Vector Calculus TheoremsExplores the Gauss and Green theorems in vector calculus, showcasing their applications through practical examples and geometric interpretations.
Vector Calculus: 2D Curl OperatorExplores the 2D curl operator, its calculation, and geometric interpretation, emphasizing the role of curve speed in curve integrals.
Fluid Kinematics: Euler/LagrangeCovers fluid kinematics, Eulerian and Lagrangian descriptions, total derivative, rotation, vorticity, and Laplacian in fluid dynamics.
Tensor TransformationsIntroduces tensor transformations, rotation matrices, and differential operators in mechanics.
Fluids and ElectromagnetismExplores closed and non-closed surfaces, divergence theorem, Stokes theorem, and fluid properties in fluid dynamics and electromagnetism.