• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Classification Advanced
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career Postgraduate
  • Course convener
    • Dr Linda Stals
  • Mode of delivery In Person
  • Co-taught Course MATH2306
  • Offered in Second Semester 2019
    See Future Offerings
Partial Differential Equations, Fourier Analysis and Complex Analysis (MATH6406)

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.

Learning Outcomes

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 contexts
  2. Demonstrate accurate and efficient use of Fourier series, complex analysis and integral transform techniques
  3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from partial differential equations and complex analysis
  4. Apply problem-solving using Fourier series, complex analysis and integral transform techniques applied to diverse situations in physics, engineering and other mathematical contexts.
  5. 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 contexts
2. Demonstrate accurate and efficient use of Fourier series, complex analysis and integral transform techniques
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from partial differential equations and complex analysis
4. Apply problem-solving using Fourier series, complex analysis and integral transform techniques applied to diverse situations in physics, engineering and other mathematical contexts.

Indicative Assessment

Note: Graduate students attend joint classes with undergraduates but will be assessed separately. Assessment will be based on:

  • Assignments (30% in total; LO 1-4)
  • Completion of project linking Mathematics to own field of interest (15% in total: LO 1-5)
  • Final examination (55%; LO 1-4)

UG Assessment

  • Assignments (30%; LO 1-4)
  • Final exam (70%; LO 1-4)

The ANU uses Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. While the use of Turnitin is not mandatory, the ANU highly recommends Turnitin is used by both teaching staff and students. For additional information regarding Turnitin please visit the ANU Online website.

Workload

Four lectures per week and regular workshops.

Requisite and Incompatibility

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

Assumed Knowledge

Students previous background and knowledge will be considered on a case-by-case basis by the Mathematics Masters Convenor.

Fees

Tuition fees are for the academic year indicated at the top of the page.  

If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.

Student Contribution Band:
Band 2
Unit value:
6 units

If you are an undergraduate student and have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). You can find your student contribution amount for each course at Fees.  Where there is a unit range displayed for this course, not all unit options below may be available.

Units EFTSL
6.00 0.12500
Note: Please note that fee information is for current year only.

Offerings and Dates

The list of offerings for future years is indicative only

Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery
8446 22 Jul 2019 29 Jul 2019 31 Aug 2019 25 Oct 2019 In Person

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