The purpose of this course is to give an in-depth introduction to mathematical methods used in modern physics. This course concentrates on different approaches and techniques which help to solve a variety of problems in theoretical and applied areas of physics. It will review and develop methods of Complex Analysis and their applications to calculation of integrals, finding and analysing solutions of differential equations which appear in physical problems. It will give a basic introduction to groups and their representations which appear in physical problems including rotation group, Lorentz group and simple unitary groups. Asymptotic methods used in modern quantum theory will also be explored. The course will provide strong integration of conceptual and applied elements from the physicists' point of view. Some methods will be illustrated by working computational examples in Mathematica, so that students could get practical experience of application of mathematical methods to various problems in physics.
This course is co-taught with undergraduate students but assessed separately.
Learning Outcomes
Upon successful completion, students will have the knowledge and skills to:
- Demonstrate accurate and efficient use of complex analysis in physical problems.
- Explain fundamental concepts of group theory and its use for analysis of physical symmetries.
- Apply knowledge of methods and practical skills in solving differential equations and their role in physical applications.
- Demonstrate effective use of asymptotic methods in physical problems.
- Demonstrate high level communication skills in written formats.
Indicative Assessment
- Quizzes (approx 12 over the semester) (20) [LO 1,2,3,4]
- Assignments (x3) (30) [LO 1,2,3,4]
- Final Exam (30) [LO 1,2,3,4]
- Essay/written presentation on a chosen topic (20) [LO 1,2,3,4,5]
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
The expected workload will consist of approximately 130 hours throughout the semester including:
- Face-to face component which may consist of 3 x 1 hour lectures and 1 x 2 hour weekly tutorial.
- Approximately 70 hours of self-directed study which will include preparation for lectures, presentations and other assessment tasks.
- Students are expected to actively participate and contribute towards discussions.
Inherent Requirements
No specific inherent requirements have been identified for this course.
Requisite and Incompatibility
Prescribed Texts
N/A
Preliminary Reading
J. Mathews and R.L. Walker, "Mathematical Methods of Physics" (printed, ANU library)
H.J. Weber and G.B. Arfken, "Essentials of Math Methods for Physicists" (printed, ANU library)
Assumed Knowledge
24 units of university advanced level physics. 24 units of university level mathematics for physicists and engineers including Maths knowledge equivalent to MATH2306.
Fees
Tuition fees are for the academic year indicated at the top of the page.
Commonwealth Support (CSP) Students
If you 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). More information about your student contribution amount for each course at Fees.
- Student Contribution Band:
- 2
- Unit value:
- 6 units
If you are a domestic graduate coursework student with a Domestic Tuition Fee (DTF) place or international student you will be required to pay course tuition fees (see below). Course tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found 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 |
|---|---|
| 2024 | $4440 |
- International fee paying students
| Year | Fee |
|---|---|
| 2024 | $6360 |
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 |
|---|---|---|---|---|---|---|
| 3068 | 19 Feb 2024 | 26 Feb 2024 | 05 Apr 2024 | 24 May 2024 | In Person | View |
