Arc Length: Circle Circumference and Parametric Curves

Related lectures (30)

Page 2 of 3

Covers regular curves and constant speed, with examples of circles and helices.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Covers the representation of plane curves and the nature of obtained curves.

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.

Covers curvilinear coordinates and area calculations using double integrals with examples of different curves.

Covers the concept of parametrized curves in 2D and their properties.

Explores the length of continuously differentiable paths using integrals and parametrizations.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Explores the definition of curves, parameterized curves, and tangent vectors in relation to open intervals and continuous functions.

Covers implicit surfaces, parametric descriptions, regular parametrization, normal vectors, and orientable surfaces.