisco. 2006.

ISBN: 8496486370

Supplementary:

4.- Pedro de Mingo García

Mathematics

Bellisco. 2005.

ISBN: 84-95279-90-8

5. J. Rey Pastor, P. Pi Calleja, C.A. Trejo

Mathematical Analysis. Volumes 1, 2 and 3

Kapelusz. 1985.

ISBN: 9501333019

6. Jon Rogawski

Calculus

Reverte. 2012.

ISBN: 9788429151664

7. Larson / Hostetler / Edwards

Calculus (Vol. 1 and 2).

McGraw-Hill. 2010.

ISBN: 978-607-15-02

8. Pedro de Mingo

Exercises in Integral Calculus

Bellisco. 2005.

ISBN: 8485198816

9. Puig Adam

Integral Calculus.

Mathematical Library. 2005.

ISBN: 847029007X

Objectives

To identify and explain the fundamental concepts of mechanics, thermodynamics, fields, waves and electromagnetism; apply the general laws of physics to solve engineering problems through logical and mathematical reasoning; analyse physical phenomena using theoretical and practical models; solve real-world problems requiring the integrated application of knowledge of fields and waves; and demonstrate conceptual and technical mastery in formulating solutions based on fundamental physical principles.

To achieve these objectives, the following TEACHING METHODOLOGIES are implemented

- Problem-based learning

- Lecture

- Workshop-based teaching and practical skills training

Prerequisites

No prerequisites have been set.

Learning outcomes

RD 822/2021

RK1 Understanding and mastery of the basic concepts relating to the general laws of mechanics, thermodynamics, fields and waves, and electromagnetism, and their application to solving engineering problems

Course description

Introduction: The Method of Physics, Basic and Phenomenological Laws, Measurement of Physical Quantities.

Basic Mechanics: Scalar and Vector Fields, Reference Frames, Particle Kinematics,

Kinematic behaviour of a rigid body, Newton’s second and third laws, Hooke’s law, fluid statics.

Basic Thermodynamics: Irreversible Behaviour of Macroscopic Systems, Thermodynamic Equilibrium

, Balance of Internal Energy, Heat, the First and Second Laws of Thermodynamics, the Equation of State, Thermodynamic Functions and their Derivatives, Thermodynamic Processes, Cyclic Heat Engines, Steady-State Motion of a

Fluid, Conservation Equations, Waves in Fluids.

Basic Electromagnetism: Electrostatics, Magnetostatics, Electrostatics of continuous media, Circuit Theory,

Propagation of Electromagnetic Waves in a Vacuum.

Teaching activities

1. Lectures: 30 hours of face-to-face teaching

2. Participatory classes: 30 hours of face-to-face teaching

3. Workshops/Laboratories: 15 hours of face-to-face teaching

4. Self-study: 145 hours of independent study

5 Knowledge tests: 5 hours of face-to-face teaching

Assessment system and criteria

"The format of the assessment tests may include multiple-choice questions, short-answer questions, essay questions, problem-solving exercises, case studies, laboratory tests or workshops, or the design of prototypes, products or models, to be completed in writing or orally. Where applicable, the course coordinator will provide details of the assessment format to be used prior to the assessments taking place.”

Without prejudice to any other requirements that may be specified in the relevant course syllabus, as a general rule, failure to attend more than 60 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the standard examination period. In this case, the examination to be held during the official period set by the University shall be the sole assessment criterion, with the weighting specified in the course syllabus.

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In accordance with this guideline, the minimum attendance percentage required to be eligible for continuous assessment for degree programmes at the School of Engineering, Architecture and Design (EIAD) shall be 60 per cent.

SE1. Assessment of practical activities: 10 min – 30 max

SE2. Final knowledge assessments: 40 min – 60 max

SE3. Laboratory practical logbook: 10 min – 30 max

To obtain the credits for the module, students must pass the corresponding assessment. The level of learning achieved by students will be expressed as numerical marks on a scale of 0 to 10.

The module may be passed either through continuous assessment or through a final examination (in the event that the student has not passed via continuous assessment).

CONTINUOUS ASSESSMENT:

The final mark for continuous assessment will be based on the marks obtained in the various assessed tasks carried out during the course. The weightings are set out in the Timetable.

REGULAR EXAM SESSION

In the ordinary examination session, the entire syllabus of the module will be assessed, with the final mark being that obtained in the examination (weighting 100%). The examination will cover all the course content.

If students have passed either the first or second term, they may be exempt from that part of the assessment in the ordinary examination session.

SUPPLEMENTARY EXAMINATION PERIOD:

In the supplementary examination, the entire syllabus of the module will be assessed, with the final mark being that obtained in the examination (accounting for 100% of the mark). The examination will cover all course content

Timetable

Click on this link to view the detailed timetable in Excel

Bibliography

Core:

1. Magro, R., Abad, L., et al.

Physical Fundamentals of Engineering I

1st ed. Garcia Maroto publishers. 2007.

ISBN: 9788493527150

2. Magro, R., Abad, L., et al.

Physical Fundamentals of Engineering II

1st ed. Garcia Maroto Publishers. 2008.

ISBN: 9788493601867

Supplementary:

3.- Laura Abad Toribio, Ana Isabel Velasco Fernández, Alicia Chocarro Marcesse, Hussein Zeaiter Zeaiter

Physics FTC – PHYSICS (Technical and Scientific Formulary)

Bellisco. 2007.

ISBN: 978-849648656

4. Laura Abad Toribio, Laura Mª Iglesias Gómez

Solved Problems in General Physics

Bellisco. 2006.

ISBN: 9788496486270

Objectives

• To build a foundation of knowledge and skills based on the optimal use of IT resources and tools designed for academic, educational and professional purposes.

• To foster information and knowledge management skills.

• To establish a useful foundation for management and learning based on independent research using IT tools.

• The ability to apply general knowledge of office automation and new information technologies in current practice and in future professional contexts.

Prerequisites

No prerequisites have been established

Competencies

Basic knowledge of the use and programming of computers, operating systems, databases and software applications relevant to engineering.

Students must have demonstrated that they possess and understand knowledge in their field of study, building on the foundations of general secondary education; this is typically at a level which, whilst drawing on advanced textbooks, also includes certain aspects requiring knowledge from the cutting edge of their field of study.

Students should be able to apply their knowledge to their work or profession in a professional manner and possess the skills typically demonstrated through the development and defence of arguments and the resolution of problems within their field of study.

Students should have the ability to gather and interpret relevant data (usually within their field of study) in order to form judgements that include reflection on relevant social, scientific or ethical issues.

Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.

Students should have developed the learning skills necessary to undertake further study with a high degree of autonomy.

Learning outcomes

Ability to apply acquired knowledge to the resolution of real-world problems.

Ability to engage in abstract reasoning and logical and algorithmic thinking.

Proficiency in computer systems at user level and the ability to programme solutions to specific problems using standard programming languages.

Teamwork within small groups.

Course description

The module covers the following topics:

Basic Concepts of Information and Communication Technologies: Concepts and technological elements for the digital representation of information, its storage in modern computer systems and transmission via telecommunications networks.

Computers and their use: Functional architecture of computer systems and their main components.

Use of Existing Software, primarily the Microsoft Office suite and, within this, applications for spreadsheet management (Microsoft Excel) and word processing (Microsoft Word).

Programming Methodology, programming languages. The course covers the development of basic programming elements using structured and modular programming techniques. It also examines the Object-Oriented Programming (OOP) paradigm, given its widespread use in the development of computer applications.

Teaching activities

Classroom presentations on concepts related to the course and problem-solving exercises designed to help students understand how to tackle these concepts, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Carrying out group work in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Assessment system and criteria

Without prejudice to any other requirements that may be set out in the relevant course syllabus, as a general rule, failure to attend more than 70 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the regular examination period. In this case, the examination to be held during the official period set by the University will be the sole assessment criterion, with the weighting specified in the course syllabus.

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The assessment process will consist of verifying and evaluating the student’s acquisition of the learning outcomes. To this end, the following assessment activities will be used to determine the extent to which each of the listed learning outcomes has been mastered, and these will consist of:

Solving set problems, submitting and presenting group projects. Completing practical case studies.

For competences involving knowledge of subject content, a series of written examinations will be set, covering the content covered in the classroom-based learning activities.

Continuous assessment:

For the continuous assessment of the Computer Science module, various computer-based exercises and practical case studies will be carried out; a class attendance rate of over 70 per cent will be required; and the following practical examinations will be held (for which a minimum mark of 4 is required):

- Applied Computing (40 per cent): Spreadsheets using Excel (20 per cent) and Word processing using Word (20 per cent) (relating to competences CB3, CBMG2, CBMG3, CBMG4)

- Programming (50%): Basic programming (20%) and object-oriented programming (30%) (relating to competences CB3, CBMG1, CBMG2, CBMG5)

- UAX Skill School (10%)

For students who meet the attendance and minimum mark requirements, the percentages indicated for each component will be applied to calculate the final mark for the course. Students who ultimately achieve a mark of 5 or above in the continuous assessment will have passed the course and will not be required to sit the final exam in the ordinary examination session.

Ordinary Examination Session:

Students who have not passed the course will be required to sit the final exam in the ordinary examination session, for which there are two options:

- Students who, having met the continuous assessment requirements, have not passed the course, may sit an exam in only one of the course’s components – Applied Computing or Programming – in which they must achieve a minimum mark of 4. The mark obtained in the part examined during the ordinary examination period will be given the same weighting as in the continuous assessment when calculating the final mark.

- Students who do not fall into the above category will have to sit an exam covering the full syllabus of the module during the supplementary examination period.

Extraordinary examination session:

In the supplementary examination session, students must be examined on the full syllabus of the module.

Bibliography

Essential:

1. Antonio González Mangas and Miguel Mora Vallina

Excel 2010 Quick Guide

Paraninfo. 2012.

ISBN: 9788428333146

2. Casas Luengo, Julián

Access 2010: The Essential Manual

Anaya. 2010.

ISBN: 9788441527812

3. Felicidad Marqués

Excel 2010: In Depth

RC Libros. 2011.

ISBN: 9788493776992

4. Francisco Charte Ojeda

Essential Guide to Microsoft Office Word 2010

Anaya. 2010.

ISBN: 9788441527805

5. Francisco Javier Sánchez-Bote del Rosario and Manuela González Barbero

Microsoft Office Word 2010

Paraninfo. 2012.

ISBN: 9788428309769

6. Gonzalez Paz, Francisco

PowerPoint 2010: The Essential Guide

Anaya. 2010.

ISBN: 9788441527942

7. Manuela González Barbero and Francisco Javier Sánchez-Bote del Rosario

Microsoft Office Excel 2010

Paraninfo. 2012.

ISBN: 9788428309752

8. Pérez, M.

Access 2010 in Depth

RC Libros. 2010.

ISBN: 9788493831202

9. Rosario Peña

Word 2010: All About Practice

RC Libros. 2011.

ISBN: 9788493831219

10. Sánchez

Programming in Java

Madrid [etc.]: McGraw-Hill, 2009. 2009.

ISBN: 9788448161071

11. Sánchez Allende, Jesús, et al.

Programming in Java 2

1st ed. McGraw-Hill. Madrid. 2005.

ISBN: 8448145917

Objectives

The most significant features of the course in Metric Technical Drawing are its educational nature and the body of knowledge it provides, designed to develop a mental framework which, together with Mathematics and Physics, enables students to tackle the technological subjects of the degree programme with a solid foundation. Furthermore, it provides students with the basic knowledge required to define any geometric element or interpret any representation of such an element, in accordance with existing standards and using the drafting tools employed in industry.

Through this course, students will be able to:

- Build a knowledge base founded on spatial concepts and constructions.

- Enhance their reasoning skills.

- Improve their spatial visualisation skills.

- Facilitate the calculation of areas and volumes of all types of shapes.

Prerequisites

No prerequisites have been set.

Skills

Spatial visualisation skills and knowledge of graphic representation techniques, both through traditional methods of metric and descriptive geometry, and through computer-aided design applications.

Students must have demonstrated that they possess and understand knowledge in their field of study, building on the foundations of general secondary education; this is typically at a level which, whilst drawing on advanced textbooks, also includes certain aspects requiring knowledge from the cutting edge of their field of study.

Students should be able to apply their knowledge to their work or profession in a professional manner and possess the skills typically demonstrated through the development and defence of arguments and the resolution of problems within their field of study.

Students should have the ability to gather and interpret relevant data (usually within their field of study) in order to form judgements that include reflection on relevant social, scientific or ethical issues.

Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.

Students should have developed the learning skills necessary to undertake further study with a high degree of autonomy.

Learning outcomes

Ability to apply acquired knowledge to the resolution of real-world problems.

Development of spatial visualisation and mastery of representation systems.

Course content

Basic Design Geometry, Visualisation, Representation Methods, Dihedral System, Sections, Perspectives and Shading, Plane Geometry, Movements in the Plane, Transformations.

1. INTRODUCTION TO REPRESENTATION SYSTEMS (Representation Methods, Basic Design Geometry).

BLOCK A: DIEDRIC SYSTEM

2. DIEDRIC SYSTEM:

- Point.

- Line.

- Plane.

- Intersections.

- Projections.

- Parallelism and perpendicularity.

- Distance.

- Polyhedra.

- Prisms.

BLOCK B: NORMALISATION AND VISUALISATION.

3. STANDARDISATION.

- Standardised formats.

- Scales.

- Standardised views.

- Projection methods.

- Sections.

4. AXONOMETRIC SYSTEM (Perspectives and Shadows).

5. DIMENSIONING.

BLOCK C: COMPUTER-AIDED DRAWING.

6. COMPUTER-AIDED DESIGN: Catia software.

Training activities

Classroom-based presentation of concepts relating to the topics covered in each subject and problem-solving exercises designed to enable students to understand how to tackle these topics, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Laboratory activities of increasing difficulty, enabling students to gradually develop the ability to solve problems independently.

Carrying out projects in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Exams and assessment tests.

Assessment system and criteria

Without prejudice to any other requirements that may be set out in the relevant course syllabus, as a general rule, failure to attend more than 60 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the standard examination period. In this case, the examination to be held during the official period set by the University will be the sole assessment criterion, with the weighting specified in the course syllabus.

----

The assessment process will consist of verifying and evaluating the student’s acquisition of the learning outcomes. To this end, the following assessment activities will be used to determine the extent to which each of the listed learning outcomes has been mastered, and these will consist of:

For competences involving laboratory skills, students will be assessed on the basis of their performance in practical sessions, the preparation of reports on the work carried out, the dedication and interest shown whilst carrying out the work, as well as written tests relating to the experimental work.

Solving set problems, submitting and presenting group projects. Preparing case studies.

For the competences involving knowledge of the subject matter, a series of practical examinations will be set, covering the content covered in the classroom-based learning activities.

Assessment Tests

The format of the assessment tests may include multiple-choice questions, short-answer questions, essay questions, problem-solving tasks, practical case studies, laboratory tests or workshops, or the design of prototypes, products or models, to be completed in writing or orally. Where applicable, the coordinator will provide details of the type of assessment to be undertaken prior to the assessments taking place.

Students’ results in the modules will be graded according to the following numerical scale from 0 to 10, expressed to one decimal place, to which the corresponding qualitative grade may be added:

a. 0–4.9: Fail (SS).

b. 5.0–6.9: Pass (AP).

c. 7.0–8.9: Good (NT).

d. 9.0–10: Distinction (SB).

The distinction of ‘Honours’ shall be awarded to students who have obtained a mark of 9.0 or higher. The number of students awarded this distinction may not exceed five per cent of those enrolled on the course in the relevant academic year, unless the number of enrolled students is fewer than 20, in which case only one ‘First Class Honours’ may be awarded.

CONTINUOUS ASSESSMENT:

To calculate the student’s mark during continuous assessment, each block will be weighted as follows:

40% BLOCK A: DIHEDRAL SYSTEM:

15% FIRST DIEDRIC MID-TERM EXAM.

20% SECOND DIEDRIC MID-TERM EXAM.

5% SUBMISSION OF EXERCISES.

40% BLOCK B: NORMALISATION AND VISUALISATION.

15% FIRST NORMALISATION MID-TERM EXAM.

20% SECOND MID-TERM EXAM ON STANDARDISATION.

5% SUBMISSION OF EXERCISES.

20% BLOCK C: COMPUTER-AIDED DRAWING.

15% CATIA ASSESSMENT.

5% SUBMISSION OF ASSIGNMENTS AND PUBLIC PRESENTATION.

In order to calculate an average across the different blocks and pass via continuous assessment, students must achieve a mark of at least 3.5 in each block.

If the mark obtained through this process is 5 or above, the student will have passed the module through continuous assessment.

REGULAR EXAMINATION PERIOD:

In the ordinary examination session, students have the following options available to them:

A. They may retain the marks for the modules in which they have achieved a mark of 5 or above through continuous assessment and sit an examination in the subject(s) from the modules in which they have achieved a mark below 5. In order to calculate an average across the different modules and pass in the ordinary examination period, students must achieve at least a 3.5 in each module.

B. Sit the examination for the entire subject; in this case, no minimum mark is required in any of the blocks to pass the subject.

To calculate the mark for the ordinary examination session, each block will be weighted as follows:

40% BLOCK A: DIEDRIC SYSTEM.

40% SECTION B: STANDARDISATION AND VISUALISATION.

20% SECTION C: COMPUTER-AIDED REPRESENTATION.

EXTRAORDINARY EXAMINATION SESSION:

In the ordinary examination session, students have the following options:

A. They may retain the marks for those Blocks in which they have achieved a mark of 5 or above in continuous assessment and sit the examination for the subject(s) in the Blocks in which they have achieved a mark below 5. In order to average the marks across the different blocks and pass in the ordinary examination session, students must obtain at least a 3.5 in each of the blocks.

B. Sit the examination for the entire subject; in this case, no minimum mark is required in any of the blocks to pass the subject.

To calculate the mark for the supplementary examination, each block will be weighted as follows:

40% BLOCK A: DIEDRIC SYSTEM.

40% SECTION B: STANDARDISATION AND VISUALISATION.

20% SECTION C: COMPUTER-AIDED REPRESENTATION.

Timetable

Click on this link to view the detailed timetable in Excel

Bibliography

Core:

1. AENOR

Technical Drawing. Basic Standards

AENOR. 2000.

ISBN: 8481432717

2. Félez, Jesús

Industrial Drawing

Madrid: Sintesis, 1999. 1999.

ISBN: 8477383316

3. Gonzalo Gonzalo, Joaquín

Practical Technical Drawing

San Sebastián: Donostiarra, 1992. 1992.

ISBN: 8470631225

Objectives

For students to acquire a basic and general understanding of all aspects of engineering relating to the aeronautical sector.

To learn about the types of aircraft currently in use, their configurations, components, the materials they are made of, the control systems and how they operate.

To understand airports, their design, construction and commercial management, the navigation systems that enable air traffic, and the mechanisms governing the commercial operation of air transport.

Prerequisites

There are no prerequisites.

Learning Outcomes

To understand the air navigation system as a whole and the complexity of air traffic.

To understand how aerodynamic forces determine flight dynamics and the role of the various variables involved in the phenomenon of flight.

Understand the unique nature of airport infrastructure, buildings and operations.

Understand the air transport system and its coordination with other modes of transport.

Adequate and applied knowledge of the engineering aspects of: the fundamental elements of the various types of aircraft; the functional elements of the air navigation system and the associated electrical and electronic installations; the fundamentals of the design and construction of airports and their various components.

Adequate and applied knowledge of engineering relating to: the fundamentals of fluid mechanics; the basic principles of flight control and automation; the main characteristics and physical and mechanical properties of materials.

Applied knowledge of: materials science and technology; mechanics and thermodynamics; fluid mechanics; aerodynamics and flight mechanics; navigation and air traffic control systems; aerospace technology; structural theory; air transport; economics and production; project management; environmental impact.

Students should have demonstrated that they possess and understand knowledge in their field of study, building on the foundations of general secondary education; this is typically at a level which, whilst drawing on advanced textbooks, also includes certain aspects requiring knowledge from the cutting edge of their field of study.

Students should be able to apply their knowledge to their work or profession in a professional manner and possess the skills typically demonstrated through the development and defence of arguments and the resolution of problems within their field of study.

Students should have the ability to gather and interpret relevant data (usually within their field of study) in order to form judgements that include reflection on relevant social, scientific or ethical issues.

Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.

Students should have developed the learning skills necessary to undertake further study with a high degree of autonomy.

Learning outcomes

Ability to apply knowledge to the resolution of real-world problems.

Knowledge of the different existing aircraft configurations and their components.

Conducting research on specific topics.

Theoretical and practical knowledge of the behaviour of gases and fluids, as well as energy transfer mechanisms.

Course description

Overview: Aerospace Activities, Airspace.

Aircraft Architecture: Aircraft Configuration, Aircraft Elements and Structural Components, Aeronautical Materials, On-board Systems and Equipment, Flight and Navigation Instruments.

Fundamentals of Atmospheric Flight: Lift, High-Lift Devices, Aircraft Airfoil, Aerodynamic Drag, Control Inputs.

Airport Facilities: Airport Operations, Main Characteristics and Functions of Airports, Airport Management.

Air Navigation and Transport: Air Navigation Systems and Associated Infrastructure; Air Transport: Characteristics, Management and Operations.

Teaching Activities

Classroom presentation of concepts related to the topics comprising each subject and problem-solving exercises to enable students to understand how to tackle them, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Carrying out work in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Sitting examinations and assessment tests.

Assessment system and criteria

Without prejudice to any other requirements that may be specified in the relevant course syllabus, as a general rule, failure to attend more than 60 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the standard examination period. In this case, the examination to be held during the official period set by the University will be the sole assessment criterion, with the weighting specified in the course syllabus.

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The assessment process will consist of verifying and evaluating the student’s acquisition of the learning outcomes. To this end, the following assessment activities will be used to determine the extent to which each of the listed learning outcomes has been mastered, and these will consist of:

The format of the assessment tests may include multiple-choice questions, short-answer questions, essay questions, problem-solving tasks, case studies, laboratory tests or workshops, or the design of prototypes, products or models, to be completed in writing or orally. Where applicable, the coordinator will provide details of the assessment methods to be used prior to the assessments taking place.

For competences involving knowledge of subject content, a set of written examinations will be set, covering the content covered in the classroom-based training activities.

All content will be assessed on a scale of 0 to 10. The assessment of practical content will account for 70 per cent of the final mark, and that of theoretical content for 30 per cent.

There will be two overall continuous assessment marks which will determine whether the student has passed the module without having to sit the standard final exam in February. For an average to be calculated between the two marks, each must be higher than 3.5. For the average of the two marks to constitute a pass via continuous assessment, it must be 5.0 or higher.

In the final examinations – the ordinary February exam and the supplementary July exam – the same weightings will apply to theoretical and practical content, with the final mark being one of the following:

a. 0–4.9: Fail (SS).

b. 5.0–6.9: Pass (AP).

c. 7.0–8.9: Good (NT).

d. 9.0–10: Distinction (SB).

The distinction of ‘Honours’ will be awarded to students who have achieved a mark of 9.0 or above. However, the number of students awarded this distinction may not exceed five per cent of those enrolled on the course in the relevant academic year, unless the number of enrolled students is fewer than 20, in which case only one ‘First Class Honours’ may be awarded.

Bibliography

Supplementary:

1.- Esteban Oñate, Antonio

Aircraft Knowledge

Madrid: Thomson Paraninfo, 2007. 2007.

ISBN: 9788428329514

2. Franchini, Sebastián

Introduction to Aerospace Engineering

Madrid: University Institute of Microgravity. 2008.

ISBN: 9788493535018

3. Isidoro Carmona, Anibal

Aerodynamics and Aircraft Performance

Madrid: Thomson-Paraninfo, 2004. 2004.

ISBN: 9788428328883

Links

SPANISH AIRPORTS AND AIR NAVIGATION – A public enterprise responsible for managing Spanish airports as well as air navigation facilities and infrastructure in the civil sector.

NATIONAL AERONAUTICS AND SPACE ADMINISTRATION – Multimedia – NASA website offering the public images, videos and other public domain resources relating to space, space missions and space platforms.

AIRLINERS.NET – A website featuring a vast collection of high-quality photographs of aircraft and aerial vehicles.

NATIONAL INSTITUTE OF AEROSPACE TECHNOLOGY – An agency of the Ministry of Defence and a leading centre in Spain for aerospace technology and its industrial applications.

SCHOOL OF AERONAUTICAL AND SPACE ENGINEERING – The EIAE is part of the Polytechnic University of Madrid and is a leading institution in Spain for the training of aeronautical engineers.

EUROPEAN AERONAUTICS, DEFENCE AND SPACE – The first European joint venture for the development of programmes relating to the aerospace, space and defence sectors.

AIRBUS – The leading European company in the manufacture and development of commercial airliners.

BOEING – The leading US company in the manufacture and development of commercial aircraft.

Objectives

The Economics and Business Administration module is an introductory course to the fundamentals of business economics, providing an introductory overview of what a business is and its functional areas, the role of business in society, how decisions are made, and how businesses position themselves in the market.

The aims of this module are:

To introduce students to basic economic and business concepts.

To link the concept of a business with that of an institution.

To understand and use the various tools that essentially measure the efficiency of a business or institution.

To familiarise students with the main forms of business organisation and how they correspond to current companies and sectors.

Prerequisites

No prerequisites have been set.

Competencies

Adequate knowledge of the concept of a business, and the institutional and legal framework governing businesses. Business organisation and management.

Students must have demonstrated that they possess and understand knowledge in their field of study, building on the foundations of general secondary education; this is typically at a level which, whilst drawing on advanced textbooks, also includes certain aspects requiring knowledge from the cutting edge of their field of study.

Students should be able to apply their knowledge to their work or profession in a professional manner and possess the skills typically demonstrated through the development and defence of arguments and problem-solving within their field of study.

Students should have the ability to gather and interpret relevant data (usually within their field of study) in order to form judgements that include reflection on relevant social, scientific or ethical issues.

Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.

Students should have developed the learning skills necessary to undertake further study with a high degree of autonomy.

Learning outcomes

Ability to apply basic business management techniques.

Understanding of the concepts of business organisation and the most common organisational structures.

Course Content

First Block: Teaching Units 1 to 6 (Part I) (1st mid-term exam)

This block focuses on the Concept and Management of the Organisation, as well as the area of Human Resources. Through these units, students gain a solid understanding of the fundamentals of the organisation, including its definition, types, and the importance of an appropriate organisational structure.

The roles of business management are studied in detail, with an emphasis on strategic decision-making, planning and the importance of effective leadership.

Part I: Business Management and Decision-Making

1 – The business, the entrepreneur and their environment

2 – Management, strategies and growth

3. Designing the Organisational Structure and Communication

4. People management and human behaviour at work

5. Risk and decision-making

6- Practical techniques for planning, scheduling and control

Second Block: Teaching Units 7 to 12 (Parts II, III, IV and V) (2nd mid-term exam)

The second block explores Financial Management, Operations Management and Marketing in greater depth. These units are designed to provide practical and theoretical knowledge of financial management, operational strategies and marketing techniques, both traditional and digital. Students learn to apply financial concepts to decision-making, to optimise operations to improve efficiency, and to design effective marketing strategies that drive growth and competitiveness in the market.

Part II: Financial Decisions

7 – Introduction to Financial Decisions

8 – Selecting investments and analysing their profitability

9 – Selection of sources of finance and analysis of their cost

Part III: Production Decisions

10. Introduction to production decisions, the human factor, production capacity and logistics

Part IV: Marketing Decisions

11. Introduction to marketing decisions, market research and marketing variables

Part V: Supplementary Topics

12. Risk and business valuation

Teaching Activities

In-class presentation of concepts relating to the topics covered in each subject and problem-solving exercises to enable students to understand how to tackle them, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Carrying out group work in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Sitting examinations and assessment tests.

Assessment system and criteria

Continuous assessment (2 mid-term exams, 1 Skill School and 1 Business Plan): 100% of the total mark for the module

Two multiple-choice exams, each comprising 20 questions with four possible answers; correct answers count as 100 per cent and incorrect answers deduct 25 per cent from the mark for that question. The first exam will cover Units 1–6 in mid-April and the second will cover Units 7–12 in mid-May (40 per cent and 40 per cent) (Mid-term exams cover specific topics) (Minimum mark required to be included in the average: 3).

Completion of the Skill School course or similar (10 per cent).

Final assignment (presentation of a business plan): (This may be carried out in groups (maximum 5 members) and a guide will be provided to ensure it is completed correctly). Expected submission date: end of May (10%).

In-person final exam: 100%

The format of the standard final exam will be identical to the two multiple-choice exams we have taken during the course, but this time covering all teaching units (TU 1–12)

Supplementary exam: 100% of the total mark for the module

Students who have not passed the standard final exam must sit a resit final exam covering (LU 1–12)

Minimum attendance required to be eligible for continuous assessment: 60 per cent

Addendum

Communicative competence (CCL): By presenting in front of your classmates, you will improve your oral expression and effective communication skills.

Digital competence (CD): By creating PowerPoint presentations, you will develop skills in the use of digital tools.

Writing and Composition Skills (CRE): By writing an essay, you will practise structuring texts and the appropriate use of written language.

Financial competence (CAF): By working with tax, social security and employment contract templates, you will gain practical knowledge of taxation, financial management and the world of work.

Mathematical competence (CMM): By carrying out basic mathematical calculations, you will strengthen your skills in financial mathematics.

Teamwork skills (CTE): By drawing up a business plan as a group, you will develop collaboration and teamwork skills.

Entrepreneurial Competence (SIE): By creating a business plan, your entrepreneurial spirit will be fostered, enabling you to acquire skills in the creation and management of business projects.

Social and civic competences (CSC): By understanding the economic organisation of society, you will develop critical thinking, autonomy and the ability to make informed decisions about the economic and social environment in which you participate. This emphasises informed decision-making, a key component of social and civic competences.

Language competence (CL): We will familiarise ourselves with specific economic terms in English.

Bibliography

Core:

1. Bueno Campos, E

Basic Course in Business Economics

Pirámide. 2004.

ISBN: 9788436819113

2. Eduardo Pérez Gorostegui

Fundamentals of Business Economics

Ramon Areces University Press. 2014.

ISBN: 9788499611648

Supplementary:

3.- Alvaro Cuervo García

Business Administration

Cívitas. 2005.

ISBN: 8436816781

4.- Bueno Campos, E.

Business Organisation: Structure, Processes and Models

Madrid: Pirámide, 1997. 1997.

ISBN: 8436809769

5. Kotler, P.

Marketing Management

Prentice Hall, Madrid. 1998.

ISBN: 84-8322-208-6

Objectives

For students to acquire a basic, general understanding of all aspects of engineering relating to production in the aeronautical and space sectors.

To understand the various manufacturing and production processes used in the aeronautical and space industries.

To acquire basic knowledge of process control and quality management in the aeronautical industry.

Prerequisites

No prerequisites have been set.

Competencies

Understand manufacturing processes.

Applied knowledge of: materials science and technology; mechanics and thermodynamics; fluid mechanics; aerodynamics and flight mechanics; navigation and air traffic control systems; aerospace technology; structural theory; air transport; economics and production; project work; environmental impact.

Students should have demonstrated that they possess and understand knowledge in their field of study, building on the foundations of general secondary education; this knowledge is typically at a level which, whilst drawing on advanced textbooks, also includes certain aspects requiring knowledge from the cutting edge of their field of study.

Students should be able to apply their knowledge to their work or profession in a professional manner and possess the skills typically demonstrated through the development and defence of arguments and the resolution of problems within their field of study.

Students should have the ability to gather and interpret relevant data (usually within their field of study) in order to form judgements that include reflection on relevant social, scientific or ethical issues.

Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.

Students should have developed the learning skills necessary to undertake further study with a high degree of autonomy.

Learning outcomes

Ability to apply knowledge to the resolution of real-world problems.

Conducting research on specific topics.

Knowledge of the composition and main physical and chemical characteristics of materials, as well as their main mechanical properties.

Course description

Introduction to Manufacturing Processes and Production Systems.

Metrology.

Manufacturing and Production in a Business Context.

Automation of manufacturing processes.

Production Systems.

Work Organisation.

Production and Inventory Management.

Advanced Production Systems.

Quality Management.

Teaching Activities

Classroom-based presentation of concepts relating to the topics covered in each subject and problem-solving exercises designed to enable students to understand how to tackle these issues, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Laboratory activities of increasing difficulty, enabling students to gradually develop the ability to solve problems independently.

Carrying out projects in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Exams and assessment tests.

Assessment system and criteria

Without prejudice to any other requirements that may be specified in the relevant course syllabus, as a general rule, failure to attend more than 60 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the standard examination period. In this case, the examination to be held during the official period set by the University will be the sole assessment criterion, with the weighting specified in the course syllabus.

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Continuous Assessment:

The final mark for continuous assessment will be the average of the test results achieved during the term.

The mark for a test will be the weighted average of the marks obtained up to that test in the submission of assigned assignments, laboratory practicals and face-to-face assessment of the course content, the weightings for which are set out in the Timetable.

In order to have marks from the various assessments averaged and to pass via continuous assessment, students must achieve a mark of at least 3.5 in each assessment.

Ordinary Examination Session:

For four-month courses, if a student has not passed via continuous assessment, the ordinary examination session will cover the entire course content, with the final mark being that obtained in the in-person examination; continuous assessment will not be taken into account.

For annual modules, one term may be exempted for the ordinary examination period of the module, provided that the average mark for that term is 5 or above.

Extraordinary Examination Session:

In the supplementary examination session, the entire syllabus of the module will be assessed, with the final mark being that obtained in the examination; continuous assessment will not be taken into account.

Bibliography

Essential:

1. Groover, Mikell P.

Fundamentals of Modern Manufacturing: Materials, Processes and

Mexico: McGraw-Hill Interamericana, 2007. 2007.

ISBN: 9780471744856

2. Heizer, Jay

Production Management: Strategic Decisions

Madrid [etc.]: Prentice Hall, 2001. 2001.

ISBN: 8420529249

Links

International Standards – Organisation responsible for promoting the development of international standards for manufacturing, trade and communication across all industrial sectors except for the electrical and electronic sectors.

Spanish Metrology Centre – An autonomous body responsible for defining Spain’s legal units of measurement and establishing metrological control over measuring instruments.

The Spanish Association of Machine Tool Manufacturers. – The Spanish Association of Machine Tool Manufacturers brings together nearly a hundred companies representing around 92 per cent of the sector’s total production in Spain.

Objectives

This module has two objectives:

• Firstly, by undertaking a degree in engineering, students have chosen a career in which they will interact with the natural world, utilising its resources and transforming them. Understanding the basic laws of chemistry will enable them to grasp the key processes that allow us to extract these resources, convert them into materials or energy sources useful to humankind, and recognise the environmental implications that such activity may entail. Knowledge and understanding are the first steps towards applying these concepts and deriving satisfaction from professional practice.

• Furthermore, many of the modules on the degree programme will build upon the skills already acquired through this course. The time spent studying chemistry should be seen as an investment that makes it easier to learn other subjects, particularly those related to materials and the environment.

Prerequisites

No prerequisites have been set.

Competencies

Basic and general competences

CG3 Knowledge of basic and technological subjects, enabling students to learn new methods and theories, and equipping them with the versatility to adapt to new situations.

CG4 The ability to solve problems through initiative, decision-making, creativity and critical thinking, and to communicate and convey knowledge, skills and competences in the field of Industrial Engineering.

CG5 Knowledge required to carry out measurements, calculations, assessments, valuations, expert reports, studies, reports, work plans and other similar tasks.

CG6 Ability to handle specifications, regulations and mandatory standards.

Specific competences

CE4 Ability to understand and apply the principles of basic general, organic and inorganic chemistry and their applications in engineering.

Learning outcomes

RA1 To understand and apply nomenclature in organic and inorganic chemistry.

LA2 Identify, understand and describe the basic chemical reactions that occur in the field of industrial engineering.

LO3 Understand the properties of the different states of matter and relate them to the properties of materials.

LO4 Be able to carry out experimental tests in the chemistry laboratory, as well as analyse, evaluate and interpret the results obtained.

RA5 Be able to work as part of a team, apply critical thinking, make decisions and communicate knowledge and conclusions in the field of industrial engineering.

Course content

The course content will be delivered according to the following topics:

TOPIC 1: Composition of matter.

TOPIC 2: Chemical bonding.

TOPIC 3: Nomenclature in organic and inorganic chemistry.

TOPIC 4: States of matter.

TOPIC 5: Chemical reactions.

TOPIC 6: Thermochemistry.

TOPIC 7: Aqueous solutions: water, solubility and colligative properties.

TOPIC 8: Chemical equilibrium.

TOPIC 9: Acid-base equilibria.

TOPIC 10: Redox equilibria.

TOPIC 11: Precipitation equilibria.

TOPIC 12: Industrial chemistry.

There will be 5 laboratory sessions:

P1: Study of different types of chemical reactions.

P2: Simple distillation. Density and acid-base indicators.

P3: Preparation of aqueous solutions, pH measurement and neutralisation.

P4: Observation of a chemical equilibrium.

P5: Redox titration.

Teaching activities

A1 Classroom presentation of concepts related to the topics comprising each subject and problem-solving exercises to enable students to understand how to tackle them, as well as other face-to-face group sessions such as discussion classes, group discussions, etc.

A2 Laboratory activities of increasing difficulty, enabling students to gradually develop the ability to solve problems independently.

A3 Carrying out work in small groups.

A4 Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

A5 Assessment tests.

A9 Tutorials.

Assessment system and criteria

Without prejudice to any other requirements that may be specified in the relevant course syllabus, as a general rule, failure to attend more than 60 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the standard examination period. In this case, the examination to be held during the official period set by the University will be the sole assessment criterion, with the weighting specified in the course syllabus.

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The assessment systems used to verify and evaluate students’ acquisition of competences can be categorised into three types:

- E1: Written tests throughout the semester, to assess the technical competences associated with the module acquired through the student’s individual study.

- E2: Reports on laboratory practicals to verify the acquisition of the skills developed.

- E3: Problem-solving, completing assignments, drafting reports, and presenting and defending case studies or projects (either individually or in small groups).

There are two official examination sessions: the ordinary and the supplementary.

Ordinary examination period

Students must achieve a mark of 5 points or higher. They may pass the module through continuous assessment. In this case, the final mark is the weighted average of the following assessment activities:

• Mid-term Exam 1. Accounts for 35% of the final mark. A mark of 4 points or higher is required to be included in the average.

• Mid-term Exam 2. This accounts for 35% of the final mark. A mark of 4 points or higher is required to be included in the average.

• Class activities. These account for 15% of the final mark. They include exercises, problems, presentations and individual and group assignments.

• Laboratory practicals. These account for 15% of the final mark. This percentage is broken down into 10% of the mark, corresponding to an exam (a mark of 3.5 points is required to be included in the average), and 5% from an individual report. It is essential to have completed all practical sessions in order to be eligible to sit the exam.

If a student does not achieve a mark of 5 points through continuous assessment, they will have the opportunity to demonstrate that they have met the learning objectives during the designated exam week, as notified for this purpose, as follows:

• The student will sit an exam covering those sections in which they have not achieved a pass (mid-term exam 1, mid-term exam 2, and/or practical exam).

• The mark obtained in the course activities and the mark for the laboratory report will be retained for the calculation of the final mark.

Extraordinary examination session

If a student fails to pass the module during the ordinary examination period, they may do so during the supplementary examination period. The criteria will be as follows:

• Students will sit an exam covering the sections they have not passed (full theory exam (which includes the content of mid-term exams 1 and 2), and/or practical exam).

• To calculate the final mark, the marks obtained for coursework and the laboratory report will be retained.

Bibliography

Essential:

1.- Atkins, P. W.

General Chemistry

Barcelona: Omega, 1991. 1991.

ISBN: 8428208921

2. Chang, Raymond

Essential Principles of General Chemistry

Madrid: McGraw-Hill, 2020.

ISBN: 9788448146269

3. Chang, Raymond

Chemistry /

Mexico: McGraw-Hill, 2013. 2013.

ISBN: 9786071509284

4. Petrucci, Ralph H.

General Chemistry

8th ed.. Madrid: Pearson Educación, 2003. 2003.

ISBN: 8420535338

Supplementary:

5.- Bermejo Martínez, Francisco

Problems in General Chemistry and their Theoretical Foundations

Madrid: Dossat, 1994. 1994.

ISBN: 8423704459

6. Smith, R. Nelson

Solving Problems in General Chemistry

Barcelona [etc.]: Reverté, 1991. 1991.

ISBN: 8429175296

7. Sorum, C. H.

How to Solve Problems in General Chemistry

Madrid: Paraninfo, 1998. 1998.

ISBN: 8428312729

8. Various authors

1,000 Solved Problems in General Chemistry and its Fundamentals

Madrid: Paraninfo, 1996. 1996.

ISBN: 8428322376

9. Willis, Christopher J.

Solving Problems in General Chemistry

Madrid: Reverte, 1993. 1993.

ISBN: 8429175261

Objectives

The main aim of this module is to provide students with a grounding in the core principles of Materials Science, placing particular emphasis on the interaction between a material’s composition, microstructure and inherent properties. Fundamental concepts will be covered, such as the mechanical properties of solids, the modelling of their structure—whether crystalline or amorphous—and how this structure is influenced by the various processes applied to the material, such as deformation or heat treatment. The course will then describe in detail the main categories of materials that have key applications in industry and engineering: metallic materials, polymers, ceramics and composite materials.

In addition, the module will delve into a detailed study of the materials most commonly used in the aerospace industry. These include lightweight materials, such as alloys and composites, which are used in critical areas such as the fuselage, wings and stabilisers, as well as high-performance alloys that are essential in components such as turbines and landing gear. Throughout this study, emphasis will be placed on the most crucial mechanical and functional properties.

The main aim of this course is to equip students with a robust set of tools that will enable them not only to select the appropriate materials for different applications but also to gain an in-depth understanding of their intrinsic characteristics, application techniques and the journey these materials undertake from manufacture to implementation in the aerospace industry.

To complement this theoretical and practical learning, students will develop key skills such as:

*Solving complex situations and problems.

*Identifying, understanding and distinguishing essential information, enabling them to make informed decisions.

*Applying a multidisciplinary approach to problem-solving.

*Collaborating effectively within teams, distributing responsibilities and tasks equitably.

Upon successful completion of this course, students will have developed a refined ability to collaborate, enabling them to interact with and gather information from different sources and individuals, and will possess the essential skills and knowledge required to create components for specific applications.

Prerequisites

No prerequisites have been set.

Competencies

Understand technological capabilities, techniques for optimising materials and the modification of their properties through treatments.

Understand manufacturing processes.

Adequate and applied knowledge of engineering relating to: the fundamentals of fluid mechanics; the basic principles of flight control and automation; the main physical and mechanical characteristics and properties of materials.

Applied knowledge of: materials science and technology; mechanics and thermodynamics; fluid mechanics; aerodynamics and flight mechanics; navigation and air traffic control systems; aerospace technology; structural theory; air transport; economics and production; project work; environmental impact.

Students should have demonstrated that they possess and understand knowledge in their field of study, building on the foundations of general secondary education; this is typically at a level which, whilst drawing on advanced textbooks, also includes certain aspects requiring knowledge from the cutting edge of their field of study.

Students should be able to apply their knowledge to their work or profession in a professional manner and possess the skills typically demonstrated through the development and defence of arguments and the resolution of problems within their field of study.

Students should have the ability to gather and interpret relevant data (usually within their field of study) in order to form judgements that include reflection on relevant social, scientific or ethical issues.

Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.

Students should have developed the learning skills necessary to undertake further study with a high degree of autonomy.

Learning outcomes

Ability to apply knowledge to the resolution of real-world problems.

Carrying out research projects on specific topics.

Conducting experimental tests in laboratories specialising in materials, thermodynamics, elasticity and strength of materials, and electrical engineering.

Analysing, evaluating and interpreting the results obtained from laboratory experiments through written reports.

Understanding of the behaviour of continuous media and their response to different stresses.

Knowledge of the composition and main physico-chemical characteristics of materials, as well as their main mechanical properties.

Course content

TOPIC 1 – GENERAL INTRODUCTION

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TOPIC 2 – ATOMIC BONDING

Introduction

Atomic model

2.1 Bohr’s atomic model

2.2 Atomic model of wave mechanics

2.3 Quantum numbers

2.4 Electron configurations

The periodic table

Binding forces and energies

Primary interatomic bonds

5.1 Ionic bonding

5.2 Covalent Bond

5.3 Pure or partial bonds

5.4 Metallic bonding

Secondary bond or van der Waals bond

6.1 Fluctuating induced dipole bond

6.2 Induced dipole–polar molecule bond

6.3 Bond involving permanent dipoles

Molecules

Mixed bonds

Properties derived from bonds

9.1 Melting point, Tm

9.2 Coefficient of thermal expansion

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TOPIC 3 – CRYSTALLINE STRUCTURE

Introduction

Crystalline and non-crystalline materials

Unit cell

Crystal structures of metals

4.1 Simple cubic crystal structure

4.2 Face-centred cubic crystal structure

4.3 Body-centred cubic crystal structure

4.4 Hexagonal close-packed crystal structure

Crystalline structures of ceramics

5.1 MX type

5.2 MX2 type

5.3 M2X3 type

5.4 M3X4 type

Crystalline structures of polymers

Characterisation of crystalline structures

7.1 Calculation of densities

7.2 Polymorphism and allotropy

7.3 Crystal systems

7.4 Coordination numbers

7.5 Crystallographic directions

7.6 Crystallographic planes

7.7 Anisotropy

7.8 Polycrystalline materials

X-ray diffraction – determination of crystal structures

8.1 The phenomenon of diffraction

8.2 X-ray diffraction and Bragg’s law

8.3 X-ray diffractometer

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TOPIC 4 – DEFECTS

Introduction

Point defects

2.1 Vacancies and self-interstitials

2.2 Solid-State Dissolution

Calculation of concentrations

Line defects

4.1 Wedge dislocation

4.2 Helical dislocation

4.3 Mixed dislocations

4.4 Burgers’ vector

4.5 Dislocation motion

Surface defects

5.1 External surfaces or free surfaces

5.2 Grain boundary (or edge)

5.3 Twin boundary (or edge)

5.4 Other surface defects

Volumetric defects

Atomic mobility and diffusion

7.1 Mobility mechanisms

7.2 Diffusional flux

7.3 Dependencies of diffusivity

Importance of defects

8.1 Dislocation Slipping Control

8.2 Strain hardening

8.4 Grain-size hardening

8.3 Solid-solution hardening

Microscopic observation

9.1 Optical microscopy

9.2 Electron microscopy

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TOPIC 5. PROPERTIES OF MATERIALS

Introduction

General properties

2.1 Density

2.2 Price

2.3 Environmental properties

2.4 Environmental resistance properties

2.5 Wear resistance properties

2.6 Corrosion resistance properties

Thermal Properties

3.1 Thermal expansion

3.2 Thermal stresses

3.3 Heat capacity

3.4 Thermal conductivity

Electrical Properties

4.1 Electric current

4.2 Electrical conductivity

4.3 Electrical classification of materials

4.4 Contributions to resistivity

Mechanical properties

5.1 Stress and strain

5.2 Elastic deformation

5.3 Plastic deformation

5.4 Mechanical strength

5.5 Ductility

5.6 Resilience

5.7 Toughness

5.8 Engineering stress-strain vs actual stress-strain

5.9 Elastic recovery

5.10 Hardness

5.11 Effect of microstructure

Design

6.1 Safety factors

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TOPIC 6 – MECHANICAL FAILURE

Fatigue

1.1 Introduction

1.2 Fundamentals of fracture

1.3 Ductile Fracture

1.4 Brittle Fracture

1.5 Types of crack propagation

1.6 Examination of fracture surfaces

Fracture mechanics

2.1 Introduction

2.2 Stress concentration

2.3 Fracture toughness

2.4 Design based on fracture mechanics

Impact fracture testing

3.1 Impact testing techniques

3.2. Impact testing vs. fracture toughness testing

3.3. Ductile–brittle transition temperature

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TOPIC 7 – Fe-C ALLOYS

Part One: Phase diagrams

General definitions

Equilibrium diagrams

2.1 Phase equilibrium: Thermodynamic principles

2.2 Eutectic point.

2.3 Peritectic and eutectoid points.

Fe-C diagram

3.1 Ferrite – Fe (α)

3.2 Austenite – Fe(γ)

3.3 Cementite – Fe₃C

3.4 Development of microstructures in Fe-C alloys.

3.4.1 Transformation at the eutectoid composition: pearlite.

3.4.2 Hypoeutectoid transformation.

3.4.3 Hypereutectoid transformation.

3.5 Classification according to carbon content.

3.6 Effect of C on mechanical properties

3.7 Influence of other alloying elements.

Ternary phase diagram

Examples of out-of-equilibrium systems

Part Two: Phase transformations

Fundamental concepts

Microstructural and property changes in Fe-C alloys

2.1 TTT (time–transformation–temperature) diagrams

2.1.1 Pearlite

2.1.2 Bainite

2.1.3 Spheroidite

2.1.4 Martensite

2.1.5 Effect of alloying elements

2.1.6 Summary of TTTs according to %C content

2.2 TEC diagrams (time – continuous cooling)

2.2.1 Critical speed – Temperability

2.2.2 Effect of alloying elements

2.2.3 Experimental determination of curves

2.3 Mechanical behaviour of FeC alloys

2.3.1 Pearlite

2.3.2 Spheroidite

2.3.3 Bainite

2.3.4 Martensite

Part Three: Heat Treatments

Introduction

Heat Treatments

2.1 Annealing

2.1.1 Stress relief

2.1.2 Annealing of ferrous alloys

2.1.3 Full annealing

2.1.4 Spheroidisation or globulisation

2.2 Hardening

2.2.1 Effect of specimen size

2.2.2 Evolution of the microstructure

2.2.3 Tempering

2.2.4 Hardenability

2.2.5 Jominy test

2.2.6 Hardenability curves

2.2.7 Critical diameter

Thermomechanical treatments

Thermochemical treatments

Surface treatments

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TOPIC 8: NON-FERROUS ALLOYS

Part One: Dense Alloys

Introduction

Copper and its alloys

2.1 Brass

2.2 Bronze

2.3 Common applications of brass and bronze.

2.4 Copper-aluminium alloys

2.5 Copper-beryllium alloys

Nickel and nickel-based alloys

Superalloys

4.1 Introduction

4.2 Nickel-based superalloys

4.3 Co- and Fe-based superalloys 4.4 Applications

Zinc, lead and tin alloys

Refractory metals

Other materials

7.1 Uranium

7.2 Precious metals

7.3 Amorphous metals

Part Two: Light alloys

Light alloys

Aluminium and its alloys.

2.1 Introduction.

2.2 Improvement of properties

2.2.1 Work hardening.

2.2.2 Precipitation hardening

2.3 Designations

2.4 Classification

2.5 Protection of aluminium

Magnesium and its alloys

3.1 Introduction

3.2 Corrosion

3.3 Heat treatments

Titanium and its alloys

4.1 Introduction

4.2 Titanium alloys

Beryllium and its alloys

5.1 Beryllium

5.2 Applications in casting

******************************************************************

TOPIC 9: CORROSION

Part One: Electrochemical corrosion

Classification and types of corrosion

1.1 Uniform corrosion

1.2 Non-uniform corrosion

Electrochemical corrosion

2.1 Fundamentals of galvanic cells

2.2 Galvanic corrosion

2.3 Thermodynamics of electrochemical corrosion

2.4 Reference electrodes

Measurement of electrochemical potentials

Pourbaix diagrams

Part Two: Corrosion Cells

Introduction.

Heterogeneities.

2.1 In the metal.

2.2 In the medium.

2.3 In physical conditions.

Part Three: Corrosion kinetics

Introduction

Theory of mixed potential

Measurements of corrosion rate

3.1 Potentiostatic method

3.2 Polarisation resistance method

3.3 Example (Pourbaix diagram + kinetics)

Polarisation

Part Four: High-Temperature Corrosion

Introduction to high-temperature corrosion

Thermodynamic aspects

Basic mechanisms of oxide formation

Kinetics of high-temperature corrosion

Factors influencing kinetic laws

High-Temperature Corrosion Protection

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TOPIC 10: COMPOSITE MATERIALS

Introduction

Particle-reinforced composite materials

10.1 Reinforced with large particles

10.2 Dispersion-reinforced

Fibre-reinforced composite materials

10.3 Influence of fibre length

10.4 Influence of fibre orientation and concentration

10.5 Fibre phase

10.6 Matrix phase

10.7 Polymer matrix composites

10.7.1 PMCs with glass fibre

10.7.2 Other fibre-reinforced PMCs

10.8 Fibre-reinforced metal matrix composites

10.9 Hybrid composite materials

10.10 Forming of fibre-reinforced composite materials

10.10.1 Pultrusion

10.10.2 Prepreg

10.10.3 Filament winding

Structural composite materials

10.11 Laminate composites

10.12 Self-repairing composite materials

Training activities

Classroom-based presentation of concepts relating to the topics covered in each subject and problem-solving exercises designed to enable students to understand how to tackle these topics, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Laboratory activities of increasing difficulty, enabling students to gradually develop the ability to solve problems independently.

Carrying out projects in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Exams and assessment tests.

Assessment system and criteria

Without prejudice to any other requirements that may be specified in the relevant course syllabus, as a general rule, failure to attend more than 60 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the standard examination period. In this case, the examination to be held during the official period set by the University will be the sole assessment criterion, with the weighting specified in the course syllabus.

----

The assessment systems used to verify and evaluate students’ acquisition of competences can be categorised into three types:

- E1: Written tests throughout the semester, to assess the technical competences associated with the module acquired through the student’s individual study.

- E2: Reports on laboratory practical work to verify the acquisition of the skills developed.

- E3: Problem-solving, completing assignments, drafting reports, and presenting and defending case studies or projects (either individually or in small groups).

CONTINUOUS ASSESSMENT

Students may pass the course through continuous assessment; to do so, they must complete the practical sessions, with marks awarded based on the following criteria, distinguishing between the theoretical component and the experimental component carried out in the laboratory.

******Theoretical component 85%******

This is divided into 4 mid-term assessments, each accounting for 25% of the 85% allocated to the theoretical component.

- First mid-term exam: 25%

- Second mid-term exam: 25%

- Third mid-term exam: 25%

- Fourth mid-term exam: 25%

Depending on how the course progresses, the fourth mid-term assessment may consist of a theoretical/practical exam, as with mid-terms 1, 2 and 3, or a group research project involving the submission of a report, as well as a presentation and defence of the project (consisting of a question-and-answer session). Both assessment methods carry the same weighting of 25 per cent of the total 85 per cent.

Should the mark for a mid-term exam be below 3.5, marks from the other mid-term exams may be excluded if the mark is 5 or above.

******Laboratory sessions 15%******

Attendance is compulsory. Failure to attend means forfeiting the right to continuous assessment.

The practical session syllabus will be made available via the course portal (virtual campus) well in advance and must be studied before the practical session takes place. Assessment of the practical sessions requires attendance and passing an exam.

The minimum laboratory mark required to be assessed via continuous assessment is 4/10 marks; however, please note that attendance at and completion of all practical sessions are compulsory in order to pass the course.

Note: To take part in the practical sessions, you must bring a lab coat, safety goggles and a non-spiral-bound lab notebook.

The student’s final mark will be the weighted average of the continuous assessment and the mark for the practical laboratory course.

The module will be passed via continuous assessment if the weighted average is above 5, provided that the mark for each theoretical mid-term test is higher than 3.5, the student has attended the practical sessions and has obtained a mark higher than 4/10 in the laboratory exam.

REGULAR EXAMINATION SESSION (100%)

In the final exam for the ordinary examination period, students are assessed on the entire course (questions and exercises from the theoretical syllabus, seminar assignments and laboratory practicals); only if the practicals have been passed will the practicals mark be retained, and it will not be necessary to sit the exam for this part during the ordinary examination period.

SUPPLEMENTARY EXAM (100%)

In the supplementary examination, students will be assessed on the content of the entire module: lectures, seminars and practicals.

***No part of the course is carried over to this sitting***

Bibliography

Essential:

1. Ashby, Michael F.

Materials Selection in Mechanical Design

Amsterdam [etc.]: Elsevier Butterworth Heinemann, 2005.

ISBN: 0750661682

2. Ashby, Michael F.

Materials for Engineering

Barcelona: Reverté, 2008. 2008.

ISBN: 9788429172560

3. Callister Jr., William D.

Introduction to Materials Science and Engineering

Barcelona: Reverté, 1995–2001. 2020.

ISBN: 8429172521

4. J.F. Shackelford

Introduction to Materials Science for Engineers

Pearson. 2010.

ISBN: 9788483226599

5. Mouritz, Adrian P.

Introduction to Aerospace Materials. /

Reston, USA; Cambridge [etc.]: American Inst. 2012.

ISBN: 9781600869198

Objectives

For students to acquire a basic and general understanding of the behaviour of continuous materials used in engineering.

To understand the response of deformable solids subjected to systems of forces in static equilibrium, with a view to determining the state of stresses and strains.

To gain practical knowledge of the behaviour of structures through laboratory practicals.

Prerequisites

No prerequisites have been set.

Learning Outcomes

Students must have demonstrated that they possess and understand knowledge in their field of study, building on the foundations of general secondary education; this is typically at a level which, whilst drawing on advanced textbooks, also includes certain aspects requiring knowledge from the cutting edge of their field of study.

Students should be able to apply the knowledge they have acquired to their work or profession in a professional manner and possess the skills typically demonstrated through the development and defence of arguments and problem-solving within their field of study.

Students should have the ability to gather and interpret relevant data (usually within their field of study) in order to form judgements that include reflection on relevant social, scientific or ethical issues.

Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.

Students should have developed the learning skills necessary to undertake further studies with a high degree of autonomy.

To understand the behaviour of structures under loads in service conditions and in limit states.

Adequate and applied knowledge of the following engineering topics: the principles of continuum mechanics and the techniques for calculating its response.

Adequate and engineering-relevant knowledge of: the fundamentals of fluid mechanics; the basic principles of flight control and automation; the main physical and mechanical characteristics and properties of materials.

Applied knowledge of: materials science and technology; mechanics and thermodynamics; fluid mechanics; aerodynamics and flight mechanics; navigation and air traffic control systems; aerospace technology; structural theory; air transport; economics and production; project management; environmental impact.

Learning outcomes

Ability to apply knowledge to solving real-world problems.

Carrying out research projects on specific topics.

Conducting experimental tests in laboratories specialising in thermodynamics, elasticity and strength of materials, and electrical engineering.

Analysing, evaluating and interpreting the results obtained from laboratory experiments through written reports.

Understanding of the behaviour of continuous media and their response to different stresses.

Knowledge of the composition and main physico-chemical characteristics of materials, as well as their main mechanical properties.

Course content

Continuum Mechanics: Stress, Strain, Laws of Behaviour of Elastic Solids, Energy Theorems, Equations of Elasticity.

Strength of Materials: The Prismatic Body, Basic Loads, Deformation of Prismatic Bodies, Isostatic Beams.

Structural Analysis: Simple Open Structures, Simple Closed Structures, Trusses, Articulated Structures, Matrix Analysis of Planar Structures.

Two-Dimensional Elasticity: Plane Elasticity in Cartesian Co-ordinates, Solutions Using Stress Functions, Plane Elasticity in Polar Co-ordinates, Three-Dimensional Elasticity in Solids of Revolution, Thermoelasticity, Energy Methods.

Plate Theory: Rectangular and Circular Plates.

Membranes: Membranes with Rotational Symmetry, Bending of Membranes with Rotational Symmetry.

Plasticity: Plastic Behaviour, Plasticisation Criteria, Bending of Prismatic Members.

Fracture Mechanics: Energy Approach, Stress Approach. Fatigue.

Fundamentals of the Elasticity of Materials.

- Concept of Stress, Equations of Equilibrium, Stress Tensor and Principal Stresses.

- Plane Stress State and Mohr’s Circle.

- Concept of Deformation and Deformation Tensor.

- Hooke’s Law, the Principle of Superposition, the Stress-Strain Diagram and Generalised Hooke’s Law.

- Ultimate Stress, Allowable Stress and Safety Factor, Equivalent Stress and Strength Criteria.

Fundamentals of Strength of Materials.

- Strength of Materials.

- Concepts of a Component and a Structure.

- Principles of Strength of Materials.

- Definition of Internal Forces in a Cross-Section and the Relationship between Internal Forces and Stresses.

- Boundary Conditions.

- Isostatic and Hyperstatic Structures.

- Stress Laws.

Tension and Compression.

- Stress and Strain State in a Straight Member. Uniaxial Loading.

- Articulated Structures.

Bending.

- Pure bending. Pure bending about a single axis. Deflected pure bending.

- Simple bending.

- Compound bending. Compound bending about a single axis. Compound bending about two axes.

- Centre of a cross-section.

Shear.

- Pure shear. Colignon’s theory. Solid sections; thin-walled sections: open, closed, branched and multicellular.

- Deviated constant.

- Centre of shear stresses.

Torsion.

- Coulomb’s theory. Uniform torsion without warping.

- Saint-Venant’s theory. Membrane analogy. Rectangular cross-section, thin-walled rectangular cross-section and open profile, thin-walled branched cross-section, thin-walled closed cross-section and thin-walled multicellular cross-section.

Elasticity equation.

Navier’s formula for displacements and rotations.

Buckling. Euler’s equation.

Hyperstatic structures.

Compatibility method. Example involving continuous beams and other structures.

Introduction to Energy Methods. Fracture Mechanics.

Teaching activities

Classroom presentations on the concepts related to the topics covered in each subject and problem-solving exercises to enable students to understand how to tackle them, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Laboratory activities of increasing difficulty, enabling students to gradually develop the ability to solve problems independently.

Carrying out projects in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Exams and assessment tests.

Assessment system and criteria

Without prejudice to any other requirements that may be set out in the relevant course syllabus, as a general rule, failure to attend more than 60 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the standard examination period. In this case, the examination to be held during the official period set by the University will be the sole assessment criterion, with the weighting specified in the course syllabus.

----

For competences involving laboratory skills, students will be assessed on the basis of their performance in practical sessions, the preparation of reports on the work carried out, the dedication and interest shown whilst undertaking the work, as well as written tests relating to the experimental work.

Solving set problems, submission and presentation of group work. Preparation of case studies.

For skills involving knowledge of the subject content, a series of written examinations will be set, covering the content covered in the classroom-based learning activities.

CONTINUOUS ASSESSMENT:

To be eligible for continuous assessment, students must achieve a minimum attendance rate of 60% at the course’s teaching sessions.

The final mark for continuous assessment will be the average of the test marks achieved during the term.

The mark for a test will be the weighted average of the marks obtained up to that test in the submission of assigned assignments, laboratory practicals and face-to-face assessment of the course content, the weightings for which are set out in the Timetable.

In order to have marks from the various assessments averaged and to pass via continuous assessment, students must achieve at least a 3.5 in each assessment.

REGULAR EXAMINATION PERIOD:

A term may be waived for the ordinary assessment period of the module provided that the average mark for the term is 5 or above.

SUPPLEMENTARY EXAMINATION PERIOD:

In the supplementary examination, the entire syllabus of the module will be assessed, with the final mark being that obtained in the examination; continuous assessment will not be taken into account.

Students’ results in the modules will be graded according to the following numerical scale from 0 to 10, expressed to one decimal place, to which the corresponding qualitative grade may be added:

a. 0–4.9: Fail (SS).

b. 5.0–6.9: Pass (AP).

c. 7.0–8.9: Good (NT).

d. 9.0–10: Distinction (SB).

The distinction of ‘Honours’ shall be awarded to students who have obtained a mark of 9.0 or higher. The number of students awarded this distinction may not exceed five per cent of those enrolled on the course in the relevant academic year, unless the number of students enrolled is fewer than 20, in which case only one ‘First Class Honours’ may be awarded.

Timetable

Click on this link to view the detailed timetable in Excel

Bibliography

Essential:

1. Cervera Ruiz, Miguel

Structural Mechanics, Volume 1, Strength of Materials

Barcelona: Edicions UPC, 2007. 2007.

ISBN: 9788483015179

2.- Ortiz Berrocal, Luis

Strength of Materials

Madrid [etc.]: McGraw-Hill, 2007. 2007.

ISBN: 9788448156336

3. Timoshenko, S.

Theory of Elasticity

Bilbao: Urmo, 1978. 1978.

ISBN: 8431402318

Objectives

To acquire the knowledge required for application in higher education and professional life in the fields of Integration, Differential Equations, Statistics and Complex Variables.

Prerequisites

No prerequisites have been set.

Competencies

Ability to solve mathematical problems that may arise in engineering. Ability to apply knowledge of: linear algebra; geometry; differential geometry; differential and integral calculus; differential and partial differential equations; numerical methods; numerical algorithms; statistics and optimisation.

Students must have demonstrated that they possess and understand knowledge in their field of study, building on the foundations of general secondary education; this knowledge is typically at a level which, whilst drawing on advanced textbooks, also includes certain aspects requiring knowledge from the cutting edge of their field of study.

Students should be able to apply their knowledge to their work or profession in a professional manner and possess the skills typically demonstrated through the development and defence of arguments and the resolution of problems within their field of study.

Students should have the ability to gather and interpret relevant data (usually within their field of study) in order to form judgements that include reflection on relevant social, scientific or ethical issues.

Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.

Students should have developed the learning skills necessary to undertake further study with a high degree of autonomy.

Learning outcomes

Ability to apply acquired knowledge to the resolution of real-world problems.

Ability to engage in abstract reasoning and logical and algorithmic thinking.

Ability to solve highly complex mathematical problems.

Teamwork within small groups.

Course content

Differential Equations: Introduction to Ordinary Differential Equations, Existence Theorems, Systems of Linear Equations, Solving Linear Equations by Series Expansions, Stability and Control Theory.

Differential Geometry: Curves, Surfaces, Tensors, Integration along Curves and on Surfaces.

Complex Variables: Algebraic Structure, Complex Plane, Complex Functions and Properties.

Mathematical Methods: Analytic Functions, Functional Analysis, Generalised Functions, Orthogonality and Fourier Series, Integral Transforms, First-Order Partial Differential Equations, Variational Problems, Integral Equations.

Statistics: One-Dimensional Random Variable, N-Dimensional Random Variable, Sampling Theory, Decision Theory, Regression Analysis, Statistical Quality Control.

Teaching activities

Classroom-based presentation of concepts relating to the topics covered in each subject and problem-solving exercises designed to enable students to understand how to tackle these concepts, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Carrying out work in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Sitting examinations and assessment tests.

Assessment system and criteria

Without prejudice to any other requirements that may be specified in the relevant course syllabus, as a general rule, failure to attend more than 60 per cent of the course’s teaching activities—which require the student’s physical or virtual presence—will result in the loss of the right to continuous assessment during the standard examination period. In this case, the examination to be held during the official period set by the University will be the sole assessment criterion, with the weighting specified in the course syllabus.

----

The assessment process will consist of verifying and evaluating the student’s acquisition of the learning outcomes. To this end, the following assessment activities will be used to determine the extent to which each of the listed learning outcomes has been mastered, and these will consist of:

Solving set problems, submitting and presenting group projects. Completing practical case studies.

For competences involving knowledge of subject content, a series of written examinations will be set, covering the content covered in the classroom-based learning activities.

To obtain the credits corresponding to the module, students must pass the relevant assessment. The level of learning achieved by students will be expressed as numerical marks on a scale of 0 to 10,

The module may be passed either through continuous assessment or through a final examination (in the event that the student has not passed via continuous assessment).

CONTINUOUS ASSESSMENT:

The final mark for continuous assessment will be the average of the tests taken during the term.

The mark for a test will be the weighted average of the marks obtained up to that test in the submission of assigned work and the in-class assessment of the course content, the weightings for which are set out in the Timetable.

In order to have the marks from the various assessments averaged and to pass via continuous assessment, students must achieve at least a 3.5 in each one.

REGULAR EXAMINATION PERIOD:

A term may be waived for the ordinary assessment period of the module provided that the average mark for the term is 5 or above.

SUPPLEMENTARY EXAMINATION PERIOD:

In the supplementary examination, the entire syllabus of the module will be assessed, with the final mark being that obtained in the examination; continuous assessment will not be taken into account.

The level of learning achieved by students will be expressed using numerical marks.

Students’ results in the modules will be graded according to the following numerical scale from 0 to 10, expressed to one decimal place, to which the corresponding qualitative grade may be added:

a. 0–4.9: Fail (SS).

b. 5.0–6.9: Pass (AP).

c. 7.0–8.9: Good (NT).

d. 9.0–10: Distinction (SB).

The distinction ‘Honours’ shall be awarded to students who have obtained a mark of 9.0 or higher. The number of students awarded this distinction may not exceed five per cent of those enrolled on the course in the relevant academic year, unless the number of enrolled students is fewer than 20, in which case only one ‘First Class Honours’ may be awarded.

Objectives

To assimilate the concepts necessary to understand:

- The fundamental quantities of particle kinematics and dynamics, and the theorems relating their values.

- The kinematics and dynamics of a rigid body, with particular focus on a rigid body with a fixed (constrained) point.

- The influence of friction on motion.

- The fundamental principles of statics and their applications in the field of engineering.

- Lagrangian mechanics and the Hamiltonian

- Orbits

It is also intended that students:

- Acquire sufficient proficiency to answer conceptual questions on the subjects listed above.

- Develop the ability to solve problems of a similar level of difficulty to those set in class.

- Identify real-world systems in which the theoretical concepts learnt can be observed.

Through this, students will also develop the following skills:

- The ability to analyse and synthesise.

- The ability to organise and plan.

- Critical thinking.

- Independent learning.

- Bibliographic research.

- Teamwork.

Prerequisites

No prerequisites have been set

Skills

Understanding how aerodynamic forces determine flight dynamics and the role of the various variables involved in the phenomenon of flight.

Applied knowledge of: ‘materials science and technology’; ‘mechanics and thermodynamics’; ‘fluid mechanics’; aerodynamics and flight mechanics; navigation and air traffic control systems; aerospace technology; structural theory; air transport; economics and production; project work; environmental impact.

Students should have demonstrated that they possess and understand knowledge in their field of study, building on the foundations of general secondary education; this is typically at a level which, whilst drawing on advanced textbooks, also includes certain aspects requiring knowledge from the cutting edge of their field of study.

Students should be able to apply their knowledge to their work or profession in a professional manner and possess the skills typically demonstrated through the development and defence of arguments and the resolution of problems within their field of study.

Students should have the ability to gather and interpret relevant data (usually within their field of study) in order to form judgements that include reflection on relevant social, scientific or ethical issues.

Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences.

Students should have developed the learning skills necessary to undertake further study with a high degree of autonomy.

Learning outcomes

Ability to apply the knowledge acquired to the resolution of real-world problems.

Analysis, evaluation and interpretation of the results obtained from laboratory experiments through written reports.

Carrying out research projects on specific topics.

Course content

Rational Mechanics: Kinematics of a Point, Kinematics of a Rigid Body, Composition of Motions, Work, Equilibrium and Stability, Geometry of Masses, General Equations, Dynamics of a Point, Rectilinear and Harmonic Motion, Orbital Mechanics, Constrained Motion, Pendulums, Relative Dynamics, Dynamics of a Rigid Body, Impacts.

Analytical Mechanics: Free and Constrained Systems, Classification of Constraints and Systems, Virtual Displacements, Ideal Constraints, Principle of Virtual Work, General Equation of Statics, Equilibrium of a Holonomic System, D’Alembert’s Principle, General Equation of Dynamics, Lagrange’s Equations, Lagrangian Function, Natural Systems, Hamiltonian Mechanics.

Contents

Topic 1 – PARTICLE KINEMATICS AND RELATIVE MOTION

- Definition of motion, velocity and acceleration

- Reference frames: in the plane and in space (coordinates)

- Methods for calculating velocities and accelerations:

- Velocity and acceleration fields

- Relative motion

Topic 2 – PARTICLE DYNAMICS

Fundamental theorems

- Concept of a particle

- Newton’s Second Law

- Momentum

- Angular momentum

- Kinetic energy. The theorem of living forces

- Central forces

- Conservative forces. The theorem of conservation of energy.

Topic 3 – THEORY OF OSCILLATIONS

- Free oscillations

- Damped oscillations

- Forced damped oscillations

- Forced oscillations

Topic 4: KINEMATICS OF A RIGID BODY

Two-dimensional motion

- Translation

- Rotation

- General motion

- Instantaneous centre of rotation

- Relative movements.

Three-dimensional motion

- Tangential helical motion. Helical axis

- Axoids

- Euler angles

Topic 5. – DYNAMICS OF RIGID BODIES

Two-dimensional motion

- Fundamental equations

- Rolling

Motion in three dimensions

- Inertia tensor

- Kinetic moment

- Kinetic energy

- Euler’s equations

Rigid body with a fixed point

- Poinsot motion

- Euler’s motion

Solid with a fixed axis

Free solid

Topic 6 – ORBITS

- Gravitational orbits

- Energetic definition of orbits

- Kepler’s laws

- Binary system

- Anomalies

Topic 7. LAGRANGIAN DYNAMICS

- Generalised coordinates

- Free coordinates

- Lagrange’s equation

- Equivalent Lagrangians

Topic 8. – STATICS

- Conditions of equilibrium

- Stability of equilibrium

Systems with a single variable

Systems with two variables

-Principle of virtual work

Topic 9. – THEORY OF FLEXIBLE STRINGS

-Fundamental equation. Cartesian and intrinsic coordinates

-Special cases

-Study of the catenary

-Study of the parabola

Topic 10. – HAMILTONIAN DYNAMICS

-Legendre transform

-Hamilton’s canonical equations

Learning activities

In-class presentation of concepts relating to the topics covered in each subject and problem-solving exercises to enable students to understand how to tackle them, as well as other face-to-face group sessions such as discussion classes, group work, etc.

Carrying out work in small groups outside the classroom.

Independent study, report writing, practical work, etc., carried out by individual students or groups of students.

Sitting examinations and assessment tests.

Assessment system and criteria

The format of assessment tests may include multiple-choice questions, short-answer questions, essay questions, problem-solving tasks, case studies, laboratory tests or workshops, or the design of prototypes, products or models, to be completed in writing or orally. Where applicable, the coordinator will provide details of the type of assessment to be undertaken prior to the tests taking place

----

The assessment process will consist of verifying and evaluating the student’s acquisition of the competences. To this end, the following assessment activities will be used to determine the extent to which each of the listed competences has been mastered, and these will consist of:

For competences involving laboratory skills, students will be assessed on the basis of their practical work, the preparation of reports on the work carried out, the dedication and interest shown whilst carrying out the work, as well as written tests relating to the experimental work.

Solving set problems, submitting and presenting group projects. Preparing case studies.

For the competences involving knowledge of the subject matter, a series of written examinations will be set, covering the content covered in the classroom-based learning activities.

ASSESSMENT

Continuous assessment

One exam for each of the four modules:

Exam 1 (18%)

Exam 2 (18%)

Exam 3 (18%)

Exam 4 (18%)

Assignments and coursework (28%, 7% per module)

Regular examination session

Students who do not pass the module during the term via continuous assessment must sit the ordinary examination session. The examination in this session will account for 100% of the mark. Students must be examined on all the course content.

If students have passed either the first or second term, they may be exempt from that part in the ordinary examination session. In this case, the ordinary examination will cover the content of the term in which they failed, and the mark obtained will replace the mark for that term.

Extraordinary examination session

In the supplementary examination session, the exam will account for 100 per cent of the mark. Students must be examined on all course content.

Timetable

Click on this link to view the detailed timetable in Excel