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This lecture covers the Euler Forward Method for solving Ordinary Differential Equations (ODEs). It explains the numerical approximation of derivatives, the concept of local and global errors, and the stability analysis of the method. Through examples and error analysis, the instructor demonstrates the application of the Euler Forward Method in estimating solutions. The lecture also delves into the impact of step size on errors and stability, emphasizing the importance of understanding the method's limitations and accuracy in practical implementations.