Undergraduate - UnitMAT2731 - Multivariate analysis

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered, or view unit timetables.

Synopsis

Vector analysis with physical applications. Integration in three dimensions: along curves, over surfaces and throughout regions of space. Identities including Gauss's divergence theorem and Stokes' theorem. The continuity, momentum and energy equations for fluid flow, expressed in 3D vector form. Mass transport (diffusion and advection), diffusion across a liquid/gas interface and light availability (Lambert-Beer model). Random variables, their probability distributions and expected values as summary measures. The Poisson, normal, exponential distributions and distributions useful in the analysis of extremes. Markov chains with hydrologic applications. Point and interval estimation of model parameters. Simple linear regression and correlation.

Outcomes

On completion of this unit, a student is expected to have developed: an enhanced appreciation of the analytic approach to the solution of engineering science problems; mathematical manipulative skills appropriate to the analysis tools; and an appreciation of the benefits and limitations of mathematical analysis and of the need to interpret a mathematical solution in the context of the engineering problem. The student is also expected to have developed: statistical skills for the analysis of data, the use of basic analytical and simulation techniques for Markov processes and the ability to calculate confidence intervals for means.

Assessment

Three assignments (10% each): 30%
Mid-semester test (1 hour):10%
Examination (3 hours): 60%

Chief examiner(s)

Dr Andrew Percy

Contact hours

3 hours lectures, 2 hours tutorials/ PC laboratory classes and 7 hours of private study per week

Prerequisites

MAT1085 or ENG1902 and ENG1603

Prohibitions

GSE2703, MAT2901, MAT2911, MTH2010