units

ENG2092

Faculty of Engineering

18 September 2017
28 May 2023

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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.
## SynopsisComplex 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. ## ObjectivesOn 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 limits of random variables; calculate linear regression and correlations. ## Assessment
Assignments and test: 30% ## Chief examiner(s)## Contact hours3 hours lectures, 2 hours practice classes and 7 hours of private study per week ## Prerequisites## Prohibitions |