620-231 Vector Analysis

Credit Points

Coordinator

Prerequisites

One of 620-112, 620-122, 620-200, 620-211 (1997 Handbook 618-112, 618-122, 618-200, 618-211); or all of 620-130, 620-141, 620-142 (1997 Handbook 618-130, 618-141, 618-142).

Semester

Contact

Subject Description

Students completing this subject should comprehend

• the manipulation of partial derivatives and vector differential operators;

have developed the ability to

• obtain extrema of functions of several variables;
• calculate line, surface and volume integrals;
• work in curvilinear coordinates;

and appreciate

• the fundamental concepts of vector calculus;
• the relations between line, surface and volume integrals.

Functions of several variables: inverse and implicit function theorems; Lagrange multipliers. Vector calculus: vector fields, gradient, divergence and curl; line, surface and volume integrals; divergence theorem, Stokes' theorem and Green's theorem; curvilinear coordinates.

Assessment

Up to 24 pages of written assignments and a three-hour end-of-semester written examination.