MAST20009 Vector Calculus
Credit Points:  12.5  

Level:  2 (Undergraduate)  
Dates & Locations:  This subject has the following teaching availabilities in 2017: Semester 1, Parkville  Taught on campus.Show/hide details
Semester 2, Parkville  Taught on campus.Show/hide details
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 170 hours  
Prerequisites:  One of Subject Study Period Commencement: Credit Points: and one of Subject Study Period Commencement: Credit Points:
 
Corequisites:  None  
Recommended Background Knowledge:  None  
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 Student Support and Engagement Policy, academic requirements for this subject are articulated in the Subject Overview, Learning Outcomes, Assessment and Generic Skills sections of this entry. It is University policy to take all reasonable steps to minimise the impact of disability upon academic study, and reasonable adjustments will be made to enhance a student's participation in the University's programs. Students who feel their disability may impact on meeting the requirements of this subject are encouraged to discuss this matter with a Faculty Student Adviser and Student Equity and Disability Support: http://services.unimelb.edu.au/disability 
Coordinator
Dr Charl Ras, Dr Serena DipierroContact
Subject Overview:  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. 

Learning Outcomes:  On completion of this subject, the student should :

Assessment:  Three to five written assignments due at regular intervals during semester amounting to a total of up to 50 pages (20%), and a 3hour written examination in the examination period (80%).

Prescribed Texts:  None 
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 
Generic Skills:  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

Notes:  This subject is available for science credit to students enrolled in the BSc (both pre2008 and new degrees), BASc or a combined BSc course.

Applied Mathematics Applied Mathematics Physics Physics Pure Mathematics Pure Mathematics Sciencecredited subjects  new generation BSCI and BENG. Selective subjects for BBMED  
Mathematics and Statistics Accelerated Mathematics 