Quantum Field Theory is a tool of critical importance in several areas including high energy physics and condensed matter physics. Students doing research in these areas would benefit greatly from the content of this course. To provide students with the basic elements of Quantum Field Theory that would allow them to use this important tool in their research. Institute of Physics (IF) São Paulo main campus Introduction to Quantum Mechanics. Introduction. Classical Theory of Fields. The need for Quantum Field Theory. Path integral in Quantum Mechanics. Functional methods and quantization of scalar theories. Functional integral for fermion fields. Aplications: relativistic and statistical (many body) systems. Interactions and perturbation theory. S matrix and cross sections. Quantization of gauge fields. Quantum electrodynamics. Renormalization and regularization. Renormalization group. Gustavo Alberto Burdman 40 PGF5107 12 Homework, final project. http://portal.if.usp.br/ifusp/en/welcome-ifusp

Plasma physics is used in modern technological applications, astrophysics and controlled thermonuclear fusion. In all these three topics, USP has research groups that could benefit from this course. Inicial formation in plasma physics for postgraduate students. Institute of Physics (IF) São Paulo main campus _Classical Mechanics and Electromagnetism (graduation level) 1. Basic concepts in plasma physics 2. Laboratory and astrophysical plasmas 3. Movement of charged particles in electromagnetic fields 4. Kinetic and fluid descriptions of magnetized plasmas 5. Magnetohydrodynamic equilibrium of tokamak plasmas 6. Waves in plasmas (fluid description) 7. Magnetohydrodynamic instabilities Gustavo Paganini Canal 50 PGF5112 12 Written exams and series of exercises. http://portal.if.usp.br/ifusp/en/welcome-ifusp

This discipline complement the study of evolution of dissipative dynamical systems presented during the graduation in Mechanics and other disciplines. The presented concepts and procedures are applied to non linear systems in classical physics and interdisciplinar science. Study the main chaotic dissipative systems in classical physics and their applications in interdisciplinary areas, applying the theory of chaos to characterize them. Reproduce numerical examples of the main results described in text books. Institute of Physics (IF) São Paulo main campus Graduation Chaotic trajectories in dynamical systems described by maps. Chaotic trajectories in dynamical systems described by differential equations. Fractals. Periodic, quase-periodic, and chaotic attractors. Linear stability. Routes to chaos: crisis, bifurcations, intermitency. Control of chaos. Ibere Luiz Caldas 40 PGF5202 12 Final grade determined by the average between grades from three numerical exercise lists and a seminar http://portal.if.usp.br/ifusp/en/welcome-ifusp

A knowledge of how life originated and evolved on Earth is of central importance in historical Sciences (Geology, Biologie, Astrobiologie). To obtain a general view of the interelated processes (geodynamic, climatic, oceanic, biological) involved in the evolution of the early Earth during the first 2.5 Ga of its history (Hadean, Archean, Early Proterozic). Institute of Geosciences (IGc) São Paulo main campus Less than 200 Ma after its formation, the Earth holds all the attributes of a modern Earth (core, protolithosphere, oceans and atmosphere). However, it will take nearly two billion years to shape terrestrial geodynamics and the major bio-geochemical cycles as we know them today. What happened between the two? When and how did the plate tectonics begin? How did life appear on Earth and in what environments? What are the first traces of life? Is there a link between crustal growth, the diversification of microbial life and the evolution of the composition of the atmosphere? Is oxygenation of the atmosphere and oceans of biological or abiotic origin? These are, among others, the questions we will address during this course, as follows: 1) 4.5-4.4 Ga, accretion and differentiation core-mantle, late veneer, formation of the Moon 2) 4.4-4.1 Ga, first zircons, first continents, first oceans 3) Early Earth geodynamics 4) Early Oceans 5) Early atmosphere 6) Early life Marly Babinski, Pascal Andre Marie Philippot 20 GMG5838 4 Oral presentation given by individual students on key scientific issues related to the evolution of the primitive Earth and early Life. A final written exam on http://www.igc.usp.br/index.php?id=101&L=2

This course deals with formation models for the main geotectonic provinces, how they are set in the past and in the present; the main characteristics of the continental and oceanic lithosphere using geophysical data and how to integrate this data to the tectonic knowledge of South American plate. This course aims to provide information on the main geotectonic provinces of South America and about the geophysical surveys in great scale. It is expected that the students can use all the information to infer relations among geology and geophysics. Institute of Astronomy, Geophysics and Atmospheric Sciences (IAG) São Paulo main campus 1. South American plate contextualization. 2. Continental and oceanic lithosphere. 3. Craton: concept and examples, South American Cratons. 4. Orogens: concept and examples; mobile belts: BSB, Paraguay-Araguaia, Mantiqueira, Borborema. 5. Patagonia. 6. Andes. 7. Basin: formation basic concepts; South American basins: Paran_, Chaco, Potiguar, Santos, Rec_ncavo- Tucano, Magalh_es. 8. Oceanic lithosphere. 9. Paleomagnetism. 10. Heat flow. 11. Crust and lithosphere thickness. 12. Effective lithosphere thickness. 13. Geoid. 14. Gravity. 15. Magnetic field. 16. Stress. 17. Seismicity at the South American and Nazca plates. Marta Silvia Maria Mantovani, Yara Regina Marangoni, Ricardo Ivan Ferreira da Trindade 30 AGG5937 9 Tests and seminars. http://www.iag.usp.br/international/

The goal of every astrophysical model is to provide a quantitative interpretation of astrophysical observations. This discipline is hence fundamental to students which aim to pursue their MSc, PhD and post-graduate studies in Astrophysics. Study the basic processes involved in the production of radiation that we receive from celestial bodies, as well as the interaction of this radiation with intervening matter. Institute of Astronomy, Geophysics and Atmospheric Sciences (IAG) São Paulo main campus Radiative Transfer. Radiation fields. Polarization of Light. Radiation from charged particles. System of Particles. Special Relativity. Bremsstrahlung. Synchrotron Radiation. Compton Scattering. Plasma Effects. Atomic radiative and collisional transitions. Astrophysical line emission processes. Stellar spectral line formation. Antonio Mario Magalhaes 30 AGA5731 11 http://www.iag.usp.br/international/

The aim of this course is the study of stellar populations in our Galaxy, and in other galaxies. The populations in our Galaxy, from the halo, bulge, thin and thick disks, can be studied in terms of their ages, metallicities, abundances, kinematics, and their evolution in time and space. We also introduce the basic ingredients of evolution of galaxies: stellar evolution, chemical evolution, and spectroscopy of individual stars and composite stellar populations. Different types of galaxies are studied: elliptical, spiral, irregular galaxies, and HII regions. The program is concluded with the analysis of composite spectra of galaxies, using codes from the literature. The distribution of stellar populations in galaxies is studied, making that these studies comprehend most objects in the Universe: the galaxies studied through the stars that form them. In astrophysics, it is therefore a fundamental course. Institute of Astronomy, Geophysics and Atmospheric Sciences (IAG) São Paulo main campus Basics of stellar evolution. Basics of nucleosynthesis. Formation and abundances of chemical elements. Basics of stellar dynamics. Models of chemical evolution of the Galaxy and galaxies in general. Evolution of stellar populations in the Galaxy. Star formation rate in galaxies, initial mass function. Stellar population synthesis and the Hubble diagram. Spectroscopy of composite stellar populations. Stellar populations in spiral, elliptical, lenticular, irregular and spheroidal dwarf galaxies. Beatriz Leonor Silveira Barbuy 25 AGA5740 11 http://www.iag.usp.br/international/

The observational activity is one of the pillars of Astrophysics, continuously feeding the theoretical elaboration. Observational training is essential both to researchers who produce the data as to theorists who should know evaluate them critically. Give to the graduate student fundamental notions of the instrumentation used in Astrophysics, as well as on observational techniques, data acquisition and reduction. In particular, give to the student conditions to plan the use of instrumentation to achieve specific scientific goals. Institute of Astronomy, Geophysics and Atmospheric Sciences (IAG) São Paulo main campus Effect of Earth’s atmosphere on observations in the optical and infrared; Telescopes and image quality; Effects of the interstellar medium; Detectors; Techniques of radio astronomy; Photometry; Spectroscopy; Elements of polarimetry ; Data acquisition handling; Space astronomy – X-rays Roberto Dell’Aglio Dias da Costa, Marcos Perez Diaz, Jorge Luis Melendez Moreno 30 AGA5802 11 Tests and practical exercises http://www.iag.usp.br/international/

In this course we will discuss the main scenarios for the formation and evolution of galaxies in order to enable the students to know the main recent advances in the area and also to expose them to the questions and challenges still open. Some content discussed in other disciplines, especially Extragalactic Astronomy, will be briefly reviewed. The question of the origin and evolution of galaxies is one of the most important research topics in the present day in extragalactic astronomy and cosmology, both theoretically and observationally. The techniques used are quite varied and useful in various areas of research. The course should provide the elements for students to track progress in this area Institute of Astronomy, Geophysics and Atmospheric Sciences (IAG) São Paulo main campus Review of the properties of galaxies: structure, stellar populations, scale relations, dependence on the environment. Review of cosmology concepts relevant to the course. Gravity instability and structure formation. The first stars. The reionization. Semi-analytical models of galaxy formation. Star formation. Chemical evolution. Photometric-photometric evolution. Mergers of galaxies. Evolution of Morphology. Analysis of observational data. Laerte Sodre Junior, Gastao Cesar Bierrenbach Lima Neto, Paula Rodrigues Teixeira Coelho 25 AGA5906 11 http://www.iag.usp.br/international/

General Relativity and Cosmology – Geometry and Line Element – The Smooth Expanding Universe – Cosmological Parameters, Lookback Time – Age of the Universe – Luminosity Distance – Supernovas and the Accelerating Universe – Angular Diameter Distance – ΛCDM and Alternative Models – Radiation Phase: Nucleossynthesis – Cosmic Relics – Horizons – Flatness and other Problems – Inflationary Scenarios – Baryogenesis – The Perturbed Expanding Universe – Galaxy Formation – Cosmic Background Radiation (CMB) and Power Spectrum. Institute of Astronomy, Geophysics and Atmospheric Sciences (IAG) São Paulo main campus Jos_ Ademir Sales de Lima 25 AGA5717 11 http://www.iag.usp.br/international/

Presentation of the basic analytic theories important for the study celestial motions. Necessary tool for research in theoretical Celestial Mechanics. Institute of Astronomy, Geophysics and Atmospheric Sciences (IAG) São Paulo main campus Canonical equations. Canonical transformations. Separable systems. Delaunay variables. The method of Von Zeipel. Lie series transformations. Hori-Deprit method. Extended phase space. Sylvio Ferraz de Mello 30 AGA5720 11 The discipline will have the participation of Prof. Ricardo Riguera. Full Professor of the Universidade de Santiago de Compostela. Prof. RIguera has experience in the area of chemistry of polymers. http://www.iag.usp.br/international/

The students will be introduced to the basic principles and application of heat and mass transfer engineering. The understanding from this course will lead to better understanding in distillation, absorption, liquid-liquid extraction, membrane separation, leaching, evaporation and other chemical processes. 1. Explain the equation, which relate to heat and mass transfer system for steady state and unsteady state conditions. 2. Calculate the rate of transfer (mass or heat) using empirical equations for every system. Malaysia-Japan International Institute of Technology UTMKL Lecture and Discussion, Cooperative Learning, Group Projects week 1, week 2 – 3, etc. AP Dr. Kenichi Yoneda conditional SMJC 2253 3 Sem 4 1. Geankoplis, C.J., 2003. Transport Processes and Separation Processes Principles, 4th Ed., Prentice Hall. 2. McCabe, W. L., Smith J.C. and Harriot, P., 1993. Unit Operation of Chemical engineering, 5th Ed., McGraw-Hill International, Assignment, Test, Final Examination AP Dr. Kenichi Yoneda mailto:kenichi@utm.my