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Taught at: 2022-2 -- Undergraduate course, Universidade Federal de Santa Catarina (UFSC)
This course covers the fundamentals of rotational mechanics, oscillations, waves (including sound), and the principles of thermodynamics. We study the kinematics and dynamics of rigid body rotation, and grasp fundamental concepts related to temperature, heat, entropy, thermodynamic cycles and the kinetic theory of gases. Read more
Taught at: 2022-2, 2023-1, 2023-2, 2024-1 -- Undergraduate course, Universidade Federal de Santa Catarina (UFSC)
Study of the equilibrium conditions of particles and rigid bodies (structures, beams, trusses, etc.) in the 2D and 3D, involving the calculation of reactions in standard connections and supports used in engineering; calculation of axial forces, shear forces, and bending moments in structures and beams; calculation of centroids of areas and volumes of simple and composite figures; calculation of moments of inertia of simple and composite flat plates and simple and composite solids; cable equilibrium. Read more
Taught at: 2024 -- Undergraduate course, Universidade Federal de Santa Catarina (UFSC)
Equações diferenciais ordinárias (EDOs) são usadas na descrição de diversos tipos de fenômeno na natureza. Por um lado, elas nos permitem olhar para os sistemas de maneira abrangente e abstrata. Entretanto, achar soluções gerais mesmo para problemas lineares pode ser desafiador. Ao adicionar não-linearidades, a situação fica ainda mais complexa, já que, entre outras coisas, o princípio da superposição perde a validade. Neste minicurso, vamos introduzir princípios simples, mas poderosos, que podem ser usados para se ter uma visão geral de toda a família de soluções das EDOs não-lineares. Através de exemplos (Lasers, Juntas de Josephson, Modelo de Ising, Circuitos Elétricos, Osciladores, Reações Químicas, etc), serão discutidos conceitos como espaço de fase, ponto fixo, ciclo-limite, órbitas atratoras, repelentes e caóticas, e bifurcações (quando uma solução se transforma em outra através da mudança de parâmetros). Read more
Taught at: 2020, 2024 -- Graduate course, Latin American School on Computational Neuroscience - LASCON, Universidade de São Paulo (USP)
Explore the connection of dynamical systems in neural modeling. Delve into reduced one- and two-dimensional neural models, examining their intricacies and behavior in phase-space analysis. Uncover the phenomena of subthreshold oscillations, the canard phenomenon, and resonance, both subthreshold and suprathreshold. The course also delves into the intriguing dynamics of bursting in neural systems. Read more
Taught at: 2020 -- Graduate course, Latin American School on Computational Neuroscience - LASCON, Universidade de São Paulo (USP)
Dive into the intricate world of “Synaptic Plasticity and Learning,” unraveling the mechanisms that underlie the adaptability of neural connections. From the classic Hebb rule to modern models of Hebbian learning, explore spike-timing dependent potentiation and depression, as well as long and short term synaptic changes. Understand the principles of unsupervised learning, delve into the Hopfield model, and explore the fascinating realm of reward-based learning. Read more