Studying online
There are now 2 possible online modes for units:
Units with modes Online timetabled and Online flexible are available for any student to self-enrol and study online.
Click on an offering mode for more details.
Unit Overview
- Description
This unit provides students with the foundation of complex and Fourier analysis, with an emphasis on Cauchy-Riemann equations, holomorphic functions, analytic continuation in the complex plane, contour integration, residues, Laurent series, Fourier series and Fourier transform, point-wise and L2 convergence.
- Credit
- 6 points
- Offering
(see Timetable) Availability Location Mode Semester 1 UWA (Perth) Face to face - Details for undergraduate courses
- Level 2 core unit in the Mathematics major sequence
- Level 2 option in the Mathematics major sequence
- Outcomes
Students are able to (1) explain and exploit the notions of holomorphic functions and analytic continuation in the complex plane.; (2) compute contour integrals using methods from complex analysis; (3) show convergence of Fourier series and use them for applications to differential equations; and (4) exploit the notion of Fourier transform, find the inverse and use these techniques to solve differential equations.
- Assessment
Indicative assessments in this unit are as follows: (1) tests and (2) exam. Further information is available in the unit outline.
Student may be offered supplementary assessment in this unit if they meet the eligibility criteria.
- Unit Coordinator(s)
- Professor Serena Dipierro
- Unit rules
- Prerequisites
- and
- Advisable prior study
- MATH1013 Mathematical Analysis (ID 8314)
- Contact hours
- lectures: 3 hours per week
workshops: 2 hours per week
- The availability of units in Semester 1, 2, etc. was correct at the time of publication but may be subject to change.
- All students are responsible for identifying when they need assistance to improve their academic learning, research, English language and numeracy skills; seeking out the services and resources available to help them; and applying what they learn. Students are encouraged to register for free online support through GETSmart; to help themselves to the extensive range of resources on UWA's STUDYSmarter website; and to participate in WRITESmart and (ma+hs)Smart drop-ins and workshops.
- Visit the Essential Textbooks website to see if any textbooks are required for this Unit. The website is updated regularly so content may change. Students are recommended to purchase Essential Textbooks, but a limited number of copies of all Essential Textbooks are held in the Library in print, and as an ebook where possible. Recommended readings for the unit can be accessed in Unit Readings directly through the Learning Management System (LMS).
- Contact hours provide an indication of the type and extent of in-class activities this unit may contain. The total amount of student work (including contact hours, assessment time, and self-study) will approximate 150 hours per 6 credit points.
Face to face
Predominantly face-to-face. On campus attendance required to complete this unit. May have accompanying resources online.
Online flexible
100% Online Unit. NO campus face-to-face attendance is required to complete this unit. All study requirements are online only. Unit is asynchronous delivery, with NO requirement for students to participate online at specific times.
Online timetabled
100% Online Unit. NO campus face-to-face attendance is required to complete this unit. All study requirements are online only. Unit includes some synchronous components, with a requirement for students to participate online at specific times.
Online Restricted
Not available for self-enrolment. Students access this mode by contacting their student office through AskUWA. 100% Online Unit.
NO campus face-to-face attendance. All study and assessment requirements are online only. Unit includes some timetabled activities, with a requirement for students to participate online at specific times. In exceptional cases (noted in the Handbook) students may be required to participate in face-to-face laboratory classes when a return to UWA’s Crawley campus becomes possible in order to be awarded a final grade.
External
No attendance or regular contact is required, and all study requirements are completed either via correspondence and/or online submission.
Off-campus
Regular attendance is not required, but student attends the institution face to face on an agreed schedule for purposes of supervision and/or instruction.
Multi-mode
Multiple modes of delivery. Unit includes a mix of online and on-campus study requirements. On campus attendance for some activities is required to complete this unit.