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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, 2024-2 -- 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: 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
Taught at: 2024 -- Graduate course, Universidade Federal de Santa Catarina (UFSC)
Ordinary Differential Equations (ODEs) are used to describe various types of phenomena in nature. On one hand, they allow us to look at systems in a comprehensive and abstract way. However, finding general solutions even for linear problems can be challenging. Adding nonlinearities makes the situation even more complex, as, among other things, the principle of superposition no longer holds. In this short course, we will introduce simple yet powerful principles that can be used to get an overview of the entire family of solutions of nonlinear ODEs. Through examples (Lasers, Josephson Junctions, Ising Model, Electrical Circuits, Oscillators, Chemical Reactions, etc.), concepts such as phase space, fixed point, limit cycle, attracting, repelling, and chaotic orbits, and bifurcations (when a solution transforms into another through parameter changes) will be discussed. Read more