Civil Engineering Department · 2013. 5. 17. · Civil Engineering Department 1st Cycle in Civil...

C iv i l Eng ineer i ng Depar tment

1st Cycle in Civil Engineering

Study Program

Access Requirements:Access Requirements:Access Requirements:Access Requirements:

Entrance exams: (07) Física e Química e (16) Matemática

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Secretariat of Civil Engineering: �(+351) 289 800 154

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http://www.ualg.pt/home/pt/curso/1451

1st Semester 2nd Semester

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ANÁLISE MATEMÁTICA DESENHO TÉCNICO

ÁLGEBRA LINEAR E GEOMETRIA ANALÍTICA INFORMÁTICA

FÍSICA APLICADA À ENGENHARIA CIVIL GEOLOGIA DE ENGENHARIA I

TOPOGRAFIA ANÁLISE MATEMÁTICA APLICADA

PROBABILIDADES E ESTATÍSTICA

OFICINAS E PREPARAÇÃO DE OBRAS QUÍMICA

DESENHO DE CONSTRUÇÃO ASSISTIDO POR COMPUTADOR MATERIAIS DE CONSTRUÇÃO

ESTÁTICA RESISTÊNCIA DOS MATERIAIS I

GEOLOGIA DE ENGENHARIA II ECONOMIA E GESTÃO

CÁLCULO DE COMPUTAÇÃO

HIDRÁULICA GERAL ANÁLISE DE ESTRUTURAS I

MECÂNICA DOS SOLOS EDIFICAÇÕES

RESISTÊNCIA DOS MATERIAIS II ESTALEIROS E SEGURANÇA

TECNOLOGIA DE EDIFÍCIOS HIDRÁULICA APLICADA

TECNOLOGIA DO BETÃO

ANÁLISE DE ESTRUTURAS II BETÃO ARMADO II

BETÃO ARMADO I CONSTRUÇÃO E PROCESSOS

ESTRADAS E ARRUAMENTOS FUNDAÇÕES E CONTENÇÕES

GESTÃO DE OBRAS PLANEAMENTO REGIONAL E URBANO

HIDRÁULICA URBANA

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2nd Y

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3rd Y

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(1) Lectures (T); Seminars/Problem-solving classes (TP); Practical and laboratorial classes (PL); Fieldwork (TC); Workshops (S); Tutorials (OT); Students Individual Work (TA).

UNIVERSIDADE DO ALGARVE – INSTITUTO SUPERIOR DE ENGENHARIA

1ST CYCLE IN CIVIL ENGINEERING

SCHOOL YEAR 2012/2013

Course : Análise Matemática (Mathematical Analysis)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Matemática Aplicada Teaching Language(s): Portuguese Head Teacher: Paula Ribeiro ([email protected]) Course Teachers: Celeste Gameiro ([email protected]) Paula Ribeiro ([email protected]) Year Semester Lecture Hours (1) Type CU Code ECTS 1st 1st 2 T + 2 TP + 0,5 OT Mandatory 1451C1000 5

Workload (hours): 140 Classes: 30 T + 30 TP Tutorials: 7,5 OT Field work: 0 Individual Work and Assessment: 72,5 TA

Objectives It is intended to consolidate students' knowledge on sequences, differential calculus of functions of a real variable and to introduce the concepts of integral calculus and series, key issues for the various disciplines of the course plan as well as for the exercise of the professional engineering.

Recommended Previous Knowledge The contents demand a previous preparation of 12 years in mathematics in the pre-university studies level.

Contents I - Functions of real variable. 1. Real Numbers. 1.1 Natural numbers, integers, rational and real numbers. 1.2 Elementary properties of real numbers. Axiomatic of real numbers. 1.3 Intervals. Bounded sets. Maximum, minimum, supremum and infimum of a set. 2. Topological concepts in R. 2.1- Absolute value, distance, neighbourhood. 2.2 - Interior, exterior, boundary and closure of a set. Topological closure. 2.3 - Open sets and closed sets. Compact sets. 3. Functions of real variable. 3.1- Definition and Properties. 3.2- Elementary functions. 3.3- Composition of functions. Inverse functions. Implicit function. 3.4- Limits and continuity of functions. 3.5- Weierstrass`s theorem and Bolzano´s theorem. 3.6- Differentiation. 3.6.1 - Derivative of a function. Geometric interpretation. 3.6.2 - Differentiation rules. 3.6.3 - Derivative of a composition function, and the inverse function. 3.6.4 - Derivative of functions defined implicitly and parametrically. 3.6.5- Cauchy`s rule. 3.7- Curve sketching. 3.8 - Differentials. Finite differences.

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II - Antiderivative and Integral Calculus in R 1. Antiderivative. 1.1- Definition of an antiderivative function. 1.2- Antiderivative formulas. 1.3- Methods to calculate an indefinite integral: decomposition, integration by parts and change of variables 1.4- Methods to calculate indefinite integral of rational functions. 2. Integral Calculus in R. 2.1 - Darboux sums. Properties. The definite integral of a continuous function. 2.2 - Conditions for integrability. 2.3 - Properties of integrals. 2.4 - Barrow`s rule. 2.5 - Integration by parts and change of variables in definite integrals. 2.6 - Improper integrals. 2.7- Applications of integral. 2.7.1- Area of a region. 2.7.2 - Lengths of lines. 2.7.3 - Volumes of solids of revolution. III - Series 1 - Sequences of real numbers. 1.1- Sequence definition. Arithmetic and geometric progressions. 1.2- Sum of terms of a sequence. 2 - Numerical series. 2.1- Numerical series of positive terms. Arithmetic, geometric and Mengoli series. 2.2- Convergence of a series. Criteria’s of convergence. 2.3- Alternating series. Absolute convergence. 2.4- Approximate calculation of the sum of a series. 2.5- Series terms of any signs. 3 - Function series 3.1-Series of functions. Domain of convergence of the series. Continuity of the sum of a series of functions. Integration and derivation of series of functions. 3.2- . Differentiation and integration of power series. 3.2.1-Taylor and MacLaurin series. 3.2.2-Development of elementary functions in Taylor series and MacLaurin. 3.2.3- Application to calculation of definite integrals.

Teaching and Learning Methods Lectures: Is done a detailed exposition of the various themes of the syllabus with analysis of examples. The slides presented in these lessons will be provided to students. Problem-solving classes: Will be solved exercises on the topics already covered in lecture. Students will also be challenged to solve problems that may or may not have direct application in their field of study, under the guidance of teachers, which will encourage discussion of the used methodologies and on the results achieved. Tutorials: a homework is proposed to students that should be held during the week and delivered at the following tutorial. The homework is discussed in these classes and the solution is achieved.

Assessment 1) During the academic activities Periodic component: three tests, one for chapter. To the calculus of the final grade, only the i tests (with i = 1, 2, 3) whose NP_i classification has been equal or greater than 8 values (scale 0 to 20) are considered. Continuous component: evaluation of homework delivered or done in tutorial classes. This component is optional and is graded by N_OT, in a 0 to 20 scale.

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2) Exam: normal examination or examination of appeal. The exam consists of three parts, each of which corresponding to a chapter. The student will perform the complete exam or only the i parts of the exam (i = 1, 2 or 3) in which obtained a NP_i score below 8 values. The final grade, which we denote by NF, is given by: NF = max { NF_C, NF_P } where NF_P = (NP_1 + NP_2+ NP_3) / 3 NF_C = 0,9 NF_P + 0,1 N_OT with NP_ i = Classification of part i, with i = 1, 2, 3 and NP_i > or = to 8 values N_OT = Classification of Tutorials. The student has approval in the course if the final grade NF is equal or greater than 10 values. Otherwise is reproved.

Relevant Bibliography [1] - Cálculo Vol. I e II, James Stewart, Pioneira. [2] - Elementos de Cálculo Diferencial e Integral em e , Acilina Azenha e Jerónimo, McGraw-Hill. [3] - Introdução à Análise Matemática, Ferreira, J. Campos, Fundação Calouste Gulbenkian. [4] - Princípios de Análise Matemática Aplicada, Jaime Carvalho e Silva, McGraw-Hill. [5] - Análise Matemática Aplicada, Jaime Carvalho e Silva e Carlos M. Franco Leal, McGraw-Hill. [6] - Matemática - Cálculo Diferencial em R, M. Olga Baptista, edições Sílabo. [7] - Matemática - Primitivas e Integrais, Manuel Ferreira e Isabel Amaral, edições Sílabo. [8] - Cálculo Vol. I, Larson, Hostetler e Edwards, McGraw-Hill. [9] - Matemática – Equações Diferenciais e Séries, M. Olga Baptista e M. Anabela Silva, edições Sílabo. [10] – Gameiro, Celeste, Apontamentos das aulas teóricas, 2009. [11] – Ribeiro, Conceição, Apontamentos das aulas teórico/práticas, 2009.

Information to mobility students Lessons are taught in Portuguese. Students should have the required course background. If student has the agreement of the course Head Teacher, the “written” assessments may be held in English or Spanish. In the University Library is available several bibliographies in English or other languages. The international student’s assessment is similar to regular students.

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Course : Álgebra Linear e Geometria Analítica (Linear Algebra and Analytical Geometry)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Matemática Aplicada Teaching Language(s): Portuguese Head Teacher: Carlos Sousa ([email protected]) Course Teachers: Carlos Sousa ([email protected]) Nelson Pires ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 1st 1st 2 T + 2 TP + 1 OT Mandatory 1451C1001 5

Workload (hours): 140 Classes: 30 T + 30 TP Tutorials: 15 OT Individual Work and Assessment: 65 TA

Objectives This course, as any elementary course of mathematics, has two types of objectives: formative and informative. Given the informative nature of the course it is intended that students master the concepts and techniques that are developed throughout the program and acquire the ability to use them when necessary. From the standpoint of training, after finishing the course students should have increased the ability of deductive reasoning and abstract and disciplined approach of the issues that are proposed.

Recommended Previous Knowledge Mathematics of Basic and Secondary Education.

Contents 1. Matrices. Definition; particular matrices; matrix operations and properties; inverse of a matrix; row echelon matrix; reduced row echelon matrix; elementary operations on rows of a matrix; Gaussian elimination method; the characteristic matrix. 2. Systems of Linear Equations. Definition of linear equation and system of linear equations; matrix form of a system of linear equations; solving systems by the methods of Gauss and Gauss-Jordan; degree of indeterminacy of a system; general solution of indeterminate systems; homogeneous systems; discussion and classification of a system, calculating the inverse of a matrix by Gauss-Jordan method. 3. Determinants. Permutations; elementary products; definition of determinant of a square matrix; determinants of order 1, 2 and 3; determinants of matrices of special type; properties of determinants; the effects of elementary operations in determinant value; calculating the determinant by elimination method; calculation the determinant by the Laplace theorem; inverse of a matrix using determinants. 4. Eigenvalues and eigenvectors of matrices Definition; evaluation of the eigenvalues of a matrix; evaluation of the eigenvectors of a matrix; geometric and algebraic multiplicity; eigenspaces; eigenvalues and invertibility; matrix diagonalization; applications. 5. Real vector spaces. Definition and examples; linear combination; linear dependence and independence; vector subspaces; linear span and generators; bases and dimension of a finite dimensional vector space; coordinates of a vector in a base; use of matrix techniques in the study of vector spaces.

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6. Analytical Geometry. Euclidean inner product of vector;, Euclidean norm of a vector; angle of two vectors; orthogonality; cosine directors of a vector; orthogonal projection, cross product and its properties; mixed product and its properties. Points, lines and planes in Euclidean space: analytical representation; relative positions; angles and distances.

Teaching and Learning Methods In lectures we combine the expository and demonstrative methods with the interrogative and participative method as a way to encourage students to become more active agents of their learning. Classes are supported, whenever appropriate, in computer readable form, which includes the use of appropriate software to the topics addressed. The theoretical-practical lessons rely on worksheets prepared in accordance with the following objectives: i. consolidation and internalization of theoretical concepts; ii. application of theoretical knowledge in practice; iii. acquisition of techniques for solving problems involving the concepts defined theoretically; iv. developing the skills of deductive reasoning. Thus, the exercises are of diverse nature, combining theoretical application questions with practical questions. Questions are either presented in an open or semi-open form or are multiple choice questions, according to the objectives of each one. In theoretical-practical classes and tutorials both collaborative and independent work are used. There will be a constant interaction between teacher and students, always with the aim of encouraging and helping each student to establish his personal method of learning.

Assessment The assessment will be made in the final exam. Students may be exempted by prior assessment. Two partial tests will be carried out: These tests have weights 50%. Each test includes, approximately, the matter of three chapters. To exempt the final exam, students must perform the two tests and obtain an average rating greater than or equal to 9,5 (with minimum score of 8 in the two tests). To obtain a final grade greater than or equal to 17 marks, both in frequency and in the final exam, students may be required to carry out further proof. After the final and the appeal exams there will be an additional proof for students who have obtained ratings between 8 and 9,4 or any student who, for some particular reason, it is considered desirable or necessary to accomplish it. Students may also request the preparation of this proof if they wish to improve the exam grade.

Relevant Bibliography − Texto de apoio disponibilizado, ao longo do curso, na Tutoria Eletrónica. − Folhas de exercícios disponibilizadas, ao longo do curso, na Tutoria Eletrónica. − Elementary Linear Algebra, Howard Anton, John Wiley & Sons, 1991. − Introdução à Álgebra Linear, Ana Paula Santana e João Filipe Queiró, Gradiva, 2010 − Introduction to Linear Algebra, Gilbert Strang, Wellesley-Cambridge Press, 2005. − Matrix Analysis and Applied Linear Algebra, Carl D. Meyer, SIAM, 2000. − Linear Algebra and its Applications, David C. Lay, Pearson, 4th edition.


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Course : Física Aplicada à Engenharia Civil (Applied Physics for Civil Engineering)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Dimensionamento de Estruturas Teaching Language(s): Portuguese Head Teacher: David Alexandre de Brito Pereira ([email protected]) Course Teachers: David Alexandre de Brito Pereira ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 1st 1st 2 T + 2 TP + 1 OT Mandatory 1451C1002 5

Workload (hours): 140 Classes: 30 T + 30 TP Tutorials: 15 OT Field work: 0 Individual Work and Assessment: 65 TA

Objectives The unit aims to learning and understanding of the fundamental principles of mechanical physics approach related to Civil Engineering, through the introduction of theoretical concepts and practical methods with the resolution of problems.

Recommended Previous Knowledge The students need a basic understanding of physics and mathematics, which should result in formation of their secondary education.

Contents 1. Units, physical quantities and vectors: physical quantities, units systems, introduction to dimensional analysis, similarity theory, vector calculus. 2. Statics of particles in the plane: Forces acting on a particle; Resulting systems competing forces; Decomposition of a force, Equilibrium of a particle, a free-body diagram. 3. Rigid bodies and equivalent systems of forces: Rigid bodies. Notion of external forces, Principle of transmissibility; equivalent Forces, Moment of a force about a point; Varignon Theorem, Moment of a force about an axis, a torque moment; Binary equivalent; Replacement of a force acting on a point by a force acting at another point and torque; Reduction of a system of forces to a force and torque, equivalent systems of forces. 4. Newton's laws of motion, elasticity and oscillations: The three laws of motion Newton, Force and interactions; Simple Harmonic Motion. 5. Fluid Mechanics: fluid properties, pressure, hydrostatic pressure distribution, communicating vessels, hydraulic press, atmospheric pressure, Archimedes' Principle. 6. Centers of gravity, moments and static study of distributed forces: General formulation for determining the center of gravity of homogeneous bodies, surfaces and lines; Moments static lines and flat surfaces, Theorem of Pappus-Guldinus, distributed forces, moments and static centers of gravity of simple lines and flat surfaces, static moments and centers of gravity lines and flat surfaces composed. 7. Inertia surfaces: Moments of inertia surfaces (Definition and properties, moments of inertia of plane surfaces elementary theorem or Steiner axes parallel, radius of gyration, moment of inertia of planar surfaces composed) products of inertia surfaces (Definition and property, product of inertia of plane surfaces elementary extension theorem or Steiner's parallel axis, products of inertia of composite flat surfaces) general equations for transposition of axes of inertia of the flat surfaces; Determination of the principal axes of inertia, moment maximum inertia and minimum moment of inertia, Mohr's Circle. Teaching and Learning Methods Lectures, expository in nature, using OHP presentations, and examples on the board. Theoretical and practical classes where the teacher complements the teaching, solving exercises associated with raw

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exposed. Tutoring classes, where students answer questions about the proposed exercises.

Assessment The assessment system is by frequência or/and exame ( on the terms of ISE´s Regulation of Assessment), and proceeds as follows: 1. Continuous Assessment: Continuous assessment will be done by performing two tests (frequências): 1st test (CF1) includes the materials of Chapters 1 to 5, 2nd test (CF2) includes the materials of Chapters 6 and 7. The minimum grade of each, rounded to the unit, should be equal to or above eight (8) values. The student's final grade is obtained from the average of two tests performed.

CF = 0,5 × (CF1 + CF2) The student is approved in continuous assessment is the final classification, rounded to the unit, equals or exceeds ten (10) values. 2. Assessment Examination: Examination will be held at Normal Examination Period, the student getting approved is rounded to the note is equal to or above 10. If a student obtains a grade lower than eight (8) values, in any of the tests (frequências), you can repeat at the Normal Examination Period, only the part corresponding to that test (frequência). The final grade in the course will be given by:

CF or CF = CE = 0,5 × (CTi + CEJ) Where: CF final classification, classification of EC examination; CTi test (frequência) equal to or above eight (8) values; CEJ classification of part of the exam corresponding to the test (frequência) with a score less than eight (8) values. The Exam Appeal season includes all the chapters (1 to 7). The student is approved the classification of the examination, rounded to the nearest unit, equals or exceeds ten (10) values. In any examination of Season Special, which includes the entire matter (chapters 1 to 7), the student is approved the classification of the examination, rounded to the nearest unit, equals or exceeds ten (10) values. 3. Oral defense of ratings equal to or greater than sixteen (16) values: Students in the final classification (CF) is equal to or greater than sixteen (16) values, obtained in any of the types of evaluation, it is necessary to defend the statement by performing an oral exam before a jury of at least two teachers. The no-show at this time of assessment, means staying with the final fifteen (15) values. For logistical reasons and it is required pre-registration of students in the written tests with 2 days in advance.

Relevant Bibliography - Acetatos das aulas teóricas e sebenta de exercícios propostos para as aulas teórico-práticas. - Almeida, G. "SISTEMA INTERNACIONAL DE UNIDADES (SI). GRANDEZAS E UNIDADES (SI)". Plátano Editora. - Beer, F.; Johnston, E. "MECÂNICA VECTORIAL PARA ENGENHEIROS - ESTÁTICA". McGraw-Hill. - Deus, J.; Pimenta, M.; Noronha, A.; Penã, T. (2000). "INTRODUÇÃO À FÍSICA". McGraw-Hill. - Giancoli, Douglas C.; (1998). "PHYSICS". Prentice Hall. - Gispert, C. ."FÍSICA E QUIMICA". Enciclopédia Audio Visual Educativa. - Indias, M. (1992). "CURSO DE FÍSICA". McGraw-Hill. - Merian, J. (1985). "ESTÁTICA". Livros Técnicos e Científicos Editora. - Noronha, A; Brogueira, P. (1994). "EXERCICIOS DE FÍSICA". McGraw-Hill. - Resnik, R.; Halliday, D. (1984). "FÍSICA". Livros Técnicos e Científicos Editora S.A. - Serway, R. (1982). "PHYSICS FOR SCIENTISTS & ENGINEERS WITH MODERN PHYSICS" - Young, H.; Freedman, R. (1996). "UNIVERSITY PHYSICS". Addison-Wesley Publishing Company Inc.


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Course : Topografia (Surveying)

Department : Civil Engineering Department Study Program : 1st Cycle in Civil Engineering Scientific Area : Engenharia Geográfica Teaching Language(s) : Portuguese Head Teacher: Helena Maria N. P. V. Fernandez Martins ([email protected]) Course Teachers: Helena Maria N. P. V. Fernandez Martins ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 1st 1st 1,5 T + 2,5 P + 1 OT Mandatory 1451C1015 5

Workload (hours): 140 Classes: 30 T + 30 TP Tutorials: 15 OT Field work: 0 Individual Work and Assessment : 65 TA

Objectives Familiarization with the main methods and instruments used in the topography, which concern the life of a civil engineer.

Recommended Previous Knowledge Knowledge of trigonometry and geometry.

Contents Definition and utility of the topography. Some basic concepts. Levelling. National geodetic network. Coordinates. Polygonal. Classic Survey. Global Positioning System.

Teaching and Learning Methods Theoretical Lectures of 1,5 hours using PowerPoint presentations and / or acetates, and examples on the board; Practical Lectures of 2,5 hours, with fieldwork; Tutoring classes of 1 hour, with problem solving and executing practical work.

Assessment The assessment system has two components: a theoretical component is by frequência or exame (on the terms of ISE´s Regulation of Assessment), and assessment of the practical component, which corresponds to the weighted average of five practical work, including the oral defence of the same. The practical works are: calculating the area of the catchment, calculating the volume of landfill and excavation, geometric levelling, classical surveying, and stakeout. The classification minimum of each component is 10 values The final classification will be: N = 50% x (theoretical) + 50% x (practical). The reproving in one of this components, go invalidate the approval of the course unit. For logistical reasons it is required pre-registration of students in the written tests with 2 days in advance the assessment of theoretical.

Relevant B ibliography - Teacher notes and theoretical lessons slides - Fernandez, Helena M. N. P. V. – Livro de texto de Topografia , Faro, 2007. - Charneca, Vitor M. M. - Topografia . Sebenta da disciplina, Faro, 1995. - Xerez, A. C. - Topografia Geral . AEIST, Lisboa, 1966. - Alves, J. A.; Cruz, J. J. S. ; Norte, C. G. - Manual de Topografia . PF, Lisboa, 1988.

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- Casaca, João; Matos, João; Baio, Miguel – Topografia geral . Lidel, Lisboa, 2005. - Cruz, J. J. S; Redweik, Paula, M. – Manual do Engenheiro Topógrafo Vol I e II . Pedro Ferreira, Lisboa, 2003.


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Course : Desenho Técnico (Technical Drawing)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Ordenamento do Território, Arquitetura e Transportes Teaching Language(s): Portuguese Head Teacher: Paulo Charneca ([email protected]) Course Teachers: Arménio Lopes ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 1st 2nd 2 T + 3 P + 1 OT Mandatory 1451C1003 5


Objectives Development of capacities of visualization and representation of elements in three dimensional space. Empower the relationship between drawings and project activities and execution of engineering works. Understanding the rules of technical drawing applied to civil engineering. Recommended Previous Knowledge

Contents Basic principles in two-dimensional representation of three-dimensional entities (systems of projections). Technical design engineering and architecture (orthogonal). Geometry Method (Monge). Applicable regulations.

Teaching and Learning Methods The methodology focuses on Learning by Example paradigm, supported by the development of practical exercises covering the various aspects of the program (drawing by hand raised and using drawing board), applying the knowledge acquired in lectures.

Assessment The assessment system is by “frequêcia” and “exame” (on the terms of ISE´s Regulation of Assessment) for the theoretical component of the assessment and ongoing evaluation for its practical component, and proceeds as follows: a) The practical assessment corresponds to exercises to be done in practical classes, according to own statements. b) A theory test will be carried out during term time, obtaining the approval (por frequência) if the weighted average grade with a practical assessment is equal to or higher than 9,5. c) The student can get approval (por exame), if the Regular Season or tests of Appeal if the weighted average grade with the practical assessment is equal to or higher than 9,5. d) Weights: by “frequência”: NFF = 0,6 * NP + 0,4 NTT by “exame”: NFex = 0,6 * NP + 0,4 * NTT e) Minimum grades for approval: NP = 9,5 and NT = 8,0

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Relevant Bibliography

- CUNHA, L.V. – 1982 – “Desenho Técnico” – Fundação Calouste Gulbenkian. - SILVA, ARLINDO E OUTROS - 2004 - “Desenho Técnico Moderno”, LIDEL - Edições técnicas, lda. - RICCA, Guilherme, 1982 – “Geometria Descritiva – Método de Monge” – Fundação Calouste Gulbenkian. - NEUFER, Prof. Ernest - Arte de projectar em Arquitectura, Edições Gustavo Gili. - DE SOUSA, PEDRO FIALHO – “TPU 13 - Desenho” Edição Ministério da Educação, - Secretaria do Ensino Superior. - DE SOUSA, PEDRO FIALHO – “TPU 39 – Desenho/Geometria Descritiva” Edição Ministério da Educação, Secretaria do Ensino Superior. - GILL, ROBERT W. – Desenho de perspectiva, Editorial Presença.


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Course : Informática (Informatics)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Informática e Otimização Computacional Teaching Language(s): Portuguese Head Teacher: Pedro Miguel Mendes Guerreiro ([email protected]) Course Teachers: Pedro Miguel Mendes Guerreiro ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 1st 2nd 3,5 TP + 0,5 OT Mandatory 1451C1004 5

Workload (hours): 140 Classes: 52,5 TP Tutorials: 7,5 OT Field work: 0 Individual Work and Assessment: 80 TA

Objectives Computer Sciences have an important role in the context of science and technology, both in the usage of specific applications that helps the professional in their activity, as well as exercising the skills of analysis and reasoning to solve problems. Given this foreword, this course has the following basic objectives:

• Learn to use computer applications in a useful way, from a technical perspective; • Develop techniques to deal with (academic) problems, planning methodologies for their

resolution and construct their computational representation, in order for the results to be validated through a critical study.

Recommended Previous Knowledge

Contents 1. Spreadsheet 1.1. Advanced calculus 1.2. Pre-defined functions 1.3. Graphics 1.4. Data Management 2. Programming using a Mathematical Application (symbolic and algebraic) 2.1. Data type and mathematical objects 2.2. Fundamental structures of programming 2.2.1. Decisions 2.2.2. Cycles 2.3. Functions 2.4. Input/Output operations 2.5. Algebraic and iterative computing

Teaching and Learning Methods In the problem-solving classes will be explained some of the major commands and functions of each application, after which several practical exercises will be solved. There will also be given several problems that the students must solve outside the classroom and that will be discussed in the tutorials classes.

Assessment The assessment will be conducted through two evaluations with different weights in the final grade: the first weights 60% (12 values) and the second 40% (8 values). In both there is a minimum required grade (3 values in the first evaluation, 2 values in the second), and the student is approved and exempted from the final exam, if the scores of the evaluations are higher than the minimum required grade and the final score is at least 10 values. The final exam will also be conducted in two parts with the same rules as the evaluations.

All assessments will be performed on the computer, without consultation and are subject to prior registration, which will end at least 48 hours prior to the assessment.

Relevant Bibliography • Lindfield, G.; Penny, J. (1995) “Numerical Methods Using Matlab”, Ellis Horwood, ISBN

0130309664 • Hanselman, D.; Littlefield, B. (1997) “The Student Edition of Matlab”, Prentice-Hall, ISBN

0132725509 • Knuth, D. (1997) “The Art of Computer Programming”, 3º Edition, Addison-Wesley Publishing

Company, ISBN 0201896834 • Gomez, Claude, et al (1999) “Engineering and Scientific computing with Scilab”, Editora

Birkhäuser, ISBN 0817640096 • Curto, J. J. D. (2001) “Excel para Economia e Gestão”, 3ª Edição, Edições Sílabo, ISBN

9726182611 • Urroz, Gilberto (2001) “Numerical and Statistical Methods with Scilab for Science and

Engineering, Vol. 1”, Edições greatunpublished.com, ISBN 1588983048 • Bloch, S. C. (2003) “Excel for Engineers and Scientists”, 2º Edition, John Wiley & Sons, ISBN

0471256862 • Almeida, P. (2005) “Excel Avançado”, Edições Sílabo, ISBN 9726183553 • Lopes, I. C.; Pinto, M. O. (2006) “O Guia Prático do OpenOffice.org 2”, Editora Centro

Atlântico, ISBN 9896150338


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Course : Geologia de Engenharia I (Engineering Geology I)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Geotecnia Teaching Language(s): Portuguese Head Teacher: Jorge Luís Silva ([email protected]) Course Teachers: Jorge Luís Silva ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 1st 2nd 2 T + 1,5 TP + 1 OT Mandatory 1451C1005 5

Workload (hours): 140 Classes: 30 T + 22,5 TP Tutorials: 15 OT Field work: 0 Individual Work and Assessment: 72,5 TA

Objectives The unit aims to inform the internal and external dynamics of the Earth, according to a perspective of the Civil Engineer and in view of the geological understanding of the mechanisms that may affect construction. The reading and interpretation of geological and geotechnical cuts are also included.


Contents Internal dynamics of the earth; external dynamics of the Earth; Rocks and Minerals; Geological.

Teaching and Learning Methods Theoretical classes of concepts on the internal and external dynamics of the earth. Theoretical and practical resolution to the courts and the recognition of geological rocks and minerals. Orientation classes with tutorial support for the resolution of issues raised by the students.

Assessment The system of assessment and examination is by frequency (under Regulation Assessment ISE), and proceeds as follows:

a) be made an assessment test, obtaining approval for the classification rate is equal to more than 9,5. Theoretical weight of 0,75, 0,25 weight practicing.

b) The student can get approved for examination, if the Regular Season or tests of Appeal, the grade is obtained is equal to or greater than 9,5;

c) The final grades in excess of 15 values must be defended in oral examination, otherwise the final grade will be awarded 15 marks.

For logistical reasons, it requires prior registration of students for the tests written frequency, Regular Season Exam and Review Period of Appeal.

Relevant Bibliography Sebenta – vários A Terra. Nova Geologia Global – Peter Whillie

Information to mobility students Lessons are taught in Portuguese. Students should have the required course background. If student has the agreement of the course Head Teacher, the “written” assessments may be held in English or

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Spanish. In the University Library is available several bibliographies in English or other languages. The international student’s assessment is similar to regular students.

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Course : Análise Matemática Aplicada (Applied Mathematical Analysis)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Matemática Aplicada Teaching Language(s): Portuguese Head Teacher: Conceição Ribeiro ( [email protected]) Course Teachers: Celeste Gameiro ( [email protected]) Conceição Ribeiro ([email protected]) Paula Ribeiro ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 1st 2nd 2 T + 2 TP + 0,5 OT Mandatory 1451C1006 5

Workload (hours): 140 Classes: 30 T + 30 TP Tutorials: 7,5 OT Field work: 0 Individual Work and Assessment: 72,5 TA

Objectives The student will be trained with the necessary mathematical background to the theoretical understanding for the study of subjects to be taught scientific areas of the graduation. It should also be knowledgeable of current applications of the subjects taught, in real cases of Civil Engineering. Recommended Previous Knowledge Análise Matemática (Mathematical Analysis).

Contents I- Differential Equations 1. Introduction to Differential Equations 1.1 – Order and degree of a differential equation. 1.2 – Solutions of Differential equations. Initial conditions. 2. Ordinary Differential Equations. 2.1. First order Differential Equations. 2.1.1. Separable Differential Equations. 2.1.2. Homogeneous Differential Equations. 2.1.3. Linear Differential Equations. 2.1.4. Bernoulli Differential Equations. 2.1.5. Exact Differential Equations. 2.1.6. Application of First Order Differential Equations to Orthogonal Trajectories. 2.2. Higher order Differential Equations. 2.2.1. First Order Reducible Differential equations. 2.2.2. Second Order Homogeneous Linear Equations with constant coefficients; Definitions general properties and resolution. 2.23. Differential Equations Applications to several Civil Engineering scientific areas, namely Structures and Hydraulics. II. Functions of several real variables 1. Introduction. 1.1. Brief topological notions in ℝn. 1.2. Definition, domains. 1.3. Continuity and limits.

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2. Differential calculus. 2.2. Partial derivatives, differentiability. 2.3. Partial derivatives of composite functions. 2.4. Higher order partial derivatives, Schwarz's theorem. 2.5. Hessian matrix. Extremes of functions of two variables. 2.6. Gradient. Geometric interpretation. applications III. Multiple integrals 1. Analytic Geometry in ℝ 3. 1.1. Straight and flat. 1.2. Surfaces of revolution. 1.3. Quadrics. 2. Double integrals 2.1. Definition and properties. 2.2. Double Integrals Calculus. Fubini's theorem. 2.3. Mean Value Theorem. 2.4. Double Integrals Applications. 3. Triple integrals 3.1. Definition and properties. 3.2. Triple Integrals Calculus. 3.3. Triple Integrals Applications. 3.4. Changing variables. Cylindrical and spherical coordinates. 4. Multiple integrals Applications to Statics and Strength Materials.

Teaching and Learning Methods Lectures: Is done a detailed exposition of the various themes of the syllabus with analysis of examples. The slides presented in these lessons will be provided to students. Problem-solving classes: Will be solved exercises on the topics already covered in lecture. Students will also be challenged to solve problems that may or may not have direct application in their field of study, under the guidance of teachers, which will encourage discussion of the used methodologies and on the results achieved. Tutorials: a homework is proposed to students that should be held during the week and delivered at the following tutorial. The homework is discussed in these classes and the solution is achieved.

Assessment 1) During the academic activities Periodic component: three tests, one for chapter. To the calculus of the final grade, only the i tests (with i = 1, 2, 3) whose NP_i classification has been equal or greater than 8 values (scale 0 to 20) are considered. Continuous component: evaluation of homework delivered or done in tutorial classes. This component is optional and is graded by N_OT, in a 0 to 20 scale.

2) Exam: normal examination or examination of appeal. The exam consists of three parts, each of which corresponding to a chapter. The student will perform the complete exam or only the i parts of the exam (i = 1, 2 or 3) in which obtained a NP_i score below 8 values. The final grade, which we denote by NF, is given by: NF = max { NF_C, NF_P } where

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NF_P = (NP_1 + NP_2+ NP_3) / 3 NF_C = 0,9 NF_P + 0,1 N_OT with NP_ i = Classification of part i, with i = 1, 2, 3 and NP_i > or = to 8 values N_OT = Classification of Tutorials. The student has approval in the course if the final grade NF is equal or greater than 10 values. Otherwise is reproved.

Relevant Bibliography Apostol, T., Calculus, Wiley, 1967. Azenha, Acilina e Jerónimo, M. Amélia Elementos de Cálculo Diferencial e Integral em e , McGraw-Hill, 1995 . Breda, A. e da Costa, J. Cálculo com funções de várias variáveis, McGraw-Hill, 1996. Campos Ferreira, Jaime Introdução à Análise Matemática, Fundação Calouste Gulbenkian, 1985. Demidovitch, B. Problemas e Exercícios de Análise Matemática, Editora Mir, 1987. Ferreira, Manuel e Amaral, Isabel Integrais Múltiplos e Equações Diferenciais, Sílabo, 1994. Frank, Ayres EDs, McGraw-Hill, 1994. Coelho, C. and Mackaaij, M. Apontamentos, 2012. Piskounov, N, Cálculo Diferencial e Integral Vol. II, Lopes da Silva Editora, 2002.


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Course : Probabilidades e Estatística (Probability and Statistics)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Matemática Aplicada Teaching Language(s): Portuguese Head Teacher: Conceição Ribeiro ([email protected]) Course Teachers: Conceição Ribeiro ([email protected]) Nelson Pires ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 1st 2nd 1,5 T + 2 TP + 0,5 OT Mandatory 1451C1007 5

Workload (hours): 140 Classes: 22,5 T + 30 TP Tutorials: 7,5 OT Field work: 0 Individual Work and Assessment: 80 TA

Objectives This course is intended mainly to the allocation of competence in understanding and use of the methods used in probability theory and statistics, in its assumptions and data types that are applicable and in their proper use in different situations in order to solve problems and support decision-making. It is also intended that students should be able to build mathematical models linking various random variables measuring the quality of the models and transmit its conclusions clearly to either statistician or non statistician.

Recommended Previous Knowledge 12th year of secondary education

Contents Descriptive Statistics: Analysis and data summarization. Descriptive measures. Frequency tables and graphs. Elements of Probability: Random experiments. Sample space. Events. Definitions of probability. Axiomatic and theorems. Conditional probability. Theorems of compound probability and total probability. Bayes' theorem. Independent events. Discrete random variables: probability mass function. Distribution function. Expected value, variance. Discrete distributions. Continuous random variables: probability density function. Distribution function. Expected value, variance. Continuous distributions. Point estimation Interval estimation, confidence intervals for the ratio, for the mean with known / unknown variance and for the, variance. Hypotesis Tests: for the proportion, for the mean with known / unknown variance, for the variance, in normal populations. Linear regression.

Teaching and Learning Methods Lectures (1.5 h): Theoretical Lectures expositive using PowerPoint presentations and / or acetates, and examples on the board. Theoretical and Practical (2 hours): Resolution of exercises accompanied by the synthesis of the contents. Tutorial (0.5 h): Delivery, resolution and correction of Tutorial work carried out by students.

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Assessment Period of Lectures: Two partial tests with individual rating greater than or equal to 8 values Tutorial works -TOT Examination Season: Two exams (EEN-Exam Regular Season and EER- Recursive Season) The final grade is the highest of the following: 1) Final grade = 90% Ni +10% (NTOT) NTOT note-TOT 2) Final grade = Ni, i = 1.2 N1 = arithmetic mean of the two partial tests N2 = EER note or EEN note The student has success in the course if the final grade is greater than or equal to 10. Students with a final grade above 18 values will have to perform an oral exam. The partial tests are scheduled during classes. Relevant Bibliography Discipline Notes. Ribeiro, C., Pires, N. e Sousa, C. (2012). Apontamentos de Probabilidade e Estatística. ISE, DEC, UALG. Guimarães, R. e Cabral, J. (1997). Estatística. McGrawHill. Hoaglin, D., Mosteller, F. e Tukey, J. (1983). Análise Exploratória de Dados. Técnicas Robustas. Salamandra. Montgomery, D. e Runger, G. (2002). Applied Statistics and Probability for Engineers. John Wiley and Sons. Murteira, B. (1990). Probabilidades e Estatística, Vol. I e II, (2ª edição revista). McGraw-Hill. Murteira, B. (1993). Análise Exploratória de Dados – Estatística Descritiva. MacGrawHill. Murteira, B. e Black, G. (1983). Estatística Descritiva. McGraw-Hill. Pestana, D. e Velosa, S. (2010). Introdução à Probabilidade e à Estatística, Vol. I. Fundação Calouste Gulbenkian. Reis, E. (2009). Estatística Descritiva. Sílabo. Reis, E, Melo, P., Andrade, R. e Calapez, T. (1996). Estatística Aplicada, Vol I e II. Sílabo. Apontamentos da unidade curricular. Guimarães, R. e Cabral, J. (1997). Estatística. McGrawHill. Hoaglin, D., Mosteller, F. e Tukey, J. (1983). Análise Exploratória de Dados. Técnicas Robustas. Salamandra. Montgomery, D. e Runger, G. (2002). Applied Statistics and Probability for Engineers. John Wiley and Sons. Murteira, B. (1990). Probabilidades e Estatística, Vol. I e II, (2ª edição revista). McGraw-Hill. Murteira, B. (1993). Análise Exploratória de Dados – Estatística Descritiva. MacGrawHill. Murteira, B. e Black, G. (1983). Estatística Descritiva. McGraw-Hill. Pestana, D. e Velosa, S. (2010). Introdução à Probabilidade e à Estatística, Vol. I. Fundação Calouste Gulbenkian. Reis, E. (2009). Estatística Descritiva. Sílabo. Reis, E, Melo, P., Andrade, R. e Calapez, T. (1996). Estatística Aplicada, Vol I e II. Sílabo.


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Course : Oficinas e Preparação de Obras (Preparation of Construction Works)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Construções Teaching Language(s): Portuguese Head Teacher: António Eusébio ([email protected]) Course Teachers: António Eusébio ([email protected]) Pedro Cabrita ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 2nd 1st 1 T + 3 P + 1 OT Mandatory 1451C1008 5

Workload (hours): 140 Classes: 15 T + 45 P Tutorials: 15 OT Field work: 0 Individual Work and Assessment: 65 TA

Objectives Inform students of the main socio-economic activities of civil engineering. Provide students with direct contact with construction materials and construction equipments. Introduce students to the techniques used in civil engineering constructions.

Recommended Previous Knowledge Desenho Técnico (Technical Drawing) e Materiais de Construção (Constructions Materials).

Contents Theoretical Classes 1 - Measurements of Building Construction 1.1 - Rules of Measurement, Units of Measure 1.2 - Preparatory Works. Land Movement. Structural Elements. Masonry. Insulation and Waterproofing. Installations of buildings. 2 – Construction materials and Execution Criteria 2.1 - Materials of carpentry, wood and its derivatives; 2.2 - Types of formwork of structural elements; 2.3 – Reinforcement of structural elements: Distance and minimum cover, maximum curvature, anchorage of bars. Constructive arrangements of structural elements - beams and columns. Structural elements striking. 2.4 - Materials constituents of mortar and concrete; 2.5 - Constitution of resistant walls and masonry walls. 2.6 - Thermal insulation and its application; 2.7 - Coatings of buildings. 3 – Construction equipment 3.1 - heavy equipment and tools. 4 - Construction quality 4.1 - Organization of the construction process; 4.2 - Levels of Quality Control; 4.3 - Quality Management. 4.4 - Construction insurance. Practical Classes 1 - Measurement of building projects 2 – Carpentry machinery and carpentry tool

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2.1 - Brief presentation of carpentry equipment. 3 - Reinforcement 3.1 - Materials and equipment to reinforcement execution. 4 - Implementation of constructions works 4.1 - Implementation and description of works for marking constructions.

Teaching and Learning Methods Theoretical lessons: exposition of the theoretical contents, using PowerPoint presentations and/or acetates, and examples on the board. Practical lessons: the teacher complements the teaching, solving some exercises and students proceed to the measurement of a proposed building construction. Tutorial orientation lessons: students solve exercises under the guidance of the teacher and where some works are proposed to solve individual or group students.

Assessment The assessment is composed by a theoretical and a practical component. The theoretical component has a weighting of 50% of the final assessment, and will be carried out by performing a frequency and / or Exam. The practical component has a weighting of 50% of the final assessment. It is mandatory to carry out a work about subjects taught, with discussion and / or presentation. The minimum score in each evaluation component is 9,5 values.

Relevant Bibliography [1] FONSECA, M. SANTOS; Regras de Medições na Construção, LNEC, Lisboa; 2007. [2] BRANCO, PAZ; Manual do Pedreiro, LNEC. [3] CORREIA, M. SANTOS; Manual Técnico do Carpinteiro e do Marceneiro, Editora Portuguesa de

Livros Técnicos, Lisboa 1986. [4] LNEC, A Madeira como Material de Cofragem; Lisboa; 1972. [5] CONTENTE, ADATOS; Análise Geral dos Sistemas de Cofragens para Edifícios. [6] GRINÁN JOSÉ, Manual Prático de Cofragens; Edições CETOP. [7] LNEC, Sistemas de Cofragens; Equipamento Especial; Lisboa; 1972. [8] CUNHA, L.V.; Desenho Técnico, Fundação Calouste Gulbenkian. [9] ALMEIDA, J. M. T. , LNEC; Paredes de Edifícios; Lisboa. [10] LNEC, Características das Paredes Exteriores; Ministério da Habitação e Obras Públicas; Lisboa;

1973. [11] SEABRA, A.V.; Materiais e sua Apreciação, Memória Nº 652, LNEC, Lisboa 1985. [12] FERRY, J.; Garantia de Qualidade na Construção, LNEC. [13] Apontamentos e Diapositivos das aulas teóricas; Faro 2011.


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Course : Desenho de Construção Assistido por Computador (CAD applied to constructions)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Ordenamento do Território, Arquitetura e Transportes Teaching Language(s): Portuguese Head Teacher: Paulo Charneca ([email protected]) Course Teachers: Paulo Charneca ([email protected]) Arménio Lopes ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 2nd 1st 1,5 T + 3 TP + 1 OT Mandatory 1451C1009 5

Workload (hours): 140 Classes: 22,5 T + 45 TP Tutorials: 15 OT Field work: 0 Individual Work and Assessment: 57,5 TA

Objectives Familiarization with the current systems of representation in civil construction. Awareness of the potential of CAD in developing projects. Systematization of elements in the presentation of projects drawn from different specialties. Programming principles in the creation of configurable elements.


Contents 1 - The graphic representation as a means of communication in the project. 2 - Traditional modes of representation. 3 - Historical development of CAD. 4 - Commercially available systems and hardware required. 5 - Advantages and disadvantages of these systems and growth prospects. 6 - Exploring the AutoCAD 2004 system: a) - physical medium; b) - Drawing tools and editing; c) - Creation and manipulation of blocks; d) - Three-dimensional view; e) - Dimensioning and subtitling; f) - Management of drawn elements; g) - Communication with other systems; h) - Presentation of projects. 7 - Principles and techniques of programming in Lisp, applied to creation of parameterized drawings.

Teaching and Learning Methods The methodology focuses on Learning by Example paradigm, which is supported by the development of practical work covering the various aspects of the program (design and programming routines), a fact that adds an eminently practical side to the course.

Assessment The assessment system is by frequência e exame, complemented with a practical work for assessment (project), and proceeds as follows: a) The project will be done in practical classes, according to own statement.

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b) Two tests will be conducted throughout the class period, one theoretical and one practical, obtaining the approval (by frequência) if the weighted average grade to the project is equal to or higher than 9.5. c) The student can get approval (by Exame), in the Regular Season or tests of Appeal if the weighted average grade to the project is equal to or higher than 9.5. d) Weights: By frequência: NFf = 0.2 PROJECT + 0.6 * FP + 0.2 * FT By exame: NFex = 0.2 PROJECT + 0.6 * EXP + 0.2 * EXT

Relevant Bibliography - Bases dos desenhos a realizar nas aulas práticas. - Programas de referência em Lisp. - AAVV, “Autocad R2004 – Aulas Práticas”, ISE-UAlg - AUTODESK, “Release 2004 – Custumization Guide”, Autodesk. - AUTODESK, “Release 2004 – Reference Guide”, Autodesk.


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Course : Estática (Statics)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Dimensionamento de Estruturas Teaching Language(s): Portuguese Head Teacher: Ana Carreira ([email protected]) Course Teachers: Ana Carreira ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 2nd 1st 2 T + 2 TP + 1 OT Mandatory 1451C1011 5


Objectives Educate and develop students' ability to solve problems of structural isostatic equilibrium, through the introduction of theoretical concepts and practical methodologies for current applications in civil engineering

Recommended Previous Knowledge Física Aplicada à Engenharia Civil (Applied Physics for Civil Engineering).

Contents 1. Introduction

1.1. Structures: structural Models; type of loads; supports and internal releases. 2. Equilibrium structures in plane and space

2.1. Reduction of a force system to force and binary. Equivalent systems of forces. 2.2. Resultant of a force system and its point of application. 2.3. Support reactions and free-body diagrams.

3. Articulate structures in plane 3.1. Interior, exterior and global classification of articulated structures. 3.2. Internal forces in bi-articulated frames: node equilibrium method; section equilibrium method.

4. Frame structures in plane and space 4.1. Interior, exterior and global classification of frame structures. 4.2. Internal forces in linear frames: axial, shear, bending moment and torsional moment 4.3. Equations of internal forces and diagrams of internal forces in frames.

5. Equilibrium of cables 5.1. Equilibrium configuration; cable length; tension at any point of the cable.

Teaching and Learning Methods Theoretical lessons: exposition of the theoretical concepts using PowerPoint presentations and acetates. Practical lessons: presentation of solved exercises. Tutorial orientation lessons: autonomous resolution of proposed exercises under the orientation of the professor.

Assessment Continuous assessment Continuous assessment will be carried out by performing two tests during the class period. The

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student's final grade is obtained by averaging the two tests, whose minimum individual required classification is 7,5 values, resulting in the approval success, if their average rate is equal to or higher than 9,5 values. Final examination assessment There will be a final exam of the course during the Normal Examination Period, the student will be approved if the obtained rating is equal to or higher than 9.5 values. Students already approved, may also attend to the final exam, taking advantage the highest note. In addition to these examinations, two additional examinations are also done: Appeal examination period and Special examination period during the months of September and October. Students with ratings above value 16, will need to defended that rate performing an oral exam.

Relevant Bibliography [1] Carreira, Ana – “folhas da disciplina: Acetatos das aulas teóricas; Coletânea de exercícios propostos; coletânea de testes e exames; coletânea de problemas das aulas práticas”, 2012. [2] Beer, Ferdinand P.; E. Russell Johnston Jr.- ” Mecânica Vectorial para Engenheiros – Estática “ 7.ª edição, Ed. McGraw-Hill, Rio de Janeiro 2006 [3] Meriam James L.; “ Estática “; LTC – Livros Técnicos e Científicos, Ed. S. A; Rio de Janeiro,1985. [4] Adhemar da Fonseca; “ Curso de Mecânica “, Vol. I e II; LTC – Livros Técnicos e Científicos, Ed. S. A; Rio de Janeiro.


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Course : Geologia de Engenharia II (Engineering Geology II)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Geotecnia Teaching Language(s): Portuguese Head Teacher: Jorge Luís Silva ([email protected]) Course Teachers: Jorge Luís Silva ([email protected]) Elisa Silva ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 2nd 1st 1 T + 1 TP + 1 PL + 1 OT Mandatory 1451C1012 5

Workload (hours): 140 Classes: 15 T + 15 TP + 15 PL Tutorials: 15 OT Field work: 0 Individual Work and Assessment: 80 TA

Objectives 1) Part concerning the identification and classification of soils It is intended that students be able to identify soils in terms of Civil Engineering, and indicate some mechanical and hydraulic properties of the same. Calculate the indicators of a physical relationship between soil and them. Classify the soils with a view to their application in engineering works, particularly in works land (landfills), highways and railways and current foundations. Prepare the soil for testing geotechnical laboratory and perform the same, including size analysis by sieving and sedimentation, which allow the track full-size distribution curves of soils, as well as determination of liquid limit and plasticity, and also the density of solid particles constitute the very ground. 2) Part concerning the classification of rock masses and Prospecting

The Engineering Geology in the service of Civil Engineer. Methods and techniques of geological prospecting geotechnical recognition of the conditions of the founding of various structures.


Contents Methods of prospecting. Prospecting equipment. Laboratory tests for soil classification. Fitness levels and their relationship.

Teaching and Learning Methods Theoretical classes on physical indices and their interrelationship, drilling and geotechnical methods of recognition. Practical and theoretical-practical on these topics and laboratory practice. Orientation classes with tutorial support for the resolution of issues raised by the students.

Assessment i) Preparation of a report (RL) on laboratory tests performed and a written test on the laboratory component (TL), both compulsory. The note of the report should be greater than or equal to 8 values (RL values ≥ 8,0), otherwise rejects. The whole of this part discipline is called the practical component (P), and this is calculated according to expression P = (0,5xRL) + (0,5xTL). Overall the student must be at least 9,5 to considered that the practice is performed. If not achieve this value, then the student disapprove the course. ii) Note that a student who does not attend the laboratory component of this written evaluation (TL), indicating appropriately by the teachers, you can perform it at the time of the examination of

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Regular Season or season of Appeal. iii) A written test (frequency), with all the subjects taught and known as (T). Who has not the written test conducted on the laboratory component (TL) phase during classes, or has failed, no access to this time of evaluation. iv) In Regular Season Final exam and final exam at a Time of Appeal, with coverage of all subjects taught. Those who have failed previous tests can access these two moments of evaluation. v) Condition of approval in the discipline: P values ≥ 9,5 and T values ≥ 9,5. vi) Final grade: 0,70 T + 0,30 P

vii) The laboratory works are compulsory, and made the attendance register, ie the control of student absences. These classes are scheduled at least 2 weeks advance, and students informed of the dates. Those who do not attend classes only two laboratory, and not make the report or written evaluation of this part, disapproves the discipline.

viii) Who is performing for the first time the practical component, and want to improve the grade of written evaluation laboratory can only do so in the examination of Regular Season, and may no longer to the Examination Appeal season, so as not to violate the provisions of Regulation Evaluation of the Institution.

Relevant Bibliography - Al-Khafaji e Andersland: “Geotechnical Engineering and Soil Testing”, Saunders. - Cambefort, H.: “Forages et Sondages”, Eyrolles. - Geologia de Engenharia II – Identificação e Classificação de Solos + Problemas, Secção de Folhas, EST. - Geologia de Engenharia II – Elementos de apoio às aulas laboratoriais: Especificações e Normas, Secção de Folhas, EST. - Mclean and Gribble: “Geology for Civil Engineers”. - Mineiro, A.: “Mecânica dos Solos e Fundações I”, Vol. 3, IST. - Silvério, C.: “Tecnologia e Fundações”.


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Course : Cálculo e Computação (Computer Science)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Informática e Optimização Computacional Teaching Language(s): Portuguese Head Teacher: Mário Carlos Machado Jesus ([email protected]) Course Teachers: Mário Carlos Machado Jesus ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 2nd 1st 1 T + 1,5 TP + 1 OT Mandatory 1451C1017 5


Objectives It is a fundamental objective of this course to initiate students in modeling and in computational representation of different kind of problems. The increasing importance of those areas in the technology and in engineering, largely supported by the advances registered in the computational area, justify this concern. This curriculum presents two modules that are crucial in order to reach that goal. They are: scientific computing and graph theory. They will be taught, both, using a computational approach. The concepts introduced and the examples used are specially selected to allow an easy adaptation to the subject and to encourage students to explore new situations, exercising their skills of analysis, synthesis and abstraction. At the same time the students has the opportunity to acquire and / or strength their knowledge and the need to overcome the challenges that are presented through some specific exercises.


Contents Introduction to the scientific computing: numerical representation, introduction to the theory of errors, polynomial interpolation, solving nonlinear equations, introduction to numerical uni and multidimensional optimization. Introduction to graph theory: some basic insights and definitions, plane graphs, trees, Eulerian and Hamiltonian circuits, computational representations of graphs, some structural and operational problems on graphs.

Teaching and Learning Methods Lectures are based on the principle of the "Learning by Example", adapted to each type of the planned classes. The curriculum of this course is presented in an high practical way, thus transforming the practical lectures in intense sessions dedicated to problem solving in an environment of computational and mathematical programming.

Assessment The approval in the discipline is achieved by obtaining a final grade (NF) of ten (10), or more. Duly enrolled students may succeed by one of the following ways: Normal assessment According to the curricula, evaluation is also separable into two modules and there is a moment of assessment for each designated by Part 1 (worth 60% of the final with a minimum score of 3 values)

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and Part 2 (worth 40% of rating final (8 points) with a minimum grade of two values), respectively. Calculation of the final results of the direct sum of each party. Special Assessment Moments of evaluation under this framework are contained in a proof-theoretical practice only, held on a computer.

Relevant Bibliography “Análise Numérica”, Valença M., Universidade Aberta (sebenta). “Numerical Analysis”, Turner P., Macmillan Press (ISBN 0333586654). “Introduction to Numerical Analysis”, Stoer J., Burlish R., Springer-Verlag (ISBN 038797878X). “Graphs and Applications: An Introduction Approach”, Aldous J., Wilson R., Springer-Verlag (ISBN 185233259X). “Graphs and Algorithms”, Gondran M., Minoux M., John Wiley & Sons, (ISBN 0471103748). “Scientific Computing: An Introduction Survey”, Michael Heath, http://www.cse.uiuc.edu/heath/scicomp/author/index.html http://www.scilab.org (sítio oficial da aplicação Scilab)


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Course : Química (Chemistry)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Construções Teaching Language(s): Portuguese Head Teacher: Manuela Moreira da Silva ([email protected]) Course Teachers: Manuela Moreira da Silva ([email protected]) Rita Paquete ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 2nd 2nd 2 T + 1,5 TP + 1 OT Mandatory 1451C1010 5


Objectives Students should learn the concepts of chemistry, fundamental for the exercise of their profession, with an integrated vision for sustainable development. Chemical reactions are relevant to understanding of environmental phenomena and how they affect and /or influence the behavior and strength of construction materials. The understanding of the phenomena involved in corrosion is essential for the selection and maintenance of building materials.

Recommended Previous Knowledge Basic knowledge of chemistry.

Contents 1 - Atoms, Molecules and Ions 1.1 - Historical aspects. Theory of Dalton. 1.2 - Structure of the atom. Subatomic particles. 1.3 - Mass of atoms and molecules. Atomic and mass number. Atomic and molecular mass. Mole and molar mass. 1.4 - Empirical, molecular structure and stereo chemical formulas. 1.5 - Monatomic and polyatomic ions. 1.6 - Experimental determination of atomic and molecular masses. Mass spectrometry. 2 – Electronic Structure of Atoms and Periodic Table 2.1 - Bohr Theory. Postulates. Spectrum of hydrogen and its interpretation. 2.2 - Quantum theory. Quantum numbers and atomic orbital’s. Filling of orbital’s, electronic configuration. 2.3 – Electronic configuration and periodic table. 2.4 - Variation of properties (I1, E, X, atomic radius and ionic radius) along the periodic table. 3 - Chemical Bonding 3.1 - Ionic Bonding 3.1.1 - Lewis notation. 3.1.2 - Energy involved in the formation of an ion pair. 3.1.3 - Energy and binding energy of the crystal net. 3.1.4 – Born-Haber Cycle. 3.1.5 - Relationship between bond length, binding energy and other properties such as ET and FT. 3.2 - Covalent bond

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3.2.1 - Electronic pair: shared and not shared. 3.2.2 – Covalent bond: non polar, polar and dative. 3.2.3 - Dipole moment. 3.2.4 - Bond length and energy (enthalpy) connection. 3.2.5 - The octet rule. Lewis structures of polielectronic molecules. 3.2.6 - Polarity of molecules. 3.3 - Intermolecular Forces 3.3.1 - Van der Waals forces. 3.3.2 - Connection (bridge) hydrogen. 3.3.3 - Predicted properties (ET, FT, viscosity and surface tension) from the intermolecular forces. 3.4 - Water as a particular and relevant case in Civil Engineering. 4 – Solutions and its properties 4.1 - Types of solutions. 4.2 - Solutions of gases in liquids. 4.3 - Solutions of liquids in liquids. 4.4 - Solutions of solids in liquids. Solvation. Influence of temperature, fractional crystallization. 4.5 - Measuring the concentration of solutions: Molarity. Molality. Mole fraction. 5 - Chemical Equilibrium 5.1 - Reaction slow, fast, complete and incomplete. 5.2 - Chemical Systems opened, closed and isolated. 5.3 - Equilibrium constant and reaction quotient. 5.4 - Calculation of equilibrium concentrations. 5.5 - Factors affecting the chemical balance. Le Chatelier's Principle. 6 - Acids and Bases 6.1 – Definitions. Bronsted acids and bases. Conjugate acid-base pairs. 6.2 - Strength of acids and bases. Acidity constant (Ka). Basicity constant (Kb). Ionic product of water (Kw). Molecular structure and strength of acids 6.3 – pH. Definition and pH scale. Calculation of pH in solutions of acids / bases / salts 7 – Chemistry to Civil Engineering 7.1 – Electrochemistry. Redox reactions. 7.2 - Influence of environmental conditions on the resistance of building materials. 7.3 - Corrosion. Principles and ways of combating corrosion. 7.4 - Polymers, chemical composition and properties.

Teaching and Learning Methods Theoretical Lectures expositive using PowerPoint presentations and / or acetates, and examples on the board. Practical Lectures where the teacher complements the theoretical teaching, solving some exercises and encouraging students to solve another. Tutoring classes where students solve exercises under the guidance of the teacher and where some works are proposed to solve individually or in grouping.

Assessment The assessment system is by frequency tests or exams ( on the terms of ISE´s Regulation of Assessment), and proceeds as follows: a) two tests will be conducted throughout the class period, whose minimum individual required classification is 7,5 values, resulting in the approval success ( by frequency), if the average rate is equal or higher than 9,5. b) The student can get approval by exam in normal examination period, or in appeal examination period if the note is equal or higher than 9,5. c) The student approved t by frequency can be present in the normal period d) To note values above 17 will be required an oral exam. In written tests or exams consultation is not allowed.

Relevant Bibliography Chang, R., 2005. Química. McGraw Hill de Portugal Lda. Lisboa. Atkins, P.W., 1989. General Chemistry. Sc. American Books, N.Y.

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Bueno, W. et al., 1978. Química Geral. McGraw Hill S. Paulo.


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Course : Materiais de Construção (Construction Materials)

Department: Civil Engineering Department Study Program: 1st Cycle in Civil Engineering Scientific Area: Construções Teaching Language(s): Portuguese Head Teacher: Marta Gonçalves ([email protected]) Course Teachers: Marta Gonçalves ([email protected]) Elson Almeida ([email protected])

Year Semester Lecture Hours (1) Type CU Code ECTS 2nd 2nd 2 T + 1 TP + 1,5 P + 0,5 OT Mandatory 1451C1013 5

Workload (hours): 140 Classes: 30 T + 15 TP + 22,5 P Tutorials: 7,5 OT Field work: 0 Individual Work and Assessment: 65 TA

Objectives Familiarization with the materials, their characteristics and function in the work: mechanical, thermal, acoustic, tightness and fire resistance. In general, mention should be made for the various materials: specifications, approval documents and terms of reference, testing laboratory quality control, and application technologies, structural and nonstructural function.

Recommended Previous Knowledge Estática (Statics).

Contents 1. Introduction. Main properties of bodies. Mechanical stress. 2. Hydraulic and aerial bonding materials. 2.1. Gypsum. 2.2. Lime. 2.3. Cements. 3. Metals. 3.1. Ferrous metals: steel. 3.2. Non-Ferrous Metals: aluminum. 4. Wood and its derivatives. 4.1. Woods. 4.2. Derivatives from the wood: boards and cork.

Teaching and Learning Methods Theoretical lectures, expository in nature, using PowerPoint presentations, audio-visual materials, examples on the board and seminars given by professionals in the areas of program content. Theoretic-practical classes where the

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