Vector Calculus and Complex Variables (MAT30010)

Vector calculus is a branch of mathematics concerned with vector fields and operations on them, such as differentiation and integration. It encompasses the study of gradients, divergence, and curl, which measure the rate of change, source or sink strength, and rotation in a field, respectively. Complex variables, on the other hand, focuses on functions of complex numbers, which are numbers of the form ( z = x + iy ) where ( x ) and ( y ) are real numbers, and ( i ) is the imagina...