Handbook 1996 : Faculty of Science (Volume 4 page 210)
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618-231 "Vector Analysis" appears differently in several places - choose the one you want:

1. 618-231 Mathematics, Faculty of Science.
2. 618-231 Math. & Stats., Faculty of Educ(Parkville).

1. Mathematics, Faculty of Science (v4, p210) : Next:618-232 | Prev:618-222

618-231 Vector Analysis

Credit points: 12.0

Coordinator: Professor A J Guttmann

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

Contact: 39 lectures (three a week)

Timetable: Offered in both semesters

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.

1. Mathematics, Faculty of Science (v4, p210) : Next:618-232 | Prev:618-222

2. Math. & Stats., Faculty of Educ(Parkville) (v5, p146) : Next:618-232 | Prev:618-212

618-231 Vector Analysis

Credit points: 12.0

Coordinator: Professor A J Guttmann.

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

Contact: 39 lectures (three each week)

Timetable: First or second semester.

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.

* Note that CONTACT, CONTENT, SEMESTER differs from the maintainer's version above. A log of variations is available.

2. Math. & Stats., Faculty of Educ(Parkville) (v5, p146) : Next:618-232 | Prev:618-212

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Status:          Official 1996
Date created:    Oct  9 1995
Last modified:   Oct  9 1995
Authorised by:   Academic Registrar
Email enquiries: Course_Information@registrar.unimelb.edu.au

Copyright © University of Melbourne 1995,1996.