# MAT2731 - Engineering mathematical analysis

## 6 points, SCA Band 2, 0.125 EFTSL

#### Leader: A R Carr and P R Rayment

#### Offered

Gippsland First semester 2007 (Day)

#### 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. Fourier series. Partial differential equations. Random variables, their probability distributions and expected values as summary measures. The Poisson, normal, exponential distributions and distributions useful in the analysis of extremes. Point and interval estimation of model parameters. Simple linear regression and correlation.

#### Objectives

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.

#### Assessment

Three assignments (10% each): 30%

Mid-semester test (1 hour):10%

Examination (3 hours): 60%

#### 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, MTH2032