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SIT396 - Complex Analysis

Year:

2020 unit information

Important Update:

Classes and seminars in Trimester 2/Semester 2, 2020 will be online. Physical distancing for coronavirus (COVID-19) will affect delivery of other learning experiences in this unit. Please check your unit sites for announcements and updates one week prior to the start of your trimester or semester.

Last updated: 2 June 2020

Enrolment modes:Trimester 2: Burwood (Melbourne), Waurn Ponds (Geelong), Cloud (online)
Credit point(s):1
EFTSL value:0.125
Unit Chair:Trimester 2: Vicky Mak
Prerequisite:

Two units chosen from SIT291, SIT292, 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.

Scheduled learning activities - campus:

1 x 1 hour online seminar per week, 1 x 2 hour workshop per week.

Scheduled learning activities - cloud:

1 x 1 hour scheduled online seminar 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).

 

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

These Unit Learning Outcomes are applicable for all teaching periods throughout the year

Assessment

Assessment Description Student output Weighting (% total mark for unit) Indicative due week
Online quizzes 10 weekly online quizzes 20% Weeks 2-11
Written problem solving tasks  Mathematical problems 30% (part 1 15%, part 2 15%) Week 7
Examination 2-hour written examination 50% Examination 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.

Hurdle requirement

To be eligible to obtain a pass in this unit, students must achieve at least 40% of the total marks allocated for the examination.

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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