Overview
This unit provides an introduction to complex analysis and integral transform. Topics include: complex numbers and functions; domains and curves in the complex plane; complex differentiation; complex integration; Cauchy's integral theorem and its consequences; Taylor and Laurent series; Laplace and Fourier transforms; complex inversion formula; branch points and branch cuts; … For more content click the Read More button below.
Offerings
S2-01-CLAYTON-ON-CAMPUS
Rules
Enrolment Rule
Contacts
Chief Examiner(s)
Dr Gregory Markowsky
Unit Coordinator(s)
Dr Gregory Markowsky
Notes
This unit shares seminars and applied classes with MTH3020, but has separate assessment.
Learning outcomes
On successful completion of this unit, you should be able to:
1.
Demonstrate an advanced understanding of the properties of complex numbers and functions, including differentiability;
2.
Evaluate line integrals in the complex plane;
3.
Apply Cauchy's integral theorem and its consequences;
4.
Determine and work with Laurent and Taylor series;
5.
Apply the method of Laplace transforms and evaluate the inverse transform;
6.
Apply advanced complex analysis tools in applications to physics and engineering.
Teaching approach
Problem-based learning
Assessment
1 - Continuos assessment
2 - Final assessment - (3 hours and 10 minutes)
Scheduled and non-scheduled teaching activities
Applied sessions
Seminars
Workload requirements
Workload
Learning resources
Recommended resources
Availability in areas of study
Applied mathematics
Mathematics
Pure mathematics
Mathematics
Pure mathematics