MATH 251 Vector Analysis

Vector Differential Calculus: Curves in Parametric Form-tangent, norm, arc length parameter. Fields. Gradient. Directional Derivative. Divergence. Curl. . Vector Integral Calculus: Line Integrals. Mass, Work, Flow, Circulation . Line Integrals Independent of Path. Conservative Fields and Potentials. Surfaces and Surface Area. Metric on the Surface. Surface Integrals. Fundamental Theorems of Vector Calculus: Green’s Theorem. Stokes’ Theorem. Gauss (Divergence) Theorem.