MA1116 Vector Calculus

The calculus of vector fields; directional derivative, gradient, divergence, curl; potential fields; Green's, Stokes', and the divergence integral theorems. Applications in engineering and physics. Taught at the rate of seven hours per week for five weeks.

Prerequisite

MA1115

Lecture Hours

3

Lab Hours

0

Course Learning Outcomes

• Understand the concept of a vector field (with examples), calculate and interpret the curl and divergence of a vector field, classify vector fields as conservative or nonconservative and find the scalar potential function of a conservative vector field.
• Understand the generalizations of the Fundamental Theorem of Calculus and apply the theorems of vector calculus, such as the Fundamental Theorem of Line Integrals, Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem, to simplify integration problems.
• Apply the computational and conceptual principles of vector calculus in engineering and physics problems.