Dimensional Analysis is a method in physics and engineering used to understand the relationships between physical quantities by analyzing their units or dimensions (such as length, time, mass, etc.). It simplifies complex equations by breaking down quantities into their fundamental dimensions, allowing us to check the consistency of equations and to scale physical systems.
Vector Calculus is a branch of mathematics that deals with vector fields and operations on vectors in multiple dimensions. It provides tools for describing and analyzing physical quantities that have both magnitude and direction, like velocity, force, and electric fields. Important operations in vector calculus include:
- Gradient (measures the rate and direction of change of a scalar field),
- Divergence (describes the "outflow" of a vector field from a point, useful in fluid flow and electromagnetism),
- Curl (measures the rotation or swirling strength of a vector field around a point).
- Course creator: fatima hiouani