Category
Vector analysis
Related lectures (853)
Surface Integrals: Change of Variables
Explores surface integrals, change of variables, and properties of regular surfaces.
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.
Divergence and Stokes' Theorems
Introduces the divergence and Stokes' theorems, comparing surface and volume integrals, and explains parameterization of surfaces and boundaries.
Surface Integrals, Divergence Theorem
Covers surface integrals, divergence theorem, and regular domains in 2D and 3D.
Curvilinear Integrals and Conservative Fields
Explores curvilinear integrals, conservative fields, and their implications in various contexts.
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.
Magnetostatics: Magnetic Field and Force
Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.
Green's Theorem: Transforming Integrals in 2D
Covers Green's Theorem, transforming 2D integrals into 1D line integrals.
Vector Calculus: 2D Curl Operator
Explores the 2D curl operator, its calculation, and geometric interpretation, emphasizing the role of curve speed in curve integrals.
Curvilinear Integrals, Conservative Fields, and Green's Theorem
Covers curvilinear integrals, conservative fields, and Green's Theorem with examples.