SIT396 - Complex Analysis

Unit details

Year:

2024 unit information

Enrolment modes:Trimester 2: Burwood (Melbourne), Waurn Ponds (Geelong), 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
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.

Educator-facilitated (scheduled) learning activities - on-campus unit enrolment:

1 x 1 hour online lecture per week, 1 x 2 hour practical experience (workshop) per week.

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.

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 (in particular physics), and engineering (e.g., electrical engineering).

ULO These are the Learning Outcomes (ULO) for this unit. At the completion of this unit, successful students can: Deakin Graduate Learning Outcomes
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.

GLO1: Discipline-specific knowledge and capabilities
GLO4: Critical thinking
GLO5: Problem solving
GLO6: Self-management

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
GLO4: Critical thinking
GLO5: Problem solving
GLO6: Self-management

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
GLO4: Critical thinking
GLO5: Problem solving
GLO6: Self-management

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
GLO4: Critical thinking
GLO5: Problem solving
GLO6: Self-management

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
GLO4: Critical thinking
GLO5: Problem solving
GLO6: Self-management

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
Written problem solving tasks

Mathematical problems 30% (15%, 15%) (Part 1, Part 2) Week 6 and Week 11
End-of-Unit Assessment Timed online test 50% 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 the unit can be found on the University Library via the link below: SIT396 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

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