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Handbook 1997 : Faculty of Science : Mathematics

618-231 Vector Analysis

Note:

Following changes in the content of 618-141, 618-142 for 1997, the requirement of concurrent enrolment in 618-200 for students entering 618-231 from 618-141, 618-142, 618-130 will be removed in 1998.

Credit Points:

12.5

Coordinator:

Assoc. Professor P A Pearce

Prerequisite/s:

One of Mathematics 618-102 (1995 Handbook), 618-112, 618-122, 618-200, 618-211; or all of 618-141, 618-142, 618-130, with concurrent enrolment in 618-200.

Timetable:

Semester 1 and 2

Contact:

39 lectures (three a week) and 13 x 1-hour laboratory classes or tutorials (one a week)

Objectives:

On completion of this subject, students should:

Comprehend:

  • the manipulation of partial derivatives and vector differential operators.

Have developed:

  • the skills to obtain extrema of functions of several variables;

  • the skills required to calculate line, surface and volume integrals;

  • the skills to work in curvilinear coordinates.

Appreciate:

  • the fundamental concepts of vector calculus;

  • the relations between line, surface and volume integrals.

Content:

Functions of several variables: 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; calculus of variations.

Assessment:

Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
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Handbook 1997 : Faculty of Science : Mathematics 
Status:                   OFFICIAL 1997
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Email Enquiries:          Course_Information@registrar.unimelb.edu.au
Copyright © University of Melbourne 1997.