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Related lectures (28)
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Residue Theorem: Calculating Integrals on Closed Curves
Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.
Curvature and Osculating Circle
Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.
Parametrized Curves in 2D
Covers the concept of parametrized curves in 2D and their properties.
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.
Perspective of a Sphere & a Circle
Explores conical sections, plane curves, and the perspective of a sphere and a circle.
Curves in Space: Parametric Equations and Surfaces
Covers the equations for curves and surfaces in space, including parametric and particular surfaces.
Regular Curves and Constant Speed
Covers regular curves and constant speed, with examples of circles and helices.
Geometric Curve Reparameterization
Covers the reparameterization of geometric curves and the concept of 'same geometric curve'.
Homogeneous Coordinates and Curves
Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.
