Vector Analysis

Subject 620-231 (2008)

Note: This is an archived Handbook entry from 2008.Search for this in the current handbookSearch for this in the current handbookSearch for this in the current handbook

Credit Points: 12.500
Level: Undergraduate
Dates & Locations:

This subject has the following teaching availabilities in 2008:

Semester 1, - Taught on campus.
Pre-teaching Period Start not applicable
Teaching Period not applicable
Assessment Period End not applicable
Last date to Self-Enrol not applicable
Census Date not applicable
Last date to Withdraw without fail not applicable

Semester 2, - Taught on campus.
Pre-teaching Period Start not applicable
Teaching Period not applicable
Assessment Period End not applicable
Last date to Self-Enrol not applicable
Census Date not applicable
Last date to Withdraw without fail not applicable


Timetable can be viewed here. For information about these dates, click here.
Time Commitment: Contact Hours: 36 lectures (three per week) and 11 1-hour tutorials (one per week)
Total Time Commitment: 120 hours
Prerequisites: One of [07]620-113, [07]620-123, [08]620-143, [05]620-193.
Corequisites: None
Recommended Background Knowledge: None
Non Allowed Subjects: Students may gain credit for only one of 620-231 and 620-233.
Core Participation Requirements: It is University policy to take all reasonable steps to minimise the impact of disability upon academic study and reasonable steps will be made to enhance a student's participation in the University's programs. Students who feel their disability may impact upon their active and safe participation in a subject are encouraged to discuss this with the relevant subject coordinator and the Disability Liaison Unit.

Coordinator

Dr R Brak
Subject Overview:

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 topics include limits, continuity, differentiability, matrix version of chain rule, Jacobian, Taylor polynomials, and Lagrange multipliers. Vector calculus topics include vector fields, flow lines, curvature, torsion, gradient, divergence, curl and Laplacian. Integrals over paths and surfaces topics include line, surface and volume integrals; change of variables; applications including averages, moments of inertia, centre of mass, Green's theorem, Divergence theorem and Stokes' theorem; and curvilinear coordinates.

Assessment: Up to 25 pages of written assignments due during the semester (10%); a 45-minute written test held mid-semester (15%); a 3-hour written examination in the examination period (75%).
Prescribed Texts: None
Breadth Options: This subject is a level 2 or level 3 subject and is not available to new generation degree students as a breadth option in 2008.
This subject or an equivalent will be available as breadth in the future.
Breadth subjects are currently being developed and these existing subject details can be used as guide to the type of options that might be available.
2009 subjects to be offered as breadth will be finalised before re-enrolment for 2009 starts in early October.
Fees Information: Subject EFTSL, Level, Discipline & Census Date
Notes:

This subject is available for science credit to students enrolled in the BSc (pre-2008 degree only), BASc or a combined BSc course.

Students in the combined degree BE/BSc should note that credit exclusions exist between this subject and Engineering mathematics subjects. Refer to entries for 431-201 Engineering Analysis A and 431-202 Engineering Analysis B for details.

Related Course(s): Bachelor of Arts
Bachelor of Engineering (Chemical) and Bachelor of Science
Bachelor of Engineering (Civil) and Bachelor of Science
Bachelor of Engineering (Environmental) and Bachelor of Science
Bachelor of Engineering (Mechanical &Manufacturing)& Bachelor of Science
Bachelor of Engineering(Biochemical Engineering)and Bachelor of Science

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