Note: This is an archived Handbook entry from 2012.
|Dates & Locations:|| |
This subject has the following teaching availabilities in 2012:Semester 1, Parkville - Taught on campus.
Semester 2, Parkville - Taught on campus.
Lectures and practice classes.
Timetable can be viewed here. For information about these dates, click here.
|Time Commitment:||Contact Hours: 3 x one hour lectures per week, 1 x one hour practice class per week |
Total Time Commitment:
Estimated total time commitment of 120 hours
Study Period Commencement:
Semester 1, Semester 2
and one of
Study Period Commencement:
Summer Term, Semester 1, Semester 2
|Recommended Background Knowledge:|| |
|Non Allowed Subjects:||
Students may only gain credit for one of
Passing MAST20009 Vector Calculus precludes subsequent credit for MAST20029 Engineering Mathematics.
Enrolment in MAST20009 Vector Calculus is permitted for students who have passed MAST20029 Engineering Mathematics. (N.B. Students in this situation will need to contact their student centre for assistance in enrolling in MAST20009).
|Core Participation Requirements:||
For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements of this entry.
CoordinatorDr Christine Mangelsdorf, Dr Mark Fackrell
Second Year Coordinator
This subject studies the fundamental concepts of functions of several variables and vector calculus. It develops the manipulation of partial derivatives and vector differential operators. The gradient vector is used to obtain constrained extrema of functions of several variables. Line, surface and volume integrals are evaluated and related by various integral theorems. Vector differential operators are also studied using curvilinear coordinates.
Functions of several variables topics include limits, continuity, differentiability, the 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 in the plane, Gauss' divergence theorem, Stokes' theorem; and curvilinear coordinates.
On completion of this subject, the student should :
Three to five written assignments due at regular intervals during semester amounting to a total of up to 50 pages (20%), and a 3-hour written examination in the examination period (80%).
|Prescribed Texts:|| |
|Breadth Options:|| |
This subject potentially can be taken as a breadth subject component for the following courses:
You should visit learn more about breadth subjects and read the breadth requirements for your degree, and should discuss your choice with your student adviser, before deciding on your subjects.
|Fees Information:||Subject EFTSL, Level, Discipline & Census Date|
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include
This subject is available for science credit to students enrolled in the BSc (both pre-2008 and new degrees), BASc or a combined BSc course.
Previously known as 620-231 Vector Analysis (prior to 2009).
Science credit subjects* for pre-2008 BSc, BASc and combined degree science courses |
Science-credited subjects - new generation B-SCI and B-ENG. Core selective subjects for B-BMED.
|Related Breadth Track(s):||
Accelerated Mathematics |
Mathematics and Statistics
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