This lecture covers the elementary study of conics, focusing on the definition and Cartesian equations of circles, ellipses, and lines in the plane. The instructor explains the geometric strokes and variable elements involved in analyzing conic sections, emphasizing the analytical geometry of slopes, heights, and locus points. Through examples and diagrams, students learn about parameter choices, equations, and the properties of conics, such as the sum of distances to fixed points. The lecture provides a comprehensive overview of conic sections and their applications in mathematics.