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PMTH212 Multivariable Calculus

Updated: 13 October 2011
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. Three lectures and a one-hour tutorial per week.
Recommended Material
Optional 		Text(s):

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

Calculus
ISBN: 9780470183496
Anton, H., Wiley 9th ed. 2009
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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