Methods of Applied Mathematics 2
Undergraduate
Undergraduate
MATH 3035
Undergraduate
No
106058
4.5
No
School of Information Technology and Mathematical Sciences
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
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.
G. B. Arfken and H. J. Weber 2007, Mathematical Methods for Physicists, 6th edn, Academic Press, London
Common to all relevant programs | |
---|---|
Subject Area & Catalogue Number | Course Name |
MATH 3025 | Differential Equations 2 |
MATH 3031 | Complex Analysis |
Nil
Component | Duration | ||
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INTERNAL, MAWSON LAKES | |||
Lecture | 4 hours x 13 weeks |
Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.
Assignment 1, Assignment 2, Examination
EFTSL*: 0.125
Commonwealth Supported program (Band 2)
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* 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.