SIT396 - Complex Analysis
Unit details
| Year | 2025 unit information |
|---|---|
| Enrolment modes: | Trimester 2: Online |
| Credit point(s): | 1 |
| EFTSL value: | 0.125 |
| Unit Chair: | Trimester 2: Vicky Mak |
| Prerequisite: | Two of: SIT291, SIT292 or SIT294 |
| Corequisite: | Nil |
| Incompatible with: | Nil |
| Educator-facilitated (scheduled) learning activities - online unit enrolment: | Online independent and collaborative learning including 1 x 1 hour online lecture per week (recordings provided), 1 x 2 hour online practical experience (workshop) per week. |
| Typical study commitment: | Students will on average spend 150 hours over the teaching period undertaking the teaching, learning and assessment activities for this unit. This will include educator guided online learning activities within the unit site. |
Content
The unit builds on the techniques of applied mathematics developed in level 2 mathematics units and prepares students for continued studies in applied mathematics and investigations of advanced modelling approaches. It explores theory and applications of complex number analysis. The topics covered include complex algebra and functions, analyticity, contour integration, Taylor and Laurent series, Cauchy's integral formula, classification of singularities, conformal mappings and residue theory, as well as applications of residue theory to the evaluation of real integrals. Complex Analysis provides us with a tool to solve hard definite integrals, and has extensive applications in science and engineering, e.g., in Engineering and Quantum Computing.
Learning Outcomes
| ULO | These are the Unit Learning Outcomes (ULOs) for this unit. At the completion of this unit, successful students can: | Alignment to Deakin Graduate Learning Outcomes (GLOs) |
|---|---|---|
| ULO1 | Perform algebraic operations with complex numbers in different representations, understand the underlying mathematical concepts, and communicate the understanding of these concepts through problem solving of either well-defined or open-ended problems. Solving complex number problems using, e.g., Python. | GLO1: Discipline-specific knowledge and capabilities |
| ULO2 | Operate with analytic functions, and elementary functions of complex argument, understand the underlying mathematical concepts, and communicate the understanding of these concepts through problem solving of either well-defined or open-ended problems. | GLO1: Discipline-specific knowledge and capabilities |
| ULO3 | Perform complex integration, understand the underlying mathematical concepts, and communicate the understanding of these concepts through problem solving of either well-defined or open-ended problems. | GLO1: Discipline-specific knowledge and capabilities |
| ULO4 | Represent analytic functions as power series and as Laurent series, understand the underlying mathematical concepts and communicate the understanding of these concepts through problem solving of either well-defined or open-ended problems. | GLO1: Discipline-specific knowledge and capabilities |
| ULO5 | Apply the Residue theorem to calculation of improper real integrals, understand the underlying mathematical concepts and communicate the understanding of these concepts through problem solving of either well-defined or open-ended problems. | GLO1: Discipline-specific knowledge and capabilities |
| ULO6 | Explore how Complex Numbers are used in other areas of science or engineering. | GLO1: Discipline-specific knowledge and capabilities |
Assessment
| Assessment Description | Student output | Grading and weighting (% total mark for unit) | Indicative due week |
|---|---|---|---|
| Assessment 1 Online quizzes | 10 weekly online quizzes | 20% | Weeks 2-11 |
| Assessment 2 | Mathematical problems | 60% (30%, 30%) (Part 1, Part 2) | Week 6 and Week 11 |
| Assessment 3 | Report and video presentation | 20% | End-of-Unit Assessment Period |
The assessment due weeks provided may change. The Unit Chair will clarify the exact assessment requirements, including the due date, at the start of the teaching period.
Learning resource
The texts and reading list for SIT396 can be found via the University Library.
Note: Select the relevant trimester reading list. Please note that a future teaching period's reading list may not be available until a month prior to the start of that teaching period so you may wish to use the relevant trimester's prior year reading list as a guide only.
Unit Fee Information
Fees and charges vary depending on the type of fee place you hold, your course, your commencement year, the units you choose to study and their study discipline, and your study load.
Tuition fees increase at the beginning of each calendar year and all fees quoted are in Australian dollars ($AUD). Tuition fees do not include textbooks, computer equipment or software, other equipment or costs such as mandatory checks, travel and stationery.
For further information regarding tuition fees, other fees and charges, invoice due dates, withdrawal dates, payment methods visit our Current Students website.