Differential equations
4 points * First/Second semester * Clayton * Prerequisites: MAT1020 * MAT2030 is recommended * Prohibitions: MAA2011, MAT2920
Objectives On the completion of this subject students will be able to understand basic concepts in ordinary and partial differential equations soluble by analytic methods, and their application in areas of mathematics and science; extend basic concepts of ordinary differential equations to higher order and some nonlinear types; have met three basic partial differential equations and use Fourier series techniques to solve some boundary value problems for these differential equations; they will be acquainted with the computer algebra package Maple and be able to use it to solve simple problems in the area of the subject.
Synopsis Ordinary differential equations: first and second order differential equations soluble by analytic techniques. Variation of parameters for linear non-homogenous differential equations. Power series solutions. Partial differential equations: wave equation, diffusion equation, Laplace's equation, separation of variables. Fourier series and application to boundary value problems. Use of a computer algebra package.
Assessment Examination (1.5 hours): 85% * Test and/or assignments: 15%
Prescribed texts
Kreyszig E Advanced engineering mathematics 7th edn, Wiley, 1993
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