• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Classification Advanced
    Specialist
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career PGRD
  • Course convener
    • Prof Xu-Jia Wang
  • Mode of delivery In Person
  • Co-taught Course
  • Offered in Second Semester 2020
    See Future Offerings

The course will discuss the three main classes of equations: elliptic, parabolic and hyperbolic. Topics will include:

  • Fundamental solutions
  • Maximum principles
  • Regularity (smoothness) of solutions
  • Variational problems
  • Holder and Sobolev spaces

Note: Graduate students attend joint classes with later year undergraduate students but are assessed separately.

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:

1. Explain the concepts and language of partial differential equations and their role in modern mathematics and applied contexts
2. Analyse and solve complex problems using partial differential equations as functional and analytical tools
3. Apply problem-solving with partial differential equations to diverse situations in physics, engineering and other mathematical contexts
4. Apply partial differential equations to specific research problems in mathematics or other fields

Indicative Assessment

  • 3-4 written assignments involving problem-solving, proofs of theorems and extension of theory (60%; LO 1-4)
  • Final exam (40%; 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

Regular meetings.

Requisite and Incompatibility

Incompatible with MATH4202

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

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:
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
Domestic fee paying students
Year Fee
2020 $4050
International fee paying students
Year Fee
2020 $5760
Note: Please note that fee information is for current year only.

Offerings, Dates and Class Summary Links

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.

Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
8592 27 Jul 2020 03 Aug 2020 31 Aug 2020 30 Oct 2020 In Person N/A

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