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This lecture covers the fundamentals of computational neuroscience, focusing on biophysics and modeling. It delves into the history of scientific computing, the development of climate models, and the evolution of computing technology. The lecture explores the beginnings of scientific computing, the numerical inverting of matrices, and the advancements in computational science over the decades. It discusses Moore's Law, the scaling of computing power, and the challenges and successes in computing technology. The lecture also touches on the Blue Brain Project, the simulation of scientific computing, and the modeling of neurons at different scales.