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:
- Explain the fundamental concepts of differential equations and vector calculus and their role in modern mathematics and applied contexts.
- Demonstrate accurate and efficient use of techniques involved in solving differential equations and applying vector differential operators.
- Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from the theory of differential equations.
- Apply problem-solving using techniques in differential equations and vector calculus in diverse situations in physics, engineering and other mathematical contexts.
- 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)
In response to COVID-19: Please note that Semester 2 Class Summary information (available under the classes tab) is as up to date as possible. Changes to Class Summaries not captured by this publication will be available to enrolled students via Wattle.
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
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:
- 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 |
Course fees
- Domestic fee paying students
| Year | Fee |
|---|---|
| 2020 | $4050 |
- International fee paying students
| Year | Fee |
|---|---|
| 2020 | $5760 |
Offerings, Dates and Class Summary Links
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.
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 |
|---|---|---|---|---|---|---|
| 3804 | 24 Feb 2020 | 02 Mar 2020 | 08 May 2020 | 05 Jun 2020 | In Person | N/A |