TNB Frame: Frenet-Serret Formulas

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Related lectures (29)

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Curves and Surfaces

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

Coordinate Systems: Polar and Spherical

Covers polar and spherical coordinate systems, position vectors, equations of motion, and Frenet frame concepts.

Curves: Parameterized Curves and Tangent Vectors

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

Differential Geometry: Parametric Curves & Surfaces

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

Curve Integrals of Vector Fields

Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.

Interpolation and Calculus

Covers revisions on calculus, derivation rules, interpolation, and tangent vectors.

Curves and Isometries

Explores curves, isometries, Bezier curves, and the Frenet coordinate system.

Mechanics of Kirchhoff Rods I

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Parametric Curves - Introduction

Introduces parametric curves and discusses tangent vectors and symmetry properties.

Curvilinear Integrals: Tangent Vectors and Oriented Arcs

Explains the tangent vectors and curvilinear integrals along oriented arcs.