### Master’s Degree / Doctorate

*1. Disciplinas obrigatórias (8 Credit Units, 120 Credit hours)*

#### Concentration Area: Construction Engineering

**Advanced Calculus** (4 Credit Units, 60 Credit hours)

Syllabus: Linear Equations; Vectors, matrices and determinants. Coordinate transformations; tensorial analysis. Partial differentiation. Multiple integrals. Vector analysis. Complex numbers. Fourier series. Ordinary differential equations. Calculation of variations. Partial differential equations. Integral transformations.

**Concrete Dosing** (4 Credit Units, 60 Credit hours)

Syllabus: Internal structure of concrete, materials for dosage, water, cement, aggregate, pozzolanic materials, additives, dosage methods, quality control.

**Introduction to Materials Science and Engineering** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction to Materials Science and Engineering, Crystalline Structures and Crystalline Geometry, Solidification, Crystalline Defects and Solid State Diffusion, Introduction to Mechanical Properties of Materials, Phase Diagrams, Metallic Engineering Alloys, Polymers (Ceramics and Composites).

**Theory of Elasticity** (4 Credit Units, 60 Credit hours)

Syllabus: Mathematical fundamentals (matrix algebra review), tensors (introduction to Cartesian tensors, indicial notation, vectors and tensors, transformation matrices, orthogonal matrices, tensor operations, symmetry and anti-symmetry, vector algebra in indicial notation, differential operators for tensors (stress distribution, stress transformation equations, Cauchy formula, equation of motion, principal tensions, three-dimensional Mohr circles), strain (tensor gradient of displacement, superposition, small deformations, infinitesimal unitary tensor tensor, infinitesimal rotational tensor, cubic dilation and distortion, compatibility equations), strain relationship, Hooke's law, plane stress and strain, Airy strain function, plane problems of Elasticity), Three-dimensional elasticity (Hooke's law for isotropic material via superposition, linear elastic material constants, generalized Hooke's Law, deformation energy, introduction to the term elasticity, application examples).

*2. Complementary Disciplines (16 Credit Units, 240 Credit hours)*

**Dynamic Structural Analysis** (4 Credit Units, 60 Credit hours)

Syllabus: Deterministic analysis. Free and forced vibration: damped and non-damped, transient and persistent vibration of linear systems with one and several degrees of freedom. Response spectra for linear systems subjected to impulsive and periodic excitations. Vibration of continuous systems. Applications to simple systems.

**Experimental Analysis of Tensions** (4 Credit Units, 60 Credit hours)

Syllabus: Experimental Analysis of Structures, Deformation State, Measurement Instruments, Test Systems, Test Procedures, Interpretation of Results, Miscellaneous Examples.

**Nonlinear Analysis of Structures** (4 Credit Units, 60 Credit hours)

Syllabus: eam Theories of Bernoulli and Tymoshenko, principle of virtual works, matrix method of meslocations, matrix method of forces; method of direct stiffness.

**Use of Waste in Construction** (4 Credit Units, 60 Credit hours)

Syllabus: Alternatives for recycling of waste as building materials, classification of waste, techniques for characterizing waste, development of new products from waste - evaluation of the microstructure, types of waste: active silica, slag, fly ash, rice, metakaolin, leather waste, seasonal sludge, footwear industry, rubble and others, new trends in the study of waste recovery.

**Evaluation of Environmental Impacts in Civil Constructions** (4 Credit Units, 60 Credit hours)

Syllabus: Provide students of the Civil Engineering Graduate Program with an integrated vision of the insertion of the physical environment in the context of impact on the environment, through specific knowledge of the concepts that involve the theme, techniques of environmental impact assessment and practical issues of project development in the environmental area and its implementations; with emphasis on the study of the modifications in the physical environment generated by the various phases of civil works: design, execution, operation and deactivation.

**Armed Concrete I** (4 Credit Units, 60 Credit hours)

Syllabus: Fundamentals of Structural Design; Dimensioning and Verification of Pillars; Final Limit Analysis of Flexural Beams; Calculation of Beams to Cutting Effort; Dimensioning and Verification of Rectangular Solid Slabs; Introduction to the theory of rupture lines; Verification in the State of Use Limit.

**Armed Concrete II** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction to Plate Flexion Theory; Calculation of Ribbed slabs, Calculation of smooth slabs; Torsion Design; Analysis of Wall Beams and Short Consoles. Programmatic Content: Introduction to Plate Flexural Theory: Some Relationships of Elasticity Theory, Differential Plate Equation, Contour Conditions, Differential Plate Equation Solution, Tables for Armed Concrete Slabs, Calculus Examples, Introduction, Calculation of Effort, Symmetric Puncture, Calculation Examples, Torsion Design: Introduction, Twisting in Beams, Mörsch Trellis Analogy, Normative Criteria, Examples of Calculus, Analysis of Wall Beams and Short Consoles: Introduction, Voltage Analysis, Sizing Criteria, Short Consoles, Calculation Examples.

**Prestressed concrete** (4 Credit Units, 60 Credit hours)

Syllabus: Basic Concepts in Prestressed Concrete. Static functioning of the protension. Properties of materials: steel and concrete. Systems of pretension. Types of pretension. Execution and control of the protension in the works. Project criteria: boundary states and degree of protension. Dimensioning and bending checks. Detailing of cables. Loss of Protest: immediate and progressive. Ultimate limit state in bending. Ultimate State limit in shear. Checks in anchorages and supports. Protestion in hyper-static structures. Protesting in slabs and continuous beams.

**Cost Engineering** (4 Credit Units, 60 Credit hours)

Syllabus: Cost Accounting, Cost Analysis and Cost Analysis, Costing Systems and Cost Analysis, Characteristics of Civil Construction Costs, Construction Input Costs, Scrap, Leftovers, Waste and Defective Units, Cost and Budget Estimates: Concepts, Classification and Approach of Types, Operational Budget, Price and Profit, studies on Development Methodology and Implementation of a Cost System.

**Economic Engineering** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction. generalities and fundamentals of financial mathematics; concepts, techniques and methods of economic analysis for engineering decisions; economic evaluation and feasibility analysis of enterprises; Introduction to cost engineering; Case Study.

**Metal Structure** (4 Credit Units, 60 Credit hours)

Syllabus: Structures of Steel: General Aspects and Field of Application of Steel Structures Steel Manufacturing Process Properties of Available Steel in the Market. Diagram Tension-Strain. Sizing Methods and Standards in Force. Actions and Safety: State Limit Method. Dimensioning and Verification of Tractioned, Compressed, Flexed, Flexotracted and Flexocompressed Bars. Sizing and Verification of Screwed and Welded Connections. Notions on Structural Steel Projects.

**Armed Concrete Structures I** (4 Credit Units, 60 Credit hours)

Syllabus: Fundamentals of Structural Design; Dimensioning and Verification of Pillars; Final Limit Analysis of Flexural Beams; Calculation of Beams to Cutting Effort; Dimensioning and Verification of Rectangular Solid Slabs; Introduction to the theory of rupture lines; Verification in the State of Use Limit.

**Armed Concrete Structures II** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction to Plate Flexion Theory, Calculation of Ribbed Slabs, Flat Plate Calculation, Torsion Sizing, Wall Beam Analysis and Short Consoles. Programmatic Content: Introduction to Plate Flexural Theory: Some Relationships of Elasticity Theory, Differential Plate Equation, Contour Conditions, Differential Plate Equation Solution, Tables for Armed Concrete Slabs, Calculus Examples, Introduction, Calculation of Effort, Symmetric Puncture, Calculation Examples, Torsion Sizing: Introduction, Twisting in Beams, Mörsch Trellis Analogy, Normative Criteria, Examples of Calculation, Analysis of Wall Beams and Short Consoles: Introduction, Voltage Analysis, Sizing Criteria, Short Consoles, Calculation Examples.

**Wood Structures** (4 Credit Units, 60 Credit hours)

Syllabus: Actions, Loading, Loading Classes: project situations, values representative of actions. Calculation values, combination factors and weighting coefficients, Combinations of actions in relation to the last limit states and in limit states of use. Properties of woods: characteristic values, calculation values. Dimensioning: active efforts, resistant efforts, normal requests, tangential requests, stability. Connections: mechanical connections, eccentric connections, adhesive connections, sizing criteria. Constructive dispositions: minimum dimensions, maximum slenderness, connections, executive procedures, classification of parts, durability of the wood.

**Special Structures** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction: special structures: Concepts, materials Composites: Artificial fibers, concrete with fibers and new materials, characterization of composite materials with fibers: Assays for physical and mechanical characterization, concrete elements with flexural fibers, concrete elements with shear fibers.

**Precast Concrete Structures** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction, Production and Design of Precast Concrete Structures, Connections between Precast Elements, Basic Mechanisms for Force Transfer, Rod and Rod Models for Element Analysis and Preformed Connections.

**Project Management** (4 Credit Units, 60 Credit hours)

Syllabus: Forecast of Demand. Planning and Control of Productive Capacity. Inventory Planning and Control. Production Schedule. MRP.

**Wood and Its Applications** (4 Credit Units, 60 Credit hours)

Syllabus: Notions about anatomy and identification of wood; Artificial wood drying; Wood adhesives (Adhesion); Resins, paints and varnishes for wood; Preserved wood and Preservative treatments; Agglomerated wood, Medium Density Fiberboard (MDF); Compensated and Laminated; Lumber; Finger joints; Laminated Wood, Application of wood and wood based materials: Finishes, Walls, partitions, windows, doors and linings, Wooden houses, Structural systems, Connections.

**Maintenance, Repair and Reinforcement of Structures** (4 Credit Units, 60 Credit hours)

Syllabus: Structural Maintenance; Methodology for Diagnosis and Intervention; Base for Reinforcement with Reinforced Polymers with Fiber (PRF), Reinforcement with PRF, Reinforcement with Reinforcement with PRF, Confinement with PRF.

**Finite Element Method** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction, Mathematical Fundamentals, Variational Principles, Formulation Techniques, Basic Elements, Isoparametric Formulation, Computational Implements, Programmatic Content: Introduction - Method History, Fields of Application, Fundamentals Concepts and Basic Idea of the Method; Revision of the Fundamental Equations of Elasticity Theory, Review of the Direct Stiffness Method, Mathematical Foundations - Revision of some mathematical foundations: Transformation between coordinate systems, Numerical Integration; Interpolation, Variable Calculations, Variable Principles - Potential Energy of Elastic Bodies, Principle of Potential Stationary Energy, Governing Equations, Strong Form and Weak Form, Principles of Virtual Work, Formulation Techniques - Weighing Methods, Galerkin Method, Rayleigh Method -Ritz, Basic Elements - One-dimensional shape functions, Trellis element formulation, Formulation of beam element; Formulation of the triangular element of constant deformation, Isoparametric Formulation - Bilinear Quadrilateral Element, Parametric Coordinate Systems, Gaussian Quadrature Application, Quadratic Quadrilateral Elements, Quadratic Triangular Element, Appropriate Quadrature Order, Instability and Incompatible Modes, Computational Implementations - to the method, and due implementation. Methodology: Lectures will be given with the help of mathematical software (MathCAD and MatLAB), and multimedia projector. During the course, a complete Finite Element program will be developed using MatLAB software.

**Scientific Methodology** (4 Credit Units, 60 Credit hours)

Syllabus: Concept and evolution of science. The scientific methodology. Technological research.

**Statistic Methods** (4 Credit Units, 60 Credit hours)

Syllabus: Basic Statistics Concepts: Calculations of Mean, Mode, Median, Standard Deviation, Coefficient of Variation, Quantiles, Asymmetry, Curtosis, Sample Distributions, Spurious Values. - Use of Statistical Software. - Probability: Principal Theorems, Conditional Probability, Bayes Theorem, Random Variable (R.V.), Probability Distributions, Moments of a v.; Main Discrete Distributions: Uniform, Bernoulli, Binomial, Geometric, Poisson, Pascal; Main Continuous Distributions: Uniform, Normal, Exponential, Gamma, Chi-square, t-student, F-Snedecor, Beta, Log-normal. - Inference: Construction of Confidence Intervals, Comparison of Averages, ANOVA. - Suitability tests: Chi-square, Kolmogorov-Smirnov. - Sampling: Determination of the Minimum Sample Size. - Correlation and Regression: Simple Linear Regression, Multiple Linear Regression. - Planning of Experiments: Factorial Models, Latin Square. - Multivariate Analysis: Cluster Analysis, Principal Component Analysis.

**Numerical Methods** (4 Credit Units, 60 Credit hours)

Syllabus: Numerical representation. Study of curves. Polynomial representation: methods of interpolation, approximation by splines. Resolution of linear systems. Solving non-linear equations. Resolution of non-linear systems. Numerical integration and differentiation techniques. Resolution of ordinary differential equations: methods of Euler, Runge-Kutta, predictor-corrector. Resolution of partial differential equations.

**Urban Planning and Public Policy Management** (4 Credit Units, 60 Credit hours)

Syllabus: Theoretical aspects of planning applied to urban problems, urban structure, urban and regional space. Explanatory theories of the organization of cities: ecological models, land value, land use and occupation. Management of urban policies housing policies, urban space organization policies and urban infrastructure sectors, emphasis on the interface of urban planning and sanitation environmental.

**Decision Making Process** (4 Credit Units, 60 Credit hours)

Syllabus: The decision function in the context of the administration of construction companies. Methods and decision processes. The participatory decision and practice in the context of construction companies.

**Instrumental Techniques Applied in Construction Materials** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction: Fundamental Concepts of Civil Construction Materials, Characteristics Required in Construction Materials, Mechanical properties (Resistance, modulus of elasticity, types of stresses, deformations, ductility, toughness, resilience, creep), Thermal properties chemical properties (physical composition of materials), Physical properties (specific mass, unit mass, Portland cement pick time, aggregate granulometry), Tests according to ABNT standards.

**Mortars Technology** (4 Credit Units, 60 Credit hours)

Syllabus: The purpose of this subject is to study the requirements and performance criteria of mortars for the purpose of horizontal or vertical lining and laying of ceramic material, whether masonry or cladding, and to promote discussions on the properties of the mortars' constituents.

**Special Topics in Civil Production - Projects** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction; Overview of production systems; Production management; Strategic role and production objectives; Production strategy; Organization of production; fundamentals of operations to manage the operation; Financial and marketing fundamentals for production management; The administrative principles of the Toyota (World Class) model. New models of production management; Lean Construction.

*1. Mandatory Disciplines (8 Credit Units, 120 Credit hours)*

#### Concentration Area: Water Resources and Environmental Sanitation

**Mathematical Methods** (4 creditos, 60 Credit hours)

Syllabus: Numerical Analysis, Models and Modeling; EDO's Analytical Solution, EDP's Analytical Solution, Errors, EDO's Numerical Solution, EDP's Numerical Solution, Finite Difference Methods (MDF), Finite Volume Methods; Fluvial Hydrodynamic Modeling and Pollutant Dispersion.

**Statistical Methods** (4 Credit Units, 60 Credit hours)

Syllabus: Basic Statistics Concepts: Calculations of Mean, Fashion, Median, Standard Deviation, Coefficient of Variation, Quantiles, Asymmetry, Curtosis, Sample Distributions, Spurious Values. - Use of Statistical Software. - Probability: Principal Theorems, Conditional Probability, Bayes Theorem, Random Variable (R.V.), Probability Distributions, Moments of R. V..; Main Discrete Distributions: Uniform, Bernoulli, Binomial, Geometric, Poisson, Pascal; Main Continuous Distributions: Uniform, Normal, Exponential, Gamma, Chi-square, t-student, F-Snedecor, Beta, Log-normal. - Inference: Construction of Confidence Intervals, Comparison of Averages, ANOVA. - Suitability tests: Chi-square, Kolmogorov-Smirnov. - Sampling: Determination of the Minimum Sample Size. - Correlation and Regression: Simple Linear Regression, Multiple Linear Regression. - Planning of Experiments: Factorial Models, Latin Square. - Multivariate Analysis: Cluster Analysis, Principal Component Analysis.

*2. Complementary Disciplines (16 Credit Units, 240 Credit hours)*

**Water and Sustainable Development in the Amazon** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction, general aspects of water resources, the hydrological cycle and the problem of water use in the Amazon, development and nature, perspective of sustainable development, management and collection of water resources in the world, management and planning of water resources in Brazil, charging for the use of water, the Amazon Basin and the sustainability of water use.

**Subterranean Water** (4 Credit Units, 60 Credit hours)

Syllabus: Distribution of water on the planet, Principal types of rock, Infiltration and subterranean flow, Soil moisture zones, Underground flow, Hydraulic properties, Porosity, Permeability and Darcy's law, Transmissivity, Storage, Flow regimes, Flow in fractured media, Types of aquifers, Design and construction of wells, Comparative cost analysis: surface capture X underground capture.

**Qualitative Aspects of Surface Water Resources** (4 Credit Units, 60 Credit hours)

Syllabus: Water reservoirs and their distribution, Hydrological cycle and the paths of Pollution, Biogeochemical cycles, Phosphorus cycle, Nitrogen cycle, Carbon cycle, Eutrophication, Amazon region case study, Basic principles of safety standards in laboratory, Laboratory control used in Environmental Engineering, Oxidation-reduction Titration, Precipitation Titration, Hydrological Material Collection and Abiotic Parameters Analysis.

**Evaluation of Public Sanitation Policies** (4 Credit Units, 60 Credit hours)

Syllabus: Basic Concepts for Evaluation of Public Sanitation Policies, Conceptual and Theoretical Bases, Variety of Policy Analysis, Evaluation of Results, Impacts and Consequences.

**Water Resources Management** (4 Credit Units, 60 Credit hours)

Syllabus: The Hydrological Cycle and Hydrographic Basin, Hydrologic Cycle, Hydrographic Basin, Legal Aspects, Federal Legislation: Brazilian Constitution, Law 9.433 of the National Water Resources Policy - PNRH, Water Code, Law 9.438 of the National Environmental Policy, PNRH, State Legislation: State Policies, Other legal instruments of interest, Organizational Aspects, Water Resources Systems: France; Spain, Germany, Other countries, National Water Resources System, designed by Law 9.433: National Water Resources Council, Water Basin Committees, Water Agency, federal water management agency, State Systems of Water Resources: Paulista System, Gaúcho System, Other state systems, Conceptual aspects of water resources management, Management models: Bureaucratic, Economic-Financial, Systemic of participatory Integration. Civil Engineering Graduate program, Need for separation between the Management of the Water Use Offer, and the Management of the Sectorial Use of Water Resources. Process of planning of water resources, Concept, Dynamics of planning of water resources. Interpretation of planning based on the law 9.433. Integration of plans at the national, state and basin level, hydrographic. Integration of management tools into the planning process. Itemization of activities that are part of a Water Resources Plan. Instruments of Water Resources Management, Framing of water bodies in classes of prevailing uses. Granting of water use rights. Charge for the use of water. Cost evaluation. Information system on water resources. Other instruments.

**Hydrology and Hydrodynamics** (4 Credit Units, 60 Credit hours)

Syllabus: Applied Hydrology, Hydrological cycle. Notions of hydrometeorology. Mediation of hydrometeorological phenomena. Hydrographic basin, morphological and topographic characteristics. Precipitation. Evaporation. Infiltration. Potential evapotranspiration. Flows. Collection, analysis and processing of hydrological data. The hydrological balance of a river basin. Hydromechanical Property of fluids. Hydrostatic. Fluid dynamics. The viscosity and the resistance in the flows in free and forced conduits. Holes, nozzles and pourers. Similarity and theory of hydromechanical models.

**Sanitation and Environment Infrastructure** (4 Credit Units, 60 Credit hours)

Syllabus: Conceptualization of Infrastructure systems and their networks. History of infrastructure systems. History of the environmental issue. Interactions between human activities and the environment. Environmental Licensing of Infrastructure Works. Environmental impact study (EIA) and environmental impact report (RIMA). Environmental education. Legislation concerning infrastructure and environmental problems.

**Introduction to the Lean Production System** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction; STP History, Toyota's Management Model, Toyota's 14 Principles of Management, Lean Office, Lean Interprice, Lean Construction, Suply Chain in the Lean Production Chain, Continuous Flow, Lean Supplier, Human Management Lean, LeanSigma.

**Methodology of Scientific Work** (4 Credit Units, 60 Credit hours)

Syllabus: Concept and evolution of science. The scientific methodology. Technological research.

**Mathematical and Statistical Methods** (4 Credit Units, 60 Credit hours)

Syllabus: Numerical solution of EDO, Numerical solution of EDP's: Finite differences, finite volumes and finite elements; Statistical treatment of variables, graphical representation, numerical representation; main proactive models; frequency analysis.

**Quantitative Methods** (4 Credit Units, 60 Credit hours)

Syllabus: Frequency Distribution. Sampling Techniques. Descriptive Statistics: Measures of central tendency and measures of dispersion. Statistics Applied to Water Engineering, Introduction to Hydrology Statistics and Environmental Indicators.

**Microbiologia dos Processos Biológicos de Tratamento de Resíduos Orgânicos** (4 Credit Units, 60 Credit hours)

Syllabus: To develop knowledge about the fundamental aspects of biological processes for the treatment of organic wastes, especially the microbiology and biochemistry involved in the aerobic and anaerobic degradation of organic compounds.

**Microbiology of Biological Processes of Waste Treatment** (4 Credit Units, 60 Credit hours)

Syllabus: The course aims to offer a fundamental science vision and its relation with Microbiology and Environmental Sanitation and includes the following topics: Historical concepts on Microbiology, Microbial metabolism, emphasis on the metabolism of prokaryotes, Microorganisms involved in the biological processes of aerobic treatment, Microorganisms involved in the biological processes of anaerobic treatment, Special bacterial metabolisms and their importance for environmental sanitation, Reading, study and discussion of case studies, microbial metabolism and environmental sanitation.

**Water Systems Modeling** (4 Credit Units, 60 Credit hours)

Syllabus: The hydrological cycle. Systems and Models. Basin modeling. Models used in the management of water resources. Notions of quantitative techniques for the management of water resources.

**Fluvial Modeling and Hydrology Tools** (4 Credit Units, 60 Credit hours)

Syllabus: The hydrological cycle. Systems and Models. Basin modeling. Models used in the management of water resources. Notions of quantitative techniques for the management of water resources.

**Environmental Hydrodynamic Modeling** (4 Credit Units, 60 Credit hours)

Syllabus: Derivations of conservation equations of the mass of the momentum and the equations of Sant-Venant - Hypotheses, Mathematical models - Model of two-dimensional saint-Venant considerations and limitations of the model; One-dimensional model; Contour conditions; numerical solutions; Dispersion of pollutants (transport-diffusion equations of pollutants); use of Modeleur / Hydrosim software. Functionalities, data structure; data import, digital terrain model construction (MDT), MDT validation, hydrodynamic simulation, results analysis.

**Hydrological Modeling and Environmental Systems** (4 Credit Units, 60 Credit hours)

Syllabus: The hydrological cycle and the Hydrographic Basin; Small and Large Hydrographic Basins; Hydrological Models: of the Water Balance, Rainfall-Regression, linear and non-linear; Transposition of Rain-Flow Models; Regionalization of Flows; Probabilistic Models; Ecological flow modeling; Hydrosedimentological models based on the "Universal Soil Loss Equation.

**Water Resources Planning** (4 Credit Units, 60 Credit hours)

Syllabus: Water resources and their importance. Distribution of WR on the planet. Multiple uses of water. Planning and development. Planning of water resources. Planning steps and engineering. Hydric balance. The management of water resources Brazil. Legal and political aspects in the planning of water resources. Economic instruments for the management of water resources. Sustainability and water as an economic good. Multicriteria methods to environmental planning of water resources.

**Planning, Operation and Control of Sanitation Systems** (4 Credit Units, 60 Credit hours)

Syllabus: Presentation of the main characteristics of the sanitation systems components (water, sanitary sewage, solid waste and rainwater drainage) used in the municipalities, so that the planning, design, operation and maintenance stages of the component units of these systems are understood and evaluated. such as to enable the definition of the most suitable alternatives for municipalities in the Brazilian Amazon.

**Water Quality and Treatment** (4 Credit Units, 60 Credit hours)

Syllabus: Characteristics of waters. Treatment of water for supply. Coagulation. Flocculation. Sedimentation. Filtration. Disinfection.

**Special Topics of Water Resources: hydro and hydraulic** (4 Credit Units, 60 Credit hours)

Syllabus: Applied Hydrology Hydrological cycle. Notions of hydrometeorology. Mediation of hydrometeorological phenomena. Hydrographic basin, morphological and topographic characteristics. Precipitation. Evaporation. Infiltration. Potential evapotranspiration. Flows. Collection, analysis and processing of hydrological data. The hydrological balance of a river basin. Hydromechanical Property of fluids. Hydrostatic. Fluid dynamics. The viscosity and the resistance in the flows in free and forced conduits. Holes, nozzles and pourers. Similarity and theory of hydromechanical models.

**Aerobic Water Treatment** (4 Credit Units, 60 Credit hours)

Syllabus: Characterization of wastewater. Aerobic microorganisms involved in the aerobic biological. The process of activated sludge. Purpose of the activated sludge process. Study of the environmental and operational factors that influence the process of activated sludge. Kinetics of substrate consumption and growth of aerobic microorganisms. Variations of activated sludge processes. Activated Sludge Process Analysis and Control. Processes for removal of organic matter, nitrogen and phosphorus in activated sludge systems. Oxygen transfer in activated sludge systems (input devices, aeration mechanisms, Fick's Law, oxygen transfer coefficient). Operational problems of the activated sludge process. Aspects of liquid and solid phase separation in secondary decanter (sedimentation types, solids flow analysis, sedimentation rate, tank types, flow distribution). Mass balance in an ETE by activated sludge processes.

**Anaerobic Treatment of Wastewater** (4 Credit Units, 60 Credit hours)

Syllabus: Characterization of wastewater. Aerobic microorganisms involved in biological aerobic. The process of activated sludge. Study of the environmental and operational factors that influence the process of activated sludge. Kinetics of substrate consumption and growth of aerobic microorganisms. variations of activated sludge processes. Analysis and control of activated sludge process. process for the removal of organic matter, nitrogen and phosphorus in activated sludge system. Oxygen transfer in activated sludge systems (input devices, aeration mechanism, Fick's Law, Oxygen Transfer Coefficient). Operational problems of the activated sludge process. Aspects of liquid and solid phase separation in secondary decanter (Sedimentation types, solids flow analysis, sedimentation rate, tank types, flow distribution). Mass balance in an ETE by activated sludge processes.

**Effluent Treatment and Impact Control** (4 Credit Units, 60 Credit hours)

Syllabus: City and Environment; Urban Infrastructure Systems, Pollutants Generation x Contaminants in the urban area; wastewater treatment, Liquid waste treatment systems, Solid waste treatment and disposal systems, Water bodies in urban areas, Water quality control, Case studies.

**Valuation of Natural Resources and Environmental Services** (4 Credit Units, 60 Credit hours)

Syllabus: Introduction, general principles of economics, environmental economics, ontology and value perception, concepts and classification of natural resources and environmental services, main valuation methods, case studies.