4000

Electric and Electronical Department’s master degree program seminar. This is a mandatory seminar for all students and it’s coordinated by the different research groups. In this seminar, the student gets to know research projects being developed by the groups and begins to gradually develop his/her proposal under a teacher’s guidance.

Electric and Electronical Department’s master degree program seminar. This is a mandatory seminar for all students , which is coordinated by different research groups. In this seminar, students get to know research projects being developed by the groups and begin to develop their research work to report on their progress and receive the group’s comments, advise and suggestions.

Seminar o the Electric and Electronical Master`s Degree program. This is a mandatory seminar for all students and it is coordinated by different research groups. In this seminar, the students get to know research projects being developed by the groups and begins to develop research work to communicate their progress and receive feedback, directions and suggestions.

This is a special or regular course taken by the student under a teacher-tutor’s guidance individually or in small groups, which can be used to supplement the concentration area or support the research project.

A study supervised by an advisor teacher about issues or topics within the students` focus and research area, aimed at complementing their concentration area or at complementing their preparation for the research project. At the beginning of the academic term, the student submits a proposal with the project’s objectives and scope, its methodology, expected results and the mechanism defined by the advisor for its development follow-up.

The course objective is to bring in the base methods for the analysis of dynamic linear systems with several entries and exits through linear algebra review, system’s mathematical descriptions, dynamic linear equations solutions, stability, controllability, observability and canonic forms of a system with multiple variables, transference matrix, representation by differential operator and multivariable control.

The course’s main objective is providing the student with tools to identify the main features of typical stochastic processes and allowing them to analyze and design dynamic systems with uncertain variables. The course initially presents a profitability theory review with definitions, axioms, random variables concepts , distribution functions and profitability density, random variable functions, conditional moments and statistics, and random and statistical variable sequences basic concepts. The course focuses on stochastic processes and power spectrum general concepts, the study of basic processes such as Brownian movement, Poisson processes, white noise and Markov processes. Ergodicity and seasonability concepts. Stochastic differential and stochastic integration equations solving and linear systems with stochastic entries integration. Stochastic processes spectral representation. Orthogonality principle, filters, estimates and prediction.

This course is an introduction to optimization techniques usually required to be used to solve problems in several engineering areas. It addresses non-restricted optimization problems and the main solving methods for this type of problems. It also addresses linear programming, including simplex method and applications to transport and flow problems. Finally, it will bring in basic restricted non-linear programming concepts.

This course covers models, methods and algorithms on machines (computers) learnt based on their experience. Mathematical learning models will be studied, based on which the fundamental elements of this type of systems from the statistical and computer standpoints. Based on the study of theory, methods of the status of art will be introduced, which are currently used with success in applications to actual problems in function classification, regression and approximation.

Graduation Project first term.

Graduation Project second term

The objective of this course is to provide students with an introduction in the field of high speed transient electromagnetic phenomena that take place in power systems due to atmospheric phenomena. This way students can apply mathematical methods for their analysis and determination of protections against surges with these characteristics.

Present, analyze and propose the concepts and methods needed to setup an economic, social and environmentally sustainable energy policy. Assimilate the main aspects of the problems associated with management in the energy context, within the new market context and in accordance with the new game rules and the sector organization. The discussion will be organized in three major topics: i- Sustainability concept and concepts related to energy systems and the energy chain. The aspects related to the assignment and utilization of energy resources in production, transformation, distribution and power consumption activities are identified. Natural resource and environmental economy (based on the economic functions of the environment) and energy balance concepts (sources, final and useful energy and losses are reviewed. A panorama of the international and Colombian energy systems is made and the international agreements regarding economic and environmental matters are examined, as well as their incidence and opportunities on the energy sector. Ii- The methodologies and tools designed to support the preparation of a sustainable energy policy are assessed, taking into consideration the technology, economic, social and environmental aspects, and taking into account the multiplicity of agents and interests involved in decision-making, the asymmetries of information and the existing limits to define such policy. The top-down and bottom-up support models for analysis will be reviewed – and the scenario technique. Iii- The restructuring processes carried out in the energy sector are discussed – changes in copyrights, activity disaggregation (des-regulation and new organization). The theories of regulation on the different State intervention means and the microeconomy fundamentals of market operation and monopoly activities are reviewed. Special emphasis is given to the rules to ensure freedom of access and to avoid restrictive practices of the competition and unfair competition, as well as the application of price regulation.

Current developments in the interaction of electronic and mechanical elements in micrometric scales have generated the microsystem concept (MST) /MEMS (micro-electromechanical system). The course is aimed at familiarizing the student with basic terms and concepts at the level of physical-mechanical parameters escalation, top-down manufacture simulation, CAD tools and applications management in the microsystems area. Tutorial work will be developed for the design of mechanical, electric, magnetic and thermal actuators that will enable the student to gain experience in description and multi-physical design of MST, using the ANSYS tool. At the end of the course, the student will have the opportunity to concentrate on a research Project.

An in-depth treatment of the current communications digital systems is presented. Topics include, among others, the representation of deterministic and random signals, modulation and de-modulation schemes, including the current schemes, equalization, spectral properties, error correction codes, communication channel characteristics, applications.