Curriculum

Basic bibliography:

1. JURAFSKY, D.; MARTIN, J. H. Speech and Language Processing: An Introduction to Natural Language Processing, Computational Linguistics, and speech recognition with language models. 3. ed. 2025. Available at: https://web.stanford.edu/~jurafsky/slp3. Accessed on: May 21. 2025.
2. MITKOV, R. (Ed.). The Oxford handbook of computational linguistics. Oxford: Oxford University Press, 2022.
3. VASILIEV, Y. Natural language processing with Python and spaCy: A practical introduction. No Starch Press, 2020.

Complementary bibliography:

1. BIRD, S.; KLEIN, E.; LOPER, E. Natural language processing with Python: analyzing text with the natural language toolkit. Sebastopol: O’Reilly Media, 2009.
2. DICKINSON, M. et al. Language and computers. 2. ed. Berlin: Language Science Press, 2024.
3. HAUSSER, R. Foundations of computational linguistics. 3. ed. New York: Springer-Verlag Telos, 2014.
4. MANNING, C.; SCHUTZE, H. Foundations of statistical natural language processing. Cambridge, MA: MIT Press, 1999.
5. RAMALHO, L. Fluent Python: Clear, Concise, and Effective Programming. O’Reilly Media. 2. ed. Beijing; Boston: O’Reilly, 2022.

Basic bibliography:

1. HEILBRON. J. L. (Org.) The Oxford companion to the history of modern Science. Oxford: Oxford University Press, 2003.
2. IVANOVA, M.; FRENCH, S. (Orgs.) The aesthetics of science: beautiful, imagination and understanding. Abingdon, UK: Routledge, 2020.
3. SKORTON, D.; BEAR, A. (eds.) The integration of the humanities and arts with sciences, engineering, and medicine in higher education: branches from the same tree. Washington, DC: The National Academies Press, 2018.

Complementary bibliography:

1. ABBOTT, A. Chaos of disciplines. Chicago: University of Chicago Press, 2001.
2. CHAVES, C. A. U. Liberal arts and sciences: thinking critically, creatively, and ethically. Bloomington, IN: Trafford Publishing, 2014.
3. FISCHER, P. et al. Natures of data: A discussion between biologists, artists and science scholars. Zurich: Diaphanes, 2020.
4. FRIGG, R.; HUNTER, M. Beyond mimesis and convention: representation in art and science (Boston studies in the philosophy and history of science, 262). New York: Springer, 2010.
5. OAKIM, P. Art made in code: a case study of the Processing programming language and its use by artist-programmers. São Paulo: Editora Intermeios, 2019.
6. SCHIMIDT, J. Leonardo da Vinci: scientific art and artistic science. São Paulo: Insular, 2024.
7. STROSBERG, E. Art & science. New York: Abbeville Press, 2015.

Basic bibliography:

1. KADOSH, R.; DOWKER, A. (eds.). The Oxford handbook of numerical cognition. Oxford: Oxford University Press, 2015.
2. NIEDER, A. A brain for numbers: The biology of the number Instinct. Cambridge, MA: The MIT Press, 2019.
3. NUNES, T.; DORNELES, B. V.; LIN, P. J.; RATHGEB-SCHIERER, E. Teaching and learning about whole numbers in primary school. New York: Springer, 2016.

Complementary bibliography:

1. BARNER, D.; BARON, A. S. (eds.). Core knowledge and conceptual change. New York: Oxford University Press, 2016.
2. DEHAENE, S. The number sense. How the mind creates mathematics. New York: Oxford University Press, 2011.
3. HOLYOAK, K. J.; MORRISON, R. G. (eds.). The Cambridge handbook of thinking and reasoning. Cambridge, UK: Cambridge University Press, 2005.
4. TALL, D. How humans learn to think mathematically: exploring the three worlds of mathematics. Cambridge, UK: Cambridge University Press, 2013.
5. VIANA, M. Histories of mathematics: from counting fingers to artificial intelligence. São Paulo: Tinta da China, 2024.

Basic bibliography:

1. GARDNER, H. Frames of the mind: the theory of multiple intelligence. New York: Basic Books, 2011.
2. HARARI, Y. N. Nexus a brief history of information networks, from the stone age to artificial intelligence. São Paulo: Companhia das Letras, 2024.
3. SCARDIGLI, F. (org.) Artificial intelligence versus natural intelligences. New York: Springer, 2022.

Complementary bibliography:

1. DUBBER, M. D.; PASQUALE, F.; DAS, S. The Oxford handbook of ethics of AI. Oxford: Oxford University Press, 2020.
2. FODOR, J. A. The modularity of mind. Cambridge, MA: The MIT Press, 1983.
3. HAIER, R. J. The neuroscience of intelligence. Cambridge: Cambridge University Press, 2016.
4. HERMEREN, G. Art and artificial intelligence. Elements in bioethics and neuroethics. Cambridge, UK: Cambridge University Press, 2024.
5. SCHEIER, C.; PFEIFER, R. Understanding intelligence. Cambridge, MA: The MIT Press, 2001.

Basic bibliography:

1. SAKURAI, J. J. Modern Quantum Mechanics. 3. ed. Cambridge; New York: Cambridge University Press, 2021.
2. MERZBACHER, E. Quantum Mechanics. 3. ed. New York: John Wiley, 1987.
3. COHEN-TANNOUDJI, C., DUPONT-ROC J.; GRYNBERG, G. Photons and atoms: Introduction to quantum electrodynamics. New York: John Wiley&Sons, 1997.

Complementary bibliography:

1. SAKURAI, J. J. Advanced Quantum Mechanics. São Paulo: Pearson, 2006.
2. COHEN-TANNOUDJI, C; DIU B. E.; LALOË F. Quantum MechanicsAngular Momentum, Spin, and Approximation Methods. Vo.2. 2. ed. Weinheim: Wiley-VCH, 2020.
3. LE BELLAC, M. Quantum Physics. Cambridge: Cambridge University Press, 2006.
4. GOTTFRIED, K. Quantum Mechanics Fundamentals. Vol. I. New York: Springer, c2003.
5. MILONNI, P. W. An Introduction to Quantum Electrodynamics. Boston: Academic Press, 1994.

Basic bibliography:

1. SCHUTZ, B. F. A First Course in General Relativity. 2. ed. Cambridge: Cambridge University Press, 2009.
2. WALD, R. M. General Relativity. Chicago: The University of Chicago Press, 1984.
3. MISNER, C, W.; THORNE, K. S.; WHEELER, J. A. Gravitation. Princeton, N.J.: Princeton University Press, 2017.

Complementary bibliography:

1. HARTLE, J. B. Gravity: An Introduction to Einstein’s General Relativity. Harlow: Pearson, 2003.
2. WEINBERG, S. Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. New York: John Wiley & Sons, 1972.
3. TAYLOR, E. F.; WHEELER, J. A. Spacetime Physics. 2. ed. New York: W. H. Freeman, 1992.
4. RYDEN, B. Introduction to Cosmology. 2. ed. Cambridge: Cambridge University Press, 2016.
5. ROVELLI, C. General Relativity: The Essentials. Cambridge: Cambridge University Press, 2021.

Basic bibliography:

1. PEEBLES, P. J. E. Principles of Physical Cosmology. Princeton: Princeton University Press, 1993.
2. KOLB, E. W.; TURNER, M. S. The Early Universe. Boca Raton: Taylor & Francis, 1990.
3. PADMANABHAN, T. Structure Formation in the Universe. Cambridge: Cambridge University Press, 1993.

Complementary bibliography:

1. SANDAGE, A. R.; KRON, R. G.; LONGAIR, M. S. The Deep Universe. Berlin: Springer-Verlag, 2010.
2. RYDEN, B. Introduction to Cosmology. 2. ed. Cambridge: Cambridge University Press, 2016.
3. WEINBERG, S. Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. New York: John Wiley &Sons, 1972.
4. PEACOCK, J. A. Cosmological Physics. Cambridge: Cambridge University Press, 1999.
5. ROWAN-ROBINSON, M. Cosmology. 4. ed. Oxford: Clarendo Press, 2004.

Basic bibliography:

1. ARNOLD, V. I. Mathematical methods of classical mechanics. Graduate Texts in Mathematics. 2. ed. Berlin: Springer-Verlag, 1989.
2. DE AGUIAR, M. A. M. Topics in Classical Mechanics. São Paulo: Editora Livraria da Física, 2011.
3. WRESZINSKI, W. F. Modern Classical Mechanics. São Paulo: EDUSP, 1996.

Complementary bibliography:

1. ALLIGOOD, K. T.; SAUER, T. D.; YORKE, J. A. Chaos. An Introduction to Dynamical Systems . New York: Springer, 1996.
2. ADDISON, P. S. Fractals and Chaos: An illustrated course. Boca Raton: CRC Press, 1997.
3. OSORIO DE ALMEIDA, A. M. Hamiltonian systems: chaos and quantization. Cambridge: Cambridge University Press, 1988.
4. HOFER, H.; ZEHNDER, E. Symplectic Invariants and Hamiltonian Dynamics. Basel: Birkhäuser Basel, 2011.
5. WHITTAKER, E. T. A Treatise On the Analytical Dynamics of Particles and Rigid Bodies: With an Introduction to the Problem of Three Bodies. 2. ed. South Carolina: BiblioLife LLC, 2018.

Basic bibliography:

1. COHEN-TANNOUDJI, C., DUPONT-ROC J.; GRYNBERG, G. Photons and atoms: Introduction to quantum electrodynamics. New York: John Wiley&Sons, 1997.
2. MANDEL, L.; WOLF, E. Optical Coherence and Quantum Optics. Cambridge: Cambridge University Press, 1995.
3. ALLEN, L. ; EBERLY, J. H. Optical Resonance and Two-Level Atoms. New York: Wiley, 1975.

Complementary bibliography:

1. NUSSENZVEIG H. M. Introduction to Quantum Optics. New York: Gordon and Breach, 1973.
2. WALLS, D. F.; MILBURN, G. J. Quantum Optics. Berlin: Springer, 1994.
3. COHEN-TANNOUDJI, C, DUPONT-ROC J.; GRYNBERG, G. Atom-Photon Interactions: Basic Processes and Applications. New York: John Wiley & Sons, 1998.
4. DIOSI, L. A Short Course in Quantum Information Theory: An Approach From Theoretical Physics. Berlin: Springer-Verlag, 2010.
5. BERGOU, J. A.; HILLERY, M.; SAFFMAN, M. Quantum Information Processing: Theory and Implementation. 2.ed. Berlin: Springer-Verlag, 2021.

Basic bibliography:

1. CHENG, T. P.; LI, L. F. Gauge Theory of Elementary Particle Physics. Oxford: Clarendon Press, 1999.
2. CHAICHIAN, M.; NELIPA, N. F. Introduction to Gauge Field Theories. Berlin: Springer-Verlag, 1984.
3. LEE, T. D. Particle Physics and Introduction to Field Theory. Boca Raton: Taylor & Francis, 2004.

Complementary bibliography:

1. RYDER, L. H. Quantum Field Theory. 2. ed. Cambridge: Cambridge University Press, 1996.
2. BJORKEN, J. D.; DRELL, S. D. Relativistic Quantum Mechanics. New York: McGraw-Hill, 1965.
3. ITZYKSON, C.; ZUBER, J.-B. Quantum Field Theory. New York: McGraw-Hill, 1980.
4. WEINBERG, S. The Quantum Theory of FieldsFoundations. Vol. 1. Cambridge: Cambridge University Press, 2005.
5. SREDNICKI, M. A. Quantum Field Theory. Cambridge: Cambridge University Press, 2007.

Basic bibliography:

1. SIMON, S. H. The Oxford solid state basics. Oxford: Oxford University Press, 2013.
2. ASHCROFT, N. W.; MERMIN, N. D. Solid state physics. California: Brooks/Cole, 1976.
3. SNOKE, D. W. Solid state physics: Essential concepts. 2. ed. Cambridge: Cambridge University Press, 2020.

Complementary bibliography:

1. KITTEL, C. Introduction to solid state physics. 8. ed. New York: Wiley, 2004.
2. ZIMAN, J. M. Principles of the theory of solids. 2. ed. Cambridge: Cambridge University Press, 1972.
3. VANDERBILT, D. Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators. Cambridge: Cambridge University Press, 2018.
4. OWENS, F. J. Physics of Low Dimensional Materials. New Jersey: World Scientific, 2017.
5. SHEN, S.-Q. Topological Insulators: Dirac Equation in Condensed Matter. 2. ed. Berlin: Springer-Verlag, 2012.

Basic bibliography:

1. HALZEN F.; MARTIN, A. D. Quarks and Leptons: An Introductory Course in Modern Particle Physics. New York: John Wiley & Sons, 1984.
2. RENTON, P. Electroweak Interactions: An Introduction to the Physics of Quarks and Leptons. Cambridge: Cambridge University Press, 1990.
3. CHENG, T. P.; LI, L. F. Gauge Theory of Elementary Particle Physics. Oxford: Oxford University Press, 1984.

Complementary bibliography:

1. NACHTMANN, O. Elementary Particle Physics. Berlin: Springer Verlag, 1990.
2. SCHWICHTENBERG, J. Physics from symmetry. 2. ed. Berlin: Springer-Verlag, 2018.
3. SAKURAI, J. J. Advanced quantum mechanics. São Paulo: Pearson, 2013.
4. BARGER, V. D.; PHILLIPS, R. J. N. Collider Physics. Menlo Park: Addison-Wesley, 1996.
5. PERKINS, D. Introduction to High Energy Physics. 4. ed. Cambridge: Cambridge University Press, 2000.

Basic bibliography:

1. BRANSDEN, B. H.; JOACHAIN, C. J. Physics of atoms and molecules. 2. ed. São Paulo: Pearson, 2003.
2. SLATER, J. C. Quantum Theory of Atomic Structure. New York: McGraw-Hill, 1960.
3. DEMTRÖDER, W. Atoms, Molecules and Photons: An Introduction to Atomic- Molecular- and Quantum Physics. 2. ed. New York: Springer, 2006.

Complementary bibliography:

1. DEMTRÖDER, W. Laser Spectroscopy: Basic Principles. Vol. 1. 4. ed. New York: Springer, 2008.
2. METCALF, H. J.; VAN DER STRATEN, P. Laser Cooling and Trapping. New York: Springer, 1999.
3. YARIV, A. Quantum Electronics. 3. ed. New York: Wiley, 1991.
4. ATKINS, P. W.; FRIEDMAN, R. S. Molecular Quantum Mechanics. 5. ed. Oxford: Oxford University Press, 2011.
5. KARPLUS, M.; PORTER, R. N. Atoms and Molecules. San Francisco: Benjamin-Cummings Pub Co, 1970.

Basic bibliography:

1. LARK-HOROVITZ, K.; JOHNSON, V. A (eds.). Solid State Physics. Methods in Experimental Physics: Volume 6A and 6B. New York: Academic Press, 1959.
2. COLEMAN, R. V. (ed.). Methods in Experimental Physics: Solid State Physics. Volume 11. New York: Academic Press, 1974.
3. WILLIAM, D. (ed.). Methods in Experimental Physics: Spectroscopy. Volume 13A and 13B. New York: Academic Press, 1976.

Complementary bibliography:

1. LEVENSON, M. D. Introduction to Nonlinear Laser Spectroscopy. New York: Academic Press, 1982.
2. KITTEL, C. Introduction to solid state physics. 8. ed. New York: Wiley, 2004.
3. O’HANDLEY, R. C. Modern Magnetic Materials, Principles and Applications. New York: John Wiley and Sons, 1999.
4. IWASA, Y. Case Studies in Superconducting Magnets. New York: Plenum, 1994.
5. WILSON, M. N. Superconducting Magnets. New York: Oxford University Press, 1987.

Basic bibliography:

1. KOWALSKI, E. Nuclear Electronics. Berlin: Springer-Verlag, 1970.
2. LEO, W. R. Techniques for Nuclear and Particle Physics Experiments. Berlin: Springer-Verlag, 1994.
3. KNOL, G. F. Radiator Detection and Measurement. New York: Wiley, 2010.

Complementary bibliography:

1. LYONS, L. Statistics for Nuclear and Particle Physics. Cambridge: Cambridge University Press, 1986.
2. LUPTON, R. Statistics in Theory and Practice. Princeton: Princeton University Press, 1993.
3. BARGER, V. D.; PHILLIPS, R. J. N. Collider Physics. Menlo Park: Addison-Wesley, 1996.
4. PERKINS, D. Introduction to High Energy Physics. 4. ed. Cambridge: Cambridge University Press, 2000.
5. HALZEN F.; MARTIN, A. D. Quarks and Leptons: An Introductory Course in Modern Particle Physics. New York: John Wiley & Sons, 1984.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography:

1. MUNKRES, J. Topology. 5. ed. Princeton, N.J.: Princeton University Press, 1966.
2. MENDELSON, B. Introduction to Topology. New York: Dover Publications, 1990.
3. LIMA, E. L. Metric Spaces. Rio de Janeiro: IMPA, 2020.

Complementary bibliography:

1. LIMA, E. L. Elements of general topology. 4. ed. Rio de Janeiro: SBM, 2024.
2. HÖNIG, C. S. Applications of Topology to Analysis. 1. ed. Rio de Janeiro: IMPA, 1976.
3. SIMMONS, G. F. Topology and Modern Analysis. New York: McGraw-Hill, 1963.
4. DIEUDONNÉ, J. Foundations of Modern Analysis. New York: Academic Press, 1969.
5. LIMA, E. L. Fundamental Groups and Covering Spaces. Euclid Project. Rio de Janeiro, IMPA, 2006.

Basic bibliography:

1. BACHMAN, G.; NARICI, L. Functional Analysis. New York: Academic Press, 1966.
2. DUNFORD, N.; SCHWARTZ, J. Linear Operators. Vol. 1. New York: Wiley Interscience Press, 1966.
3. RUDIN, W. Functional analysis. International Series in Pure and Applied Mathematics. 2. ed. New York: McGraw-Hill, Inc., 1991.

Complementary bibliography:

1. REED, M., SIMON, B. Methods of Modern Mathematical. Vol. 1. New York: Academic Press, 1972.
2. RIESZ, F.; NAGY, B. Functional Analysis. New York: Frederick Ungar, 1955.
3. CONWAY, J. B. A Course in Functional Analysis. 2. ed. New York: Springer, 2019.
4. KREYSZIG, E. Introductory Functional Analysis with Applications. New York: John Wiley & Sons, 1991.
5. OLIVEIRA, C. R. de. Introduction to Functional Analysis. 1. ed. Rio de Janeiro: IMPA, 2018.
6. PELLEGRINO, D. M.; TEIXEIRA, E. V.; BOTELO, G. M. de A. Fundamentals of Functional Analysis. 3. ed. Rio de Janeiro: SBM, 2023.

Basic bibliography:

1. GUILLEMIN, V.; POLLACK, A. Differential Topology. Englewood Cliffs, N.J.: Prentice-Hall, [1974].
2. MILNOR, J. Topology from the Differentiable Viewpoint. Charlottesville: Princeton Univ. Press, 1969.
3. HIRSH, M. Differential Topology. Graduate Texts in Mathematics, 33. New York: Springer-Verlag, 1976.

Complementary bibliography:

1. LEE, J. M. Introduction to Smooth Manifolds. New York: Springer, 2012.
2. MUKHERJEE, A. Differential topology. 2. ed. Basel: Birkhauser, 2015.
3. LIMA. E. L. Introduction to Differential Topology. Rio de Janeiro, IMPA, 2005.
4. TU, L. W. An introduction to manifolds. New York: Universitext. Springer, 2008.
5. SPIVAK, M. A Comprehensive Introduction to Differential Geometry. Vol. 1. Berkeley: Publish or Perish, 1979.

Basic bibliography:

1. LEE, J. Introduction to Smooth Manifolds. New York: Springer, 2012.
2. TU, L. An introduction to Manifolds. New York: Springer, 2010.
3. SPIVAK, M. A Comprehensive Introduction to Differential Geometry. Vol. 1. Berkeley: Publish or Perish, 1979.

Complementary bibliography:

1. LEE, J. M. Introduction to Topological Manifolds. New York: Springer, 2010.
2. LEE, J. M. Introduction to Riemannian Manifolds. Graduate Texts in Mathematics. New York: Springer, 2018.
3. JOST, J. Riemannian Geometry and Geometric Analysis. 7. ed. New York: Springer, 2017.
4. SPIVAK, M. Calculus on Manifolds. New York: Benjamin, 1965.
5. LIMA, E. L. Basic homology. Euclid Project. Rio de Janeiro: IMPA, 2009.

Basic bibliography:

1. BOLLOBÁS, B. Modern Graph Theory. New York: Springer, c1998.
2. ALON, N.; SPENCER, J. H. The Probabilistic Method. 3. ed. Hoboken, N.J.: Wiley, c2008.
3. MORRIS, R. Extremal and Probabilistic Combinatorics. Rio de Janeiro: IMPA, 2011.

Complementary bibliography:

1. BOTLER, F.; COLLARES, M.; MARTINS, T.; MENDONÇA, W.; MORRIS, R.; MOTA, G. Combinatorics. 1. ed. Brazilian Mathematical Society, 2021. (33RD CBM-02).
2. MATOUSEK, J. Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry. Berlin: Springer, 2003.
3. TAO, T.; VU, V. Additive Combinatorics. Cambridge: Cambridge University Press, 2006.
4. FRANCO, T. Principles of Combinatorics and Probability. University Mathematics Collection. Rio de Janeiro: IMPA, 2020.
5. LOVASZ, L.; PELIKAN, J.; VESZTERGOMBI, K. Discrete Mathematics. Rio de Janeiro: Coleção Textos Universitários SBM, 2003.

Basic bibliography:

1. ARBARELLO, E. Geometry of Algebraic Curves. Vol. I. New York, Springer Verlag, 1985.
2. COOLIDGE, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, 1959.
3. FULTON, W. Algebraic Curves. New York: Benjamin, 1969.

Complementary bibliography:

1. WALKER, R. J. Algebraic Curves. New York: Dover, 1950.
2. VAINSENCHER, I. Introduction to Plane Algebraic Curves. Rio de Janeiro: IMPA, 2017.
3. MIRANDA, R. Algebraic Curves and Riemann Surfaces. Providence, Rhode Island: American Mathematical Society, 1995.
4. GARCIA, A.; LEQUAIN, Y. Elements of Algebra. Rio de Janeiro: IMPA, 2022.
5. LANG, S. Algebra. New York: Springer, 2005.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliographyTo be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be to be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography:

1. CYGAN, M.; et. al. Parameterized Algorithms. New York: Springer, 2015.
2. VAZIRANI, V. Approximation Algorithms. New York: Springer, 2001.
3. MOTWANI, R.; RAGHARAN, P. Randomized Algorithms. Cambridge: Cambridge University Press, 1995.

Complementary bibliography:

1. FORMIN, F. V. et. al. Theory of Parameterized Preprocessing. Cambridge: Cambridge University Press, 2019.
2. DOWNEY, R. G.; FELLOWS, M. R. Fundamentals of Parameterized Complexity. New York: Springer, 2013.
3. FORMIN, F. V. et. al. Theory of Parameterized Preprocessing. Cambridge: Cambridge University Press, 2019.
4. FORMIN, F. V.; KRATSCH, D. Exact Exponential Algorithms. New York: Springer, 2010.
5. AUSIELLO, G. et. al. Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties. New York: Springer, 1999.

Basic bibliography:

1. BARBOSA, Valmir. An Introduction to Distributed Algorithms. Cambridge: The MIT Press, 1996.
2. LYNCH, Nancy. Distributed Algorithms. San Francisco: Morgan and Kaufmann, 1996.
3. TEL, Gerard. Introduction to Distributed Algorithms. Cambridge: Cambridge University Press, 1994.

Complementary bibliography:

1. GARG, V. K. Principles of Distributed Systems. New York: Springer, 1995.
2. BARBOSA, V. C. Massively Parallel Models of Computation: Distributed Parallel Processing in Artificial Intelligence and Optimization. Chichester, UK: Ellis Horwood, 1993.
3. TANENBAUM, A. S.; STEEN, M. Distributed Systems: Principles and Paradigms. 3. ed. London: Pearson, 2017.
4. COULOURIS, G.; DOLLIMORE, J.; KINDBERG, T.; BLAIR, G. Distributed Systems: Concepts and Projects. Porto Alegre: Bookman, 2013.
5. BURNS, B. Designing Distributed Systems: Patterns and Paradigms for Scalable, Reliable Services. California, USA: O’Reilly Media, 2018.

Basic bibliography:

1. KAYE, P.; LAFLAMME, R.; MOSCA; M. An Introduction to Quantum Computing. Oxford: Oxford University Press, 2007.
2. NIELSEN, M. A.; CHUANG, I. L. Quantum Computation and Quantum Information. Cambridge: Cambridge University Press, 2000.
3. PORTUGAL, R.; LAVOR, C. C.; CARVALHO, L. M.; MACULAN, N. Uma Introdução à Computação Quântica. 1. ed. São Paulo: SBMAC, 2004. v. 100. 62p .

Complementary bibliography:

1. FALBRIARD, C.; BROSSO, I. Quantum Computing: The Reality of a New Era. Rio de Janeiro: Alta Books, 2020.
2. ALMEIDA, N. G. Introduction to quantum computing and information. São Paulo: Editora Livraria da Física, 2023.
3. SUBRAMANIAN, B.; VENKATESAN, K.; MUTHULAKSHMI, M. Cquantum computation and its applications. Belo Horizonte: Edicoes Nosso Conhecimento, 2024.
4. HUGHES, C.; ISAACSON, J.; PERRY, A.; SUN, R. F.; TURNER, J. T. Quantum Computing for the Quantum Curious. New York: Springer, 2021.
5. JOHNSTON, E. R.; HARRIGAN, N.; GIMENO-SEGOVIA, M. Programming Quantum Computers: Essential Algorithms and Code Samples. Massachusetts: O’Reilly Media, 2019.

Basic bibliography:

1. OPPENHEIM, A. V.; WILLSKY, A. S. Signals and Systems. São Paulo: Pearson, 2010.
2. CHAPARRO, L. F.; AKAN, A. Signals and systems using MATLAB. 3. ed. New York: Academic Press, 2019.
3. STRANG, G. Introduction to Linear Algebra. 5. ed. Cambridge: Cambridge Press, 2016.

Complementary bibliography:

1. OPPENHEIM, A. V.; VERGHESE, G. Signals, Systems, and Inference. São Paulo: Pearson, 2016.
2. OPPENHEIM, A. V.; SCHAFER, R. W. Discrete-Time Signals and Systems. 3. ed. Massachusetts: Prentice Hall, 2010.
3. LIM, J. S. Two-Dimensional Signal and Image Processing. Massachusetts: Prentice Hall, 1990.
4. MALLAT, S. A Wavelet Tour of Signal Processing. The Sparse Way. New York: Academic Press, 2009.
5. VELHO, L.; FRERY, A.; GOMES, J. Image Processing for Computer Graphics and Vision. New York: Springer, 2008.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography:

1. HEER, J.; MORITZ, D.; VANDERPLAS J.; CRAFT, B. Vega-Lite Visualization Notebook Curriculum. 2019. Available at: https://observablehq.com/@uwdata/data-visualization-curriculum and https://github.com/uwdata/visualization-curriculum. Accessed on: May 21. 2025.
2. KIRK, A. Data Visualization: a handbook for data driven design. 3. ed. California: Sage, 2025.
3. MILANI, A. M. P. et al. Data visualization. Porto Alegre: SAGAH, 2020.

Complementary bibliography:

1. WILKINSON, L. Grammar of Graphics. New York: Springer 2005.
2. BERTIN, J. Semiology of Graphics: Diagrams, Networks, Maps. California: Esri Press, 2010.
3. WARE, C. Information visualization: perception for design. 4. ed. Waltham, Mass.: Morgan Kaufmann, 2020.
4. MUNZNER, T. Visualization analysis & design. Boca Raton: CRC Press, 2015.
5. WARD, M.; GRISTEIN, G.; KEIM. D. Interactive data visualization: foundations, techniques, and applications. Natick, Mass. : CRC Press, 2021.

Basic bibliography:

1. COVER, T.; COVER, J. Elements of Information theory. New Jersey: Wiley-interscience, 2006.
2. MACKAY, D. Information Theory, Inference and Learning Algorithms. Cambridge: Cambridge University Press, 2003.
3. CSISZAR, I.; SHIELDS, P. Information Theory and StatisticsA Tutorial. Norwell: Now, 2004.

Complementary bibliography:

1. CSISZAR, I.; KORNER, J. Information Theory: Coding Theorems for Discrete Memoryless Theorems. Cambridge: Cambridge University Press, 2011.
2. CASELLA, G.; BERGER, R. Statistical Inference. California: Brooks/Cole, 2002.
3. OPPENHEIM, A.; SCHAFFER, R. Discrete-Time Signal Processing. 3. ed. Upper Saddle River, NJ: Pearson, c2010.
4. BISHOP, C. M. Pattern Recognition and Machine Learning. New York: Springer, 2006.
5. GALLAGHER, R. Principles of Digital Communication. Cambridge: Cambridge University Press, 2008.

Basic bibliography:

1. REIS, J.; HOUSLEY, M. Fundamentals of Data Engineering: Design and Build Robust Data Systems. São Paulo: Novatec Editora, 2023.
2. MOSES, B.; GAVISH, L.; MOLLY, V. Fundamentals of Data Quality: A Practical Guide to Creating Reliable Data Pipelines. Rio de Janeiro: Alta Books, 2024.
3. DEHGHANI, Z. Data Mesh: Delivering Data-Driven Value at Scale. São Paulo: Novatec, 2022.

Complementary bibliography:

1. ELMASRI, R.; NAVATHE, S. B. Database Systems. 7. ed. São Paulo: PEARSON, 2019.
2. HEUSER, C. A. Database Design. 6. ed. Porto Alegre: Bookman, 2009.
3. ROSS, M., KIMBALL, R. The Data Warehouse Toolkit. 3. ed. Indianapolis: Wiley, 2013.
4. HELLERSTEIN, J.; STONEBRAKER, M. Readings in Database Systems. 4. ed. Massachusetts: MIT Press, 2005.
5. RAGHU, R.; GEHRKE, J. Database Management Systems. 3. ed. New York: McGraw-Hill, 2002.

Basic bibliography:

1. LEVIN, D.; PERES, Y. Markov Chain and Mixing Times. 2. ed. Providence, Rhode Island: AMS, 2017. Available at: https://pages.uoregon.edu/dlevin/MARKOV/markovmixing.pdf . Accessed on: May 21 2025.
2. NORRIS, J. Markov Chains. Cambridge. UK; New York: Cambridge University Press, 1998.
3. GRIMMETT, G.; STIRZAKER, D. Probability and Random Processes. Oxford: Oxford Press, 2001.

Complementary bibliography:

1. DURRETT, R. Probability: theory and examples. Pacific Grove, CA: Wadsworth & Brooks/Cole Advanced Books & Software, 1991.
2. FRANCO, T. Principles of Combinatorics and Probability. University Mathematics Collection. Rio de Janeiro: IMPA, 2020.
3. JAMES, B. Probability: A Course at Intermediate Level. Euclid Project. Rio de Janeiro: IMPA, 2023.
4. SHIRYAEV, A. Probability-1. Graduate Texts in Mathematics. New York: Springer, 2016.
5. VARADHAN, S. R. S. Probability Theory. Courant Lecture Notes in Mathematics. Providence, Rhode Island: CIMS/AMS, 2001.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography:

1. ANTON, H.; BIVENS, I.; DAVIS, S. Calculus. Vol. I. 10. ed. Porto Alegre: Bookman, 2014.
2. STEWART, J. Calculus. Vol. I. 5. ed. São Paulo: Cengage Learning PTR, 2022.
3. LEITHOLD, L. Calculus with Analytic Geometry. Vol. 1. 3. ed. São Paulo: Harbra, 1994.

Complementary bibliography:

1. STEWART, J. Calculus. Vol. II. 8. ed. São Paulo: Cengage Learning PTR, 2016.
2. APOSTOL, T. M. Calculus: One variable Calculus with an introduction to linear algebra. Vol. 1. 2. ed. New York: John Wiley, 1967.
3. SANTOS, A. R.; BIANCHINI, W. Learning Calculus with Maple: One Variable Calculus. 1. ed. Rio de Janeiro: LTC, 2002.
4. TROMBA, A. J.; Marsden, J. E. Vector Calculus. 6. ed. New York: Macmillan Learning, 2012.
5. GUIDORIZZI, H. A Course in Calculus. Vol. 1. 6. ed. São Paulo: LTC, 2018.

Basic bibliography:

1. LAY, D.; LAY, S.; MACDONALD, J. Linear algebra and its applications. 6. ed. Rio de Janeiro: LTC, 2024.
2. ANTON, H.; RORRES, C. Linear Algebra with Applications. 10. ed. Porto Alegre: Bookman, 2012.
3. SANTOS, R. A course in Analytic Geometry and Linear Algebra. Belo Horizonte: UFMG, 2014.

Complementary bibliography:

1. LIMA, E. L. Linear algebra. University Mathematics Collection. Rio de Janeiro: IMPA, 2020.
2. STRANG, G. Linear algebra and its applications. São Paulo: Cengage Learning PTR, 2018.
3. CALLIOLI, C. A.; DOMINGUES, H. H.; COSTA, R. C. F. Linear Algebra and Applications. 6. ed. São Paulo: Atual, 1990.
4. BOLDRINI, J. L.; COSTA, S. L. R.; FIGUEIREDO, V. L.; WETZLER, H. G. Linear Algebra. 3. ed. São Paulo: Harbra, 1986.
5. LANG, S. Linear Algebra. 3. ed. New York : Springer, 2010.

Basic bibliography:

1. DOWNEY, A. Think in Python. São Paulo: Novatec, 2016
2. MENEZES, N. N. C. Introduction to Programming with Python. São Paulo: Novatec, 2014.
3. GUTTAG, J. Introduction to Computation and Programming Using Python: With Application to Understanding Data. 2. ed. Cambridge: MIT Press, 2016.

Complementary bibliography:

1. STEPHENSON, B. The Python Workbook: A Brief Introduction with Exercises and Solutions. Heidelberg: Springer, 2019.
2. BORGES, L. E. Python for Developers. São Paulo: Novatec, 2014.
3. SWEIGART, A. Automate the boring stuff with Python: practical programming for total beginners. 2. ed. San Francisco: No Start Press, 2020.
4. ASCHER, D.; LUTZ, M. Learning Python. Porto Alegre: Bookman, 2007.
5. ZINGARO, D. Learn to Code by Solving Problems: A Python Programming Primer. San Francisco, CA: No Starch Press, 2021.

Basic bibliography:

1. PHYSICS INSTITUTE-UFRJ. Experimental Physics I Course Material. Available at: https://fisexp1.if.ufrj.br. Accessed on: May 21. 2025.
2. JESUS, V. L. B. Experiments and Video Analysis: Dynamics. São Paulo: Editora Livraria da Física, 2014.
3. NUSSENZVEIG, M. H. Basic Physics Course: Mechanics. Vol. 1. 5. ed. Rio de Janeiro: UFRJ/COPEA, 2013.

Complementary bibliography:

1. SQUIRES, S. L. Practical Physics. Cambridge: Cambridge University Press, 1991.
2. PRESTON, D. W. Experiments in Physics. New York: John Wiley & Sons, 1985.
3. NUSSENZVEIG, M. H. Basic Physics Course: Fluids, Oscillations and Waves, Heat. Vol. 2. 5. ed. Rio de Janeiro: UFRJ/COPEA, 2014.
4. YOUNG, H. D.; FREEDMAN, R. A. Physics I: Mechanics. 12. ed. São Paulo: Pearson, 2015.
5. KLEPPNER D. E.; KOLENKOW, R. An Introduction to Mechanics. 2. ed. Cambridge: Cambridge University Press, 2014.

Basic bibliography:

1. CHOMSKY, N. The Science of Language. Conversations with James McGilvray. São Paulo: Editora da UNESP, 2012.
2. FIORIN, J. L. (Org.). Introduction to Linguistics II: Principles of Analysis. São Paulo: Contexto, 2003.
3. KENEDY, E. Basic Course in Generative Linguistics. São Paulo: Contexto, 2013.

Complementary bibliography:

1. ARÉVALO, A.; LEPSKI, G. Unwinding the brain: a journey through the human mind. São Paulo, USP: Independent Production, 2021.
2. CHOMSKY, N. New Horizons in the Study of Language and Mind. São Paulo: Editora da UNESP, 2005. [Translation by Marco Antônio Sant’Anna]
3. FERREIRA, M. Pragmatics: Meaning, Communication and Contextual Dynamics. São Paulo: Contexto, 2023.
4. FRANCHI, C.; NEGRÃO, E. V.; Müller, A. L. But What Really Is Grammar? São Paulo: Parábola, 2008.
5. FROMKIN, V. et al. Linguistics: an introduction to linguistic theory. Malden, MA: Blackwell. 2000.
6. LARSON, R. K. Grammar as Science. Cambridge, MA: The MIT Press, 2009.
7. ROSENFELDER, M. The Syntax Construction Kit. Chicago: Yonagu Books, 2018.

Basic bibliography:

1. ANTON, H.; BIVENS, I.; DAVIS, S. Calculus. Vol. II. 10. ed. Porto Alegre: Bookman Publishing, 2014.
2. GUIDORIZZI, H. L. Calculus, Vol. II . 5. ed. Rio de Janeiro: LTC, 2021.
3. STEWART, J. Calculus. Vol. II. 8. ed. São Paulo: Cengage Learning PTR, 2016.

Complementary Bibliography:

1. APOSTOL, T. M. Calculus, vol. 2: Multi-variable calculus and linear algebra with applications to differential equations and probability . 2. ed. New York: Ed. Wiley, 1969.
2. PINTO, D.; MORGADO, M. C. F. Differential and Integral Calculus of Functions of Several Variables. 3. ed. Rio de Janeiro: UFRJ, 2004.
3. TROMBA, A. J.; MARSDEN, J. E. Vector Calculus. 5. ed. New York: W. H. Freeman & Company, 2003.
4. COURANT, R. Differential and Integral Calculus. Vol. 2. New York: Blackie & Sons, 1936.
5. CIPOLATTI, R. Advanced Calculus. Rio de Janeiro: SBM, 2018.

Basic bibliography:

1. FRANCO, T. Principles of Combinatorics and Probability. University Mathematics Collection. Rio de Janeiro: IMPA, 2020.
2. JAMES, B. Probability: A Course at Intermediate Level. Euclid Project. Rio de Janeiro: IMPA, 2023.
3. DE LIMA, B. N. B.; ROLLA, L. Probability. Accepted in Project Euclid. Rio de Janeiro: IMPA, 2021. Available at: https://www.ime.usp.br/~leorolla/probabilidade/. Accessed on: May 21. 2025.

Complementary bibliography:

1. DURRETT, R. Probability: theory and examples. Cambridge, United Kingdom; New York, NY: Cambridge University Press, 2019.
2. GRIMMETT, G.; STIRZAKER, D. Probability and Random Processes. Oxford: Oxford Press, 2001.
3. FELLER, W. Introduction to Probability Theory and its Applications. São Paulo: Edgard Blucher, 1976.
4. SHIRYAEV, A. Probability-1. Graduate Texts in Mathematics. New York: Springer, 2016.
5. VARADHAN, S. R. S. Probability Theory. New York: Courant Lecture Notes in Mathematics, 2001.

Basic bibliography:

1. RAMALHO, L. Fluent Python: Clear, Concise, and Effective Programming. 2. ed. Beijing; Boston: O’Reilly, 2022.
2. BURDEN, R.; FAIRES, J. D. Numerical Analysis. 10. ed. São Paulo: Cengage Learning PTR, 2020.
3. CELES, W. Introduction to Data Structures. Rio de Janeiro: Campus, 2004.

Complementary bibliography:

1. DOWNEY, A. Think in Python. São Paulo: Novatec, 2016.
2. MENEZES, N. N. C. Introduction to Programming with Python. São Paulo: Novatec, 2014.
3. LAGES, N. A. C. Algorithms and data structures. Rio de Janeiro: Technical and Scientific Books, 1985.
4. GARCIA, G. Introduction to programming: 500 solved algorithms. Rio de Janeiro: Campus, 2002.
5. CORMEN, T.; LEISERSON, C.; RIVEST, R.; STEIN, C. Introduction to Algorithms. 4. ed. London: The MIT Press, 2022.

Basic bibliography:

1. NUSSENZVEIG, H. M. Basic Physics Course: Mechanics. Vol. 1. 5. ed. São Paulo: Ed. Edgar Blücher, 2013.
2. NUSSENZVEIG, H. M. Basic Physics Course: Fluids: Oscillations and waves. Vol. 2. 5. ed. São Paulo: Editora Edgar Blücher, 2014.
3. FEYNMAN, R.; LEIGHTON R. B.; SANDS, M. The Feynman Lectures on Physics, Volume I: Mainly Mechanics, Radiation, and Heat. 50th Millennium ed. New York: Basic Books (AZ), 2011. Available at: https://www.feynmanlectures.caltech.edu. Accessed on: May 21. 2025.

Complementary bibliography:

1. SYMON, K. R. Mechanics. Rio de Janeiro: Editora Campus, 1982.
2. CALLEN, H. B. Thermodynamics and an introduction to thermostatistics. 2. ed. New York: Wiley, 1987.
3. SALINAS, S. Introduction to statistical physics. 2. ed. São Paulo: Editora da USP, 2018.
4. MARION, J. B. Classical Dynamics of Particles and Systems. 5. ed. Belmont, MA: Brooks/Cole, 2008.
5. KLEPPNER D.; KOLENKOW, R. An Introduction to Mechanics. 2. ed. Cambridge: Cambridge University Press, 2014.

Basic bibliography:

1. GOLDBORT, R. Writing for Science. Yale: Yale University Press, 2006.
2. KANE, T. S. The Oxford Essential Guide to Writing. New York: Berkeley Books, 2000.
3. SQUARISI, D.; SALVADOR, A. Writing Better: A Guide to Clean Texts. São Paulo: Contexto, 2013.

Complementary bibliography:

1. CARAMAZA, A. Issues in Reading, Writing and Speaking: A Neuropsychological Perspective. Amsterdam: Kluwer Academic Publishers, 1991.
2. DEHAENE, S. The Neurons of Reading: How Science Explains Our Ability to Read. Porto Alegre: Editora Penso, 2012. [Translation by Leonor Scliar-Cabral].
3. DINIZ, D. Letter from an advisor: on research and academic writing. São Paulo: Civilização Brasileira, 2024.
4. MUÑOZ-Basols, J.; SINUSÍA, Y. P.; DAVID, M.; DONOVAN, C. F. Practical Handbook of Writing in Portuguese. Developing Writing Skills in Portuguese. London: Routledge, 2019.
5. SQUARISI, D. Writing and Style Manual for Convergent Media. São Paulo: Geração Editorial, 2011.

Basic bibliography:

1. BUSSAB, W.; MORETTIN, P. A. Basic Statistics. Rio de Janeiro: Saraiva, 2010.
2. KNAFLIC, C. N. Storytelling with Data: A Guide to Data Visualization for Business Professionals. Rio de Janeiro: Alta Books, 2019.
3. WICKHAM, H.; ÇETİNKAYA-RUNDEL, M.; GROLEMUND, G. R for Data Science. 2. ed. Beijing: O’REILLY MEDIA, 2023. Available at: https://r4ds.hadley.nz/. Accessed on: May 21. 2025.

Complementary bibliography:

1. TUKEY, J. Exploratory Data Analysis. Reading, Mass.: Addison-Wesley, 1977.
2. MCKINNEY, W. Python for data analysis: Data wrangling with Pandas, NumPy, and IPython. 2. ed. Beijing: O’Reilly, October 2017.
3. WICKHAM, H. ggplot2: Elegant Graphics for Data Analysis. 2. ed. New York: Springer, 2016.
4. KNAFLIC, C. N. Storytelling with Data: Let’s Practice!. Rio de Janeiro: Alta Books, 2023.
5. CAIRO, A. The Truthful Art: data, charts, and maps for communication. São Paulo: New Riders, 2016.

Basic bibliography:

1. PHYSICS INSTITUTE-UFRJ. Experimental Physics III course material, 2021. Available at: https://fisexp3ifufrj.wordpress.com. Accessed on: September 15. 2021.
2. PERUZZO, J. Basic Physics Experiments: Electromagnetism. São Paulo: Editora Livraria da Física, 2013.
3. NUSSENZVEIG, M. H. Course Physics: Electromagnetism. Vol. 3. 2. ed. Rio de Janeiro: UFRJ/COPEA, 2015.

Complementary bibliography:

1. HOROWITZ, P.; HILL, W. The Art of Electronics. 2. ed. New York: Cambridge University Press, 1989.
2. SQUIRES, S. L. Practical Physics. New York: Cambridge University Press, 2001.
3. PRESTON, D. W. Experiments in physics: a laboratory manual for scientists and engineers. New York; Chichester: Wiley, 1985.
4. TIPLER, P. A; MOSCA, G. A. Physics for Scientists and Engineers 2: Electricity, Magnetism and Optics. 6. ed. São Paulo: LTC, 2009.
5. HALLIDAY, D.; RESNICK, R.; WALKER, J. Fundamentals of Physics: Electromagnetism. Vol. 3. 10. ed. Rio de Janeiro: LTC Editora, 2016.

Basic bibliography:

1. APOSTOL, T. M. Calculus: Multi-variable calculus and linear algebra with applications to differential equations and probability. Vol. 2. 2.ed. New York: Ed. Wiley, 1969.
2. FIGUEIREDO, D.; NEVES, A. Applied Differential Equations. Rio de Janeiro: IMPA, 2001.
3. SANTOS, R. Introduction to Ordinary Differential Equations. Belo Horizonte: UFMG University Press, 2014.

Complementary bibliography:

1. STEWART, J. Calculus. Vol. 2. 6. ed. São Paulo: Cengage Learning PTR, 2016.
2. BOYCE, W.; DI PRIMA, R. Differential Equations and Boundary Value Problems. 11. ed. Rio de Janeiro: LTC, 2020.
3. IGOREVICH, V. Ordinary differential equations. Moscow: Mir, 1985.
4. PINTO, D.; MORGADO, M. C. F. Differential and Integral Calculus of Functions of Several Variables. 3. ed. Rio de Janeiro: UFRJ, 2004.
5. COSTA, F. P. Ordinary Differential Equations. Lisbon: IST Press, 2001.

Basic bibliography:

1. TREFETHEN, N.; BAU III, D. Numerical Linear Algebra. Philadelphia: Society for Industrial and Applied Mathematics, 2022.
2. BURDEN, R.; FAIRES, J. D. Numerical Analysis. 10. ed. São Paulo: Cengage Learning PTR, 2020.
3. ISAACSON, E.; KELLER, H. Analysis of numerical methods. New York: Dover: 1994.

Complementary Bibliography:

1. PENNY, J. E. T.; LINDFIELD, G. R. Numerical Methods: using Matlab. 4. ed. London: Elsevier, 2019.
2. GOLUB, G.; VAN LOAN, C. Matrix Computations. 4. ed. Baltimore: The Johns Hopkins University Press, 2013.
3. STRANG, G. Linear algebra and its applications. São Paulo: Cengage Learning PTR, 2018.
4. STRANG, G. Linear Algebra and Learning from Data. Wellesley, MA: Wellesley-Cambridge Press, 2019.
5. GILL, P. E.; MURRAY, W.; WRIGHT, M. H. Numerical Linear Algebra and Optimization. Philadelphia: Society for Industrial and Applied Mathematics, 2021.

Basic bibliography:

1. MONTGOMERY, D. C.; RUNGER, G. C. Applied Statistics and Probability for Engineers. 7. ed. Rio de Janeiro: LTC, 2023.
2. RICE, J. A. Mathematical statistics and data analysis. São Paulo: Cengage Learning, 2006.
3. WASSERMAN, L. All of Statistics: a concise course in statistical inference. New York: Springer, 2010.

Complementary bibliography:

1. ABRAMOVICH, F.; RITOV, Y. Statistical theory: a concise introduction. Boca Raton: CRC Press, [2013].
2. GILLARD, J. A First Course in Statistical Inference. Berlin, Germany: Springer, 2020.
3. SPOKOINY, V.; DICKHAUS, T. Basics of modern mathematical statistics. Heidelberg: Springer, 2016.
4. EFRON, B.; HASTIE, T. Computer Age Statistical Inference. Student Edition. New York, USA: Cambridge University Press, 2021.
5. CASELLA, G.; BERGER, R. L. Statistical inference. São Paulo: Cengage Learning, 2021.

Basic bibliography:

1. GERSTING, J. L. Mathematical Foundations for Computer Science. 7. ed. Rio de Janeiro: LTC, 2022.
2. LOVASZ, L.; PELIKAN, J.; VESZTERGOMBI, K. Discrete mathematics: elementary and beyond. New York: Springer: 2003.
3. GRAHAM, R.; KNUTH, D.; PATASHINK, O. Concrete mathematics: foundations for computer science. USA: Addison-Wesley Professional: 1994.

Complementary bibliography:

1. STEIN, C.; DRYSDALE, R.; BOGART, K. Discrete Mathematics for Computer Science. São Paulo: Pearson Education, 2013.
2. ROSEN, K. H. Discrete Mathematics and its Applications. 8. ed. New York: McGraw-Hill, 2019.
3. VAN LINT, J. H.; WILSON, R. M. A Course in Combinatorics. 2. ed. Cambridge, MA: Cambridge University Press, 2001.
4. BONA, M. A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory. 4. ed. New Jersey: World Scientific, 2017.
5. CORMEN, T. H. et al. Introduction to Algorithms. 4. ed. Cambridge, Massachusetts : The MIT Press, 2022.

Basic bibliography:

1. NUSSENZVEIG, H. M. Basic Physics Course: Electromagnetism. Vol. 3. 2. ed. Rio de Janeiro: UFRJ/COPEA, 2015.
2. NUSSENZVEIG, H. M. Basic Physics Course: Optics, Relativity, Quantum Physics. Volume 4. 2. ed. Rio de Janeiro: UFRJ/COPEA, 2020.
3. FEYNMAN, R.; LEIGHTON R. B.; SANDS, M. The Feynman Lectures on Physics: Mainly Electromagnetism and Matter. Volume II. 50th Millennium Edition. New York : Basic Books, 2010.

Complementary bibliography:

1. PURCELL, E. M.; MORIN, D. J. Electricity and Magnetism. 3. ed. Cambridge: Cambridge University Press, 2012.
2. TAYLOR, E. F.; WHEELER, J. A. Spacetime Physics. 2. ed. New York: W.H. Freeman, c1992.
3. HALLIDAY, D.; RESNICK, R.; WALKER, J. Fundamentals of Physics: Electromagnetism. Vol. 3. 10. ed. Rio de Janeiro: LTC, 2021.
4. MAIA NETO, P. A.; RIBEIRO, P. H. S.; MATOS FILHO, R. L. Physics 4B. Rio de Janeiro: Cederj, 2020.
5. MORIN, D. J. Special Relativity for the Enthusiastic Beginner. Createspace Independent Publishing Platform, 2017.

Basic bibliography:

1. BIBER, D.; Johansoon, S.; LEECH, G.; CONRAD, S.; FINEGAN, E. Grammar of Spoken and Written English. London: Longman, 1999.
2. CARTER, R.; McCARTHY, M. Cambridge Grammar of English. Cambridge: CUP, 2005.
3. OXENDEN, C. New English File 1: Multipack A. Oxford: Oxford University Press, 2007.

Complementary bibliography:

1. BURNLEY, D. The history of the english language: a source book. London: Longman, 1992.
2. CELCE-MURCIA, M.; LARSEN-FREEMAN, D. The Grammar Book. USA: Heinle & Heinle, 1999.
3. HORNBY, A. S. Oxford advanced learner’s dictionary of current English. Oxford: Oxford University Press, 2010.
4. Oxfod University Press. Oxford Dictionary for Brazilian English Students. Oxford: Oxford University Press, 2004.
5. SWAN, M.; WALTER, C. The good grammar book (with answers). Oxford: Oxford University Press, 2001.

Basic bibliography:

1. LIMA, E. L. Real Analysis. Vol. 1. University Mathematics Collection. Rio de Janeiro: IMPA, 2011.
2. ABBOTT, S. Understanding Analysis. 2. ed. New York, Springer, 2016.
3. LEBL, J. Basic Analysis I: Introduction to Real Analysis. Vol. I. Independently published, 2023. Available at: https://www.jirka.org/ra/realanal.pdf. Accessed on May 21. 2021.

Complementary bibliography:

1. SPIVAK, M. Calculus. New York: W.A. Benjamin, 1967.
2. LIMA, E. L. Analysis Course. Vol. 1. Euclid Project. Rio de Janeiro: IMPA, 1989.
3. ÁVILA, G. Introduction to Mathematical Analysis. 2. ed. São Paulo: Edgard Blucher, 2020.
4. RUDIN, W. Principles of Mathematical Analysis. 3. ed. New York: McGraw-Hill, 1976.
5. SCHRAMM, M. J. Introduction to Real Analysis. New York: Dover Publications, 1996.

Basic bibliography:

1. STEIN, E.; SHAKARCHI, R. Fourier analysis: an introduction. Princeton: Princeton University Press, 2003.
2. BROWN, J.; CHURCHILL, R. V. Fourier Series and Boundary Value Problems. New York: McGraw-Hill, 2012.
3. IORIO, V. EDP, An undergraduate course. University Mathematics Collection. 4. ed. Rio de Janeiro: IMPA, 2018.

Complementary bibliography:

1. MORSE, P. M.; FESCHBACH. H. Methods of Theoretical Physics. Part I. New York; London : McGraw-Hill, 1953.
2. TEMME, N. M. Asymptotic Methods for Integrals. Singapore: World Scientific, 2015.
3. BOYCE, W.; DI PRIMA, R. Differential Equations and Boundary Value Problems. 11. ed. Rio de Janeiro: LTC, 2020.
4. BRACEWELL, R. The Fourier Transform and Its Applications. 3. ed. New York: Mc-Graw-Hill, 2000.
5. ARFKEN, G. Mathematical Methods for Physicists: a comprehensive guide. Orlando: Academic Press, 1985.

Basic bibliography:

1. MARTINS, S. T. and TENGAN, E. Exemplary Algebra: a study of algebra through examples. Euclid Project. Rio de Janeiro, IMPA. 2020.
2. ARTIN, M. Algebra. 2. ed. Boston: Pearson Education, 2018.
3. GARCIA, A.; LEQUAIN, Y. Elements of Algebra. Euclid Project. 7. ed. Rio de Janeiro: IMPA Euclid Project, 2022.
4. JACOBSON, N. Basic algebra. 2. ed. Garden City, NY: Dover, 2009.

Complementary bibliography:

1. JACOBSON, N. Basic Algebra. 2. ed. Garden City, NY: Dover, 2009.
2. GONÇALVES, A. Introduction to Algebra. Euclid Project. Rio de Janeiro, IMPA, 2017.
3. LANG, S. Algebra. 3. ed. New York: Springer, 2002.
4. VILANOVA, C. Elements of Group Theory and Ring Theory. Rio de Janeiro: IMPA, 1972.
5. DUMMIT, D.; FOOTE, R. Abstract Algebra. New York: Wiley, 2003

Basic bibliography:

1. GUENIN, I. B.; KONEMANN, J.; TUNCEL, L. A Gentle Introduction to Optimization. Cambridge: Cambridge University Press, 2014.
2. BERTSIMAS, D.; TSITSIKLIS, J. N. Introduction to linear optimization. Nashua: Athena Scientific, 1997.
3. BAZARAA, M. S.; JARVIS, J. J.; SHERALI, H. D. Linear Programming and Network Flows. New York: Wiley, 1977.

Complementary bibliography:

1. CHVATAL, V. Linear Programming. NY: W H Freeman & Co, 1983.
2. LUENBERGER, D. G. Linear and nonlinear programming. 5. ed. Cham, Switzerland: Springer, 2021.
3. WRIGHT, S.; NOCEDAL, J. Numerical Optimization. Springer Series in Operations Research and Financial Engineering. 2nd ed. New York: Springer, 2006.
4. IZMAILOV, A.; SOLODOV, M. Optimization. Volume 1. 4. ed. Rio de Janeiro: IMPA, 2020.
5. ROCKAFELLAR, R. T. Convex Analysis. Princeton: Princeton Univ. Press, 1970.
6. BOYD, S.; VANDENBERGHE, L. Convex Optimization. Cambridge: Cambridge University Press, 2014.

Basic bibliography:

1. CORMEN, T. H., et al. Introduction to Algorithms. 4. ed. Cambridge, Massachusetts : The MIT Press, 2022.
2. DASGUPTA, S.; PAPADIMITRIOU, C. H.; VAZIRANI, U. Algorithms. New York: McGraw-Hill, 2006.
3. SEDGEWICK, R.; WAYNE, K. Algorithms. 4. ed. Upper Saddle River, NJ: Addison-Wesley, 2011.

Complementary bibliography:

1. KLEINBERG, J.; TARDOS, E. Algorithm design. Boston: Pearson/Addison-Wesley, 2006.
2. KNUTH, D. E. The art of computer programming. Reading, Mass.: Addison-Wesley, 1973.
3. MANBER, U. Introduction to Algorithms: a Creative Approach. Reading, Mass.: Addison-Wesley, 1989.
4. GAREY, M. R.; JOHNSON, D. S. Computers and Intractability: A Guide to the Theory of NP-Completeness. San Francisco: W.H. Freeman, 1979.
5. MOORE, C.; MERTENS, S. The Nature of Computation. Oxford: Oxford University Press, 2011.

Basic bibliography:

1. JAMES, G. et al. Introduction to Statistical Learning. New York, NY : Springer, 2021.
2. MOHRI, M.; ROSTAMIZADEH, A.; TALWALKAR, A. Foundations of Machine Learning. 2. ed. Cambridge, Massachusetts: MIT Press, 2018.
3. IZBICKI, R.; SANTOS, T. M. Machine learning: a statistical approach. São Paulo: UICLAP, 2022.

Complementary bibliography:

1. HASTIE, T. et al. The elements of statistical learning: data mining, inference, and prediction. New York: Springer, 2009.
2. BISHOP, C. M.; NASRABADI, N. M. Pattern recognition and machine learning. New York: springer, 2006.
3. MURPHY, K. P. Machine learning: a probabilistic perspective. Cambridge, Massachusetts: MIT press, 2012.
4. SHALEV-SHWARTZ, S.; BEN-DAVID, S. Understanding machine learning: From theory to algorithms. Cambridge: Cambridge university press, 2014.
5. CARVALHO, A. C. P. L. F. Artificial Intelligence: A Machine Learning Approach. Rio de Janeiro: LTC, 2021.
6. KUHN, M.; JOHNSON, K. Applied Predictive Modeling. New York: Springer, 2013.

Basic bibliography:

1. NUSSENZVEIG, H. M. Basic Physics Course: Optics, Relativity, Quantum Physics. Vol. 4. 2. ed. Rio de Janeiro: UFRJ/COPEA, 2020.
2. FEYNMAN, R.; LEIGHTON R. B.; SANDS, M. The Feynman Lectures on Physics: Quantum Mechanics. Vol. III. New Millennium Edition. New York: Basic Books, 2011. Available at https://www.feynmanlectures.caltech.edu/. Accessed on May 21. 2025.
3. GRIFFITHS, D. J.; SCHROETER, D. F. Introduction to Quantum Mechanics. 3. ed. Cambridge: Cambridge University Press, 2018.

Complementary bibliography:

1. MAIA NETO, P. A.; RIBEIRO, P. H. S.; MATOS FILHO, R. L. Physics 4B. Rio de Janeiro: Cederj, 2020.
2. COHEN-TANNOUDJI, C.; DIU, B.; LALOË F. Quantum Mechanics: Basic Concepts, Tools, and Applications. Vol. 1. 2. ed. Germany: Wiley-VCH, 2020.
3. EISBERG, R.; RESNICK, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles. 2. ed. New York: John Wiley, 1985.
4. PAIS, A. Niels Bohr’s Times: In Physics, Philosophy, and Polity. New York: Oxford University Press, 1991.
5. PAIS, A. Subtle is the Lord. The Science and Life of Albert Einstein. Rio de Janeiro: Nova Fronteira, 1995.

Basic bibliography:

1. PHYSICS INSTITUTE-UFRJ. Course material for Experimental Physics IV. UFRJ, 2021. Available at: http://fisexp4.if.ufrj.br/Site_Fisexp_4/FISEXP_4_-_UFRJ.html. Accessed on May 21. 2025.
2. SQUIRES, S. L. Practical Physics. Cambridge: Cambridge University Press, 1991.
3. NUSSENZVEIG, H. M. Basic Physics Course: Optics, Relativity and Quantum Physics. 2. ed. Vol. 4. São Paulo: Edgard Blücher, 2014.

Complementary bibliography:

1. PRESTON, D. W. Experiments in Physics: a laboratory manual for scientists and engineers. New York: Chichester: Wiley, 1985.
2. SIEGMAN, A. E. Lasers. Mill Valley, Calif.: University Science Books, 1986.
3. HECHT, E. Optics. 5. ed. Boston: Pearson, 2017.
4. PERUZZO, J. Basic Physics Experiments: Thermodynamics, waves and optics. São Paulo: Editora Livraria da Física, 2012.
5. MELISSINOS, A. C. Experiments in Modern Physics. Gulf Professional Publishing, 2003.

Basic bibliography:

1. CARTER, R.; McCARTHY, M. Exploring Spoken English. Cambridge: Cambridge University Press, 1997.
2. LATHAM-KOENIG, C.; OXENDEN, C.; SELIGSON, P. American English File 2. 3. ed. Oxford: Oxford University Press, 2019.
3. SWALES, J.; FEAK, C. Academic Writing for Graduate Students: Essential Tasks and Skills. Ann Arbor, MI: University of Michigan Press, 2004.

Complementary bibliography:

1. CARTER, R.; McCARTHY, M. Cambridge Grammar of English. Cambridge: Cambridge University Press, 2005.
2. GRABE, W.; KAPLAN, R. Theory and Practice of Writing: An Applied Linguistic Perspective. New York: Longman, 1996.
3. GRELLET, F. Developing Reading Skills. Cambridge: Cambridge University Press, 1998.
4. HAMP-LYONS, L.; HEASLEY, B. Study Writing. 2. ed. Cambridge: Cambridge University Press, 2006.
5. KANE, T. S. The Oxford Essential Guide to Writing. New York: Berkeley Books, 2000.

Basic bibliography:

1. CIPOLATTI, R. Advanced Calculus. Rio de Janeiro: SBM. 2018.
2. LIMA, R. F. Topology and Analysis in R^n Space. Rio de Janeiro: SBM. 2015.
3. ACKER, F. Classical vector analysis. 1. ed. Rio de Janeiro: SBM, 2012. 490 p.

Complementary bibliography:

1. LIMA, E. L. Analysis in Rn Space. Euclid Project. Rio de Janeiro: IMPA, 2016.
2. LANG, S. Undergraduate Analysis. New York: Springer. 1997.
3. PUGH, C. Real Mathematical Analysis. New York: Springer. 2015.
4. APOSTOL, T. M. Calculus, vol. 2: Multi-variable calculus and linear algebra with applications to differential equations and probability. 2. ed. New York: Ed. Wiley, 1969.
5. RUDIN, W. Principles of Mathematical Analysis. New York: McGraw Hill Inc., 1976.

Basic bibliography:

1. LMASRI, R.; NAVATHE, S. B. Database Systems. 7. ed. São Paulo: PEARSON, 2019.
2. HEUSER, C. A. Database Design. 6. ed. Bookman: Porto Alegre, 2009.
3. SILBERSCHATZ, A.; KORTH, H. F.; SUDARSHAN, S. Database Systems. 7. ed. Rio de Janeiro: Gen-LTC Group. 2020.

Complementary bibliography:

1. HELLERSTEIN, J.; STONEBRAKER, M. Readings in Database Systems. 4. ed. New York: MIT Press, 2005.
2. RAGHU, R.; GEHRKE, J. Database Management Systems. 3. ed. New York: McGraw-Hill, 2002.
3. GARCIA-MOLINA, H.; ULLMAN, J. D.; WIDOM, J. Database systems: the complete book. 2. ed. Boston: Pearson Education, 2008.
4. REDMOND, E.; WILSON, J. R. Seven Databases in Seven Weeks: A Guide to Modern Databases and the NoSQL Movement. USA: Pragmatic Bookshelf, 2012.
5. ROSS, M.; KIMBALL, R. The Data Warehouse Toolkit. 3. ed. New York: Wiley, 2013.

Basic bibliography:

1. KIBBLE, T. W. B.; BERKSHIRE, F. H. Classical Mechanics. 5. ed. River Edge, NJ: World Scientific, 2004.
2. SYMON, K. R. Mechanics. Rio de Janeiro: Editora Campus, 1982.
3. MARION, J. B. Classical Dynamics of Particles and Systems. New York: Academic Press, 1965.

Complementary bibliography:

1. KLEPPNER D.; KOLENKOW, R. An Introduction to Mechanics. 2. ed. Cambridge: Cambridge University Press, 2014.
2. GOLDSTEIN, H.; POOLE, C. P.; SAFKO, J. Classical Mechanics. 3. ed. Harlow: Pearson, 2014.
3. BARCELOS NETO, J. Newtonian, Lagrangian and Hamiltonian Mechanics. 2. ed. São Paulo: Editora Livraria da Física, 2013.
4. LEMOS, N. A. Analytical Mechanics. 2. ed. São Paulo: Editora Livraria da Física, 2007.
5. LANDAU, L. D.; LIFSHITZ, E.M. Mechanics. Vol. 1. 3. ed. Amsterdam: Elsevier, 1976.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.

Basic bibliography:

1. AHLFORS, L. Complex analysis. New York: McGraw-Hill, 1966.
2. CONWAY, J. B. Functions of one complex variable. Berlin: Springer-Verlag, 1978.
3. LINS NETO, A. Functions of a complex variable. Rio de Janeiro: IMPA, 1996.

Complementary bibliography:

1. CARTAN, H. Théorie élémentaire des fonctions analytiques d’une ou plusieurs variables complexes. Paris: Hermann, 1961.
2. KNOPP, K. Theory of functions. Vol. 2. New York: Dover, 1945.
3. LIMA, E. L. Analysis course. Vol. 2. Rio de Janeiro: IMPA, 1989.
4. SOARES, M. Calculus in a complex variable. Rio de Janeiro: IMPA University Mathematics Collection, 2001.
5. RODRIGUES, C. M. F. Theory of functions of a complex variable. Rio de Janeiro: L. E. Vitte, 1979.

Basic bibliography:

1. CARMO, M. Differential Geometry of Curves and Surfaces. 2. ed. New York: Dover, 2016.
2. DUPONT, J. Fiber Bundles in Gauge Theory. Denmark: Arhus Universitet, 2003.
3. MONTIEL, S.; ROS, A. Curves and Surfaces. Graduate Studies in Mathematics. Vol. 69. Madrid: Real Sociedad Matemática Española, 2009.

Complementary bibliography:

1. DUPONT, J. Curvature and Characteristic Classes. New York: Springer, 1978.
2. KOBAYASHI, S.; NOMIZU, K. Foundations of Differential Geometry. New York: Wiley, 1996.
3. MADSEN, H. From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes. Cambridge: Cambridge University Press, 1997.
4. POOR, W. A. Differential Geometric Structures. New York: Dover Ed edition, 2007.
5. SPIVAK, M. A Comprehensive Introduction to Differential Geometry. Vol. 3. Berkeley: Publish or Perish, 1979.

Basic bibliography:

1. GOMES, J.; VELHO, L. Fundamentals of computer graphics. Rio de Janeiro: IMPA, 2015.
2. MARSCHNER, S.; SHIRLEY, P. Fundamentals of Computer Graphics. Massachusetts: A K Peters, 2021.
3. DUNCAN, M. Applied Geometry for Computer Graphics and CAD. New York: Springer, 2005.

Complementary bibliography:

1. GOMES J.; VELHO L.; SOUSA M. Computer Graphics: Theory and Practice Taylor and Francis. Boca Raton: A K Peters; Taylor & Francis, 2011.
2. FARIN, G. Curves and Surfaces for CAGD. Massachusetts: Morgan Kaufmann, 2001.
3. FARIN, G.; HANSFORD, D. Mathematical Principles for Scientific Computing and Visualization. Boca Raton: A K Peters, 2008.
4. GORTLER, S. J. Foundations of 3D Computer Graphics. Massachusetts: MIT Press, 2012.
5. AKELEY K.; FOLEY J. D. et al. Computer Graphics: Principles and Practice. Massachusetts: O’Reilly, 2013.
6. WARE, C. Information Visualization: Perception for Design. 4. ed. Massachusetts: Morgan Kaufman, 2020.

Basic bibliography:

1. SIPSER, M. Introduction to the Theory of Computation. 3. ed. São Paulo: Cengage Learning, 2012.
2. LEWIS, H. R.; PAPADIMITRIOU, C. H. Elements of the Theory of Computation. 2. ed. Englewood Cliffs, N.J.: Prentice Hall PTR, 1997.
3. HOPCROFT, J. E.; MOTWANI, R.; ULLMAN, J. D. Introduction to Automata Theory, Languages, and Computation. 3. ed. Upper Saddle River, NJ: Addison-Wesley Longman Publishing Co., Inc., 2006.

Complementary bibliography:

1. ARORA, S.; BARAK, B. Computational Complexity: A Modern Approach. Cambridge: Cambridge University Press, 2009.
2. KOZEN, D. C. Theory of Computation (Texts in Computer Science). Berlin: Springer-Verlag, 2006.
3. PAPADIMITRIOU, C. H. Computational Complexity. Upper Saddle River, NJ: Addison-Wesley, 1993.
4. GAREY, M. R.; JOHNSON, D. S. Computers and Intractability: A Guide to the Theory of NP-Completeness. San Francisco: W.H. Freeman, c1979.
5. PAPADIMITRIOU, C. H.; STEIGLITZ, K. Combinatorial optimization: algorithms and complexity. Englewood Cliffs, N.J.: Prentice-Hall, c1982.

Basic bibliography:

1. GOODFELLOW, I.; BENGIO, Y.; COURVILLE, A. Deep Learning. MIT Press, 2016.
2. SUTTON, R. S.; BARTO, A. G. Reinforcement Learning: An Introduction. 2. ed. Massachusetts: MIT Press, 2018.
3. VASWANI, A. et al. Attention is All You Need. [Seminal article on transformers]. 2023. Available at: https://papers.nips.cc/paper_files/paper/2017/hash/3f5ee243547dee91fbd053c1c4a845aa-Abstract.html. Accessed on May 21. 2025.

Complementary bibliography:

1. GERON, A. Hands-On Machine Learning with Scikit-Learn Keras, and TensorFlow. 2. ed. Massachusetts: O’Reilly, 2019.
2. RADFORD, A. et al. Language Models are Unsupervised Multitask Learners. California: OpenAI, 2019.
3. KAPLAN, J. et al. Scaling Laws for Neural Language Models. California: OpenAI, 2020. Available at: https://arxiv.org/abs/2001.08361. Accessed on May 21. 2025.
4. CHOLLET, F. Deep Learning with Python. 2. ed. New York: Manning Publications, 2021.
5. JAMES, G. et al. Introduction to Statistical Learning. NY: Springer, 2021.

Basic bibliography:

1. MELISSINOS, A. C. Experiments in Modern Physics. San Diego: Academic Press, 2011.
2. SQUIRES, S. L. Practical Physics. Cambridge: Cambridge University Press, 1991.
3. NUSSENZVEIG, H. M. Basic Physics Course: Optics, Relativity and Quantum Physics. Vol. 4. 2. ed. São Paulo: Edgard Blücher LTDA, 2014.

Complementary bibliography:

1. PRESTON, D. W. Experiments in Physics. New York: John Wiley & Sons, 1985.
2. COHEN-TANNOUDJI, C.; DIU, B.; LALOË, F. Quantum Mechanics: Basic Concepts, Tools, and Applications. Vol. 1. New York: Wiley, 2020.
3. TIPLER, P. A.; LLEWELLYN, R. Modern Physics. 5. ed. San Francisco: W. H. Freeman, 2007.
4. EISBERG, R.; RESNICK, R.; CALDWELL, D. O.; DERRINGH, E.; CHRISTMAN, J. R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles. 2. ed. New York: John Wiley & Sons, 1985.
5. PHYSICS INSTITUTE-UFRJ, Course material for Experimental Physics IV, 2021, Available at: http://fisexp4.if.ufrj.br/Site_Fisexp_4/FISEXP_4_-_UFRJ.html. Accessed on May 21. 2025.

Basic bibliography:

1. SAKURAI, J. J. Modern Quantum Mechanics. 3. ed. Cambridge; New York: Cambridge University Press, 2017.
2. COHEN-TANNOUDJI, C.; DIU, B.; LALOË, F. Quantum Mechanics: Basic Concepts, Tools, and Applications. Vol. 1. New York: Wiley, 2020.
3. GRIFFITHS, D. J.; SCHROETER, D. F. Introduction to Quantum Mechanics. 3. ed. Cambridge: Cambridge University Press, 2018.

Complementary bibliography:

1. MARTIN, J. L. Basic Quantum Mechanics. Oxford: Oxford University Press, 1982.
2. PERES, A. Quantum TheoryConcepts and Methods. Dordrecht: Kluwer Academic Publishers, 1995.
3. LE BELLAC, M. Quantum Physics. Cambridge: Cambridge University Press, 2006.
4. LANDAU, L.D.; LIFSHITZ, E. M. Quantum Mechanics: Non-Relativistic Theory. Vol. 3. 3. ed. Oxford: Pergamon Press, 1977.
5. BOHM, D. Quantum Theory. New York: Dover, 1989.

Basic bibliography:

1. CHALMERS, A. F. What is science, anyway? São Paulo: Brasiliense, 1993.
2. MOSER, P. K. The Oxford handbook of epistemology. Oxford: Oxford University Press, 2005.
3. LAKATOS, I.; MUSGRAVE, A. Criticism and the development of knowledge. São Paulo: Cultrix, 1979.

Complementary bibliography:

1. FEYERABEND, P. Against the method. São Paulo: Editora Unesp, 2011.
2. KUHN, T. S. The structure of scientific revolutions. São Paulo: Perspectiva Publishing House, 1992.
3. LAUDAN, L. Progress and its problems: towards a theory of scientific growth. São Paulo: Editora UNESP, 2010.
4. McCAIN, K.; KAMPOURAKIS, K. What is scientific knowledge? An introduction to contemporary epistemology of Science. New York: Routledge, 2019.
5. MERITT, D. A philosophical approach to MOND. Assessing the Milgromian Research Program in Cosmology. Cambridge: Cambridge University Press, 2020.
6. POPPER, K. The logic of scientific research. São Paulo: Pensamento-Cultrix, 2006.

Basic bibliography:

1. VIANA, M.; ESPINAR, J. M. Differential Equations: A Dynamic Systems Approach. 2024. Available at: https://edo.impa.br/. Accessed on: May 21. 2025.
2. SOTOMAYOR, J. Lessons in Ordinary Differential Equations. Euclid Project. Rio de Janeiro: IMPA, 1979.
3. CODDINGTON, E. A.; LEVINSON, N. Theory of ordinary differential equations. New York: McGraw-Hill, 1955.

Complementary bibliography:

1. BOYCE, W.; DI PRIMA, R. Differential Equations and Boundary Value Problems. 11. ed. Rio de Janeiro: LTC, 2020.
2. BOAS, R. P. A Primer of real functions. 2. ed. Buffalo: Mathematical Association of America, 1972.
3. ÁVILA, G. Introduction to Mathematical Analysis. São Paulo: Edgard Blucher, 1999.
4. HIRSCH, M. W.; SMALE, S.; DEVANEY, R. L. Differential equations, dynamical systems, and an introduction to chaos. Orlando: Academic press, 2013.
5. DOERING, C. I.; LOPES, A. O. Ordinary differential equations. Rio de Janeiro: IMPA, 2014.

Basic bibliography:

1. MONTEIRO, M. A. Introduction to Computer Organization. 5. ed. Rio de Janeiro: Gen-LTC Group, 2007.
2. ATTERSON, D. A.; HENNESSY, J. L. Computer Organization and Design: the Hardware/Software Interface. 5. ed. Rio de Janeiro: Gen-LTC Group. 2017.
3. TANENBAUM, A. S. Modern operating systems. Vol. 4. São Paulo: Pearson, 2015.

Complementary bibliography:

1. ARPACI-DUSSEAU, R.; ARPACI-DUSSEAU, A. Operating Systems: Three Easy Pieces. California: Arpaci-Dusseau Books, 2018.
2. STALLINGS, W. Operating Systems: Internals and Design Principles. 8. ed. Cambridge, Massachusetts: Prentice Hall Publishing, 2017.
3. BRYANT, R. E.; O’HALLARON, D. Computer Systems: a Programmer’s Perspective. 3. ed. Englewood Cliffs, N.J.: Prentice Hall PTR, 2015.
4. MAZIERO, C. Operating Systems: Concepts and Mechanisms. Curitiba: UFPR Publishing House, 2019.
5. ROSS, K. Computer Networking: A Top-Down Approach Featuring the Internet. Boston: Addison-Wesley, 2001.

Basic bibliography:

1. VALENTE, M. T. Modern Software Engineering. Victoria, British Columbia: LeanPub, 2020.
2. PRESSMAN, R. S.; MAXIM, B. R. Software Engineering: A professional approach. 9. ed. New York: McGraw-Hill, 2021.
3. SOMMERVILLE, I. Software Engineering. 10. ed. São Paulo: Pearson, 2019.

Complementary bibliography:

1. GAMMA, E., HELM, R., JOHNSON, R., VLISSIDES, J. Design Patterns: Elements of Reusable Object-Oriented Software. Boston: Addison-Wesley Longman Publishing Co., Inc., 1994.
2. SOMMERVILLE, I. Engineering Software Products. São Paulo: Pearson, 2019.
3. KENNETH, S., RUBIN, R. Essential Scrum: A Practical Guide to the Most Popular Agile Process. Boston: Addison-Wesley, 2012.
4. LARMAN, C. Using UML and Patterns: An Introduction to Object-Oriented Analysis and Design and Iterative Development. 3. ed. Porto Alegre: Bookman, 2007.
5. PILONE, D.; MILES, R. Head First Software Development. Massachusetts: O’Reilly Media.Kaufmann, 2011.

Basic bibliography:

1. FAHRMEIR, L.; KNEIB, T.; LANG, S.; MARX, B. Regression: models, methods and applications. New York, NY: Springer, 2013.
2. HARRELL, F. E. Regression modeling strategies: with applications to linear models, logistic and ordinal regression, and survival analysis. 2. ed. New York, NY: Springer, 2015.
3. JAMES, G.; WITTEN, D.; HASTIE, T.; TIBSHIRANI, R. An introduction to statistical learning: with applications in R. 2. ed. New York, NY: Springer, 2021.

Complementary bibliography:

1. DOBSON, A.; BARNETT, A. G. An introduction to generalized linear models. Boca Raton: Chapman and Hall/CRC, 2017.
2. GELMAN, A.; HILL, J.; VEHTARI, A. Regression and other stories. Cambridge: Cambridge University Press, 2020.
3. GELMAN, A.; HILL, J. Data analysis using regression and multilevel/hierarchical models. Cambridge; New York: Cambridge University Press, 2007.
4. HASTIE, T.; TIBSHIRANI, R.; FRIEDMAN, J. The elements of statistical learning: data mining, inference, and prediction. 2. ed. New York: Springer, 2009.
5. WASSERMAN, L. All of statistics. New York, NY: Springer, 2004.

Basic bibliography:

1. REICHL, L. E. A Modern Course in Statistical Physics. New York: Wiley, 2016.
2. HUANG, K. Statistical Mechanics. 2. ed. New York: Wiley, 1987.
3. PATHRIA, R. K.; BEALE, P. D. Statistical Mechanics. 4. ed. London: Academic Press, 2021.

Complementary bibliography:

1. CALLEN, H. B. Thermodynamics and an introduction to thermostatistics. 2. ed. New York: John Wiley & Sons, 1985.
2. GREINER, W.; NEISE L.; STÖKER, H. Thermodynamics and statistical mechanics. New York: Springer-Verlag, 1995.
3. SALINAS, S. Introduction to statistical physics. 2. ed. São Paulo: EDUSP, 2013.
4. LANDAU, L. D.; LIFSHITZ, E. M. Statistical Physics. Part 1. Volume 5. 3. ed. Oxford: Pergamon Press, 1980.
5. SCHRÖDINGER, E. Statistical thermodynamics. 2. ed. New York: Dover, 1989.

Basic bibliography:

1. ARTIN, M. Algebra. 2. ed. Boston: Pearson Education, 2018.
2. GARCIA, A.; LEQUAIN, Y. Algebra: an introductory course. Euclid Project. Rio de Janeiro: IMPA, 1988.
3. JACOBSON, N. Lectures in Abstract Algebra. Vol I. New York: Van Nostrand, 1951.

Complementary bibliography:

1. VAN DER WAERDEN, B. L. Modern Algebra. Vol. I. Lisbon: Portuguese Mathematical Society, 1948.
2. LANG, S. Algebra. New York: Springer, 2005.
3. HUNGERFORD, T. Algebra. New York: Springer, 2011.
4. DUMMIT, D.; FOOTE, R. Abstract Algebra. New York: Wiley, 2003.
5. GONÇALVES, A. Introduction to Algebra. Euclid Project. Rio de Janeiro, IMPA, 2017.

Basic bibliography:

1. PACHECO, P. An Introduction to Parallel Programming. Massachusetts: Morgan Kaufmann, 2011.
2. HERLIHY, M.; SHAVIT, N.; LUCHANGCO, V.; SPEAR, M. The art of multiprocessor programming. Massachusetts: Morgan Kaufmann 2020.
3. BRYANT, R. E.; O’HALLARON, D. Computer Systemsa Programmer’s Perspective. 3. ed. Englewood Cliffs, N.J.: Prentice Hall PTR, 2015.

Complementary bibliography:

1. STEEN, M.; TANENBAUM, A. S. Distributed Systems. 3. ed. distributed-systems.net, 2017.
2. CACHIN, C.; GUERRAOUI, R.; RODRIGUES, L. Introduction to Reliable and Secure Distributed Programming. New York: Springer, 2011.
3. SILVA, G. P. Parallel Programming with MPI: An Introductory Course. 2018. Available at: https://www.researchgate.net/publication/335737332_Programacao_Paralela_com_MPI_-_Um_Curso_Introdutorio. Accessed on: May 21. 2025.
4. SILVA, G. P.; BIANCHINI, C. P.; COSTA, E. B. Parallel and Distributed Programming with MPI, OpenMP and OpenACC for High-Performance Computing. São Paulo: Casa do Código, 2022.
5. BUYYA, R.; BROBERG, J.; GOSCINSKI, A. M. Cloud Computing: Principles and Paradigms. New York: Wiley, 2011.

Basic bibliography:

1. DURRETT, R. Probability: theory and examples. Pacific Grove, CA: Wadsworth & Brooks/Cole Advanced Books & Software, 1991.
2. JAMES, B. Probability: A Course at Intermediate Level. Euclid Project. Rio de Janeiro: IMPA, 2023.
3. VARADHAN, S. R. S. Probability Theory. Courant Lecture Notes in Mathematics. Providence, Rhode Island: CIMS/AMS, 2001.

Complementary bibliography:

1. CHUNG, K. L. A Course in Probability Theory. 3. ed. Orlando: Academic Press, 2000.
2. FELLER, W. Introduction to Probability Theory and its Applications. São Paulo: Edgard Blucher, 1976.
3. GRIMMETT, G.; STIRZAKER, D. Probability and Random Processes. Oxford: Oxford Press, 2001.
4. LE GALL, J. F. Measure Theory, Probability, and Stochastic Processes. New York: Springer, 2022.
5. SHIRYAEV, A. Probability-1. Graduate Texts in Mathematics. New York: Springer, 2016.

Basic bibliography:

1. JACKSON, J. D. Classical Electrodynamics. New York: John Wiley & Sons, 1998.
2. ZANGWILL, A. Modern Electrodynamics. Cambridge: Cambridge University Press, 2013.
3. LANDAU, L. D.; PITAEVSKII, L. P.; LIFSHITZ, E. M. Electrodynamics of Continuous Media. Vol. 8. 2. ed. Amsterdam: Elsevier, 1984.

Complementary bibliography:

1. NUSSENZVEIG, H. M. Causality and dispersion relations. São Paulo: Editora Livraria da Física, 2015.
2. GRIFFITHS, D. J.; SCHROETER, D. F. Introduction to Quantum Mechanics. 3. ed. Cambridge: Cambridge University Press, 2018.
3. SOMMERFELD, A. Electrodynamics. Lectures on Theoretical Physics. Vol. III. New York: Academic Press, 1952.
4. SOMMERFELD, A. Optics. Lectures on Theoretical Physics. Vol. IV. New York: Academic Press, 1952.
5. REITZ, J. R.; MILFORD, F.; CHRISTY, R. Fundamentals of Electromagnetic Theory. Rio de Janeiro: Editora Campus, 1982.

Basic bibliography:

1. ADORNO, T. W.; HORKHEIMER, M. Dialectic of enlightenment: philosophical fragments. Rio de Janeiro: Jorge Zahar, 1985.
2. BEAUVOIR, S. The Second Sex. São Paulo: Editora Nova Fronteira, 2008.
3. HORKHEIMER, M. Eclipse of reason. São Paulo: EDUNESP, 2016.

Complementary bibliography:

1. DELEUSE, G; GUATTARI, F. What is philosophy?. São Paulo: Editora 34, 2010.
2. DERRIDA, J. To think is to say no. São Paulo: WMF Martins Fontes, 2024.
3. FOUCAULT, M. Words and things. An archaeology of the human sciences. São Paulo: Martins Fontes, 2011.
4. FOUCAULT, M. Birth of biopolitics. São Paulo: Martins Fontes, 2008.
5. VRAHIMIS, A. Encounters between analytic and continental philosophy. London: Springer, 2013.
6. KRENAK, A. Ideas to postpone the end of the world. São Paulo: Companhia das Letras, 2020.
7. KOPENAWA, D.; ALBERT, B. Fall from the sky. Words from a Yanomani shaman . São Paulo: Companhia das Letras, 2015.

Basic bibliography:

1.TANEMBAUM, A. S. Computer Networks. 4. ed. São Paulo: Campus, 2003.

2. ROSS, K. Computer Networking: A Top-Down Approach Featuring the Internet. 7. ed. Boston: Addison-Wesley, 2017.
3. PETERSON, L.; DAVIE, B. Computer Networks: A Systems Approach. 5. ed. San Francisco, CA: Morgan Kaufmann Publishers Inc., 2011.

Complementary bibliography:

1. STALLINGS, W. Data Communication Networks and Systems. 5. ed. São Paulo: Campus, 2018.
2. EASLEY, D.; KLEINBERG, J. Networks, Crowds, and Markets: Reasoning About a Highly Connected World. Cambridge: Cambridge University Press, 2010.
3. BERTSEKAS, D. P.; GALLAGER, R. G. Data Networks. 2. ed. Englewood Cliffs, N. J.: Prentice-Hall, Inc., 1991.
4. COVER, T. M.; THOMAS, J. A. Elements of Information Theory. New York: Wiley-Interscience, 2006.
5. KATZ, J.; LINDELL, Y. Introduction to Modern Cryptography. 3. ed. Boca Raton: CRC Press, 2014.

Basic bibliography:

1. NORVIG, P., RUSSELL, S. Artificial Intelligence: A Modern Approach. 4. ed. Harlow, UK: Pearson, 2022.
2. VARSHNEY, K. R. Trustworthy Machine Learning. Independently Published, Chappaqua, 2022.
3. POOLE D. L.; MACKWORTH, A. K. Artificial Intelligence: Foundations of Computational Agents. 3. ed. Cambridge: Cambridge University Press, 2023.

Complementary bibliography:

1. GOODFELLOW, I.; BENGIO, Y.; COURVILLE, A.. Deep Learning. Cambridge: MIT Press, 2016.
2. HYNDMAN, R. J.; ATHANASOPOULOS, G. Forecasting: Principles and Practice. The Texts. 2021. Available at: http://OTexts.com/fpp3. Accessed on: May 21. 2025.
3. THAREJA, R. Artificial Intelligence: Beyond Classical AI. Harlow, UK: Pearson, 2024.
4. BROUSSARD, M. Artificial Unintelligence: How Computers Misunderstand the World. Cambridge: MIT Press, 2018.
5. O’NEIL, C. Weapons of Math Destruction. New York: Penguin Random House LLC, 2016.

Basic bibliography:

1. BARBOZA, H. H.; MELLO, A. C. P. T. The deaf: the unknown. Rio de Janeiro: Folha Carioca, 1997. 121 p.
2. CAPOVILLA, F. C.; RAPHAEL, W. D. Encyclopedia of Brazilian Sign Language: the world of the deaf in LIBRAS. São Paulo: Edusp, 2021.
3. QUADROS, R. M. de; KARNOPP, L. B. Brazilian sign language: linguistic studies. Porto Alegre: Artmed, 2004.

Complementary bibliography:

1. CASTRO, A. R.; CARVALHO, I. S. Communication through Brazilian sign language. 5. ed. Brasília: Senac/DF, 2019.
2. DIDEROT, D. Letter on the blind: addressed to those who see: Letter on the deaf and dumb: addressed to those who hear and speak. Translation by Antonio Geraldo Silva. São Paulo: Escala, 2000.
3. FERNANDES, E. Language and deafness. Porto Alegre: Artmed, 2003.
4. VYGOTSKY, L. S. Thought and language. 4. ed. Translation by J. L. Camargo; review by J. Cipolla Neto. São Paulo: Martins Fontes, 2008.
5. CHOMSKY, N. The Science of Language. Conversations with James McGilvray. São Paulo: Editora da UNESP, 2012.

Basic bibliography: To be defined according to the subject offered in the period.

Complementary bibliography: To be defined according to the subject offered in the period.