Universitat Politècnica de Catalunya · BarcelonaTech

Representation Techniques (2500018) – Course 2025/26 PDF

Syllabus

Learning Objectives

Knowledge of descriptive geometry II. The polyhedral figures, the surfaces and the dihedral intersections from the basic fundamentals of graphic expression. Representation systems and graphic design through specific programs of civil engineering. 1 Ability to solve complex geometry problems. 2 Ability to use computer-aided design programs in complex geometry problems. 3 Development capacity of multiview orthographic projections of complex geometry problems. Complex traditional graphical representation knowledge (descriptive geometry) and applications of computer-aided design with engineering software. Knowledge of numerical geometry including the use of computer tools. Carrying out constructions in flat metric geometry. Application to stake out, renders and visualization in 3 dimensions. Knowledge of the dihedral system including homology, affinity, depressions, shadows, polyhedra, radiated surfaces, of revolution and ruled surfaces. BIM Laboratory. Basic concepts and use of the BIM software, application to the project of geometric surfaces proper to the descriptive geometry used in engineering and architecture 1.- Development of the capacity for abstraction from the representation of geometric surfaces, whether ruled (developable, warped) or curved. 2.- To give solution to the problems of the geometry of the space by means of operations carried out on a plane. 3.- Accurately represent geometric shapes and surfaces in 3D in space on two-dimensional projection planes. 4.- Be able to deduce and transfer to the three dimensions the exact description of these surfaces in 2D through the dihedral representation system and everything that necessarily follows from their shapes and their relative positions with respect to the projection planes 5. - To be able to represent on the plane the exact projections of bodies in space (geometric surfaces, whether ruled or curved), using the three basic projection planes of the dihedral system, thereby appreciating the universality of the descriptive geometry in transmission and understanding of all project documentation. 6.- Development of the student's spatial capacity through a process of spatial maturity, which allows him to reconstruct in the mind or materially the forms and surfaces given by his representations (dihedral projections), to put his creative faculty at the service of the future civil engineer. where geometry and spatial capacity play a vital role in the design of civil technical projects. In this way, the knowledge of the matter in its development and spatial maturity will give the engineer a double aspect: on the one hand, to become familiar with the management and representation of the treated geometric surfaces whose proper use may have the character of a civil project, and by another part that will provide the technique that will allow him to correctly represent the forms created by himself, so that they can be correctly interpreted from his representation by those who have to be in charge of their actual construction and materialization of the project.

Competencies

Especific

Capacity for spatial vision and knowledge of graphic representation techniques, both by traditional methods of metric geometry and descriptive geometry, as well as by computer-aided design applications. (Basic training module)

Basic knowledge about the use and programming of computers, operating systems, databases and computer programs with engineering application. (Basic training module)

Total hours of student work

Hours Percentage
Supervised Learning Large group 30h 50.00 %
Medium group 18h 30.00 %
Laboratory classes 12h 20.00 %
Self Study 90h

Teaching Methodology

The course consists of 2 weekly hours of theoretical classes in large groups (3 groups), practical sessions of 1.2 weekly hours in medium-sized groups (6 groups), and 0.8 weekly hours in small groups (9 groups). Two hours per week are allocated to theoretical classes in large groups, where the teaching staff presents the fundamental concepts and materials of the subject, provides examples, and works through exercises. The sessions in medium-sized groups (1.2 hours per week) are dedicated to problem-solving, with increased interaction with students. In these sessions, practical exercises are carried out to consolidate both general and specific learning objectives. The remaining weekly time (0.8 hours) is devoted to laboratory practice. Supporting material is provided through a detailed teaching plan available on the ATENEA virtual campus. This includes content, scheduling of assessment and directed learning activities, and recommended bibliography. The language of instruction in each group will be approximately as follows: English group: 100% in English Group 10: 100% in Spanish Group 20: 100% in Spanish Although most sessions will be conducted in the specified language, we may occasionally count on guest experts or teaching staff who deliver sessions in another language.

Grading Rules

The evaluation calendar and grading rules will be approved before the start of the course.

The grade for the subject is obtained from the continuous assessment grades and the corresponding laboratory and/or computer classroom grades. Continuous assessment consists of different activities, both individual and group, of an additive and formative nature, carried out during the course (inside and outside the classroom). The assessment tests consist of a part with questions on concepts associated with the learning objectives of the subject in terms of knowledge or understanding, and a set of application exercises. Grading Method The final grade of the course (FinalCourseGrade) is composed of the following elements: 1. Practical Work (NPR) – 30% Includes: 15 individual practical exercises (NPRp) 5 classroom practical exercises (NPRec) Exercises from the Geometric Surfaces Laboratory – LSG (Revit) Calculation: NPR = 0.1 × NPRp + 0.1 × NPRec + 0.1 × NPR(LSG) 2. Continuous Assessment (NE) – 70% Includes: Midterm exam 1 (NPEC1) Midterm exam 2 (NPEC2) Calculation: NE = 0.25 × NPEC1 + 0.45 × NPEC2 Exercise Evaluation Criteria In both practical exercises and continuous assessment exams, the correction of each exercise will follow the criteria below: - 80% of the score will be based on the correct approach, rigorous development, and graphical justification of each step taken to solve the exercise. - 20% of the score will be based on the accuracy of the final result and the graphical quality of the representation (clarity, neatness, and visual precision). This evaluation approach aims to value the student’s reasoning process and geometric understanding, in addition to the final outcome. 3. Final Course Grade (FinalCourseGrade): FinalCourseGrade = NPR + NE 4. Additional Bonus (up to +10%) The teaching staff may add up to 10% bonus to the final course grade (FinalCourseGrade) if the student meets all the following criteria: - A Continuous Assessment grade (NE) equal to or greater than 6.0 - Attendance to more than 85% of the sessions - A proactive attitude and active engagement in the course, demonstrated by: Consistent participation in lectures and practical sessions Timely and high-quality submissions Active involvement in the Geometric Surfaces Laboratory (LSG) Important Note: This bonus will not be applied in cases of plagiarism, copying between students, or any behavior that violates academic integrity. The bonus will be awarded at the discretion of the teaching staff based on the student’s overall commitment, attitude, and ethical conduct throughout the course. PRACTICES: Students will have a collection of 20 exercises on the Dihedral System and geometric constructions, divided into two groups: personal practices (15) and classroom practices (5). From this collection, students will have to hand in all the exercises conveniently solved. The deliveries will be made on a date to be determined by the teacher. The average of the 15 personal practicals, the 5 classroom practicals and the LSG practicals will result in the final practical grade (NPR). Punctuality in handing in the course practicals is important: - A delay in delivery of 24h - 7 days will not be penalised. - A delay between one week and two weeks will be penalised by 50%. - A delay of more than two weeks will not be accepted for evaluation. The practical will have a weight of 30% in the final grade of the course, so it is recommended its completion and the utmost care, as well as class attendance. CONTINUOUS ASSESSMENT Continuous assessment consists of different individual activities, of an additive and formative nature, carried out during the course (inside the classroom). The continuous assessment consists of two parts: the continuous assessment practices and the continuous assessment exams. During the course, and on the days stipulated by the lecturer responsible for the subject, 5 continuous assessment practices will be carried out, the average of which will result in the NPec grade. Their weight in the final grade of the course is 10%. There will be two partial exams of continuous assessment, whose contents will correspond to the material taught in class up to the date of each one of them. The total weight of these exams on the final grade is 70%. The Final Examination, (for students who have not passed the course), will correspond to all the material taught throughout the course. Grading criteria and admission to re-evaluation: Students failed in the ordinary assessment who have regularly sat the assessment tests of the failed subject, will have the option to take a re-evaluation test in the period set in the centre's academic calendar.

Test Rules

If any of the continuous assessment activities are not carried out in the scheduled period, it will be considered as a zero score.

Office Hours

Monday: 8-10 a.m. and 12-2 p.m. Thursday: 10 a.m.-12 p.m. and 16-18 p.m.

Bibliography

Basic