Surface Normals: Vector Analysis

Related lectures (30)

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Explores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.

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

Introduces vector definitions, displacement, addition, and applications in geometry.

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

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

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

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Explores vector operations in 3D space, including plane intersections and distance calculations.