Arc Length: Circle Circumference and Parametric Curves

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Residue Theorem: Calculating Integrals on Closed Curves

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

Surface of Revolution

Explains the parametric equations of surfaces of revolution generated by curves in space.

Curves in Space: Parametric Equations and Surfaces

Covers the equations for curves and surfaces in space, including parametric and particular surfaces.