620-231 Vector Analysis

Credit Points

Coordinator

Prerequisites

One of 620-112, 620-122, 620-200, 620-211; or all of [98]620-130, [98]620-141, [98]620-142.

Note: In 2000, students will be able to enter this subject if they have passed [99]620-111 or [99]620-121 or [99]620-141; and one of [99]620-112 or [99]620-113 or [99]620-122 or [99]620-123 or [99]620-142 or [99]620-143.

Semester

Contact

Subject Description

This subject develops the manipulation of partial derivatives and vector differential operators. Students should develop the ability to obtain extrema of functions of several variables, calculate line, surface and volume integrals, and to work in curvilinear coordinates. This subject demonstrates the fundamental concepts of vector calculus and 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 3-hour end-of-semester written examination.