• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career Undergraduate
  • Course convener
    • Dr Linda Stals
  • Mode of delivery In Person
  • Co-taught Course MATH6406
  • Offered in Second Semester 2018
    See Future Offerings

In physics, economics and engineering, we frequently encounter quantities (for example energy) that depend on many variables (such as position, velocity, temperature). Usually this dependency is expressed through a partial differential equation, and solving these equations is important for understanding these complex relationships.


In this course we will study first and second order partial differential equations. The solution methods studied in this course will include the method of characteristics, separation of variables, Fourier series and Fourier transforms.


This course will be useful for majors in economics, mathematical finance, engineering and physics. We will illustrate the theory with examples from these disciplines.

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.

Indicative Assessment

Assessment will be based on:

One mid-semester exam (25%; LO 1-5)
Tutorial presentation (5%; LO 1-5)
10 Assignments (20%; LO 1-5)
Final exam (50%; LO 1-5)

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 tutorials.

Requisite and Incompatibility

To enrol in this course you must have successfully completed MATH2305 or MATH 2405. You are not able to enrol in this course if you have previously completed MATH 2406.

Prescribed Texts

Partial Differential Equations: An Introduction by Walter Strauss.

Majors

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
7643 23 Jul 2018 30 Jul 2018 31 Aug 2018 26 Oct 2018 In Person

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