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Related lectures (29)
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Singularities of Curves in Geometry
Explores singularities in curves, including inflection points and points of reversal, and discusses the evolution of torsion along curves.
Parametric Curves: Descartes' Folium
Covers Descartes' Folium, a parametric curve with domain boundaries and tangent vector analysis.
Surfaces in R^3: Curves and Regular Surfaces
Covers curves in R^2, regular surfaces in R^3, and geometric properties of edges.
Regular Curves: Parametrization and Tangent Vectors
Explores regular curves, examples like segments and functions, and curvilinear integrals along regular curves.
Parametrized Curves in 2D
Covers the concept of parametrized curves in 2D and their properties.
Curves in Space: Parametric Equations and Surfaces
Covers the equations for curves and surfaces in space, including parametric and particular surfaces.
Curvature and Oriented Curvature
Explores the concepts of curvature, oriented curvature, and inflection points in regular curves.
Vector Analysis: Scalar Fields
Covers the analysis of scalar fields, including divergence, gradient, and Laplacian.
Parametrized Curves in 2D: Examples and Properties
Explores parametrized curves in 2D, including segments, straight lines, and circles with trigonometric functions.
Regular Curves and Bijectivity
Explores regular curves and their bijectivity properties in mathematical analysis.