Study programme competencies |
Code
|
Study programme competences / results
|
A38 |
A0.3 Ability to use spatial representation systems, sketching, dimensioning, and graphical representation language and techniques for building elements and processes. |
B31 |
B1 Students will demonstrate knowledge and understanding of subjects that build upon the foundation of a general secondary education using advanced textbooks and ideas and analyses from the cutting edge of their field. |
B32 |
B2 Students will be able to use their knowledge professionally and will possess the skills required to formulate and defend arguments and solve problems within their area of study. |
B33 |
B3 Students will have the ability to gather and interpret relevant data (especially within their field of study) in order to make decisions and reflect on social, scientific and ethical matters. |
B34 |
B4 Students will be able to communicate information, ideas, problems and solutions to specialist and non-specialist audiences alike. |
B35 |
B5 Students will develop the learning skills and autonomy they need to continue their studies at postgraduate level. |
C1 |
Adequate oral and written expression in the official languages. |
C3 |
Using ICT in working contexts and lifelong learning. |
C4 |
Acting as a respectful citizen according to democratic cultures and human rights and with a gender perspective. |
C6 |
Acquiring skills for healthy lifestyles, and healthy habits and routines. |
C7 |
Developing the ability to work in interdisciplinary or transdisciplinary teams in order to offer proposals that can contribute to a sustainable environmental, economic, political and social development. |
C8 |
Valuing the importance of research, innovation and technological development for the socioeconomic and cultural progress of society. |
Learning aims |
Learning outcomes |
Study programme competences / results |
Understand geometry as a graphic model capable of establishing spatial relationships that allow the understanding, description and control of constructive and architectural forms. |
A38
|
B31 B32 B33 B34 B35
|
C1 C3 C4 C6 C7 C8
|
Know and apply the theoretical foundations, terminology, concepts, conventions, methods and layouts of the different Graphic Representation Systems applicable in building and architecture for the resolution of practical problems. |
A38
|
B31 B32 B33 B34 B35
|
C1 C3 C4 C6 C7 C8
|
Solve positional problems (intersections, parallelism, perpendicularity) and metric problems (distances and angle determination) between the various geometric elements. |
A38
|
B31 B32 B33 B34 B35
|
C1 C3 C4 C6 C7 C8
|
Know and represent in the different systems the main bodies and geometric surfaces of constructive and architectural application, both at the level of mathematical concept and graphic analysis and representation. |
A38
|
B31 B32 B33 B34 B35
|
C1 C3 C4 C6 C7 C8
|
Know the general foundations of the Theory of Shadows as a geometric rationalization of the luminous phenomenon in the different Representation Systems of architectural application. |
A38
|
B31 B32 B33 B34 B35
|
C1 C3 C4 C7 C8
|
Applying the figured planes system (topographic projection) to the graphic resolution of roofs, to the representation of the terrain and to the resolution of modified topographies in the execution of esplanades and roads. |
A38
|
B31 B32 B33 B34 B35
|
C1 C3 C4 C6 C7 C8
|
Apply the perspective spatial representation systems (Orthogonal Axonometry, Oblique Axonometry and Linear Perspective) to the graphic definition of architectural and construction elements. |
A38
|
B31 B32 B33 B34 B35
|
C1 C3 C4 C6 C7 C8
|
Analyze and know the variations of the different elements of the linear perspective, the restitution of perspective images and their generation conditions. |
A38
|
B31 B32 B33 B34 B35
|
C1 C3 C4 C6 C7 C8
|
Contents |
Topic |
Sub-topic |
Lesson 1.- DIHEDRAL REPRESENTATION SYSTEM:
FUNDAMENTALS AND POSITIONAL PROBLEMS |
Introduction. Basics. Fundamentals. Representation of point, line and plane. Spatial basic geometric relations. Parallelism.
Intersections. Perpendicularity |
Lesson 2.- DIHEDRAL REPRESENTATION SYSTEM:
GRAPHICS METHODS AND METRIC PROBLEMS. |
Geometric Procedures: Change of planes of projection. Rotations. Plans' Abatment (rotated planes method). Distances. Angles. |
Lesson 3.- DIHEDRAL REPRESENTATION SYSTEM:
ANALYSIS AND REPRESENTATION OF SURFACES |
Representation of surfaces. Regular polyhedra. Radiating polyhedra: Pyramid and Prism. Radiated Quadrics: Cone and Cylinder. Representation of the Sphere. |
Lesson 4. DIHEDRAL REPRESENTATION SYSTEM:
INTERSECTION OF SURFACES AND THEORY OF SHADOWS |
Intersection of surfaces. Methods. Architectural applications: vaults, domes and lunettes. Shadow Theory applied to Diedral System. |
Lesson 5.- FIGURED PLANS SYSTEM (TOPOGRAPHICAL PROJECTION): FUNDAMENTALS |
Introduction. Fundamentals. Representation of the plane.
Positional Problems: parallelism, perpendicularity, intersections. Abatments. Metrical problems: distances and angles. Representation of geometric surfaces. |
Lesson 6.- FIGURED PLANS SYSTEM (TOPOGRAPHICAL PROJECTION): APPLICATIONS IN BUILDING. ROOFS. LAND REPRESENTATION.
|
Graphical resolution of roofs. Topographical surfaces and interventions on the ground: dirt moving and road layout. |
Lesson 7.- ORTHOGONAL AXONOMETRY. Fundamentals and implementation. |
Orthogonal axonometry. Overview. Axonometry classes. Tri-rectangle triangle. Axonometric axes. Axonometric scales. Schlömilch-Waisbach theorem. Representation of the fundamental geometric elements: point, line and plane. Positional problems. Intersections. Parallelism and perpendicularity. Implementation in orthogonal axonometry: representation of plane figures, geometric bodies and shadow theory. |
Lesson 8.- OBLIQUE AXONOMETRIES: Cavalier (cabinet) and Military Perspective. Fundamentals and implementation. |
Oblique Axonometry. Overview. Pohlke's theorem. Cavalier (cabinet) and Military perspective. Projection direction. Reduction coefficients. Representation of the fundamental geometric elements: point, line and plane. Positional problems. Intersections. Parallelism and perpendicularity. Implementation in oblique axonometry: representation of plane figures, geometric bodies and Shadow Theory. |
Lesson 9.LINEAR PERSPECTIVE. Fundamentals. |
Generalities and conventions. Representation of the fundamental geometric elements: point, line and plane.
Positional problems. Intersections. Parallelism. Perpendicularity. Rotated plane method. Metric problems. |
Tema 10. LINEAR PERSPECTIVE. Implementation. |
Visual perception and representation. Influence of the relative position of the elements of the linear perspective. Vision angle. Classification of linear perspectives according to the position of the Point of View and the Plane of the Picture. Perspective restitution and Shadow Theory. |
Planning |
Methodologies / tests |
Competencies / Results |
Teaching hours (in-person & virtual) |
Student’s personal work hours |
Total hours |
Guest lecture / keynote speech |
A38 B31 B32 B33 B34 B35 C1 C3 C4 C6 C7 C8 |
45 |
60 |
105 |
Problem solving |
A38 B31 B32 B33 B34 B35 C1 C3 C4 C6 C7 C8 |
45 |
65 |
110 |
Objective test |
A38 B31 B32 B33 B34 B35 C1 C3 C4 C6 C7 C8 |
6 |
0 |
6 |
|
Personalized attention |
|
4 |
0 |
4 |
|
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. |
Methodologies |
Methodologies |
Description |
Guest lecture / keynote speech |
Oral and graphic presentation in the classroom supplemented by the optional use of audiovisual media and ICT as well as the introduction of questions to students in order to transmit knowledge and facilitate learning. |
Problem solving |
Students will face situation where they will solve a particular problem with multiple solutions using the knowledge we have worked in the lecture. Within this dynamic, interactive personalized attention will take place.
|
Objective test |
Graphic test for the assessment of learning, whose distinctive feature is the ability to determine whether the answers are correct or not. It is a measuring element that allows to assess knowledge, abilities, skills, performance, attitudes, intelligence, etc. It is applicable for both diagnostic, formative and summative evaluation. |
Personalized attention |
Methodologies
|
Problem solving |
|
Description |
The needs and questions of the students related to the study or similar topics with the course will be adressed, while giving them orientation, support and motivation throughout the learning process. |
|
Assessment |
Methodologies
|
Competencies / Results |
Description
|
Qualification
|
Objective test |
A38 B31 B32 B33 B34 B35 C1 C3 C4 C6 C7 C8 |
Objective tests will be carried out during the course on the contents of the different Representation Systems. These tests will have characteristics similar to the exercises developed in the interactive classes and will serve to articulate a continuous evaluation process.s applicable for both diagnostic, formative and summative evaluation. |
100 |
|
Assessment comments |
Attendance at both expository classes (THEORY) and interactive classes (PRACTICE) is considered mandatory, so students must meet minimum attendance requirements to be able to take the objective tests. This minimum attendance will be 80%. The objective scoring tests will be scored on 10 points each. The overall final grade of these tests will be obtained by adding the scores of each of them and dividing this sum by the number of tests carried out. In order for this average to be made, a minimum score of 4 points must be obtained in the test that includes all the contents of the corresponding system. In order to pass the course, it will be compulsory to take ALL the objective tests. The schedule and content of the objective tests will be communicated to the students at the beginning of the teaching activities. In addition to the assistance, participation and performance of supervised works, the tests deemed necessary may be carried out in order to adequately assess the degree of assimilation of the conceptual and procedural contents of the subject. The student who achieves a global average grade of 5 points or higher in the sum of the objective scoring tests developed during the course will pass the subject. Students who do not reach the minimum global grade of 5 points must sit the official Final Exam of the subject to be held at the end of the 2nd semester (First Chance) according to the official calendar approved by the School Board. Those approved will be saved in the objective scoring tests carried out during the annual teaching period but by complete systems (DIÉDRICO, BOXED, AXONOMETRY, PERSPECTIVE). This condition is considered linked to the corresponding academic year and therefore these passes will be kept for the First Chance (May / June) and Second Chance (July) but exclusively during the current course and this reservation will not be maintained for subsequent courses. Nor will the partial passes approved by the system that could be produced in the final exam corresponding to the First Opportunity (MAY / JUNE) be saved for the Second Chance. IMPORTANT NOTE. In order for the student to have a passing grade in the final exams, they must obtain an overall average grade of 5 points or higher in the sum of the proposed exercises, but it will be mandatory to score in all the exercises corresponding to the different Representation Systems. A grade of 0 in any of them would give rise to a failure grade in the subject. Implications of plagiarism: Fraudulent performance of the tests or evaluation activities, once verified, will directly imply the failing grade "0" in the subject in the corresponding call, thus invalidating any grade obtained in all the evaluation activities with a view to extraordinary call.
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Sources of information |
Basic
|
FERRER MUÑOZ (1996). Axonometrías. Sistema de representación axonométrico. Paraninfo
GIMÉNEZ PERIS, Vicente (2007). Diédrico Directo. Tomo I. Teoría y 190 ejercicios de aplicación. Edición del autor
GIMÉNEZ PERIS, Vicente (2014). Diédrico Directo. Tomo II. Superficies, Intersecciones, CAD, Sombras. Edición del autor
IZQUIERDO ASENSI, Fernando (). Ejercicios de Geometría Descriptiva Tomo II. Sistema Acotado y Axonométrico. F. Izquierdo
IZQUIERDO ASENSI, Fernando (). Ejercicios de Geometría descriptiva. Tomo IV. Sistema Cónico.
FERNÁNDEZ SAN ELÍAS, Gaspar (1999). Fundamentos del Sistema Diédrico. Universidad de León
IZQUIERDO ASENSI, Fernando (Varias ediciones). Geometría Descriptiva.
FRANCO TABOADA, José Antonio (2011). Geometría Descriptiva para la representación arquitectónica. Vol. 1. Fundamentos. Santiago de Compostela: Andavira Editora
FRANCO TABOADA, José Antonio (2011). Geometría Descriptiva para la representación arquitectónica. Vol. 2. Geometría de la forma. Santiago de Compostela: Andavira Editora
TAIBO FERNÁNDEZ, Ángel (2010). Geometría Descriptiva y sus aplicaciones. Tomo I. Punto, Recta y Plano. Tébar
TAIBO FERNÁNDEZ, Ángel (2007). Geometría descriptiva y sus aplicaciones. Tomo II. Curvas y Superficies. Tébar
BARDÉS FAURA, Lluis; GIMÉNEZ RIBERA, José Manuel (2001). Geometría Descriptiva. Plans acotats i perspectives. Exercicis. Edicións UPC
BARDÉS FAURA, Lluis; GIMÉNEZ RIBERA, José Manuel (1999). Geometría Descriptiva. Sistema Dièdric. Exercicis. Edicións UPC
MARTÍN MOREJÓN, Luís (1978-80). Geometría Descriptiva. Sistema Diédrico (2 vol). Sevilla
SÁNCHEZ GALLEGO, Juan Antonio (1997). Geometría Descriptiva. Sistemas de Proyección Cilíndrica. Edicións UPC
PALANCAR PENELLA (1985). Geometría descriptiva. Sistemas de representación axonométrica. Caballera. Planos Acotados. Madrid: M. Palancar
RODRÍGUEZ DE ABAJO, F. J. (Varias ediciones). Geometría Descriptiva. Tomo I. Sistema Diédrico. Donostiarra
RODRÍGUEZ DE ABAJO, F. J. (Varias ediciones). Geometría Descriptiva. Tomo II. Sistema de Planos Acotados. Donostiarra
RODRIGUEZ DE ABAJO (). Geometría Descriptiva. Tomo III: Sistema de Perspectiva Caballera..
RODRÍGUEZ DE ABAJO (). Geometría Descriptiva. Tomo IV: Sistema Axonométrico..
RODRÍGUEZ DE ABAJO (). Geometría Descriptiva. Tomo V. Sistema Cónico..
COBOS GUTIERREZ, Carlos (2001). Geometría para Ingenieros. Tomo I: Representación Diédrica. Tébar
RENDÓN GÓMEZ, Álvaro (2001). Geometría paso a paso. Geometría Proyectiva y Sistemas de Representación. Vol. I. (1ª parte). Madrid: Editorial Tébar
GENTIL BALDRICH, José María (1998). Método y aplicación de representación acotada y del terreno. Bellisco
VILLANUEVA BARTRINA (2001). Perspectiva lineal. Su relación con la fotografía. Edicións UPC
BARTOLOMÉ RAMÍREZ (2011). Perspectiva: fundamentos y aplicaciones. Universidad de La Rioja. Servivio de publicaciones
FERNÁNDEZ SAN ELÍAS, Gaspar (2004). Sistema Acotado. Problemas y Aplicaciones. Asociación de Investigación Instituto Automática y Fabricación |
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Complementary
|
IZQUIERDO ASENSI, F. (2002). Construcciones Geométricas.
ÁLVAREZ BENGOA; RODRÍGUEZ DE ABAJO (). Curso de Dibujo Geométrico y Croquización.
IZQUIERDO ASENSI, F. (2005). Fórmulas y Propiedades Geométricas.
IZQUIERDO ASENSI, F. (Varias ediciones). Geometría Descriptiva Superior y Aplicada.
RENDÓN GÓMEZ, Álvaro (2016). Geometría paso a paso. Vol. I. Elementos de Geometría Métrica y sus aplicaciones en Arte, Ingeniería y Construcción. Editorial Tébar Flores |
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Recommendations |
Subjects that it is recommended to have taken before |
|
Subjects that are recommended to be taken simultaneously |
Digital Graphic Tools for Building/670G01109 | Architectural Graphic Expression I/670G01103 |
|
Subjects that continue the syllabus |
Architectural Graphic Expression II/670G01117 | Topography and Setting out/670G01119 |
|
Other comments |
By addressing the basics of graphical representation, it is recommended to study the subject of Descriptive Geometry prior or simultaneous to other subjects in the area of Architectural Graphic Expression. PrerequisitesIt is recommended to have studied the subject of Technical Drawing in high school or equivalent training as it is considered that the student must be accustomed to using conventional instruments of graphical representation. They also should know the most basic aspects of the different systems of representation, especially Diedric System and basic planar geometry layouts (angles, polygons, conic sections, elementary trigonometry, etc.). |
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