## Unit aim

Extends the concepts developed in Calculus to functions of a complex variable. Group theory is also introduced. Topics from complex analysis include derivatives, Cauchy-Riemann equations, integration, power series methods, residues and poles. Topics from group theory include definition of a group and examples of groups, Lagrange's theorem.

## Unit content

Complex Analysis (Topics 1 to 5) - Functions of a complex variable - Limits and continuity - Derivatives - Cauchy-Riemann equations - Analytic functions - Integration - Cauchy's theorem - Power series methods - Zeros and singularities - Residues and poles.

Group Theory (Topics 6 to 10) - Definitions and examples of groups - Cyclic, Abelian and permutation groups - Finite and infinite groups - Lagrange's theorem - Abstract group theorems - Cosets. Subgroups.

## 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.

## Prescribed texts

### Session 1

• This text is for Complex Analsyis: Wunsch, D, 2005, Complex Variables with Applications, 3rd edn, Pearson, Boston, MA.
• This text is for Group Theory: Gallian, JA, 2013, Contemporary Abstract Algebra, 8th edn, Cengage.
Prescribed texts may change in future study periods.

## Teaching and assessment

### Online

 Teaching method Tutorial online 2 hrs (4weeks) Structured online learning NA (Self paced)
 Assessment Calculations 25% Calculations 25% Quiz SR Exam: closed book 50%
Notice

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

### Domestic

Commonwealth Supported courses
For information regarding Student Contribution Amounts please visit the Student Contribution Amounts.
Commencing 2015 Commonwealth Supported only. Student contribution band: 2

Fee paying courses