units

MTH2015

Faculty of Science

18 September 2017
04 March 2021

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## 6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSLRefer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
## Synopsis
This unit is an alternative to MTH2010 for students with a strong mathematical foundation. ## Objectives
On completion of this unit students will be able to: - demonstrate understanding of fundamental concepts in multivariable calculus and its applications in a number of areas of mathematics and science;
- test the formal definition of limits and continuity of functions of several variables;
- develop higher order expansion of the Taylor series in multivariable calculus;
- determine extreme values of multivariable functions;
- differential the determinant of a square matrix;
- evaluate line, double, triple and surface integrals;
- comprehend the concepts of gradient, divergence and curl;
- prove identities of grad, div and curl;
- apply the Gauss divergence theorem and the Stokes' theorem;
- have developed skills in the effective use of computer algebra software as an aid for modelling and in the production of scientific reports; and
- be able to apply rigorous mathematical reasoning to problem solving, and to develop simple mathematical proofs.
## Assessment
Continuous assessments: 40% ## Chief examiner(s)## Contact hoursThree 1-hour lectures plus one 2-hour tutorial/computer laboratory per week ## PrerequisitesA High Distinction in VCE Enhancement Mathematics or MTH1030; a Distinction in MTH1035; or by approval of the Head of School of Mathematical Sciences. In order to enrol in this unit students will need to apply via the Faculty of Science office. ## Prohibitions |