• Offered by Department of Mathematics
  • ANU College ANU Joint Colleges of Science
  • Classification Advanced
  • Course subject Mathematics
  • Areas of interest Mathematics
Ordinary Differential Equations and Advanced Vector Calculus (MATH6405)

This course provides an in depth exposition of the theory of differential equations and vector calculus. Applications will be related to problems mainly from the Physical Sciences.

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 fundamental concepts of differential equations and vector calculus and their role in modern mathematics and applied contexts.
  2. Demonstrate accurate and efficient use of techniques involved in solving differential equations and applying vector differential operators.
  3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from the theory of differential equations.
  4. Apply problem-solving using techniques in differential equations and vector calculus in diverse situations in physics, engineering and other mathematical contexts.
  5. Explain the use and applications of differential equations and/or vector calculus 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 differential equations and vector calculus and their role in modern mathematics and applied contexts.
2. Demonstrate accurate and efficient use of techniques involved in solving differential equations and applying vector differential operators.
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from the theory of differential equations.
4. Apply problem-solving using techniques in differential equations and vector calculus in 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:

  • Eight assignments (20% in total; LO 1-4)
  • Completion of project linking Mathematics to own field of interest (15% in total: LO 1-5)
  • Mid-semester test (25%; LO 1-4)
  • Final examination (40%; LO 1-4)

UG Assessment

  • Eight assignments (25% in total; LO 1-4)
  • Mid-semester test (25%; LO 1-4)
  • Final examination (50%; 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

48 lectures and 10 tutorials


Requisite and Incompatibility

You will need to contact the Department of Mathematics 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. Students continuing in their current program of study will have their tuition fees indexed annually from the year in which you commenced your program. 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 Description
1994-2003 $1650
2014 $2946
2013 $2946
2012 $2946
2011 $2946
2010 $2916
2009 $2916
2008 $2916
2007 $2520
2006 $2520
2005 $2520
2004 $2160
International fee paying students
Year Fee
1994-2003 $3606
2014 $3762
2013 $3756
2012 $3756
2011 $3756
2010 $3750
2009 $3618
2008 $3618
2007 $3618
2006 $3618
2005 $3618
2004 $3618
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.

First Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
3662 16 Feb 2015 06 Mar 2015 31 Mar 2015 29 May 2015 In Person N/A

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