35232 Advanced Calculus

6cp; 4hpw

Requisite(s): 35102 Mathematics 2 OR 33230 Mathematical Modelling 2

These requisites may not apply to students in certain courses. See access conditions.

Transform methods such as the Laplace transform are useful in solving differential equations that arise in many areas of applications including signal analysis, mathematical finance and various queuing models in quantitative management. This subject highlights the areas of advanced calculus needed to justify the use of complex integration to invert the Laplace Transform when solving such problems. Topics include: line integrals; Green's theorem; functions of a complex variable; analytic functions; Cauchy-Riemann equations; complex integrals; Cauchy's integral theorem; residues and poles; contour integration; and inversion of Laplace Transform.

Typical availability

Autumn semester, City campus

Fee information

2007 contribution for post-2004 Commonwealth-supported students: $889.75
2007 amount for undergraduate domestic fee-paying students: $2,220.00
Subject EFTSL: 0.125
Note: The above fees are applicable in 2007 for Commonwealth-supported students who commenced after 2004 and domestic fee-paying undergraduate students only. Pre-2005 Commonwealth-supported students should consult the Student contribution charges for Commonwealth supported students webpage.
Not all students are eligible for Commonwealth supported places, and not all subjects are available to Commonwealth supported students. Domestic fee-paying students and international students should refer to the Fees webpage.

Access conditions

Note: The requisite information presented in this subject description covers only academic requisites. Full details of all enforced rules, covering both academic and admission requisites, are available at Access conditions and My Student Admin.