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This lecture covers the basics of Matlab programming, including anonymous functions, differentiation, integration, and numerical simulations. It explains how to define and use anonymous functions, perform numerical differentiation and integration, and simulate physical systems using ODE solvers. The lecture also delves into symbolic differentiation, numerical integration methods like trapezoidal and Simpson's rule, and the comparison between Euler and Runge-Kutta methods. Additionally, it demonstrates how to integrate symbolic expressions, handle array access, and perform linear interpolation.