2000

There is a great amount of real engineering problems whose governing equations do not allow the development of exact analytical solutions. The solution of these problems requires the implementation of approximate solutions by means of numerical methods. This course presents an introduction to numerical methods and is centered in the implementation of computational algorithms for the solution of engineering problems using these approximate methods. Different topics that occur in the solution of engineering problems, such as equation roots, linear systems of equations, optimization, numerical integration and differentiation, and problems that involve the solution of ordinary and partial differential equations, will be studied.

The monitoring is a distinction the University grants to students who excel in their academic studies and in their human condition. This distinction will allow them to take part on teaching and research processes.

The monitoring is a distinction the University grants to students who excel in their academic studies and in their human condition. This distinction will allow them to take part on teaching and research processes.

The course introduces the basic concepts of mass and energy balance and thermodynamics applied in the Environmental Engineering field. Included topics are: basic concepts and units, process variables, mass balance, general concepts in thermodynamics, pure substance,English,- properties, First Law of Thermodynamics, other thermodynamic concepts. At the end of this course, the student will be able to perform overall mass balances, and specifically to environmental processes. Understand the thermodynamic properties of pure substances. Perform energy balances of great importance in the environmental field.

The course objective is to train students in the application of basic concepts to understand the behavior of the structures most commonly used in civil works. After completing this course, students will be able to individually address any problem involving the static solution of deformable bodies and a clear understanding of its behavior. Topics being tackled include: types of structures and loads, idealization and modeling of structures, traditional methods, approximate methods, direct stiffness method, and lines of influence.

The course treat the dynamics of planet earth, understood as the dynamic of the planet and between its components. The course is divided in three parts: The lithosphere, the atmosphere, and the hydrosphere. The first part deals with the dynamics of the solid component of the,English,- planet from its origin as part of the solar system to the actual structure and composition of planet earth. The part corresponding to the atmosphere deals with the physical and chemical properties of it, clouds formation, precipitation, winds, sea currents, weather, climate change and atmospheric damage. The liquid component of earth deals with the processes on the earth surface and the surface layers of the sub ground related with the influence of water in landscape formation within the geomorphologic cycle.

The course deals with the basic concepts of soils mechanics and its application in conventional geotechnical structures design. The basic concepts of soils properties and composition have the purpose to get to physical explanations and mathematical descriptions of the behavior of soils under monotonic loads, making special emphasis in the non-linear response of soils. Soils classification, soils composition, effect of ground water in the behavior of geotechnical structures, distribution of geostatic stresses, induced and generated by the excavations, compressibility of different soil kinds and determination of the compressibility, rigidity and resistance parameters are part of the course.

The objective of the course is to introduce the students in the fluids topic, their physical properties and mechanical behavior. By the end of the course the student will be able to understand the fluid behavior in different engineering situations, based in the use of physics equations and numerical methods to facilitate the calculations. The fluid studied in the course is water, its applications, drinkable water supply problems, collection and evacuation of residual and pluvial water and hydraulic structure operation among others. During the course the student will use concepts as open channel hydraulics, hydrology, river hydrology, hydraulic structures and groundwater, and will use concepts and equations of mass, momentum and energy conservation are introduced in the context of fluids. Particular emphasis will be made in friction loss and its effect on the design of engineering systems related with water treatment. In,English,- general, the following topics are covered: fluids properties, fluids statics, fluid kinematics and conservation laws, behavior of real fluids (shear stresses, velocity distribution and energy loss), dimensional analysis and dynamic similarity, flux in pressurized pipes, pipes design, applications.

Hydraulics course aims to introduce the student to the concepts of water movement mechanics in open flumes, to subsequently be able to understand the behavior of this flow in the different applications of civil and environmental engineering, particularly in relation to drinking water supply and collection and disposal of wastewater in an urban environment. Other applications are hydraulics of rivers, irrigation districts and hydraulic structures associated with dams, treatment plants and pumping stations. The topics covered in the course are: application of the conservation equations of mass, momentum and energy, learned in the course of fluid mechanics, the case of free surface flows, specific energy and specific momentum channels, uniform flow in pipes flowing partially full and natural channels artificial gradually varied flow, rapidly varied flow and its impact on hydraulic structures, design of hydraulic structures, unsteady flow in open channels.

This course studies the principles of physical-chemical treatment of drinking waters. The course provides a basis for the analysis and dimensioning of conventional treatment technologies using theoretical concepts and technical recommendations.

This course presents an introduction to microbiology and its application possibilities in biological processes within environmental engineering. The basic concepts and fundamentals for the design of some biological processes on environmental engineering are studied.