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PMTH212 Multivariable Calculus

Updated: 15 January 2013
Credit Points 6
Offering
Responsible Campus Teaching Period Mode of Study
Armidale Trimester 1 Off Campus
Armidale Trimester 1 On Campus
Intensive School(s) None
Supervised Exam There is a UNE Supervised Examination held at the end of the teaching period in which you are enrolled.
Pre-requisites MATH101 and MATH102 or candidature in a postgraduate award in the School of Environmental and Rural Science or School of Science and Technology
Co-requisites None
Restrictions PMTH212A
Notes None
Combined Units None
Coordinator(s) Gerd Schmalz (schmalz@une.edu.au)
Unit Description

Topics include: partial derivatives; the chain rule; basic geometrical topics on curves and surfaces in relation to multivariable functions; extreme values; double and triple integrals; change of variables; vector functions; line integrals; Green's theorem; divergence theorem; Stokes theorem.
Important Information

Where calculators are permitted in examinations, it must be selected from an approved list, which can be accessed from the Further Information link below.

Further information
Recommended Material
Optional 		Text(s):

Note: Recommended material is held in the University Library - purchase is optional

Calculus
ISBN: 9780470647721
Anton, H., Wiley 10th ed. 2012
Text refers to: Trimester 1 , On and Off Campus
Disclaimer Unit information may be subject to change prior to commencement of the teaching period.
Assessment
Title Exam Length Weight Mode No. Words
Assignments 30%
Assessment Notes
11 Problem-based assignments.
Relates to Learning Outcomes (LO) and Graduate Attributes (GA)
LO: 1, 2, 3 GA: 1, 6
Final Examination 3 hrs 70%
Relates to Learning Outcomes (LO) and Graduate Attributes (GA)
LO: 1, 2, 3 GA: 1, 6

Learning Outcomes (LO) Upon completion of this unit, students will be able to:
  1. gain a basic understanding of the concepts and applications of multivariable differential calculus;
  2. gain a basic understanding of the concepts and applications of integral calculus and it's multivariable functions; and
  3. use mathematical analysis skills to solve problems in relevant scientific subjects.

Graduate Attributes (GA)
Attribute Taught Assessed Practised
1 Knowledge of a Discipline
Embedded in problem-solving skills. Demonstrated in lectures, practised and applied in tutorials, assessed in problem-based assignment tasks and exams. 		True True True
5 Life-Long Learning
The student will discover the breadth of the discipline through this unit, and will become aware of it's ongoing development as a tool of higher research. 		True True
6 Problem Solving
The student will encounter in this unit a field of knowledge that is intensely problem-based, and will acquire skill in translating verbal and numerical information into mathematical formulae on which quantitative models are based. 		True True True
   

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