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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 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.
Quizzes (approx 12 over the semester)
Learning outcomes 1, 2, 3, 4
Assignments (x3)
Learning outcomes 1, 2, 3, 4
Final Exam
Learning outcomes 1, 2, 3, 4
Essay/written presentation on a chosen topic
Learning outcomes 1, 2, 3, 4, 5
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.
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)