OnlineSession 1Session 1

Unit description

Extends the concepts developed in Calculus to functions of a complex variable. Topics from complex analysis include derivatives, Cauchy-Riemann equations, integration, power series methods, residues and poles as well as applications of residues, mapping of elementary functions and applications of conformal mapping. 

Unit content

Topic 1: Complex Numbers
Topic 2: Complex Functions
Topic 3: Elementary Functions
Topic 4: Integration
Topic 5: Series
Topic 6: Residues
Topic 7: Applications of Residues 1
Topic 8: Applications of Residues 2
Topic 9: Conformal Mapping
Topic 10: Applications of Conformal Mapping and Poisson Integral Formula
Topic 11: Applications of Conformal Mapping and Schwarz-Christoffel Transformation

Learning outcomes

Unit Learning Outcomes express learning achievement in terms of what a student should know, understand and be able to do on completion of a unit. These outcomes are aligned with the graduate attributes. The unit learning outcomes and graduate attributes are also the basis of evaluating prior learning.

Learning outcomes and graduate attributes

Prescribed texts

Session 1

  • This text is for Complex Analysis: Wunsch, D, 2005, Complex Variables with Applications, 3rd edn, Pearson, Boston, MA. ISBN: ISBN-13: 978-0201756098 ISBN-10: 0201756099.
Prescribed texts may change in future study periods.

Teaching and assessment


Teaching method
Tutorial online 2 hrs (4weeks)
Structured online learning NA (Self paced)
Exam: closed book50%

Intensive offerings may or may not be scheduled in every session. Please refer to the timetable for further details.

Southern Cross University employs different teaching methods within units to provide students with the flexibility to choose the mode of learning that best suits them. SCU academics strive to use the latest approaches and, as a result, the learning modes and materials may change. The most current information regarding a unit will be provided to enrolled students at the beginning of the study session.

Fee information


Commonwealth Supported courses
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Commencing 2020 Commonwealth Supported only. Student contribution band: 2

Fee paying courses
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