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Polytechnic Institute of Coimbra (P COIMBRA 02)
Coimbra Institute of Engineering - ISEC
Civil Engineering Department
ECTS CATALOGUE
The main language of instruction at Coimbra Institute of Engineering is Portuguese. However, some
courses from degree and master degree can be offered in English and/or with a tutorial support in
English.
The ECTS catalogue includes subject contents in English. The Students can choose subjects from
this Catalogue to the study plan proposal (Learning Agreement) to be analyzed carefully by the
Departmental Coordinators and to be adjusted if necessary.
This ECTS catalogue contains information which is valid for this academic year. ISEC reserves the
right to adjust the courses offered during the academic year and is not responsible for typing errors
or printing mistakes.
Note:
Incoming students are able to choose subjects only from the some degree: or Bachelors or Master.
Exceptions are accepted if:
a)
the student is registered in the 4th year of the Bachelor (courses with 4/5 curricular years);
b)
the student is enrolled in the master degree.
Prof. Jorge Barbosa
International Relations Office Coordinator
Coimbra Institute of Engineering
Rua Pedro Nunes
Quinta da Nora
3030-199 Coimbra
PORTUGAL
Ms Dália Pires
Contact Person
Tel.: (+351) 239 790 206
[email protected]
Prof. Eduardo Natividade
Civil Engineering Department Coordinator
Rua Pedro Nunes – Quinta da Nora
3030 – 199 Coimbra
PORTUGAL
Tel.: (+351) 239 790 206
[email protected]
.
Academic Year 2016-2017
P a g e | ii
ECTS CATALOGUE
Bachelor – Civil Engineering Course
Code
Title - Portuguese
1.º ano / 1st Year
908904
Desenho e Métodos Gráficos
908943
Fisica
908903
908941
908908
908944
908907
908942
908911
908915
908919
908916
Title - English
Computer Aided Design Drawing
Physics
Computer Application in Civil
Informática
Engineering
Matemática I
Mathematics I
Materiais de Construção I
Construction Materials I
Mecânica Aplicada
Applied Mechanics
Desenho de Sistemas Construtivos Technical Drawing
Matemática II
Mathematics II
Materiais de Construção II
Construction Materials II
Métodos Estatísticos
Statistical Methods
Resistência dos Materiais I
Mechanics of Materials I
Topografia
Surveying
2.º ano / 2nd Year
908917
Construções Civis I
908925
Hidráulica Geral I
ECTS
4
5
5
Term
Winter
Winter
Winter
6
5
5
5
6
5
4
5
5
Winter
Winter
Winter
Spring
Spring
Spring
Spring
Spring
Spring
5
5
5
Winter
Winter
Winter
908918
Introdução à Geotecnia
Housing I
Hydraulics I
Geotechincs
908912
908939
908922
908923
908926
908920
908930
908928
908921
Métodos Numéricos
Qualidade, Higiene e Segurança
Resistência dos Materiais II
Análise de Estruturas
Betão Armado I
Construções Civis II
Economia e Gestão
Hidráulica Geral II
Mecânica dos Solos
Numerical Methods
Quality, Health and Security
Mechanics of Materials II
Analysis of Structures
Reinforced Concrete Structures I
Housing II
Economy and Management
Hydraulics II
Soil Mechanics
5
5
5
5
5
5
5
5
5
Winter
Winter
Winter
Spring
Spring
Spring
Spring
Spring
Spring
Reinforced Concrete Structures II
Highway Design and Safety
Foundations I
Operations Management I
Applied Hydraulics I
Land Use Planning and Management
5
5
5
5
5
Winter
Winter
Winter
Winter
Winter
Winter
Foundations II
Operations Management II
Applied Hydraulics II
Current Structural Design
Municipal Roads
Geographic Information Systems
5
5
5
5
5
3.º ano / 3rd Year
908929
908932
908924
908935
908931
908933
908927
908938
908934
908936
908937
908940
Betão Armado II
Estradas e Segurança Rodoviária
Fundações I
Gestão de Operações I
Hidráulica Aplicada I
Planeamento e Gestão
Urbanísticos
Fundações II
Gestão de Operações II
Hidráulica Aplicada II
Projecto de Estruturas Correntes
Rodovias Municipais
Sistemas de Informação
Geográfica
5
5
Spring
Spring
Spring
Spring
Spring
Spring
P a g e | iii
ECTS CATALOGUE
Master – Civil Engineering Course
Code
Title - Portuguese
1.º ano / 1st Year
667301
Matemática Aplicada à Engenharia I
667302
Tecnologias da Envolvente dos Edíficios
667306
Betão Estrutural
667303
Contenções Periféricas
Construção Prefabricada de Aço, de Betão
667304
e de Madeira
667305
Sustentabilidade e Reabilitação Urbana
667310
Hidráulica Urbana
667312
Conservação de Vias de Comunicação
667308
Projecto em Espaço Urbano
667309
Física dos Edifícios
667311
Avaliação de Projetos na Construção
667307
Matemática Aplicada à Engenharia II
Title - English
Applied Mathematics for Engineering I
Building Envelope Technology
Structural Reinforced Concrete
Flexible Retaining Strucures
Steel, Concrete and Wood Precast
Construction
Sustainability and Urban Regeneration
Urban Hydraulics
Highways Planning and Management
Urban Space Design
Building Physics
Constructions Projects Evaluation
Applied Mathematics for Engineering II
ECTS
Term
3.5
5
5.5
5.5
Winter
Winter
Winter
Winter
Winter
5.5
5
5.5
5.5
5
5.5
5
3.5
Winter
Spring
Spring
Spring
Spring
Spring
Spring
2.º ano / 2nd Year
Rehabilitation and Strengthening of
Buildings
667313
Reabilitação e Reforço de Edifícios
667314
667315
667316
667317
667318
Patologias de Inspeção e Diagnóstico
Instalações de Tratamento
Instalações Hidráulicas em Edifícios
Gestão Viária Urbana
Dissertação/Projecto/Estágio
Treatment Installations
Hydraulic Installations in Buildings
Urban Road Management
Thesis/ Professional Stage
Winter
5
5
5
5
5
45
Winter
Winter
Winter
Winter
Anual
Portuguese Course*
At Computer Science Department
Code
977048
Title - Portuguese
Língua e Cultura Portuguesa
Title – English
Portuguese Language and Culture
ECTS
6
* The level of the Course might change depending on the student’s language knowledge.
Term
Winter
Lic. em Engenharia Civil /Undergraduate Course in Civil Engineering
Ficha de Unidade Curricular/Course Unit Description
__________________________________________________________________________________________________________________
Title
Applied mechanics
Scientific Area:
Structural mechanics
Course:
Undergraduate Course in Civil Engineering
Codigo:
908944
Term/Semester: 1st / 1st
ECTS:
5,0
Department:
Civil Engineering
Study plan:
1. Introduction: structural analysis as part of the design process.
2. Centroids and moment of inertia.
3. Statically determinate pin-jointed frameworks (trusses): internal forces.
4. Statically determinate structures: shear force and bending moment diagrams.
Language
Portuguese / tutorial support in English
Type of
instruction:
Activities
Theoretical
Learning
objectives:
Total Hours Hours/week
49,0
3,5
Practical:
0
0
Tutorial
guidance
7,0
0,5
Comments
Applied mechanics examines the response of bodies (solids and fluids) or systems of bodies to
external forces. Statics is the branch of mechanics concerned with the analysis of loads (force,
torque/moment) on physical systems in static equilibrium. The students should be able to (i)
understand the fundamentals of static equilibrium and (ii) compute the internal forces of a
structure subjected to a combination of external loads.
__________________________________________________________________________________________________________________
Generic
learning
outcomes and
competences:
At the end of this module the student should:
• Be familiar with statics, the equilibrium of arbitrary force systems in two and three
dimensions, structural support types, and the concept of structural mechanisms.
• Understand structural forms and their various characteristics.
• Model and solve straightforward problems in structures, including simple trusses,
beams and frames.
• Determine the internal forces in statically determinate structures.
Bibliography:
Branco CAGM. Mecânica dos Materiais. Fundação Calouste Gulbenkian, 1985.
Beer FP e Johnston Jr ER. Mecânica Vectorial para Engenheiros, Estática. McGraw-Hill, 1998.
Beer FP e Johnston Jr ER. Resistência dos Materiais. McGraw-Hill, 1989.
Progress
assessment:
Final exam.
__________________________________________________________________________________________________________________
Title
Physics
Scientific Area:
Physics
Course:
Codigo:
908943
ECTS:
5,0
Department:
DFM
Instructor:
Study plan:
Milton Augusto Morais Sarmento Pato de Macedo
1. Systems of Units.
2. Vectors.
3. Systems of Forces and Moments.
4. Rotational Dynamics of a Rigid-Body.
5. Fluid Mechanics.
Language
Type of
instruction:
Activities
Comments
Theoretical
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
Progress
assessment:
Practical:
14
1
Experimental works
Tutorial
guidance
42
3
Lectures; Illustrative application
examples; Problem solving
The main aim of this course unit is to acquire competence in the understanding of Nature, in
the domain of Physics. Experimental work is expected to complement the theoretical
knowledge in the fields of science and engineering.
1. Understanding and ability to manipulate the physical entities and units covered.
2. Ability to perform scientific decisions and judgments associated both with the theoretical
and practical (experimental work and problem-solving) knowledge acquired.
3. Practising the interchanging of ideas and the discussion of problems and solutions and
developing a professional attitude in his relation to work (from experimental group work).
4. Developing self-knowledge acquisition habits (from individual study and tutorial contacts).
- A. Bedford, W. Fowler, Statics, SI Edition, Addison-Wesley, 1997
- A. Bedford, W. Fowler, Dynamics, SI Edition, Addison-Wesley, 1996
- P. Tipler, Física para Cientistas e Engenheiros, 4th Ed., LTC Brasil, 2000.
- F. Sears, M. W. Zemansky, H. D. Young, Física, 2nd Ed., LTC Brasil, 1992.
- F. J. Bueche, E. Hecht, Física, 9th Ed., McGraw-Hill Portugal, 2001.
- R. A. Serway, Física para Cientistas e Engenheiros, 3rd Ed., LTC Brasil, 1992.
- Teacher notes (theory, exercises, practical examples).
- Three tests during the Semester / Final written exam (80%).
- Experimental works (20%).
__________________________________________________________________________________________________________________
Title
Mathematics II
Scientific Area:
Mathematics
Course:
Codigo:
908942
Term/Semester: 1st / 2nd
ECTS:
6
Department:
Study plan:
Physics and Mathematics
1. Matrices and Linear Systems
Introduction; Matrix operations and their properties; Row echelon form and rank;
Classification and geometry of linear systems; Gaussian elimination; Homogeneous systems;
Matrix inversion: Gauss-Jordan method;
2. Determinants
Definition and properties; Cramer’s rule.
3. Linear Spaces
Definition, Examples and Properties; Subspaces; Linear combinations; Linear expansion;
Linear independence; Basis and dimension.
4. Eigenvalues
Eigenvalues, eigenvectors and their properties; Diagonalization; Cayley-Hamilton Theorem.
5. Linear Differential Equations of order n
Basic definitions.
Linear homogeneous equations with constant coefficients.
Nonhomogeneous equations.
6. First-Order Linear Systems of Differential Equations
Basic definitions. Initial condition problems. Superposition principle. Solution of a 1st order
linear system using eigenvalues and eigenvectors. Matrix exponential. Nonhomogeneous
systems.
Language
Type of
instruction:
Activities
Comments
Theoretical
Practical:
70
5
Tutorial
guidance
Learning
objectives:
Perform basic matrix operations.
Compute matrix determinants, eigenvalues and eigenvectors.
Solve linear differential equations of order n.
Solve 1st order linear differential systems of differential equations.
__________________________________________________________________________________________________________________
Understand and apply concepts related to vector spaces.
Solve and interpret linear systems using matrix theory.
Understand the importance of linear algebra and analytic geometry in engineering.
Recognize the importance of the algorithms in linear algebra.
Solve real problems which are modelled by matrices and systems.
Generic
learning
outcomes and
competences:
Bibliography:
Develop algorithms using a logical and structured reasoning.
Base problem solving on mathematics.
Compare, with criticism, the results obtained by analytical means with the ones obtained
by computational means.
Select appropriately the accessible information (from monographs, textbooks, web, …).
Expose, using documents, the problems’ solution in a clear and simple way.
Explain the concepts and problems’ solution in an appropriated way.
Solve practical problems with autonomy using, not only the subjects treated in the class,
but also other related topics.
● ANTON, H. - Elementary Linear Algebra, John Wiley & Sons, Inc, 2000.
● BOYCE, W. and DIPRIMA, R., Elementary Differential Equations and Boundary Value
Problems, Wiley.
● BRAUN. M., Differential Equations and Their Applications: an introduction to applied
mathematics (4th Ed.), Springer, N. Y..
● CABRAL, I., PERDIGÃO, C. and SANTIAGO, C., Álgebra Linear – Teoria, Exercícios resolvidos e
Exercícios propostos com soluções, Escolar Editora, 2009.
● CARREIRA, A. and PINTO, G. – Cálculo Matricial – Teoria Elementar, Ciência e Técnica, 1999.
● FIDALGO, C. - Álgebra Linear, Instituto Superior de Engenharia de Coimbra
● GOUVEIA, M. L. and ROSA, P. M., Apontamentos de Análise Matemática II, Departamento
de Física e Matemática, ISEC, 2006.
● GRAHAM, A. - Matrix Theory and Applications for Engineers, Ellis Horwood Limited, 1979.
● JAMES, G. - Modern Engineering Mathematics, Prentice Hall, 2000.
● KREYSZIG, E., Advanced Engineering Mathematics (8th Ed.), Wiley.
● PINTO, G.; MONTEIRO, A.; MARQUES, C. – Álgebra Linear e Geometria Analítica. Problemas e
Exercícios, McGraw-Hill, 2001. ISBN-13: 9789728298661
● NICHOLSON, W. – Elementary Linear Algebra with Applications, PWS Publishing Company,
1986. ISBN13: 9780871509024
● SANTANA, A.; QUEIRÓ, J. - Álgebra Linear e Geometria Analítica, Departamento de
Matemática, Universidade de Coimbra (2003). Available online (Setember, 2009) at
www.mat.uc.pt/~jfqueiro/ALGA.pdf
● ZILL, D., A First Course in Differential Equations with Modelling Applications (7th Ed.),
Brooks/Cole.
Progress
assessment:
Final written exam (100%).
__________________________________________________________________________________________________________________
Title
Mathematics I
Scientific Area:
Mathematics
Course:
Academic Year:
908941
ECTS:
5
Department:
Study plan:
Mathematics and Physics
Chapter I: Pre-calculus and calculus introduction
Chapter II: Complements of differential calculus
Chapter III: Techniques of integration
Chapter IV: Applications of integration
Language
Type of
instruction:
Activities
Comments
Theoretical
Practical:
71,5
5h30
Tutorial
guidance
Learning
objectives:
Development of critical spirit, coordination capacity, reflection attitudes and research, seeking
the acquisition of indispensable basic knowledge for the group of disciplines of the course of
Civil Engineering, namely of differential and integral calculus and their applications.
Generic
learning
outcomes and
competences:
Capacity of use of mathematical techniques. To acquire basic knowledge of differential and
integral calculus and its indispensable applications for the attendance of the disciplines of Civil
Engineering. To develop the capacity of concepts’ perception , abstract reasoning, results
interpretation and its application to the resolution of problems.
Bibliography:
o
o
o
o
o
o
o
o
o
o
Progress
assessment:
Final Exam: 100%
The approval requests the obtaining of at least 9,5 values.
Pré-Cálculo e Introdução ao Cálculo, DFM, ISEC
Notas Teóricas de Análise Matemática, Rui Rodrigues, DFM, ISEC
M. Fonseca Saraiva, M. Carvalho Silva, “Primitivação”. Edições ASA
Ron Larson, Robert Hostetler, Bruce Edwards, “CÁLCULO ”, volume 1. McGraw-Hill
Robert Adams, “CALCULUS, A COMPLETE COURSE ”, Addison Wesley Longman
Howard Anton, “CÁLCULO – UM NOVO HORIZONTE”, volume 1. Bookman
Tom M. Apostol, “CALCULUS”, volume 1. John Wiley & Sons
Hamilton Luiz Guidorizzi, “UM CURSO DE CÁLCULO”, volume 1. LTC Editora
Erwin Kreyszig, “ADVANCED ENGINEERING MATHEMATICS”. John Wiley & Sons
Earl W. Swokowski “CÁLCULO COM GEOMETRIA ANALÍTICA”, volume 1. McGraw-Hill
__________________________________________________________________________________________________________________
__________________________________________________________________________________________________________________
Title
Quality, health and security
Scientific Area:
Construction Sciences
Course:
Codigo:
908939
Term/Semester: 2nd/1st
ECTS:
5
Department:
Department of Civil Engineering
Study plan:
Introduction: Presentation of the Module and its procedures.
Definition od Quality: Presentation of the Quality lexicon and explanation of its diverse frames.
Methods for Design Quality Evaluation: QUALITEL, SEL, HQI and FEUP/MC
Construction Quality (ISO 9000 standards, implementation of quality management systems in
construction)
The problem of safety in construction.
Safety equipment.
Language
Type of
instruction:
Activities
Comments
Theoretical
3.5
3.5
There will be absence control
Tutorial :
0.5
0.5
There will not be absence control
Tutorial
guidance
Learning
objectives:
Generic
learning
outcomes and
competences:
To provide to the students the knowledge for the improvement of the quality of the
construction based on the ISO 9000 standards.
To provide to the students the knowledge for the implementation of Methods for Design
Quality Evaluation.
To provide to the students the knowledge for the improvement of the occupational safety in
construction and the Construction Sites Directive.
Continuous evaluation method: 3 exams and several group of students applied work in class
environment. A small report prepared by groups of 4 students outside class environment. This
report is presented in class environment.
Final evaluation method: 1 exam. A small report prepared by groups of 4 students outside
class environment. This report is presented in class environment.
__________________________________________________________________________________________________________________
Bibliography:
Progress
assessment:
__________________________________________________________________________________________________________________
Title
operations management 2
Scientific Area:
constructions
Course:
Codigo:
908938
Term/Semester: 3rd / 2nd
ECTS:
5.0
Department:
Study plan:
Construction site plan elaboration. Subcontratctors selection and management.
Planning and scheduling the works to be done.
Examine and inspect the works progress.
Language
Type of
instruction:
Portuguese / Tutorial support in English
Activities
Theoretical
60
4.0
Comments
All the developed activities have both a
theoretical and a practical component
Practical:
Tutorial
guidance
Learning
objectives:
elaborating a construction site plan.
planning all the works, resources and materials. Scheduling tasks using a Gantt or a P.E.R.T.
charts and determining the critical path.
selecting and managing subcontractors.
examining and inspecting the works progress.
Generic
learning
outcomes and
competences:
Bibliography:
Progress
assessment:
Planning and managing a construction site.
Legislation.
An exam that is worth 50% and 8 exercises that are worth the remaining 50%.
__________________________________________________________________________________________________________________
Title
Municipal Roads
Scientific Area:
Civil Engineering (Territory & Transportation)
Course:
Codigo :
908937
ECTS:
5
Department:
Study plan:
Highway construction and design (earth moving; pavement materials technology; evaluation
of materials in laboratory; introduction to structural design of flexible pavements);
Maintenance and rehabilitation of pavements’ technology; Hierarchy of Roads;
Transportation modes: traffic circulation; pedestrian circulation; collective urban transport;
Traffic calming techniques; car parking.
Language
Type of
instruction:
Activities
Theoretical/
Practical
42
3
Laboratorial
7
0.5
Tutorial
guidance
7
0.5
Comments
Learning
objectives:
Beginning activities related with planning and management of the road transportation system;
Developing students’ skills on infrastructure design, construction and management of the road
transportation system.
Generic
learning
outcomes and
competences:
Bibliography:
Understanding; practical use of skills; Judgment and decision making;
Communication; Self-learning.
Branco, F., Pereira, P. and Picado-Santos, L., Pavimentos Rodoviários, Edições
Almedina, Coimbra, 2005 (ISBN 972-40-2648-5).
Branco, F., Picado, L., Capitão, S., Vias de Comunicação – Vol II– DEC, FCTUC, Coimbra,
2005.
Baptista, A., Vasconcelos, A., Gestão de Espaços de Estacionamento, IPV – EST, Viseu,
2001.
Baptista, A., Vasconcelos, A., O Sistema Pedonal, IPV – EST, Viseu, 2001.
Marques, J., Engenharia de Segurança Rodoviária em Áreas Urbanas : recomendações e
boas práticas,
__________________________________________________________________________________________________________________
Prevenção Rodoviária Portuguesa, Lisboa, 2005.
Martins, M., Apoio aos Transportes Colectivos, DEC-ISEC, Coimbra, 2002.
Ramos, C., Drenagem em Infra-Estruturas de Transportes e Hidráulica de Pontes,
Laboratório Nacional de
Engenharia Civil, Lisboa, 2006.
Seco, A., Pais Antunes, A., et al., Princípios Básicos de Organização Viária, DEC, FCTUC,
Coimbra, 2006.
Seco, A., Ribeiro, A., Macedo, J., Sistemas de Acalmia de Tráfego, DEC – FCTUC, Coimbra,
2005.
Progress
assessment:
Project activities: project on earth moving; project on design of flexible pavements.
Laboratory sessions’ reports.
Final examination .
__________________________________________________________________________________________________________________
Title
operations management 1
Scientific Area:
constructions
Course:
Codigo:
908935
Term/Semester: 3rd / 1st
ECTS:
5.0
Department:
Study plan:
measuring civil construction works;
elaborating budgets for construction;
existing legislation for public works contracts.
Language
Type of
instruction:
Activities
Theoretical
60
4.0
Comments
Practical:
Tutorial
guidance
Learning
objectives:
quantify all the works, materials and other resources needed to the construction execution of
the project and estimate its cost, respecting the existing legislation.
learning how to prepare a bid for a public contract contest.
Generic
learning
outcomes and
competences:
know how to measure and budget a construction project.
know what rules should a prime contractor respect when answering a building solicitation,
according to specific national legislation.
reviewing a project's plans and specifications to produce a takeoff (a list of item and material
quantities needed for the construction execution of the project)
Bibliography:
As Regras da Medição na Construção, LNEC
Informação sobre Custos, Fichas de Rendimento, LNEC
Progress
assessment:
An exam that is worth 50% and 8 exercises that are worth the remanescent 50%.
__________________________________________________________________________________________________________________
Title
Applied Hydraulics II
Scientific Area:
Civil Engineering - Hydraulics, Water Resources and Environment
Course:
Codigo:
908934
ECTS:
5,0
Department:
Study plan:
Laws and Regulations
Wastewater Systems – Population estimation, Water use, Variations in water use, Design
discharges; System conception and design (collection networks and pumping stations).
Stormwater Systems – Urban hydrology, Design discharges; System conception and design
(collection networks).
Vacuum systems (wastewater) and infiltration systems (stormwater).
Introduction to wastewater treatment systems.
Language
Type of
instruction:
Activities
Theoretical
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
49
Practical:
4
Tutorial
guidance
7
Comments
3,5
0,5
Acquire the required knowledge for interpretation, conception and design of drainage systems
(wastewater and stormwater).
Conceive and design drainage systems (drainage networks and pumping stations).
Understand the hydrological processes involved in the determination of hydrological variables
used in the design of stormwater networks.
Introduce the main chemical, physical and biological processes involved in water and
wastewater treatment.
Sá Marques, J.A.A., e Sousa, J.J.O. – Hidráulica Urbana: Sistemas de Abastecimento de Água e
de Drenagem de Águas Residuais, Imprensa da Universidade de Coimbra.
Regulamento Geral dos Sistemas Públicos e Prediais de Abastecimento de Água e de
Drenagem de Águas Residuais, Decreto regulamentar nº 23/95, de 23 de Agosto.
Paixão, M.A. – Águas e Esgotos em Urbanizações e Instalações Prediais, Edições Orion.
Quintela, A.C. – Hidráulica, Fundação Calouste Gulbenkian.
Lencastre, A. – Hidráulica Geral, Hidroprojecto.
Novais-Barbosa, J. – Mecânica dos Fluidos e Hidráulica Geral, Vols. 1 e 2, Porto Editora.
Oliveira, L.A., e Lopes, A.G. – Mecânica dos Fluidos, Edições Técnicas e Profissionais.
Çengel, Y.A., e Cimbala, J.M. – Mecânica dos Fluidos: Fundamentos e Aplicações, McGraw-Hill.
__________________________________________________________________________________________________________________
Progress
assessment:
Continuous assessment (50%): students have to conceive and design a water supply system
(10 values).
Final examination (50%): written examination with questions of theoretical and practical
nature (10 values).
A student is passed if: obtained at least 50% of the continuous assessment quote, obtained at
least 40% of the final examination quote, and the final note is equal or exceeds 9.5 values.
__________________________________________________________________________________________________________________
Title
Land Use Planning and Management
Scientific Area:
Civil Engineering (Territory and Transports)
Course:
Codigo:
908933
ECTS:
5
Department:
Study plan:
Theory and concepts of Planning; Land Use Planning and Management in Portugal;
Spatial planning and management at municipal level;
Main legal framework for Land use Planning and Management
Language
Type of
instruction:
Activities
Comments
Theoretical
Learning
objectives:
Practical:
49
3.5
Tutorial
guidance
7
0.5
Knowledge of the conceptual framework related to Planning
Knowledge of the competences, duties and activities of municipal authorities regarding spatial
planning and management and related legal framework
Knowledge and use of analysis techniques applied to spatial planning and management
Generic
learning
outcomes and
competences:
To understand the structures and instruments which entail the spatial planning and
management activity
To know and apply methodologies, methods and techniques used in spatial planning and
management
To develop critical thinking related to problems of land use
__________________________________________________________________________________________________________________
Bibliography:
Antunes, António José, Lições de Planeamento Territorial. DEC_UC, 2004
Costa Lobo, M., Correia, Paulo e Pardal, Sidónio, Normas Urbanísticas, Vol I, II, III, IV,
DGOTDU/UTL, 1991-2000
Costa Lobo, M., Administração Urbanística - evolução legal e sua prática, IST press, 2001
Hall, Peter, Urban and Regional Planning, John Wiley & Sons, 1992
DL 48/98, Lei de Bases do Ordenamento do Território e do Urbanismo
DL 380/99 – Regime Jurídico dos Instrumentos de Gestão Territorial (and alterations)
DL 177/2001 – Regime Jurídico da Urbanização e Edificação (and alterations)
Powerpoint presentations from lectures
Progress
assessment:
Working papers – students must do (individually or in groups of 2 persons) 1 or 2 working
papers related to practical aspects of spatial planning and management at municipal level
(value: up to 40% of the final mark)
Exam – written test at the end of the semester (value: between 60% and 80% of the final
mark). The marks of the working papers will be added to the mark of the test providing that
this one is above 8,5 (in 20)
__________________________________________________________________________________________________________________
Title
Highway Design and Safety
Scientific Area:
Civil Engineering
Course:
Codigo:
908932
rd
st
Term/Semester: 3 / 1
5,0
ECTS:
Department:
Study plan:
It is intended that the students understand the key features and circumstances of roads as
Civil Engineering works, focusing mainly on the study of highway’s geometry, but also road
planning and its key elements, traffic analysis and forecasting and level of service evaluation.
Language
Type of
instruction:
Learning
objectives:
Activities
Theoretical
21,0
1,5
Practical:
28,0
2,0
Tutorial
guidance
7,0
0,5
Comments
Road design project: Definition of its geometric characteristics as a result of a broad set of
criteria commonly found in its design phase. Introduction to safety and road signs: A relationship between driver-vehicle-highway factors and accidents in the perspective of road safety,
General principles relating to vertical and horizontal (road marking) signalling
Generic
learning
outcomes and
competences:
Comprehend the different procedures related to the design and analysis of roads in its various
Bibliography:
“Vias de Comunicação – Vol I”, F. Branco, L. Picado, S. Capitão – DEC, FCTUC, Ed. 2001
“Norma de Traçado”, Junta Autónoma de Estradas, Almada – JAE, 1994
“Highway Capacity Manual” – Washington, D. C. : TRB, 2000 [7-4-177 (ISEC) - 11934]
Progress
assessment:
components, particularly highway infrastructures.
One written exam (12/20) + one practical work (8/20). To pass a student must have 10/20.
__________________________________________________________________________________________________________________
Title
Applied Hydraulics I
Scientific Area:
Course:
Codigo:
908931
ECTS:
5,0
Department:
Study plan:
Applied Hydraulics Domain
Urban Hydraulics
Laws and Regulations
Water Supply Systems – Population estimation, Water use, Variations in water use, Fire
demand, Design discharges; System conception and design (water treatment, conveyance,
pipelines, pumping stations, water hammer analysis, storage and distribution networks).
Language
Type of
instruction:
Activities
Theoretical
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
Progress
49
Practical:
4
Tutorial
guidance
7
Comments
3,5
0,5
Acquire the required knowledge for interpretation, conception and design of water supply
systems.
Conceive and design water supply systems (treatment, conveyance, storage and distribution).
Understand the hydrological processes and recognize the potential of water use as an
economic factor of production and social progress.
Introduce the main chemical, physical and biological processes involved in water and
wastewater treatment.
Sá Marques, J.A.A., e Sousa, J.J.O. – Hidráulica Urbana: Sistemas de Abastecimento de Água e
de Drenagem de Águas Residuais, Imprensa da Universidade de Coimbra.
Regulamento Geral dos Sistemas Públicos e Prediais de Abastecimento de Água e de
Drenagem de Águas Residuais, Decreto regulamentar nº 23/95, de 23 de Agosto.
Paixão, M.A. – Águas e Esgotos em Urbanizações e Instalações Prediais, Edições Orion.
Quintela, A.C. – Hidráulica, Fundação Calouste Gulbenkian.
Lencastre, A. – Hidráulica Geral, Hidroprojecto.
Novais-Barbosa, J. – Mecânica dos Fluidos e Hidráulica Geral, Vols. 1 e 2, Porto Editora.
Oliveira, L.A., e Lopes, A.G. – Mecânica dos Fluidos, Edições Técnicas e Profissionais.
Çengel, Y.A., e Cimbala, J.M. – Mecânica dos Fluidos: Fundamentos e Aplicações, McGraw-Hill.
Continuous assessment (50%): students have to conceive and design a water supply system
__________________________________________________________________________________________________________________
assessment:
(10 values).
nature (10 values).
__________________________________________________________________________________________________________________
Title
Reinforced Concrete Structures II
Scientific Area:
Structural Mechanics
Course:
Codigo:
908929
ECTS:
5
Department:
Study plan:
Torsion in reinforced concrete beams
General: review of knowledge about torsion, compatibility and balance torsion;
Model of resistance in cracked phase;
Torsion moment resistant (torsion associated with bending and shear);
Detailing of reinforcement;
Comparison of the rules between the REBAP and EC2.
Slabs (introduction)
Definition of slab;
Types and classifications: description of various types of slabs and presentation of
several examples.
Punching
Basic control perimeter;
Punching shear resistance of slabs and column bases without shear reinforcement;
Punching shear resistance of slabs and column bases with shear reinforcement;
Comparison of the rules between the REBAP and EC2.
Slabs with ceramic elements and pretensioned elements
Overview;
Checking the safety to the Ultimate limit states (ULS) and to the Serviceability limit
states (SLS);
Manufacturing this type of slabs.
Concrete slabs
General;
Determination of the distribution of internal forces and moments. Hypotheses of
Kirchoff. Lagrange equation.
Calculation of maximum moments applied in the slabs using tables;
Theory of plasticity in slabs: static method - application examples; cinematic method lines of fracture;
Design slabs: slabs of one-way spanning and slabs of two-way spanning;
Checking the safety to the Ultimate limit states and to the Serviceability limit states
Comparison of the rules between the REBAP and EC2;
Slabs for stairs.
Direct Foundations
Column footings (isolated, center and eccentric);
Column footing with beams of balance.
__________________________________________________________________________________________________________________
Language
Type of
instruction:
Activities
Theoretical
and practical
Tutorial
guidance
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
Total Hours
Hours/week
49
3,5
7
0,5
Comments
know the theory and the practice related with the design and manufactured of reinforced
concrete structures (current structures)
Recognize, diagnose and prevent structural pathologies in constructions.
Generic skills:
Application of knowledge;
Make judgments / decisions;
Self-learning.
Specific skills:
Acquire knowledge and understanding capacity in the field of reinforced concrete
structures, particularly at the level of design and manufacturing;
Review the fundamental principles on the behavior of reinforced concrete structures in
order to strengthen the knowledge already acquired;
Increase the capacity to understand the reinforced concrete structures used in the
current buildings;
Provide the students with new knowledge to deal with the contemporary situations in
the area of reinforced concrete structures (making judgments and developing
solutions).
REBAP - Regulamento de Estruturas de Betão Armado e Pré-Esforçado (1983), DecretoLei n.º 349-C/83, de 30 de Julho;
EC2 - EN 1992-1-1 - “Eurocódigo 2: Projecto de estruturas de betão armado – Parte 1-1:
Regras gerais e regras para edifícios”;
CEB-FIP MODEL CODE 1990, Comité Euro-International du Béton, Lausanne, Suisse,
1990;
Júlio Appleton, João Almeida, José Câmara, Augusto Gomes - “Betão Armado e PréEsforçado II – Volume I, Volume II e Volume III”, Instituto Superior Técnico, 1989;
Leonhardt, F. - “Construções de Concreto” (do Volume 1 ao volume 4), Editora
Interciência, Lda., Rio de Janeiro, Brasil;
Elementos de apoio às aulas elaborados pelos docentes da disciplina – Betão Armado II.
Diapositivos apresentados nas aulas.
Other elements of study available at:
http://www.civil.ist.utl.pt/~cristina/bape1/
http://www.qsp.pt/
Elementos de estudo da disciplina Estruturas de Betão I (IST) – Módulo 3 Verificação do
comportamento em serviço (Estados Limites de Utilização) – Carla Marchão e Júlio
__________________________________________________________________________________________________________________
Appleton;
Elementos de estudo da disciplina Estruturas de Betão II (IST) – Módulo 2 Lajes – Carla
Marchão e Júlio Appleton;
Elementos de estudo da disciplina Estruturas de Betão II (IST) – Módulo 3 Fundações de
Edifícios – Carla Marchão e Júlio Appleton;
Elementos de estudo da disciplina Estruturas de Betão II (IST) – Execução de Estruturas
de Betão – Júlio Appleton;
Cálculo prático de estruturas de betão armado – aços SD
Progress
assessment:
Scientific papers available at: http://www.civil.ist.utl.pt/~cristina/GDBAPE/Artigos.htm
Júlio Appleton – “Eurocódigo 2 – EN1992-1-1”
Júlio Appleton, Paulo França – “Implementação do Eurocódigo 2 – (EN1992-1) em
Portugal. Comparação com o REBAP”
Júlio Appleton, António Costa, Paulo França – “Efeitos Estruturais da Deterioração em
Estruturas de Betão Armado”
João Saraiva, Júlio Appleton – “Avaliação da Capacidade Sísmica de Edifícios de Betão
Armado de Acordo com o Eurocódigo 8 – Parte 3”
Miguel Lourenço, João Almeida - “Campos de Tensões em Zonas de Descontinuidade”
João Almeida, Miguel Lourenço – “Stress Field Models for Structural Concrete”
2 exams to be carried out during the period of the lessons (each exam is quoted for 4
points in the range of 0 to 20).
1 final exam to be carried out during the period of the exams (normal exam and last
exam) quoted for 12 or 20 on a scale of 0 to 20.
The student can choose not to do the tests during the lessons or can do the tests and
choose not to account for the final result. In these cases, the final exam will be quoted
for 20 points.
For the student who chooses to account the tests evaluation for the final result, the final
exam will be quoted for 12 points. In this case, the final result will be the sum of the
tests results with the final exam result.
The approval requires the achievement of at least 9.5 in the final result.
__________________________________________________________________________________________________________________
Title
Hydraulics II
Scientific Area:
Civil Engineering (Hydraulics, Water Resources)
Course:
Codigo:
908928
Term/Semester: 2nd / 2nd
ECTS:
5
Department:
Study plan:
1. PRESSURE FLOW
1.1. Minor Losses
1.2. Pipe Systems
1.2.1. Pipes in series and parallel
1.2.2.Multiple pipes and multiple reservoirs
1.2.3.Pipe networks
1.3. Cavitation
2. OPEN CHANNEL FLOW
2.1. Classification of open channel flows
2.2. Uniform flow
2.2.1.Simple sections
2.2.2.Velocity distribution
2.2.3.Closed sections
2.2.4.Nonuniform perimeters
2.3. Gradually varied flow
2.3.1.Specific energy
2.3.2.Flow control
2.3.3. Classification of surface profiles
2.3.4.Examples of gradually varied flow
2.4. Rapidly varied flow - hydraulic jump
3. FLOW TROUGH ORIFICES AND WEIRS
4. TURBOMACHINERY
4.1. Turbines
4.1.1.Classification of turbines
4.1.2.Reaction turbines installations
4.1.3.Impulse turbines installations
4.1.4.Specific speed
4.1.5.Runaway speed
4.1.6.Cavitation of the turbine
4.1.7.Turbine performance curves
4.1.8.Selection of turbines
4.1.9.Miniturbines
4.2. Pumps
4.2.1. Classification of pumps
4.2.2.Centrifugal pump installations
__________________________________________________________________________________________________________________
4.2.3.Axial pump installations
4.2.4.Specific speed
4.2.5.Pump performance curves
4.2.6.Matching a pump to a piping system
4.2.7.Pumps in parallel or series connection
4.2.8.Pump start-up and priming
4.2.9.Suction limitations of pumps
Language
Type of
instruction:
Activities
Theoretical/
Practical
42
3
Laboratorial
7
0.5
Tutorial
guidance
7
0.5
Comments
Learning
objectives:
On successful completion of this module, students will have the ability to analyze and solve
problems related to; pipe systems; flow in open channels; pumping stations; flow trough
orifice and weirs.
Generic
learning
outcomes and
competences:
On successful completion of this module, students will have developed a range
of generic skills spanning: hydraulic analysis; team work; numerical analysis; data analysis.
Bibliography:
HIDRÁULICA. A. Carvalho Quintela. Fundação Calouste Gulbenkian
HIDRÁULICA GERAL. Armando Lencastre. Edição do Autor
MECÂNICA DOS FLUIDOS. B. S. Massey. Fundação Calouste Gulbenkian.
MECÂNICA DOS FLUIDOS E HIDRÁULICA GERAL. J. Novais Barbosa. Porto editora HIDRÁULICA
GERAL. A. Manzanares. Editora AEIST
ENGINEERING FLUID MECHANICS. John A. Roberson, Clayton T. Crowe. John Wiley & Sons
FUNDAMENTALS OF FLUID MECHANICS. Bruce R. Munson, Donald F. Young, Theo-dore H.
Okiishi. John Wiley & Sons
EXERCICES DE MÉCANIQUE DES FLUIDES. Michel A. Morel, Jean-Pierre Laborde. Eyrolles
Exam: 90%; Number of exams: 2; Exam duration: 3h;
Other assessment: laboratorial work; Other assessment: 10%
Progress
assessment:
__________________________________________________________________________________________________________________
Title
FOUNDATIONS II
Scientific Area:
Civil engineering
Course:
Codigo:
908927
ECTS:
5.0
Department:
Study plan:
1. Two-dimensional seepage in soils
Basic principles and theories (Revisions). Permeability and Darcy’s law (Revision). Hydraulic
head. Bernoulli theorem. One-dimensional ascending and descending seepage. Influence of
seepage in water pressures and soil effective stresses. Equivalent permeability coefficient in
stratified soil massifs. Two-dimensional seepage. Flow nets in soil with permeability isotropy.
Flow mathematical equation. Flow evaluation. Soil stress state evaluation. Flow nets in soil
with permeability anisotropy. Hydraulic instability and collapse. Critical gradient. Piping and
hydraulic heaving.
2. Slope stability
Types of slopes. Natural, excavation and constructed. Geomorphological evolution of slopes.
Erosion. Land movements. Geological influence on slope stability. Lithology. Fractures and
joints. Hydro-geological conditions. Causes of slope unstabilization. External and internal
causes. Stabilization works. Stability analysis methods. Infinite slopes: dry frictional soil with
seepage parallel to ground surface; cohesive soil. Safety evaluation according to Eurocode 7.
Circular slipping surfaces. Failure mechanism. Total stress analysis. Partially submerged
slopes. Taylor’s stability number. Slices methods. Fellenius. Bishop. Bishop and Morgenstern
stability numbers. Stability of embankment and unsupported excavation in clays.
Embankments in soft soils.
3. Compaction
Compaction energy. Compaction curves. Compaction of non cohesive soils. Compaction of
cohesive soils. Compaction test. Proctor. Procedures and results. Types of compaction.
Pressure, impact and vibration. Compaction works and equipments. Precautions. Selection of
the adequate equipment. Compaction control in the field. Tests. Frequency.
4. Soil reinforcement
Reinforced earth. General characteristics. Basic principles and assumed behaviour. Design.
Materials. Constructive procedures. Geosynthetics. Main types. Functions and characteristics
of the materials. Design properties. Walls and slopes reinforced with geosynthetics. Design
and constructive details.
5. Trenches
Language
Type of
instruction:
Legal framing. Accidents, risks and preventing measures. Supporting systems. Constructive
Procedures. Design.
Activities
Comments
__________________________________________________________________________________________________________________
Theoretical
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
Progress
assessment:
42
3
Theory and problem resolution
Practical:
7
Laboratorial and field tests
Tutorial
guidance
7
Tutorial and software practice
Technology and design of geotechnical structures involving earth works, including twodimensional seepage, slope stability, compaction, soil reinforced and geosynthetics.
Analyze and design natural and excavation slopes and embankments, compaction situations,
soil reinforcement and geosynthetic usage.
Recognize, diagnose and prevent pathologies in earth works.
Use software programs to evaluate stability and safety of geotechnical structures.
ABMS/ABEF editado por Waldemar Hachich et. al. - Fundações, Teoria e Prática
Coelho, Silvério, Tecnologia de Fundações, edições E.P.G.E.
Day, R. W., Geotechnical and Foundation Engineering, McGraw Hill
Jewell, R. A., Soil reinforcement with geotextiles
Koerner, Robert M., Designing with geosynthetics
Matos Fernandes, M., Mecânica dos Solos II
Moreira, C., Percolação Bidimensional da Água nos Solos
Moreira, C., Compactação
Moreira, C., Estabilidade de Taludes – Método Global
Ordem dos Engenheiros, Recomendações na Área da Geotecnia
Written evaluation;
Laboratorial group tests plus individual slope stability project.
__________________________________________________________________________________________________________________
Title
Reinforced Concrete Structures I
Scientific Area:
Course:
Codigo:
908926
Term/Semester: 2nd /2nd
ECTS:
5
Department:
Study plan:
Principles of structural safety:
General principles of limit states.
Actions. Classification, calculation/computation and combination of actions.
Basis of design.
Checking the safety to the ultimate limit states and to the serviceability limit states.
Calculation of the design values for forces and bending moments applied in structures.
Reinforced concrete:
Types and classes of concrete. Reinforcing steel. Mechanical properties. Design stress-strain
relations. General rules for structures subject to seismic actions. Determination of the cracking
moment in rectangular section. Behavior of reinforced concrete elements in the cracked and
uncracked phase.
Procedures for determining the resistant efforts in reinforced concrete members with
prismatic sections (beams and columns): elements subjected to axial forces, bending
moments, shear forces and axial forces with bending moments.
Detailing of reinforcement.
Axial forces and bending:
Conventional failure. Hypotheses. Constitutive relationship. Design reinforced concrete ties
and reinforced concrete struts. Design the longitudinal and the transverse reinforcing steel in
beams with rectangular sections. Influence of the axial forces. Design the longitudinal and the
transverse reinforcing steel in columns subjected to axial forces and bending moments. Check
the column safety in relation to the ultimate limit state of buckling. Code procedures.
Shear force:
Resistant model of Morsch truss - quantification of the shear force resistant.
Influence of the normal force and bending moment. Design the specific reinforcing steel.
Language
Type of
instruction:
Activities
Total Hours
Hours/week
Comments
__________________________________________________________________________________________________________________
Theoretical
and practical
Tutorial
guidance
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
Progress
assessment:
49
3,5
7
0,5
concrete structures (current structures)
Application of knowledge;
Make judgments / decisions;
Self-learning.
Acquire knowledge and understanding capacity in the field of reinforced concrete
structures, particularly at the level of design and manufacturing;
REBAP - Regulamento de Estruturas de Betão Armado e Pré-Esforçado (1983), DecretoLei n.º 349-C/83, de 30 de Julho;
EC2 - EN 1992-1-1 - “Eurocódigo 2: Projecto de estruturas de betão armado – Parte 1-1:
Regras gerais e regras para edifícios”;
CEB-FIP MODEL CODE 1990, Comité Euro-International du Béton, Lausanne, Suisse,
1990;
Leonhardt, F. - “Construções de Concreto” (do Volume 1 ao volume 4), Editora
Interciência, Lda., Rio de Janeiro, Brasil;
Elementos de apoio às aulas elaborados pelos docentes da disciplina – Betão Armado I.
Diapositivos apresentados nas aulas.
http://www.qsp.pt/
Cálculo prático de estruturas de betão armado – aços SD
Júlio Appleton – “Eurocódigo 2 – EN1992-1-1”
Júlio Appleton, Paulo França – “Implementação do Eurocódigo 2 – (EN1992-1) em
Júlio Appleton, António Costa, Paulo França – “Efeitos Estruturais da Deterioração em
João Saraiva, Júlio Appleton – “Avaliação da Capacidade Sísmica de Edifícios de Betão
Continuous assessment: students have to solve minor works proposed by the teacher
during the lessons.
1 final exam to be carried out during the period of the exams.
The approval requires the achievement of at least 9.5 in the final result.
__________________________________________________________________________________________________________________
Title
Hydraulics I
Scientific Area:
Civil Engineering (Hydraulics, Water Resources)
Course:
Codigo:
908925
Term/Semester: 2nd / 1st
ECTS:
5
Department:
Study plan:
1. FLUID PROPERTIES
1.1. Basic units
1.2. Properties involving the mass or weight of the fluid
1.3. Viscosity
1.4. Elasticity
1.5. Surface tension
1.6. Vapor pressure
2. FLUID STATICS
2.1. Pressure
2.2. Pressure variation with elevation
2.3. Pressure measurements
2.4. Hydrostatic forces on plane surfaces
2.5. Hydrostatic forces on curved surfaces
2.6. Buoyancy
3. FLUID KINEMATICS
3.1. Velocity and flow visualization
3.2. Rate of flow
3.3. Acceleration
3.4. Continuity equation
3.5. Laminar and turbulent flow
4. FLUID DYNAMICS
4.1. Bernoulli’s equation
4.2. Concept of the hydraulic and energy grade lines
4.3. Application of Bernoulli’s equation
4.4. Hydraulic power. Pumps and turbines
4.5. Rotation and vorticity
4.6. Separation and its effects on pressure variation
4.7. Boundary layer
5. MOMENTUN PRINCIPLE
5.1. The momentum equation
5.2. Applications of the momentum equation
6. DIMENSIONAL ANALYSIS AND SIMILITUDE
6.1. Dimensional analysis
__________________________________________________________________________________________________________________
6.2.
6.3.
6.4.
6.5.
The Buckingham theorem
Determination of terms
Common dimensionless numbers in hydraulics
Modeling and Similitude
6.5.1.Theory of models
6.5.2.Model scales
6.5.3.Some typical model studies
6.5.4.Distorted models
7. FLOW IN PIPES
7.1. Shear-stress distribution across a pipe section
7.2. Laminar flow in pipes
7.3. Criterion for laminar or turbulent flow in a pipe
7.4. Turbulent flow in pipes
Language
Type of
instruction:
Activities
Theoretical/
Practical
42
3
Laboratorial
7
0.5
Tutorial
guidance
7
0.5
Comments
Learning
objectives:
On successful completion of this module, students will have:
- The ability to identify a hydraulic problem;
- The ability to analyze and valuate hydraulic situations and to solve them by using
appropriate tools.
Generic
learning
outcomes and
competences:
On successful completion of this module, students will have developed a range
of generic skills spanning: hydraulic analysis; team work; numerical analysis; data analysis.
Bibliography:
HIDRÁULICA. A. Carvalho Quintela. Fundação Calouste Gulbenkian
HIDRÁULICA GERAL. Armando Lencastre. Edição do Autor
MECÂNICA DOS FLUIDOS. B. S. Massey. Fundação Calouste Gulbenkian.
MECÂNICA DOS FLUIDOS E HIDRÁULICA GERAL. J. Novais Barbosa. Porto editora HIDRÁULICA
GERAL. A. Manzanares. Editora AEIST
ENGINEERING FLUID MECHANICS. John A. Roberson, Clayton T. Crowe. John Wiley & Sons
FUNDAMENTALS OF FLUID MECHANICS. Bruce R. Munson, Donald F. Young, Theo-dore H.
__________________________________________________________________________________________________________________
Progress
assessment:
Okiishi. John Wiley & Sons
EXERCICES DE MÉCANIQUE DES FLUIDES. Michel A. Morel, Jean-Pierre Laborde. Eyrolles
Other assessment: laboratorial work; Other assessment: 10%
__________________________________________________________________________________________________________________
Title
FOUNDATIONS I
Scientific Area:
Civil engineering
Course:
Codigo:
908924
ECTS:
5.0
Department:
Study plan:
1. Earth forces
Introduction. State of stress at rest. Pressure coefficient at rest. Active and passive limit
equilibrium states. Rankine’s Method. Hypothesis and general formulation. Surcharges.
Stratified formations. Water level. Rankine’s Theory extended to cohesive soils. Rankine’s
Theory extended to soils with inclined surface. Consideration of soil-structure friction.
Boussinesq’s Theory. Caquot-Kérisel tables. Coulomb’s method. Coulomb’s active force.
Culmann’s resolution scheme. Coulomb’s passive force.
2. Earth retaining structures
Types of earth retaining structures. Rigid and flexible. Gravity walls. Massive and reinforced
construction. Concrete, masonry, gabion and crib walls. Cantilever, buttresses, pre-fabricated
and pre-stressed walls. Reinforced soil walls. Nailed soils. Reinforcement with geosynthetic
materials. Flexible walls. Steel sheets. Soldier pile walls. Berlin type walls. Diaphragm walls.
Pile walls. Hybrid walls. External stability of retaining walls. Safety. Classical methodology.
Eurocode 7. Overturning. Base sliding. Foundation collapse. Global slipping. Drainage. Wall
holes, perforated pipes, geosynthetic drains, sand filters, pumping. First approach to
dimensions.
3. Foundations
Definition and classification of foundations. Usual types of shallow foundations. Blocs,
isolated and continuous footings, mats. Selection of the adequate foundation. Foundation
soil failure. Generalized, localized and punching. Prandtl’s failure mechanism. Plastic failure
theories. Terzaghi and Meyerhof. Bearing capacity. Short and long term. Water level
influence. Plasticized zone in sands. Generalization of the formulation. Corrections due to
shape, deep and inclined forces. Eccentric loads. Safety. Ultimate and service load resistance.
Classic methodology. Global safety coefficients. Eurocode 7. Partial safety coefficients.
Settlements. Famous examples. Signs that indicate settlements. Methods for settlement
prediction. Rational and empirical. Types of settlements. Classification: movement, time and
profile. Structural and footing stiffness influence. Settlement evaluation. Immediate and
consolidation settlements. Skempton-Bjerrum correction. Creep. Allowable settlements.
Laboratorial parameters for settlement prediction.
4. Field tests for bearing capacity evaluation and settlement prediction of foundations
Penetration tests. Dynamic, SPT, CPT, CPTU, SCPTU. Load plate tests. Pressumeters of Ménard
and Cambridge self-boring. Marchetti dilatometer. Seismic analysis. Corrections. Correlations
with mechanical soil parameters. Drillings. Sampling.
5. Deep foundations
Objectives. Classification. Usage. Main types. Driven piles. Timber, steel and concrete. Bored
and cast in situ piles. Franki, Strauss, continuous auger and injected piles. Bearing capacity of
isolated piles. Formulation based on soil parameters. Shaft and end bearing capacities.
Terzaghi, Meyerhof, Berezantzev and Vesic. Methods based on SPT and CPT results. Dynamic
formulas. Negative skin friction. Design according to Eurocode 7. Horizontal loading.
__________________________________________________________________________________________________________________
Language
Type of
instruction:
Activities
Theoretical
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
Progress
assessment:
42
3
Comments
Practical:
7
Laboratorial and field tests
Tutorial
guidance
7
Technology and design of earth support structures and foundations.
Specific Competence: E18 - Analyse and design structures and geotechnical construction
works, namely: foundations, retaining structures, natural and constructed slopes,
geosynthetic usage.
Specific Competence: E30 - Recognize, diagnose and prevent structural pathologies in
constructions.
Bowles, J. E., Foundation Analysis and Design, 5th Ed., McGraw Hill
Brown, R. W., Practical Foundation Engineering Handbook, McGraw Hill
Coduto, D., Foundation Design, Principles and Practices, Prentice Hall
Coelho, Silvério, Tecnologia de Fundações, edições E.P.G.E.
Day, R. W., Geotechnical and Foundation Engineering, McGraw Hill
Matos Fernandes, M., Mecânica dos Solos II
Moreira, C., Dimensionamento de Muros de Suporte
Moreira, C., Estruturas Flexíveis de Contenção Periférica
Ordem dos Engenheiros, Recomendações na Área da Geotecnia
Velloso, D. et al., Fundações, volumes 1 e 2, COPPE-UFRJ
Written evaluation;
Laboratorial and bibliographical research group assignments; oral presentation.
__________________________________________________________________________________________________________________
Title
Analysis of Structures
Scientific Area:
Structural Mechanics and Structures
Course:
Codigo:
908923
ECTS:
5,0
Department:
Study plan:
Chapter 1– Introduction to the analysis of structures;
Objectives of Structural Analysis
Reviews about static, diagrams, and superposition-of-effects principle;
General hypothesis of the structure analysis;
Relations between tensions-deformations and forces-displacements;
Equilibrium relations.
Chapter 2– Energy methods
Introduction to Energy Theorems
Distortion energy and virtual work.
Elastic behaviour of structures: Theorem of Clapeyron, Theorem of Castigliano, Theorem
of Betti, Maxwell’s reciprocal theorem.
Theorem of virtual work
Displacements calculation using the theorem of virtual work, with Bonfim Barreiros
Method
Examples and application
Chapter 3 – Calculation of displacements in isostatic structures using the theorem of virtual work .
Calculation of tension diagrams and displacement in isostatic truss structures Calculation of tension diagrams and displacement in isostatic continuous structures
Relation between displacement section and tension section
Chapter 4 – Force method of analysis
Introduction and interpretation about the force method.
Structural hiperestaticity degree. Internal and external hiperestaticity.
Flexibility matrix which characterises the member's susceptibility to deform under forces
Vector of member's characteristic deformations caused by external effects applied to the
isolated
Relative importance of the bending part due to transversal moments and efforts.
Structures subject to the settlement of support and elastic support. Effect of temperature
variations in structures.
Final efforts in hyperstatic structures.
Chapter 5 – Displacement method of analysis.
The displacement method as strength method’s dual method.
Discussion of the minimum number of unknowns to consider in the base system set up.
Determination of the mobility degree of a structure with beams
__________________________________________________________________________________________________________________
Stiffness matrix of a beam
Vector of fixation forces caused by external effects
Direct formulation of the displacement method in the structure analysis.
Obtaining of configurations correspondent to null and unit displacement. Obtaining of an
equation system.
Determination of the final efforts.
Application of the displacement method in the case of structures with beams with
despicable axial deformability.
Matrix formulation of the method, and applications
Chapter 6 – Influence lines
Physical interpretation and notion of influence line. Example of application this concepts.
Determination of influence lines of reactions of support in isostatic structures.
Determination of influence lines of transversal efforts and bending moments in isostatic
structures.
Determination of efforts in structures by influence lines
Influence lines in hyperstatic structures.
Language
Type of
instruction:
Portuguese/ Tutorial support in English
Activities
Theoretical
0
0
Practical:
60
4
Tutorial
guidance
0
0
Comments
2 session / week
Learning
objectives:
Theoretical-practical classes: Presentation and discussion of all contents in theoretical classes along with
simple illustration problems. In theoretical-practical classes a set of application associated to theoretical
issues is proposed and discussed. Complementary exercises will be proposed and evaluated.
Generic
learning
outcomes and
competences:
Study of the behavior’s principles of reticulate structures and development of force and displacement
method to calculate them.
Study the influence line for statically determinate structures. Improvement of knowledge concerning
hyperstatical structures behavior in linear regime.
__________________________________________________________________________________________________________________
Bibliography:
Progress
assessment:
[1]
AZEVEDO, A. (1987) – Análise estática e dinâmica de estruturas de edifícios. Laboratório
Nacional de Engenharia Civil. Lisboa, 1987.
[2]
FLEMING, Jonh F. (1997) - Analysis of Structural Systems. Ed. Prentice Hall.
[3]
FREITAS, J. A. Teixeira (1980) – Simetria e anti-simetria, Teoria de Estruturas, Instituto Superior
Técnico; Lisboa.
[4]
FREITAS, J. A. Teixeira (1986) – Introdução ao Métodos dos deslocamentos, Teoria de
Estruturas, Instituto Superior Técnico. Lisboa.
[5]
FREY, F. (1990) – Analyse des structures et milieux continus: Statique Appliqué. Traité de Génie
Civil de l´École polytechnique fédérale de Lausanne, Lausanne, 1990.
[6]
GHALI, A; NEVILLE A. (1979) – Structural analysis: a unified classical and matrix approach.
Second Edition. Chapman and Hall. London. England. 1979.
[7]
GOUVEIA, J.P. (2007) – Mecânica Estrutural: apontamentos de apoio às aulas teóricas e práticas
de Estru-turas I, 06/07. DEC do Instituto Superior de Engenharia de Coimbra, Coimbra, 2007.
[8]
GUEDES, J.M. (2002) – Método dos deslocamentos, Departamento de Engenharia Civil,
Faculdade de Engenharia, Universidade do Porto, Porto.
[9]
IST (1997) – Tabelas de Análise de Estruturas. Secção de Folhas da Associação de Estudantes do
Instituto Superior Técnico, Lisboa, 1997.
[10]
LAURSEN, H.I. – Structural Analysis. McGraw-Hill.
[11]
NEGRÃO, J.H (1992) – Teoria de Estruturas I – Apontamentos práticos. Departamento de
Engenharia Civil da Faculdade de Ciências e Tecnologia da Universidade de Coimbra, Coimbra, 1992.
[12]
PEREIRA, E.M. (1994) – Análise de Estruturas I – Linhas de Influência. Secção de Folhas da Associação de Estudantes do Instituto Superior Técnico, Lisboa, 1994.
[13]
SILVA, V. Dias (1999) – Mecânica e resistência dos materiais. Departamento de Engenharia Civil
da Univer-sidade de Coimbra, Coimbra, 1999.
[14]
TADEU, A.; NEVES, L. e COELHO, P. (1992) – Teoria de Estruturas II. Departamento de
Engenharia Civil, FCTUC, Coimbra.
[15]
TIMOSHENKO, S. e GERE, J. (1983) – Mecânica dos Sólidos. Volumes I e II. Livros Técnicos e
Científicos
Students’ assessment will be based on a final exam. However, students can also carry out three
exercises that will be taken into account on the final mark. These exercises are supposed to be done
autonomously. Students can also choose to perform a presentation related to structural analysis:
Alternative 1 - Regular, Student Worker (Final)
Exercise development - 25%
Final Written Exam - 75%
Alternative 2 - (Regular, Student Worker) (Supplementary, Special)
Final Written Exam - 100%
__________________________________________________________________________________________________________________
Title
Mechanics of materials II
Scientific Area:
Course:
Codigo:
908922
ECTS:
5,0
Department:
Study plan:
Civil Engineering
1. Elastic bending in statically determinate structures; evaluation of deformations; composite
actions; bending and axial forces.
2. Twisting actions.
3. Shear.
Language
Type of
instruction:
Activities
Theoretical
Learning
objectives:
49,0
3,5
Practical:
0
0
Tutorial
guidance
7,0
0,5
Comments
This subject deals with the analysis of stresses and strains in solid deformable
bodies subjected to combined axial, bending, shear and twisting actions. The aim of this
course is to provide a basic understanding of the physical behaviour of structural elements and
to give familiarity with the methods required to analyse them.
__________________________________________________________________________________________________________________
Generic
learning
outcomes and
competences:
At the end of this half-module the student should be able to calculate the stresses, strains, and
displacements of a number of commonly used structural elements which are assumed to
deform elastically. Such skills form an essential component of civil engineering design.
Bibliography:
Frey F. Analyse des strucutres et millieux continus – Statique appliqué. Traité de Génie Civil de
l’École polytechnique fédérale de Lausanne, Vol. 1, Presses polytechniques et universitaires
romandes, 1994.
Frey F. Analyse des strucutres et millieux continus – Mécanique des structures. Traité de Génie
Civil de l’École polytechnique fédérale de Lausanne, Vol. 2, Presses polytechniques et
universitaires romandes, 1994.
Branco CAGM. Mecânica dos materiais. Fundação calouste Gulbenkian, 1985.
Beer FP e Johnston Jr ER. Resistência dos materiais. McGraw-Hill, 1989.
Massonet C e Cescotto S. Mécanique des matériaux. Biblioteque des Universités – Genie Civil,
De Boeck-Wesmael, 1994.
Dias da Silva V. Mecânica e resistência dos materiais. Zuari – edição de livros técnicos Lda.,
1999.
Progress
assessment:
Final exam.
__________________________________________________________________________________________________________________
Title
Soil Mechanics
Scientific Area:
Civil Engineering
Course:
Codigo:
908921
ECTS:
5,0
Department:
Study plan:
Language
Type of
instruction:
1. Soil water. Pore water pressure (u). Bernoulli´s theorem applied to pore water.
Permeability. Darcy´s law. Coefficient of permeability (k). Determination of k
(Laboratory methods).
2. In situ stresses due to the self-weigt of soil. Principle of effective stress. Total normal
stress ( ), effective normal stress ( ’) and pore water pressure. Coefficient of earth at
rest (k0). In situ stresses in due to surface loads. Boussinesq´s theory. Bulb of pressure.
3. Compressibility and consolidation.The oedometer test. Consolitation settlement.
Terzaghi´s theory of one-dimensional consolidation. Vertical drains.
4. Shear strength. The Mohr-Coulomb Failure criterion oo and the Tresca Shear strength
tests: the Direct shear test, the Triaxial test and the Vane shear test. Shear strength of
sands and saturated clays. Pore pressure coefficients
Activities
Theoretical
Learning
objectives:
Comments
42
3
Theoretical concepts and Exercises
Practical:
7
0,5
Laboratory tests
Tutorial
guidance
7
0,5
Knowledge of the concepts related to the soil’s characteristics, its strength and
compressibility.
Calculation of soil stresses after construction; calculation of consolidation settlements.
Use of the suitable design shear strength parameters.
To contact with common soil tests: permeability, compressibility and shear strength
Generic
learning
outcomes and
competences:
Ability for acquisition and application of knowledge, and for solving problems
Ability for individual work and for working in groups.
To know basic and mechanical characteristics of soils and appropriate tests to characterize
them
To develop critical thinking related to the appropriate soils in civil engeneering works
Bibliography:
Cruz, Filomena: “Apontamentos de Mecânica dos Solos”, ISEC, 2007
__________________________________________________________________________________________________________________
Progress
assessment:
Fernandes, M. Matos: “Mecânica dos Solos, vol 1”, FEUP
Craig, R.F. “Soil Mechanics” ed. VNR International
Lambe & Whitman:”“Soil Mechanics – SI version”
Test reports (Oedometer test and Direct Shear test) and oral discuss by groups of 2 or 3
students (20% of the final mark, )
Optional: written test with practical exercises at the middle of the term (20% of final the final
mark)
Exam – written test at the end of the term, with theoretical questions and practical exercises
(80% or 60% of the final mark).
ISEC, Janeiro 2010
Filomena Cruz
Degree in Civil Engineering
Course Unit Description
__________________________________________________________________________________________________________________
Title
Numerical methods (908912)
Scientific Area:
Mathematics
Course:
Civil Engineering
Code:
908912
Term/Semester: 2nd year / 1st semester
ECTS:
5
Department:
Instructor:
Study plan:
João Ricardo de Oliveira Branco
1. Theory of errors (brief remarks).
2. Roots of nonlinear equations.
- Introduction.
- Location of roots. Graphical method and Bolzano’s theorem.
- Bisection and Newton’s methods. Error. Stopping criteria.
- Computational aspects using Matlab.
- Applications to Civil Engineering.
3. Polynomial interpolation.
- Introduction.
- Uniqueness of the interpolating polynomial.
- Interpolating polynomial: Lagrange’s and Newton’s forms. Interpolation error.
- Inverse polynomial interpolation.
4. Numerical integration.
- Introduction.
- Trapezoidal and Simpson’s rules. Errors.
5. Numerical integration of ordinary differential problems of first order initial value.
- Introduction.
- Euler’s and second order Runge-Kutta’s methods. Errors.
6. Iterative methods for solving linear systems.
- Introduction.
- Jacobi’s and Gauss-Seidel’s methods.
Language
Type of
instruction:
Portuguese
Activities
Comments
Theoretical
Practical:
49
3.5
Theoretical and practical classes
Tutorial
guidance
7
0.5
Laboratory classes (using Matlab)
Degree in Civil Engineering
__________________________________________________________________________________________________________________
Learning
objectives:
 Perform basic concepts or theory of errors.
 Understand and apply concepts related to the resolution of nonlinear equations,
interpolation estimation, numerical integration, resolution of differential initial value problems
and the resolution of linear systems.
Generic
learning
outcomes and
competences:
Bibliography:
Progress
assessment:
 Develop the ability to use numerical methods to solve problems.
 Develop the ability to analyze problems, to choice of the most effective numerical methods
and interpret results.
 Computational implementation of the studied algorithms using Matlab.
 Understand the role of numerical methods in Civil Engineering field.
- S. C. Chapra, R. P. Canale, Numerical Methods for Engineers, McGraw-Hill, fifth edition, 2006.
- J. R. Branco, Numerical Methods – Slides (English version) - Civil Engineering 2014/2015 –
DFM/ISEC, 2014.
- J. R. Branco, Numerical Methods – Exercise book (English version) - Civil Engineering 2014/2015
– DFM/ISEC, 2014.
- J. R. Branco, Numerical Methods – Matlab exercises (English version) - Civil Engineering
2014/2015 – DFM/ISEC, 2014.
Assessment can be done in two ways, chosen by the student:
Distributed assessment:
Three exercises using Matlab, on laboratory classes (10% each exercise) + written exam, in the
last class of the semester (70%).
Final assessment:
- Three exercises using Matlab, on laboratory classes (10% each exercise) + written exam, in
regular or appeal season (70%)
or
- Exam using Matlab (30%) + written exam (70%), both in regular or appeal season.
__________________________________________________________________________________________________________________
Title
Housing II
Scientific Area:
Civil Engineering
Course:
Codigo:
908920
ECTS:
5
Department:
Study plan:
1. Water distribution nets of buildings
2. Domestic residual water draining nets of buildings
3. Formworks
4. Lintels
5. Construction technology
Language
Portuguese /tutorial support in English
Type of
instruction:
Activities
Theoretical/
Pratical:
49
3,5
7
0,5
Comments
Practical:
Tutorial
guidance
Learning
objectives:
Transmit the knowledge on the main components of the buildings and its construction
processes.
Generic
learning
outcomes and
competences:
Bibliography:
Selecting abilities and constructive solutions that assure efficient buildings energy, presenting
good conditions acoustics, of illumination, natural ventilation and waterproofing. Regulations
and the national norms.
Executing buildings nets projects.
Ferreira, Rui, “Sebenta da disciplina”, ISEC.
Pedroso, Vítor M. R., “Manual dos sistemas prediais de distribuição e drenagem de águas”,
LNEC
Regulamento geral dos sistemas públicos e prediais de distribuição de águas e de drenagem de
águas residuais (RGSPPDADAR)
Manual de alvenaria do tijolo, CTCV
Alves, Sérgio; Sousa, Hipólito, “Paredes exteriores de edifícios em pano simples”, Lidel
Manual de aplicação de telhas cerâmicas, CTCV
Paredes de edifícios, LNEC
The final result is the result of final examination.
Evaluation with continuous evaluation component:
Progress
assessment:
__________________________________________________________________________________________________________________
Final result = 0,75 examination result + 0,25 continuous evaluation
Continuous evaluation = 0 for all pupil who will have less than 75% of presences in the lessons.
__________________________________________________________________________________________________________________
Subject Title:
Economics and Management
Scientific Area:
Industrial Engineering and Management
Course:
Civil Engineering
Code:
908930
Year/Semester:
2/2
ECTS:
5
Department:
Civil Engineering
Instructor:
Study plan:
José Luís Ferreira Martinho
1. Introduction to economics: Concepts, problems and basic principles of economics. Axioms,
assumptions and models in economics. Microeconomics and macroeconomics.
2. Basics of microeconomics: Demand and buyer behaviour. Supply and seller behaviour.
Elasticity. Market structures. Government policies.
3. Basics of macroeconomics: economic activity measurement. Consumption, Saving and
Investment. Inflation. International trade. Portugal and worldwide economy.
4. Introduction to management: Organizations and management. Organizational resources.
Management cycle and managers roles.
5. Basics of Marketing: basic concepts. Marketing-mix. Marketing positioning and strategy.
6. Basics of Human resource management and organizational behaviour: Motivation and
leadership. Communication.
7. Basics of Finance: Financial statements and analysis.
Portuguese
Language:
Type of
instruction:
Activities
Theoretical
28
2
TheoreticalPractical
28
2
Comments
Practical
Tutorial
guidance
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
Understand the basics of economics and management to be able to collect, select and
interpret relevant information in the field.
Generic competences: Application of knowledge and understanding. Judgment and decision
making. Communication.
Specific competences: Understand the basics of the economics. Understand and interpret the
behavior of demand and supply. Understand the functioning of the economy as a whole.
Analyze the environment of businesses and the main marketing options. Understand the
importance of human resources in organizations and the main theories of leadership and
motivation. Understand and interpret the financial statements of a company and the main
financial ratios.
Mankiw, N. Gregory. Principles of Economics. Thomson Learning, 2005
Samuelson & Nordhaus. Economia. 14ª Edição, McGraw-Hill, Lisboa, 1998
Teixeira, Sebastião. Gestão das Organizações. Mc Graw Hill, 2001.
Dessler, Gary. Management. Prentice Hall, 2000.
__________________________________________________________________________________________________________________
Progress
assessment:
Robbins & Coulter. Management. Prentice Hall, 2001.
Dionísio, Lendrevie & Lindon. Mercator 2000 - Teoria e prática do Marketing. Publicações Dom
Quixote, 2000.
Neves, João Carvalho. Análise Financeira: métodos e técnicas, Texto Editora, 2000.
Fernandes, R. F.. Contabilidade para não contabilistas. Almedina, 2ª ed, 2008.
Menezes, H. Caldeira. Princípios de gestão financeira, Editorial Presença, 1999.
Brealey & Myers. Principles of Corporate Finance. Mc Graw Hill, 1999.
Evaluation: Two tests during the semester or a final exam, with a theoretical and a problem
solving part.
__________________________________________________________________________________________________________________
Title
Mechanics of materials I
Scientific Area:
Course:
Codigo:
908919
ECTS:
5,0
Department:
Civil Engineering
Study plan:
1. Stress and strain: basic notions. Equivalence between internal forces and stresses in solid
deformable bodies.
2. Linear elasticity: constitutive laws; fundamental problems in elasticity type problems.
3. Tension and compression in statically determinate structures; evaluation of stresses and
deformations; thermal stresses; composite actions.
4. Shear connections.
5. Elastic bending in statically determinate structures; evaluation of stresses; composite
actions.
Language
Type of
instruction:
Activities
Theoretical
Learning
objectives:
49,0
3,5
Practical:
0
0
Tutorial
guidance
7,0
0,5
Comments
This subject deals with the analysis of stresses and strains in solid deformable
bodies subjected to axial forces and bending actions. The aim of this course is to provide the
concepts of stress and strain in two and three dimensions, linear elasticity,
Hooke’s law and a basic understanding of the physical behaviour of structural elements and to
give familiarity with the methods required to analyse them.
__________________________________________________________________________________________________________________
Generic
learning
outcomes and
competences:
At the end of this half-module the student should be able to calculate the stresses and strains
in a number of commonly used structural elements which are assumed to deform elastically.
Such skills form an essential component of civil engineering design.
Bibliography:
Frey F. Analyse des strucutres et millieux continus – Statique appliqué. Traité de Génie Civil de
l’École polytechnique fédérale de Lausanne, Vol. 1, Presses polytechniques et universitaires
romandes, 1994.
Frey F. Analyse des strucutres et millieux continus – Mécanique des structures. Traité de Génie
Civil de l’École polytechnique fédérale de Lausanne, Vol. 2, Presses polytechniques et
universitaires romandes, 1994.
Branco CAGM. Mecânica dos materiais. Fundação calouste Gulbenkian, 1985.
Beer FP e Johnston Jr ER. Resistência dos materiais. McGraw-Hill, 1989.
Massonet C e Cescotto S. Mécanique des matériaux. Biblioteque des Universités – Genie Civil,
De Boeck-Wesmael, 1994.
Dias da Silva V. Mecânica e resistência dos materiais. Zuari – edição de livros técnicos Lda.,
1999.
Progress
assessment:
Final exam.
__________________________________________________________________________________________________________________
Title
Geotechnics
Scientific Area:
Civil Engineering
Course:
Codigo:
908918
ECTS:
5,0
Department:
Study plan:
Language
Type of
instruction:
Learning
objectives:
1. Rock analysis and classification.
Composition of the Earth. Rock- forming minerals. Rock groups: igneous, sedimentary
and metamorphic rocks. Mechanical and chemical weathering. Geotechnical
classification of rock weathering according to ISRM. Geological structures. Dip, strike
and other physical properties of geological structures. Rock geomechanical
parameters. ISRM Classification and Bieniawski Geotechnical Classification.
2. Soil analysis and classification.
Basic characteristics of soils. The nature of soils. Particle size analysis. Plasticity of finegrained soils. Soil description and classification. ASTM D 2487-85 Soil Classification and
E-240 “Classificação de solos para fins rodoviários”.
3. In-situ Investigations.
Desk study. Field reconnaissance. Excavations and bore-hole drilling. Geophisical
surveys: seismic methods, electrical resistivity and conductivity methods, ground
penetrating radar method, magnetometry and gravity methods. Sampling .
Activities
Comments
Theoretical
35
2,5
Theoretical concepts and Exercises
Practical:
14
1
Laboratory tests
Tutorial
guidance
7
0,5
Knowledge of different types of rocks and soils.
To carry out basic soil tests.
Knowledge of main methods of in-situ investigations.
Generic
learning
outcomes and
competences:
Ability for acquisition and application of knowledge and for solving problems.
Ability for individual work and for working in groups.
To know basic characteristics of soils and appropriate tests to characterize them.
__________________________________________________________________________________________________________________
Bibliography:
Cruz, F. & Mendes, V.: “Apontamentos de Introdução à Geotecnia”, ISEC, 2007
Costa, J. Botelho - "Estudo e classificação das rochas por exame macroscópico", Fund. C.
Gulbenkian
Vallejo, L. – “Ingeniería Geológica”, ed. Pearson
Blyth,F. - "A Geology for Engineers", ed. Edward Arnold
Correia, A. Gomes – “Ensaios para controlo de terraplanagens”, LNEC
Fernandes, M. Matos: "Mecânica dos Solos -vol. 1", FEUP
Folque, J.: "Introdução à Mecânica dos Solos", LNEC
Vargas, M.: "Introdução à Mecânica dos Solos", ed. McGraw-Hill
Craig, R. F.: "Soil Mechanics", ed. VNR International
Progress
assessment:
Test reports (Moisture content, specific gravity of solid particles, unit weight of soil, particle
size analysis and Atterberg limits) and oral discussion by groups of 2 or 3 students (25% of the
final mark )
Optional: written test with practical exercises at the middle of the term (15% of the final mark)
Exam – written test at the end of the term, with theoretical questions and practical exercises
(75% or 60% of the final mark).
ISEC, Janeiro 2010
Vítor Mendes
__________________________________________________________________________________________________________________
Title
Housing I
Scientific Area:
Civil Engineering
Course:
Codigo:
908917
ECTS:
5
Department:
Study plan:
1. Functional requirements in buildings;
2. Thermal behaviour in buildings;
3. Acoustic behaviour in buildings
Language
Type of
instruction:
Activities
Theoretical/
Pratical:
49
3,5
7
0,5
Comments
Practical:
Tutorial
guidance
Learning
objectives:
Analysis and study of the thermal and acoustic behavior in buildings.
Generic
learning
outcomes and
competences:
Bibliography:
Selecting abilities and constructive solutions that assure efficient buildings energy, presenting
good conditions acoustics, of illumination, natural ventilation and waterproofing. Regulations
and the national norms.
Executing thermal and acoustics behavior projects.
Piedade, A. C. Canha da, “Exigências humanas e funcionais nas edificações”, IST
Regulamento geral das edificações urbanas (RGEU)
Henriques, Fernando «Humidade em paredes» LNEC, 1994
Viegas, João C. «Ventilação natural de edifícios de habitação» LNEC, 1995.
Santos, Carlos e Matias, Luís, “Coeficientes de transmissão térmica de elementos da
envolvente dos edifícios”, ITE 50, LNEC
Regulamento das características de comportamento térmico dos edifícios (RCCTE)
Patrício, Jorge “Acústica nos edifícios”, Verlag Dashofer
Regulamento geral do ruído (RGR)
Regulamento dos Requisitos Acústicos dos Edifícios (RRAE)
Evaluation without continuous evaluation component:
The final result is the result of final examination.
Progress
assessment:
__________________________________________________________________________________________________________________
Evaluation with continuous evaluation component:
Final result = 0,75 examination result + 0,25 continuous evaluation
Continuous evaluation = 0 for all pupil who will have less than 75% of presences in the lessons.
__________________________________________________________________________________________________________________
Title
Surveying
Scientific Area:
Interdisciplinary
Course:
Codigo:
908916
ECTS:
5
Department:
Study plan:
Introduction to geodetic basic definition. Coordinates Systems.
Angles measurement, horizontal and vertical angles. Theodolite, sources of errors.
Distance measurement-direct and indirect measurements electronic distance measurement,
Use of total station.
Plane surveying: irradiation, triangulation, traverses.
Leveling – trigonometric leveling and direct leveling.
Introduction to Global Positioning Systems.
Language
Type of
instruction:
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
Progress
assessment:
Activities
Comments
Theoretical
practice:
30
2
Lecture method; troubleshooting
Laboratory
practice:
22,5
1,5
Experimental work; group learning
Tutorial
guidance
7,5
0,5
Skills methodology; group learning
Knowing the theoretical and practical concepts of cartography and topography
Know and use instruments to perform topographic surveys and implementation of points on
the ground
Gonçalves, José A.; Madeira, Sérgio; Sousa, J. João; Topografia Conceitos e Aplicações; Lidel
2008
Casaca, J.; Matos,J ; Baio, M. - Topografia Geral; Lidel Lisboa 2000
Gaspar, J. A.; Dicionário de Ciências Cartográficas; Lidel 2004
Gaspar, J. A.; Cartas e Projecções Cartográficas; Lidel 2002
75% Exam + 25% Practical work group
__________________________________________________________________________________________________________________
Title
Technical Drawing
Scientific Area:
Civil Engineering - Construction
Course:
Codigo:
908907
ECTS:
5,0
Department:
Study plan:
Language
Type of
instruction:
Drawing details of construction techniques
Activities
Comments
Theoretical
28
2
Resolution of problems; Practical
learning using projects as
instrumental purpose.
Practical:
28
2
Practical learning using projects as
7
0,5
Group Learning; Practical learning
using projects as instrumental
purpose.
Tutorial
guidance
Learning
objectives:
E1: Constructive drill drawing
E2: Knowledge of technological and constructive aspects
E3: Materials characterization
Generic
learning
outcomes and
competences:
Detailed scales representation, particularly in the definition of artwork, symbology,
construction materials and processes.
The themes to develop are as follows:
Construction techniques
Structural systems: Sub-structure; Super-structure; Spatial approach; operating systems
Slabs: floors and ceilings
Outside of the building envelope: links and coverage
Communication: vertical and horizontal movements
Doors and Windows
Construction materials
General properties
Classification and characterisation
Possibilities of application.
Work methodology
The construction and adequacy of constructive solutions.
__________________________________________________________________________________________________________________
Formal expression and graphical representation.
Written communication elements and drawn.
Stops working and communication.
Standards and conventions.
Expressiveness and correction.
Learn the theory and practice concerning production project design of reinforced concrete
structures: current structures
Learn the practical and theoretical bases on the design of steel structures, wooden masonry post
Bibliography:
Progress
assessment:
ARQUITECTURA POPULAR EM PORTUGAL Vol: 1,2,3 – Sindicato Nacional dos Arquitectos
CECCARINI , IVO (1993) - A COMPOSIÇÃO DA CASA, Editorial Presença, Lisboa
CELARAÍN, JOSÉ SANCHEZ-BLANCO, (1975) – DETALLES ARQUITECTÓNICOS MODERNOS, Ed. Gustavi Gili,
Barcelona
CUNHA , LUIS VEIGA DA (1991), - DESENHO TÉCNICO, 8ª Ed. Fundação Calouste Gulbenkian, Lisboa
MANUAL DE APLICAÇÃO DE TELHAS CERÂMICAS, Centro Tecnológico Cerâmica e do Vidro, Instituto da
Construção
MANUAL DE APLICAÇÃO DE ALVENARIAS DE TIJOLO, Centro Tecnológico Cerâmica e do Vidro, Instituto
da Construção
MANUAL DE APLICAÇÃO DE REVESTIMENTOS CERÂMICOS, Centro Tecnológico Cerâmica e do Vidro,
Instituto da Construção
MASCARENHAS, JORGE (2006) - SISTEMAS DE CONSTRUÇÃO, VOLUME I, 5ª Ed., Livros horizonte
MASCARENHAS, JORGE (2007) - SISTEMAS DE CONSTRUÇÃO VOLUME II, 5ª Ed., Livros horizonte
NETO, PEDRO LEÃO (1999), Autocad 2000, FCA – Editora Informática, Lisboa
AUTOCAD MANUAL, Autodesk
NEUFERT, ERNEST (1981) - A ARTE DE PROJECTAR EM ARQUITECTURA, Editora Gustavo Gili, São Paulo
NORMAS PORTUGUESAS DE DESENHO TÉCNICO, - NP-62, 1961; NP-89, 1963; NP-49, 1968; NP-327,
1964;
NP-671, 1973; NP-297, 1963; NP-328, 1964; NP-167, 1966; NP-716, 1968; NP-204, 1968; NP-718, 1968;
REGULAMENTO GERAL EDIFICAÇÕES URBANAS,- Imprensa Nacional - Casa da Moeda, Lisboa
REGULAMENTO GERAL DAS ESTRUTURAS DE BETÃO ARMADO,- Imprensa Nacional - Casa da Moeda, Lisboa
SCHMITT, HEIRICH, - TRATADO DE CONSTRUCCION, Ed. Gustavi Gili, Barcelona
TECTONICA, MONOGRAFIAS DE ARQUITECTURA, TECNOLOGIA y CONSTRUCCION, Ed. ATC Ediciones, S.L.
TEXTOS E FICHAS DE APOIO, ISEC, (docentes João Fernandes Silva e Paulo Antunes)
For practical work evaluation throughout the semester.
__________________________________________________________________________________________________________________
Title
Computer – Aided Design Drawing
Scientific Area:
Civil Engineering -Constructions
Course:
Codigo:
908904
Term/Semester: 1st /1ST
ECTS:
4,0
Department:
Study plan:
Concepts and methodology of drawing representation in civil construction project
Computer-aided design
Language
Type of
instruction:
Learning
objectives:
Portuguese /Tutorial support in English
Activities
Comments
Theoretical
21
1,5
Resolution of problems; Practical
learning using projects as
Practical:
14
1
Practical learning using projects as
Tutorial
guidance
7
0,5
Group Learning; Practical learning
using projects as instrumental
purpose.
E1: visualize and interpret tridimensional drawing pieces.
E2: knowing the concepts and methodologies of project pieces representation, translate
graphical details and constructive materials .
E3: using specific technical drawing software, to learn to generate and manipulate
bidimensional drawing.
Generic
learning
outcomes and
competences:
Develop capacities of technical drawing representation, in respect of elementary principals of
construction, typologies and dimensions.
Matters seeks to develop the following chapters:
Chapter_1 – REPRESENTATION OF VIEWS – NP327
Chapter_2 – CUTS AND SECTIONS – NP328
Chapter_3 – IMPERSONATION SCALES – NP717
Chapter_4 – SUBTITLING – NP204
Chapter_5 – DIMENSIONS – NP297
Chapter_6 – FORMATS FILE PAPERS – NP12
Chapter_8 – ORTHOGONAL PROJECTION
Chapter_9 – AXONOMÉTRIC REPRESENTATION
Introduction and development of concepts and techniques of computer-aided design – CAD.
__________________________________________________________________________________________________________________
Bibliography:
Progress
assessment:
CECCARINI , IVO (1993) - A COMPOSIÇÃO DA CASA, Editorial Presença, Lisboa
CUNHA , LUIS VEIGA DA (1991), - DESENHO TÉCNICO, 14ª Ed. Fundação Calouste Gulbenkian, Lisboa
AUTOCAD MANUAL , Autodesk
MORAIS, SIMÕES (1987) - DESENHO DE CONSTRUÇÕES, 1º Vol. Desenho Básico, 19ª Ed., Porto Editora
NEUFERT, ERNEST (1981) - A ARTE DE PROJECTAR EM ARQUITECTURA, Editora Gustavo Gili, São Paulo
NETO, PEDRO LEÃO (1999), Autocad 2002, FCA – Editora Informática, Lisboa
NORMAS PORTUGUESAS DE DESENHO TÉCNICO, - NP-62, 1961; NP-89, 1963; NP-49, 1968; NP-327, 1964;
NP-671, 1973; NP-297, 1963; NP-328, 1964; NP-167, 1966; NP-716, 1968; NP-204, 1968; NP-718, 1968;
PORTAS, NUNO (1969) – FUNÇÕES E EXIGÊNCIAS DE ÁREAS DA HABITAÇÃO, Lnec, Lisboa
REGULAMENTO GERAL EDIFICAÇÕES URBANAS,- Imprensa Nacional - Casa da Moeda, Lisboa
REGULAMENTO GERAL DAS ESTRUTURAS DE BETÃO ARMADO,- Imprensa Nacional - Casa da Moeda, Lisboa
TEXTOS E FICHAS DE APOIO, ISEC, (docentes: João Fernandes Silva e Paulo Antunes)
For practical work evaluation throughout the semester.
P a g e | iii
ECTS CATALOGUE
Master – Civil Engineering Course
Code
Title - Portuguese
1.º ano / 1st Year
667301
Matemática Aplicada à Engenharia I
667302
Tecnologias da Envolvente dos Edíficios
667306
Betão Estrutural
667303
Contenções Periféricas
Construção Prefabricada de Aço, de Betão
667304
e de Madeira
667305
Sustentabilidade e Reabilitação Urbana
667310
Hidráulica Urbana
667312
Conservação de Vias de Comunicação
667308
Projecto em Espaço Urbano
667309
Física dos Edifícios
667311
Avaliação de Projetos na Construção
667307
Matemática Aplicada à Engenharia II
Title - English
Applied Mathematics for Engineering I
Building Envelope Technology
Structural Reinforced Concrete
Flexible Retaining Strucures
ECTS
Duração
3.5
5
5.5
5.5
1st
1st
1st
1st
5.5
1st Semester
5
5.5
5.5
5
5.5
5
Applied Mathematics for Engineering II 3.5
1st Semester
2nd Semester
2nd Semestre
2nd Semestre
2nd Semestre
2nd Semestre
2ndSemestre
Rehabilitation and Strengthening of
Buildings
5
1st Semester
5
5
5
5
45
1st Semester
1st Semester
1st Semester
1st Semester
Anual
Urban Hydraulics
Highways Planning and Management
Urban Space Design
Semester
Semester
Semester
Semester
2.º ano / 2nd Year
667313* Reabilitação e Reforço de Edifícios
667314*
667315*
667316*
667317*
667318*

Patologias de Inspeção e diagnóstico
Instalações de Tratamento
Instalações Hidráulicas em Edifícios
Gestão Viária Urbana
Dissertação/Projecto/Estágio
Hydraulic Installations in Buildings
Thesis/ Professional Stage
Optional Subject s (conditioned to the number of enrolled students)
Subjects taught in English (minimum of 4 students required)
Portuguese Course*
At Computer Science Department
Code
977048
Title - Portuguese
Língua e Cultura Portuguesa
Title – English
Portuguese Language and Culture
ECTS
6
* The level of the Course might change depending on the student’s language knowledge.
Period
1st Semester
MSc in Civil Engineering – Urban Construction
__________________________________________________________________________________________________________________
Subject Title:
Urban Road Management
Scientific Area:
Civil Engineering – Territory and Transportation
Course:
Master’s Degree in Civil Engineering
Code:
667317
Year/Semester:
2nd year / 1st semester
ECTS:
5
Department:
Civil Engineering
Instructor:
Study plan:
Mário Martins
Management of urban road networks: functions of urban streets, implementation of a road
hierarchy and intersections hierarchy, applicability and influence of the spatial organization of
cities, implementation problems; Intersections as critical points of a road network.
Stop controlled intersections: geometric design, data and capacity evaluation; Roundabouts:
applicability, geometric design and capacity evaluation; Signalized isolated intersections:
solutions, operational meaning of times, saturation flow rate, capacity, phase choice, conflict
treatments, pretimed and actuated solutions;
Interventions in the road infrastructure in urban areas as a way to correct of accident prone
situations, by means of traffic calming or pedestrian friendly measures.
Portuguese
Language:
Type of
instruction:
Activities
Comments
Theoretical
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
2.5
35
Practical
0.5
7
Tutorial
guidance
1
14
To study the performance and geometric design of the most common at-grade road
intersections in urban environment: stop controlled, roundabouts and signalized intersections.
Analyze several aspects on defining a road hierarchy as well as intersections hierarchy.
Address most common issues regarding specific safety problems is urban environment.
Being able to analyze the fundamental aspects of urban road management, necessary for the
resolution of performance and safety related problems in urban road networks.
Competences: Judgment accomplishment; Decision making; Self learning;
 Seco, A.J.M., Antunes, A.J.P., Costa, A.H.P. e Silva, A.M.B.: “Princípios Básicos de Organização
de Redes Viárias” – Manual de Planeamento das Acessibilidades e da Gestão Viária – CCDRN, Dezembro de 2008.
 Silva, A.M.B., Seco, A.J.M. e Macedo J.M.G.: “C
Cruzamentos Prioritários e de Prioridade à
Direita” – Manual de Planeamento das Acessibilidades e da Gestão Viária – CCDR-N,
Dezembro de 2008.
 Silva, A.M.B. e Seco, A.J.M.: “Rotundas” – Manual de Planeamento das Acessibilidades e da
Gestão Viária – CCDR-N, Dezembro de 2008.
 Costa, A.H.P., Seco, A.J.M. e Vasconcelos, A.L.P.: “Sinais Luminosos” – Manual de
__________________________________________________________________________________________________________________
Planeamento das Acessibilidades e da Gestão Viária – CCDR-N, Dezembro de 2008.
 Seco, A.J.M., Ferreira, S.M.P., Silva, A.M.B. e Costa, A.H.P.: “Segurança Rodoviária” – Manual
de Planeamento das Acessibilidades e da Gestão Viária – CCDR-N, Dezembro de 2008.
 Marques, J.M.S.: ”Engenharia de Segurança Rodoviária em Áreas Urbanas – Recomendações
e Boas Práticas” – Prevenção Rodoviária Portuguesa, 2005
 T.R.B.: “Highway Capacity Manual – Special Report 209”, Transportation Research Board,
Washington D. C., 2000.
Progress
assessment:
Students are assessed through a Final Exam and a Practical Work. The written Exam covers the
subjects from the theoretical-practical classes, and is valued 12/20 of the final grade. The
Practical Work is carried out throughout the semester, in groups of 2 students, being
supervised during the semester, and is valued 8/20 of the final grade.
__________________________________________________________________________________________________________________
Title
Hydraulic Installations In Buildings
Scientific Area:
Civil Engineering
Course:
Master Degree in Civil Engineering
Code:
667316
Term/Semester: 2nd Year/1st Semester
ECTS:
5
Department:
Instructor:
Pedro Nuno Madeira Afonso
Study plan:
1. INTRODUCTION
2. NORMS AND REGULATIONS
3. HOT AND COLD WATER DISTRIBUTION
4. HOT WATER PRODUCTION AND RETURN CIRCUITS
5. WASTEWATER DRAINAGE
6. RAINWATER DRAINAGE
7. WATER AND WASTEWATER PUMPING STATIONS
8. FIRE FIGHT AND EMERGENCY FACILITIES
9. SANITARY EQUIPMENT
10. LOCAL WATER TREATMENT SYSTEMS
11 LOCAL WATEWATER TREATMENT SYSTEMS
Language
Type of
instruction:
Portuguese
Activities
Theoretical/
Practical
Tutorial
guidance
Total Hours
Hours/week
42
3
7
0.5
Comments
__________________________________________________________________________________________________________________
Learning
objectives:
The course contents cover the various components of the plumbing in buildings with
the following objectives: 1) characterize the structure and operation of each facility; 2)
set standards for its design; 3) define best building practices; 4) develop best
exploration practices.
On successful completion of this module, students will have acquired knowledge about the
constitution, the design, sizing, implementation, operation and rehabilitation of water
distribution and domestic wastewater and rainwater drainage, in ordinary and special
buildings, including complementary facilities.
Generic
learning
outcomes and
competences:
On successful completion of this module, students will have developed a range of generic skills
spanning: the various components of the plumbing in buildings; communication skills
required for multi-disciplinary civil engineering objectives.
Bibliography:

Progress
assessment:
Creder, Hélio “Instalações Hidráulicas e Sanitárias”, Livros Técnicos e Científicos
Editora, 5ª.edição
 Grundfos Portugal. “Manual de Engenharia Sistemas de Pressurização”.
 Hall, F. “Manual de Redes de Águas e Esgotos – Instalação e Conservação”, Edições
CETOP, 3ª. edição
 Macintyre, Archibald “Manual de Instalações Hidráulicas e Sanitárias” Editora
Guanabara
 Macintyre, Archibald Joseph. “Bombas e instalações de bombeamento”, Rio de
Janeiro, 1987.
 Pedroso, Victor “Manual dos Sistemas Prediais de Distribuição e Drenagem de
Águas”, Laboratório Nacional de Engenharia Civil
 Pedroso, Victor. “Sistemas de Combate a Incêndio em Edifícios”, Laboratório
Nacional de Engenharia Civil, 2010
 Paixão, Mário “Águas e Esgotos em Urbanizações e Instalações Prediais” Edições
Orion
Students have to make two practical works involving the design and dimensioning of a
hot water network with a return circuit, and a fire sprinkler system.
A final exam (EF) is performed, which consists of a theoretical part (7 points) and a
practical part (13 points); The approval requires the mark EF to be greater than or
equal to 10 points;
The practical work (TP) is worth a total of four points; The final mark will be NF =
0.8EF+ TP.
__________________________________________________________________________________________________________________
Title
Scientific Area:
Civil Engineering
Course:
Code:
667315
Term/Semester: 2nd Year/ 1st Semester
ECTS:
5
Department:
Instructor:
Pedro Nuno Madeira Afonso
Study plan:
1. Wastewater characteristics
1.1. Quality of wastewater
1.2. Wastewater flow
1.3. Unit waste loadings and population equivalents
1.4. Calculation of mass loadings
1.5. Selection of design flowrates and mass loadings
2. Regulations for effluent discharge in Portugal
OVERVIEW OF THE DIFERENT TREATMENT METHODS
2.1. Introduction
2.2. Classification of the treatment processes
2.3. Treatment levels
3. Applicability of the different treatment processes
PRELIMINARY TREATMENT
3.1. Introduction
3.2. Screening
3.3. Grit removal
3.4. Fat and grease removal
3.5. Flow equalization
4. Compact systems for preliminary treatment
PRIMARY SEDIMENTATION
4.1. Introduction
4.2. Particle settling theory
4.3. Types of clarifiers
4.4. Design factors
5. Operation, maintenance and troubleshooting
FUNDAMENTALS OF BIOLOGICAL TREATMENT
5.1. Objectives of biological treatment
5.2. Types of biological processes for wastewater treatment
5.3. Classification of microorganisms
5.4. Introduction to microbial metabolism
5.5. Fundamental processes in biological treatment
5.5.1.Biomass growth, substrate utilization and yield
5.5.2. Biomass decay
5.5.3.Hydrolysis
5.5.4.Ammonification
5.5.5.Phosphorus uptake and release
5.6. Introduction to microbial growth kinetics
__________________________________________________________________________________________________________________
6. THRICKLING FILTERS
6.1. Introduction
6.2. Process description
6.3. Physical facilities description
6.4. Design of physical facilities
7. Operation, maintenance and troubleshooting
ROTATING BIOLOGICAL CONTACTORS
7.1. Process and physical facilities description
7.3. Operation, maintenance and troubleshooting
8. ACTIVATED SLUDGE SYSTEMS
8.1. Introduction
8.2. Reactor types
9. LAGOONING
9.1. Introduction
10. SLUDGE TREATMENT
10.1. Introduction
10.2. Solids characteristics and quantities
10.3. Thickening
10.4. Stabilization
10.5. Conditioning
11. Dewatering
PROCESSES FOR BIOLOGICAL NUTRIENT REMOVAL
11.1. Introduction
11.2. Nitrogen removal processes
11.3. Phosphorus removal processes
11.4. Simultaneous phosphorus and nitrogen removal processes
Language
Type of
instruction:
Portuguese
Activities
Theoretical/
Practical
Tutorial
guidance
42
3
7
0.5
Comments
__________________________________________________________________________________________________________________
Learning
objectives:
On successful completion of this module, students will have:
- The ability to do a preliminary design of the most widely used wastewater treatment
unit operations and how to organize these into a functioning treatment system;
- Developed the basic skills for the operation of municipal wastewater treatment plants.
Generic
learning
outcomes and
competences:
On successful completion of this module, students will have developed a range of generic skills
spanning: wastewater treatment plant operation and design; communication skills required
for multi-disciplinary civil and environmental engineering objectives.
Bibliography:
APONTAMENTOS DE INSTALAÇÕES DE TRATAMENTO. Pedro Nuno Afonso. ISEC
WASTEWATER ENGINEERING - METCALF & EDDY, 4th ed.
INGENIERIA AMBIENTAL – Gerard Kiely. MacGraw-Hill
MANUAL DE DEPURACION URALITA. Aurelio Hernández Munoz, Aurelio hernándz Lehmann,
Pedro Galán Martínez. Editorial Paraninfo
WASTEWATER TREATMENT PLANTS. Syed R. Qasim. Technomic Publishing
Progress
assessment:
__________________________________________________________________________________________________________________
Title
Highways Maintenance
Scientific Area:
Civil Engineering (Territory and Transportation)
Course:
Master Degree in Urban Construction
Code:
667312
Term/Semester: 1st Year/2nd Semester
ECTS:
5.5
Department:
Instructor:
Silvino Dias Capitão
Study plan:
Pathologies, structure and behaviour of road pavements; Road materials technology;
Structural Design of Flexible pavements; Pavement condition survey; Maintenance and
rehabilitation of pavements and railway infrastructures;
Overlay structural design of flexible pavements; Infrastructures management systems.
Language
Type of
instruction:
Portuguese / English
Activities
Theoretical
Learning
objectives:
42
3
Practical:
7+2
0.5
Tutorial
guidance
7
0.5
Comments
Lecturing method; Problem solving;
Learning by project development.
Lecturing method; Problem solving;
Learning by project development;
Laboratory practice.
Problem solving; Learning by
project development.
Complementing the student’s knowledge concerning maintenance and rehabilitation
of highways, and more specifically in the area of road pavements and small
bridges.
Developing skills at intermediate/advanced level regarding construction,
maintenance, rehabilitation, design and management of pavements; increasing the
students’ understanding of common bridge maintenance and rehabilitation
technologies.
Generic
learning
outcomes and
competences:
Bibliography:
Understanding and practical use of skills;
Judgment and decision making;
Communication;
Self-learning.
Branco, F., Pereira, P. and Picado-Santos, L., Pavimentos Rodoviários, Edições
Almedina, Coimbra, 2005 (ISBN 972-40-2648-5). Several documents and
PowerPoint slides shown during lectures and laboratory sessions (some of these
documents are in English)
__________________________________________________________________________________________________________________
Progress
assessment:
Project activities: project on Mechanistic-empirical Flexible pavement design
[required oral discussion]; project on bearing capacity and overlay design of
flexible pavements [required oral discussion]. Laboratory sessions’ reports.
Final examination .
__________________________________________________________________________________________________________________
Title
Scientific Area:
Constructions
Course:
Code:
667311
Term/Semester: 1st Year/2nd Semester
ECTS:
5.0
Department:
Instructor:
Nuno Malaquias and Eduardo Natividade
Study plan:
I. Scope of investment analysis
II. The need for methods of economic evaluation in the construction
III. Treatment of price changes
IV. Fixing of the study period
V. Estimation of costs and benefits
VI. Taxation in the analysis of decisions and projects
VII. Financing a project
VIII. Strategic analysis of projects;
IX. The marketing and sales forecast in the management of enterprises.
X. Financial evaluation:
1. Basic Concepts and Definitions
2. Methods for Financial Evaluation and Selection of Projects
a. The Basic Goal: Maximizing the Net Benefits
b. Method Net Present Value (NPV)
c. Method Internal Rate of Return (IRR)
e. Method of Pay-Back
f. Method of Ratios Benefit / Cost
g. Analysis of Breakeven
XI. Property Valuation
1. Cost, Price and Value
2. Evaluation Methodology
3. Homogenization of values
4. Assessment Methods
5. depreciation
I. Multidimensional assessment
Language
Portuguese
Type of
instruction:
Activities
Theoretical
Practical:
Tutorial
guidance
Total Hours
Hours/week
Comments
49
3.5
__________________________________________________________________________________________________________________
Learning
objectives:
The main aim of the course is to introduce students to the
field of Economic Engineering, which support the analysis and evaluation of
construction projects, a situation that will certainly be faced during their professional
practice.
The concepts and methodologies used to assess the developments in the construction
business, will be introduced, particularly those related to financial mathematics,
methods of economic evaluation and risk analysis. The concepts of strategic analysis as
well as the influence of the marketing aspects in such projects, will also be present.
In order to provide the students with proper assessment tools in a multidimensional
perspective of those projects, multiattribute analysis methodologies are also tought.
Generic
learning
outcomes and
competences:
Bibliography:
Progress
assessment:
Evaluate investment projects
Gestão de Empreendimentos – A Componente de Gestão da Engenharia
(Management of construction development projects), João Coutinho-Rodrigues,
Ediliber, Coimbra.
Economia da Construção – Prof. Francisco Loforte Ribeiro - IST
Instrumentos Fundamentais de Gestão Financeira – L. Saias; R. Carvalho; M. C.
Amaral–Univ. Católica Editora. ISBN 972-9430-79-9
Calculo Financeiro – Teoria e Pratica – Rogério Martins – Escolar Editora – ISBN
972-592- 176-3 ; link www.calculofinanceiro.com
Avaliação de Projectos de Investimento na Óptica Empresarial – J. Soares; A V.
Fernandes; A A Marvão; J. P. P. Marques – Edições Silano – ISBN 972-618-207-7
Decisores de Investimento – Analise Financeira de Projectos – Isabel Soares; José
Moreira; Carlos Pinho; João Couto – Edições Silano. ISBN 978-972-618-446-1
There two methods, the first consists of two tests and two practical works, and the second
method consists of one pratical test and one final exam.
__________________________________________________________________________________________________________________
Title
Urban Hydraulics
Scientific Area:
Course:
Code:
667310
ECTS:
5,5
Department:
Study plan:
Water distribution systems modeling.
Geographical information systems in the management of water and sewer systems.
Urban Stormwater Systems Management (SUDS – Sustainable Urban Drainage Systems).
Water loss control in water supply systems.
Language
Type of
instruction:
Portuguese / Tutorial Support in English
Activities
Theoretical
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
49
Practical:
3
Tutorial
guidance
7
Comments
3,5
0,5
Acquire knowledge about planning and management of water supply and drainage systems.
Acquire knowledge and capacity of understanding in the area of management of water supply
and drainage systems.
Sá Marques, J.A.A., e Sousa, J.J.O. – Hidráulica urbana: sistemas de abastecimento de água e
de drenagem de águas residuais, Imprensa da Universidade de Coimbra.
Coelho, S.T., Loureiro, D. e Alegre, H. – Modelação e análise de sistemas de abastecimento de
água, IRAR.
Sousa, J.J.O. – Métodos de apoio à decisão para o dimensionamento e a operação de sistemas
de abastecimento de água. Dissertação apresentada na Faculdade de Ciências e Tecnologia da
Universidade de Coimbra para obtenção do grau de Doutor em Engenharia Civil na
especialidade de Hidráulica, Recursos Hídricos e Ambiente.
Matias, M.G.B. – Bacias de retenção: estudo de métodos de dimensionamento. Dissertação
apresentada à Faculdade de Engenharia da Universidade do Porto para obtenção do grau de
Mestre em Engenharia Civil, especialidade de Vias de Comunicação.
Walski, T.M., Chase, D.V., Savic, D.A., Grayman, W., Beckwith, S. e Koel, E. – Advanced water
distribution modeling and management, Bentley Institute Press.
Mays, L.W. – Urban water supply handbook, McGraw-Hill.
Alegre, H., Coelho, S.T., Almeida, M.C. e Vieira, P. – Controlo de perdas de água em sistemas
públicos de adução e distribuição, IRAR.
__________________________________________________________________________________________________________________
Progress
assessment:
Continuous assessment (20%): a set of group works (4 values).
nature (16 values).
__________________________________________________________________________________________________________________
Subject Title:
Urban Space Design
Scientific Area:
Civil Engineering (Territory and Transports)
Course:
Code:
667308
Year/Semester:
2nd
ECTS:
4.5
Department:
Instructor:
Study plan:
João Armando Pereira Gonçalves
Cities:
- concepts, current importance and role; problems and challenges
- historic overview, main models and underlying motivations (political, economic,
religious…)
- internal structures; relation between form and function
Urban design:
- concepts and patterns;
- basic elements of urban space
- infrastructures and their impact in the urban space
Building in a urban context:
- basic rules of urban integration
- legal framework in the Portuguese context;
- the land market: basic notions and its impact in the building industry
Public spaces:
- importance
- the “do’s and don’ts” in planning and management
Portuguese
Language:
Type of
instruction:
Activities
Theoretical
2
42
3
7
0.5
Comments
Practical
Tutorial
guidance
Learning
objectives:
Generic
learning
outcomes and
competences:
Knowledge of the urban context and the difference forces (political, religious, economic,
social…) that shape its form
Knowledge of the challenges and good practices on private and public spaces
Knowledge and practice of planning in a urban environment
To understand the historic and legal framework to be considered when planning in a urban
environment
To know the basic components of urban space
To develop critical thinking related to problems of land use in a urban context and quality of
urban space
__________________________________________________________________________________________________________________
Bibliography:
Sidónio Pardal, Paulo Correia e M.Costa Lobo, Normas Urbanísticas, DGOT-UTL, 1991
F. Chueca Goitia, Breve História do Urbanismo, Editorial Presença, 1992
Jean Pelletier et Charles Delfante, Cidades e Urbanismo no Mundo, Instituto Piaget, 2000
Políticas de Solos no Planeamento Municipal - Paulo V.D. Correia - Fundação Calouste
Gulbenkian, 1993
João A. P. Gonçalves, Evolução de Coimbra entre 1981 e 1991 – Análise baseada em dados
censitários, FCTUC, 1999
DL 380/98 - Regime Jurídico dos Instrumentos de Gestão Territorial
DL 177/2001 - Regime Jurídico da Urbanização e Edificação
Progress
assessment:
Powerpoint presentations from lectures
Practical assignments – 2 practical assignments will be given to students (to be carried in
groups of 2 or 3 persons); one of them will be presented in class. The assignments will
contribute up to 40% of the final mark
Exam – written test at the end of the semester
__________________________________________________________________________________________________________________
Title
Applied Mathematics for Engineering II
Scientific Area:
Mathematics
Course:
Master in Urban Constructions / Civil Engineering
Codigo:
667307
Term/Semester: 1st /2nd
ECTS:
3,5
Department:
Study plan:
Regression. Simple Linear Regression. Least Squares Estimators of the Regression Parameters.
Statistical Inference about the regression parameters. The coefficient of determination and
the Sample Correlation. Analysis of Residuals: Assessing the Model. Transforming to Linearity.
Multiple Linear Regression. Use of statistical software SPSS in Regression.
Optimization. Linear Programming. Simplex Algorithm. Examples in Civil Engineering. Use of
Solver Supplement of Microsoft Excel.
Language
Type of
instruction:
Activities
Theoretical
Practical:
28
2
7
0,5
Comments
Tutorial
guidance
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
To understand that many engineering problems are concerned with determining a relationship
between a set of variables. To know how to choose the convenient regression model in cases
of real variables.
To learn and use the” Least Squares Method” to obtain the linear regression equation;
understanding the meaning of the regression parameters and of Sample correlation and
Coefficient of Determination, and be able to make statistical inferences about these
parameters.
To understand that the need to get the “best” out of a system is a very strong motivation in
much of engineering; the importance of obtain the maximum amount of product or to
minimize the cost of a process.
To learn and know the Linear programming (LP) problem. To use the simplex algorithm to
solve practice problems and in particular some related to Civil Engineering.
To be able to use the more convenient Regression Models to adjust a set of variables, related
to problems of engineering.
To know how to use statistical software in regression and software to linear programming.
HILLIER, F, LIEBERMAN G. – Introduction to Operations Research McGraw Hill.
MONTGOMERY; DOUGLAS C. R; GEORGE C. – Applied Statistics and Probability for Engineers,
__________________________________________________________________________________________________________________
3rd Edition, 2003 Wiley
NETER, KUTNER, NACHTSHEM, WASSERMAN – Applied Linear Statistical Models, McGraw Hill.
SECO A., ANTUNES A., CUNHA C. – Técnicas de Programação Matemática e suas Aplicações em
Engenharia Civil, DEC, UC.
Progress
assessment:
Assessment can be either continuous or by a final exam during the 1st or 2nd exam´s period.
Continuous assessment consists of one practice work, using SPSS (25%) and a final exam
(75%). Alternatively, the assessment is made through a final examination (100%).
__________________________________________________________________________________________________________________
Title
Structural reinforced concrete
Scientific Area:
Course:
Code:
667306
Term/Semester: 1st year; 1st semester
ECTS:
5,5
Department:
Instructor:
Ricardo Nuno Francisco do Carmo
Study plan:
Serviceability Limit States
General
Stress limitation
Cracking
Crack control
General considerations
Minimum reinforcement areas
Control of cracking without direct calculation
Calculation of crack widths
Deflection control
General considerations
Cases where calculations may be omitted
Checking deflections by calculation
Flat slabs
Structural analysis: calculation of the distribution of internal forces and moments.
Structural analysis
Linear analysis with limited redistribution and plastic analysis for beams and slabs
(ductility and plastic rotation capacity)
Prestressed Concrete:
Structural interest of prestressing;
Precast concrete elements
Prestress force
Immediate losses of prestress for pre-tensioning
Immediate losses of prestress for post-tensioning
Losses due to the instantaneous deformation of concrete
Losses due to friction
Losses at anchorage
Time dependent losses of prestress
Determination of the prestress force
Checking the safety to the Ultimate limit states (bending and shear)
Anchorage of pre-tensioned tendons
Anchorage zones of post-tensioned members
__________________________________________________________________________________________________________________
Language
Type of
instruction:
Portuguese (English if there are enough students to create a separate class)
Activities
Theoretical and practical
Tutorial guidance
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
Total
Hours
Hours/week
49
3,5
7
0,5
Comments
concrete structures (current and complex structures)
Generic skills:
• Application of knowledge;
• Make judgments / decisions;
• Improve the communication;
• Self-learning.
Specific skills:
 Acquire knowledge and understanding capacity in the field of reinforced concrete
structures (buildings and bridges usually used in the urban space), particularly at the
level of design and manufacturing;
 Review the fundamental principles on the behavior of reinforced concrete structures in
order to strengthen the knowledge already acquired;
 Increase the capacity to understand the reinforced concrete structures used in the
urban space;
 Provide the students with new knowledge to deal with complex and contemporary
situations in the area of reinforced concrete structures (making judgments and
developing solutions).
 REBAP - Regulamento de Estruturas de Betão Armado e Pré-Esforçado (1983), DecretoLei n.º 349-C/83, de 30 de Julho;
 EC2 - EN 1992-1-1 - “Eurocódigo 2: Projecto de estruturas de betão armado – Parte 1-1:
Regras gerais e regras para edifícios”, Abril de 2004;
 CEB-FIP MODEL CODE 1990, Comité Euro-International du Béton, Lausanne, Suisse,
1990;
 Júlio Appleton, João Almeida, José Câmara, Augusto Gomes - “Betão Armado e PréEsforçado - Dimensionamento de estruturas de betão armado pré-esforçado”, 1988.
 Lopes, Sérgio - “Apontamentos de Betão Pré-esforçado”, Departamento de Engenharia
Civil da Faculdade de Ciências e Tecnologia da Universidade de Coimbra, Coimbra, 1995.
 Burns, Lins - “Design of Prestressed Concrete Structures”, John Wiley & Sons, New York,
1982.
 Gilbert, R. I. - “Design of Prestressed Concrete”, Chapman and Hall, London, 1990.
 Hurst, M. K. - “Prestressed Concrete Design”, Chapman and Hall, London, 1988.
 Leonhardt F. - “Construções de Concreto, vol 5 – Concreto Protendido”, Ed. Interciência,
__________________________________________________________________________________________________________________
Progress
assessment:
Lda.; Rio de Janeiro, 1983.
 Nilson, A. H. – “Design of Prestressed Concrete”, John Wiley & Sons, New York, 1987.
 Pompeu dos Santos, Silvino - “Ligações de Estruturas Pré-fabricadas de Betão”,
Laboratório Nacional de Engenharia Civil, Lisboa 1985.
 Carmo, Ricardo – Elementos de apoio às aulas – Betão Estrutural. Diapositivos
apresentados nas aulas.
http://www.qsp.pt/
 Elementos de estudo da disciplina Estruturas de Betão I (IST) – Módulo 3 Verificação do
comportamento em serviço (Estados Limites de Utilização) – Carla Marchão e Júlio
Appleton
 Elementos de estudo da disciplina Estruturas de Betão II (IST) – Módulo 1 Pré-Esforço –
Carla Marchão e Júlio Appleton
 Elementos de estudo da disciplina Estruturas de Betão II (IST) – Módulo 2 Lajes – Carla
Marchão e Júlio Appleton
 Cálculo prático de estruturas de betão armado – aços SD
 Júlio Appleton – “Eurocódigo 2 – EN1992-1-1”
 Júlio Appleton, Paulo França – “Implementação do Eurocódigo 2 – (EN1992-1) em
 Júlio Appleton, António Costa, Paulo França – “Efeitos Estruturais da Deterioração em
 João Saraiva, Júlio Appleton – “Avaliação da Capacidade Sísmica de Edifícios de Betão
 Júlio Appleton – “Construções Pré-Fabricadas em Zonas Sísmicas”
 Júlio Appleton – “Interesse e Vantagens da Aplicação de Pré-Esforço em Edifícios”
 João Almeida, Júlio Appleton, Carlos Martins – “Control of Deflections in Postensioned
Slabs”
 Miguel Lourenço, João Almeida - “Campos de Tensões em Zonas de Descontinuidade”
 João Almeida, Miguel Lourenço – “Stress Field Models for Structural Concrete”
 A research work with presentation and discussion (5 points in the range of 0 to 20). This
work can be done individually or in group (maximum of 2 students) and must be
submitted with the format specified by the teacher.
 A written exam (15 points in the range of 0 to 20) to be carried out during the period of
the exams.
 The student can choose not to do the research work or can do the research work and
choose not to account for the final result. In these cases, the final exam will be quoted
for 20 points.
 For the student who chooses to account research work for the final result, the final
exam will be quoted for 15 points. In this case, the final result will be the sum of the
research work result with the final exam result.
 The approval requires the achievement of at least 9.5 in the final result and the
minimum of 7 points (in the range of 0 to 15) in the written exam (for the students who
choose to consider the evaluation of the research work in the final result).
__________________________________________________________________________________________________________________
__________________________________________________________________________________________________________________
Title
Flexible Retaining Structures
Scientific Area:
Civil engineering - geothecnics and foundations
Course:
Master Degree in Civil Engineering – Specialization in Urban Construction
Academic Year:
667303
Term/Semester: 1st Year/ 1st Semester
ECTS:
5.0
Department:
Instructor:
Carlos Manuel da Cruz Moreira, Prof. Coordenador, PhD
Study plan:
1. Flexible retaining structures
Definition and types of retaining structures; Legislation and rules to verify in retaining
structures design and construction; Types of peripheral supporting; Sheet piles; Larssen and
Frodingham types; Soldier pile walls; Berlin and Munich types; Diaphragm walls; Cast in situ
and pre-cast; Bored pile walls; Cantilever walls; Walls with one or several additional supports;
2. Design methodology
Design classic methods; free earth support and fixed earth support considerations and
calculations; Rowe’s method; Fictional soils; Cohesive soils: Rowe’s method extension; Long
and short term stability analysis; Supporting types; Struts and anchors; Constructive details;
Theoretical earth trust and Terzaghi and Peck diagrams; Design; Pressure diagrams; Strut
forces calculation; Evaluation of bending moments and shear forces on the wall;
3. External stability
Stability of the bottom of the excavation; Clay soils; Terzaghi hypothesis; Bjerrum and Eide
method; Sand soils; Hydraulic collapse; Safety coefficients; Vertical loads stability; Global
stability; Kranz method;
4. Ground anchors
Generalities; Mechanical behaviour of ground anchors; Pre-tension; Main types; Design;
Acceptance tests;
5. Seismic behaviour of retaining structures
Introduction; Retaining structures response to ground vibration; Monobe Okabe theory;
Application to frictional and cohesive soils; Analytical and graphical solutions; Culmann’s
methodology; Location of the seismic thrust; Evaluation of the seismic coefficients;
Language
Portuguese
Type of
instruction:
Activities
Theoretical
42
3
Comments
Practical:
7
Presentation and discussion of
group assignments
Tutorial
guidance
7
__________________________________________________________________________________________________________________
Learning
objectives:
Generic
learning
outcomes and
competences:
Bibliography:
Progress
assessment:
Design and technology of flexible retaining structures in urban deep construction.
Generic competence: Knowledge and comprehension of flexible retaining structures.
Specific competence: Evaluation methodology, constructive procedures.
Specific competence: Design, supervision and direction of works.
 Cortinas de Estacas Moldadas - Brito, J. e França, P., IST
 Earth Retention Systems Handbook - Alan Macnab, McGraw-Hill
 Earth Pressure and Earth-Retaining Structures - C.R.I. Clayton, J. Milititsky and R.I. Woods,
Wiley Interscience
 Estruturas de Suporte de Terras - Matos Fernandes, M.
 Estruturas Flexíveis de Contenção Periférica - Moreira, C.
 Ground Anchors and Anchored Structures - Petros Xanthakos, John Willey & Sons, Inc.
 Paredes Moldadas - Brito, J. e França, P., IST
 Paredes Tipo Munique e Berlim - Brito, J. e França, P., IST
 Pregagens - Brito, J. e França, P., IST
 Recomendações na Área da Geotecnia - Ordem dos Engenheiros
 Tecnologia de Fundações - Coelho, Silvério, Edições E.P.G.E.Tecnologia de Fundações Coelho, Silvério, Edições E.P.G.E.
Written evaluation;
Research assignment with oral presentation.
__________________________________________________________________________________________________________________
Title:
Applied Mathematics to Engineering I
Scientific Area:
Mathematics
Course:
Codigo:
667301
Year /Semester:
1st / 1st
ECTS:
3.5
Department:
Department of Physics and Mathematics
Study plan:
Analytical Geometry - Short overview on conics, vectors, lines and planes in space; Polar,
cylindrical and spherical coordinates; Quadric surfaces.
Differential Calculus on IRn - Topology concepts; Real functions of several real variables
(domain, limits, partial derivatives, Schwarz theorem, linear approximation and differentials,
Chain rule, implicit function, directional derivative, gradient vector and applications); Simple
and conditional extremes of a real function on IR2, calculus of conditional extremes by the
method of Lagrange multipliers.
Integral Calculus on IRn - Double and triple Integrals (definition, geometric interpretation,
calculus in Cartesian and polar coordinates, applications); Brief introduction to vector analysis
(vector fields; line integrals; conservative fields; Green’s theorem).
Language:
Type of
instruction:
Activities
Total
Hours
Hours/week
Theoretical
Practical
Tutorial
guidance
Comments
Classroom, lectures
28
2
7
0.5
Classroom, lectures and problem
solving
Laboratory work and problem solving
Students have weekly voluntary
support through instructor’s office
hours (6 hours availability)
Learning
objectives:
Generic
learning
outcomes and
competences:
Comprehension and use of the differential and integral calculus on IRn.
Bibliography:
J. A. Rogrigues, Curso de Análise Matemática - Cálculo em IRn, Princípia, 2008.
H. Anton, I. Bivens e S. Davis, Cálculo - Volume II, 8ª edição, Bookman, 2007.
G. James, Advanced Modern Engineering Mathematics, 3ª edição, Prentice Hall, 2004.
Solve and interpret real problems with an increasing autonomy.
Find and select relevant information from different sources such as textbooks and the web.
__________________________________________________________________________________________________________________
R.A. Adams, Calculus, Several Variables, 5ª edição, Addison Wesley, 2003.
Progress
assessment:
Final written exam.

pdf EN

Transcription

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