Methods of Applied Mathematics 2

Course aim

The course introduces the student to classical methods of mathematical physics used in the analysis of problems arising in the physical world. The course will present a mix of theory and applications of the different techniques

Course content

Complex function theory of integral transforms, application of residue theory to calculate inverse transforms.
The approximation methods of steepest descent and stationary phase; regular and singular perturbation techniques and asymptotic methods such as asymptotic expansions and the WKB method; method of variation of parameters.
Generalised functions and Green’s functions, applications to linear ordinary differential equations; introduction to the theory of linear partial differential equations; first order equations, method of characteristics, shocks.
Classical second order partial differential equations of mathematical physics; fundamental solutions and Green’s functions for linear partial differential equations, boundary value problems.

Textbook(s)

G. B. Arfken and H. J. Weber 2007, Mathematical Methods for Physicists, 6th edn, Academic Press, London

Prerequisite(s)

Corequisite(s)

Nil

Teaching method

Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.

Assessment

Assignment 1, Assignment 2, Examination

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 2)
To determine the fee for this course as part of a Commonwealth Supported program, go to:
How to determine your Commonwealth Supported course fee. (Opens new window)

Fee-paying program for domestic and international students
International students and students undertaking this course as part of a postgraduate fee paying program must refer to the relevant program home page to determine the cost for undertaking this course.

Non-award enrolment
Non-award tuition fees are set by the university. To determine the cost of this course, go to:
How to determine the relevant non award tuition fee. (Opens new window)

Not all courses are available on all of the above bases, and students must check to ensure that they are permitted to enrol in a particular course.

* Equivalent Full Time Study Load. Please note: all EFTSL values are published and calculated at ten decimal places. Values are displayed to three decimal places for ease of interpretation.