Upon completing this course, the student should master the main concepts of Linear Algebra and Analytic Geometry. Namely, he must understand, be able to work with and use the main properties of the concepts of matrix, determinant, vector space and linear map.

The course promotes the development of personal skills in Communication in Science, through the preparation of reports and scientific papers and the preparation and presentation of oral or poster communications.

The objectives are:

• emphasize the importance of an effective communication;
• develop skills in the use of bibliographic research tools, text editing, graphics composition, data analysis, error analysis and other elements to support communication;
• develop skills to summarize a short communication and meet submission and peer-review deadlines;
• develop skills to produce a communication from a paper and present it orally or on poster;
• develop active learning skills in a cooperative environment and group work skills.

This course aims to present the concepts and the basic principles of Classic Mechanics, and relativity, with emphasis on  understanding and application in the analysis of  real world situations . Students should have the ability to manipulate fundamental concepts and knowi how to apply them to solve problems. Students will be motivated to consider the principles of Mechanics in other areas of knowledge and in technology. Particular attention will be paid to training in problem solving by familiarizing students with heuristics and modes of thinking of experienced physicists.

In this course the students will:
1. Get acquainted with personal computers in the GNU/Linux operating system and their usage;
2. Learn how to write computer programs using Python and execute them in a terminal.
3. Acquire competence in the implementation of simple algorithms;
4. Acquire good code structuring and programming style;
5. Learn some basic data structures and algorithms;
6. Get acquainted with program debugging and testing.

• Learn the basics of Electromagnetism
• Derive and present the laws and methods of Electromagnetism under a phenomenological perspective
• Establish links and parallels between Electromagnetism and Mechanics, using concepts such as force and energy
• Emphasize the relevance of the concept of field in the formulation of the laws of Electromagnetism, as an entity responsible for the mediation of physical interactions
• Apply, in the context of Electromagnetism, the concepts and methods of Vector Analysis and Integral Calculus in space
• Present and describe relevant applications of Electromagnetism in Science and Technology

The main objective of this course is to show the importance of Chemistry and its pervasive influence in other branches of Science. For that, structuring topics will be addressed that allow students to understand the structure and properties of matter and to interpret the phenomena of chemical transformation.

Complement previous programming knowledge in an interpreted language (Python) with specific formation for programming in a low-level and compiled language (C ). After this unit, students should be able to:

1. Translate basic Python programs into the C language;
2. Use C programming development tools (compiler, debugger);
3. Use base functionalities from the C standard library for string processing and I/O;
4. Understand the concept of pointers and use them in programs that process elementary data structures (arrays and linked lists).

Introduction to methods of solving ordinary differential equations with emphasis on equations and systems of linear differential equations. 
Study of surfaces, line integrals and surface integrals, and study of classical theorems of Vector Analysis: Green's theorem, divergence Gauss theorem and Stokes theorem.

Introduction to thermal Physics. Basics on classical thermodynamics and statistical mechanics. Applications to simple classical and quantum systems.

• Train ideas and methods of wave mechanics, elasticity and hydrodynamics. • Understand the linear coupling between oscillators and the basic of normal modes. • Understand the concept of wave, its description and application in various areas of physics. • Perform Fourier analysis, as well as understand its importance in the study of linear waves. • Understand the result of overlapping waves and the phenomenon of interference and diffraction. • Understand the concepts of phase velocity and group velocity and the concept of dispersion. • Understand and describe the state of deformation and the stresses applied in isotropic elastic body, as well as relate the two. • Analyze simple problems of fluid dynamics and fluids in equilibrium. • Connecting to technology issues.

• Choose the equipment needed for recording
• Working with audio recording software
• Define and create a graphic line for the podcast
• Record a podcast in various settings/formats
• Edit, Mix, and Master Podcast Audio
• Host the podcast for future broadcasting
• Publish and broadcast the podcast on the platforms available for this purpose
• Analyze podcast audience

1. contribute to personal and professional training more suited to the demands of the labor market
2. promote self-knowledge and critical and constructive analysis regarding their employability skills in order to become active subjects in the construction of their sustainable personal and professional projects/paths and promote proactive attitudes towards the job market and qualifying training;
3. raise participants awareness to the importance of networking and entrepreneurial attitudes in their personal and professional projects;
4. foster strategic planning and career management skills (employment for others and/or self-employment);
5. raise participants awareness to the strategic principles of personal, professional and social image management
6. by processes of individual analysis and reflection, to promote skills to develop an application process for an offer and personal marketing instruments and positioning message, reflecting the participant's uniqueness and considering the specifics of the sector, institution and function to which if you intend to apply;
7. promote experimentation with current and emerging selection processes (techniques for being in the interviews; and group dynamics; video-interviews)

The students will be introduced to a set of computational methods and to its application in several fields of Physics and Engineering.

To understand the inadequacy of classical concepts in the interpretation of some experimental results and the need for a new formulation of physics. To introduce wave mechanics, making applications to one-dimensional systems. To understand the atomic structure and atomic processes. To Study applications of quantum physics in astrophysics, condensed matter and/or optics.

Laboratory Practice in Physics and Electronics.

Familizarization of students with aspects of electronics and instrumentation needed to carry out experimental work, through the execution of a set of representative works in Physics and Electronics, including analysis of experimental data, calculation of errors, graphical representation  and critical evaluation of the obtained results;

Promotion of the search of information relevant to the experimental work;

Preparation and writing of reports of experimental activities;
Development of group work skills.

Upon completing this course, the student should:

- have a good insight of the fundamental concepts and principles of statistics, and in particular those from basic inference statistics.

- know the common inference statistical  methods and how to apply them to concrete situations;

It is also expected that the student acquires familiarity with the programing language and software environment R, in the framework of problems solving.

• Understand the concept of information, the process that led to its quantification and coding in the form of a signal

• Understand what is meant by system and the universality of its characteristics;

• Know the methodologies and the physical/mathematical techniques to study the properties of signals and important systems in physics and engineering.

• Understand the central characteristics of linear and time invariant systems (SLIT);

• Master the behavior of SLIT systems actuated by continuous or discrete signals, including the actual situation in which signals are degraded by noise;

• Understand the fundamental principles of systems control and the techniques and procedures used for your study;

• Understand the wide domain of application of the principles, methodologies and techniques studied;

• Acquire skills to work effectively in applications involving systems, as well as proceed to further studies in this area;

• To internalize the level of complexity that a system may have considering two examples: the Earth System and the Biological Cell System.

To get familiar with the ideas and methods of statistical physics. To introduce the fundamental results of classical and quantum statistical physics of systems in equilibrium. To discuss some applications of statistical physics to classical and quantum systems.

• expand the skills in precision laboratory measurement equipment (lock-in, LCR meter, Hall Sensors, Geiger...)
• introduce techniques for measurement and analysis of radioactive processes;
• introduce precision optical measurement techniques, in particular: interferometry, spectroscopy.
• introduce advanced methods of measuring the physical properties of condensed matter at different cryogenic temperatures and high temperatures.
• use efficiently automatic data acquisition systems.

• Learn methods and algorithms used in numerical simulation in physics/physical engineering.
• Analyze a set of problems in different areas of physics/physical engineering in view of their numerical solution.
• Build models fo the  problems.
• Describe and apply some basic numerical techniques.
• Contact with simulation methods.

The objective of this curricular unit is to provide students with the possibility of working as a team, pe rforming tasks similar to those they will encounter after completing the course.

Students will develop a small project that will integrate several of the multidisciplinar skills they have acquired.