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Research School of Physics · ANU College of Science and Medicine
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 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.
Weekly problem sets (10)
Learning outcomes 1, 2, 3, 4, 5
In-class oral presentation
Learning outcomes 1, 2, 3, 4, 5
Final Exam
Learning outcomes 1, 2, 3, 4
The expected workload will consist of approximately 130 hours throughout the semester including: - Face-to face component which consists of lectures and weekly workshops or tutorials (up to 5hrs per week). - Approximately 70 hours of self-directed study which will include reading materials to prepare for workshops, presentations and other assessment tasks. - Students are expected to actively participate and contribute towards discussions.
There are no prescribed texts for this course, readings will be made available via the Learning Management System. 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) J. Schwichtenberg, "Physics from Symmetry" (online access through ANU library)