# ENG2092 - Advanced engineering mathematics B

## 6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL

### Undergraduate Faculty of Engineering

#### Leader(s): K. Hamza

#### Offered

Clayton Second semester 2009 (Day)

Sunway Second semester 2009 (Day)

#### Synopsis

Complex analysis: introduction to functions of complex variables and the manipulation, differentiation and integration of complex functions, line integrals in the complex plane. Integral transforms: introduction of Laplace transforms and their application to ordinary differential equations. Statistics: probability density function and distribution function of random variables, joint density function of multivariate random functions, expectation and confidence limits of random variables.

#### Objectives

On completing this unit, students will be able to manipulate elementary functions of complex variables (eg multiplication, division, root finding); manipulate exponential and trigonometric functions of complex variables; calculate derivatives and integrals of elementary functions of complex variables; calculate line integrals on the complex plane, apply Cauchy's integral theorem; employ simple Laplace transforms to solve ordinary differential equations; appreciate the representation of random variables through the distribution and density functions; calculate the expected value of a random variable; find the joint distribution of a multivariate random function; develop inference and confidence limites of random variables; calculate linear regression and correlations.

#### Assessment

Assignments and test: 30%

Examination (3 hours): 70%

#### Contact hours

3 hours lectures, 2 hours practice classes and 7 hours of private study per week