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Partial Differential Equations, Fourier Analysis and Complex Analysis

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Many physical processes such as vibrating strings, diffusion of heat and fluid flows are well modelled by partial differential equations and/or integral equations. This course provides an introduction to methods for solving and analysing standard partial differential equations and integral equations, including an introduction to complex analytic techniques.

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Requisite and Incompatibility

You will need to contact the Mathematical Sciences Institute to request a permission code to enrol in this course.

Learning Outcomes

Upon successful completion, students will have the knowledge and skills to:

On satisfying the requirements of this course, students will have the knowledge and skills to:

Explain the fundamental concepts of partial differential equations and their role in modern mathematics and applied contexts

Demonstrate accurate and efficient use of Fourier series, complex analysis and integral transform techniques

Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from partial differential equations and complex analysis

Apply problem-solving using Fourier series, complex analysis and integral transform techniques applied to diverse situations in physics, engineering and other mathematical contexts.

Explain the use and applications of partial differential equations and/or complex analysis to some topic related to undergraduate study, employment or other experience.

UG Version

On satisfying the requirements of this course, students will have the knowledge and skills to:

1. Explain the fundamental concepts of partial differential equations and their role in modern mathematics and applied contexts2. Demonstrate accurate and efficient use of Fourier series, complex analysis and integral transform techniques3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from partial differential equations and complex analysis4. Apply problem-solving using Fourier series, complex analysis and integral transform techniques applied to diverse situations in physics, engineering and other mathematical contexts.

Published offerings

Future offerings are indicative. Only recognised 2027 sessions with a published class number are offered in the enrolment demo.

MATH6406: sessions and dates as published
YearSessionClass numberClass start dateLast day to enrolCensus dateClass end dateMode Of DeliveryClass Summary
2027Second Semester905126 Jul 202702 Aug 202731 Aug 202729 Oct 2027In PersonN/A
2028Second Semester997624 Jul 202831 Jul 202831 Aug 202827 Oct 2028In PersonN/A
Complete offering text

ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage. The list of offerings for future years is indicative only. Class summaries, if available, can be accessed by clicking on the View link for the relevant class number. 2027 2028 Second Semester Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary 9051 26 Jul 2027 02 Aug 2027 31 Aug 2027 29 Oct 2027 In Person N/A Second Semester Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary 9976 24 Jul 2028 31 Jul 2028 31 Aug 2028 27 Oct 2028 In Person N/A

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