Graph Surfaces and Sphere in Spherical Coordinates

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Related lectures (30)

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Intersection between Sphere and Cone

Explores the intersection between a sphere and a cone using spherical and cylindrical coordinates.

Center of Gravity and Variable Change

Discusses center of gravity, variable change, spherical coordinates, and bijectivity in mathematical analysis.

Ball Rolling on Hemisphere

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.

Multiple Integration: Spherical Coordinates

Explains multiple integration using spherical coordinates to calculate volumes of spheres and ellipsoids.

Geodesics on Surfaces

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

Surface of Revolution

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

Closed Surfaces and Integrals

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

Graph Surfaces: Integration and Vector Calculus

Covers integrating functions over graph surfaces in vector calculus, emphasizing the interpretation of divergence theorem and special cases of domain between two graphs.

Sphere, Cone, and Paraboloid

Explores the intersection of a sphere, cone, and paraboloid in 3D space.

Surfaces in Space

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.