Leader: T Lun
Clayton Second semester 2006 (Day)
Malaysia Second semester 2006 (Day)
OS-IRAN Second semester 2006 (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: three hours lectures, one two-hour practice class and seven hours of private study per week