35232 Advanced Calculus

6cp; 4hpw
Requisite(s): 35102 Introduction to Analysis and Multivariable Calculus OR 33230 Mathematical Modelling 2 OR 33290 Statistics and Mathematics for Science
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 (2009)
Spring semester, City campus (2008 only)

Fee information

2008 contribution for post-2008 Commonwealth-supported students: $907.50
Note: Students who commenced prior to 1 January 2008 should consult the Student contribution charges for Commonwealth supported students
Not all students are eligible for Commonwealth Supported places.

2008 amount for undergraduate domestic fee-paying students: $2,490.00

Note: Fees for Postgraduate domestic fee-paying students and international students are charged according to the course they are enrolled in. Students should refer to the Annual Fees Schedule.

Subject EFTSL: 0.125

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.