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This lecture covers the concept of parameterization of curves, focusing on finding the parameterization of curves such as y² = x and circles of radius r. The instructor explains the process of parameterization and the importance of continuous settings in curve representation. Various examples are provided to illustrate the application of parameterization in different scenarios, including orthogonal planes and normal bases. The lecture emphasizes the verification of equations and the selection of appropriate formulas for accurate curve representation.