MAT2902

Linear algebra and differential equations for engineering

(ENG)

Dr Steven Siems

4 points + 39 lectures and 13 support/practice classes + First/second semester + Clayton + Prerequisite: ENG1902 + Corequisite: ENG1603 + Prohibitions: MAT2911, MAT2920 or MAC2901

Synopsis: Linear algebra: solution of nxn linear systems, eigenvalue problems. Ordinary differential equations: revision of first-order and second-order constant coefficient DEs, variation of parameters, systems of first-order DEs; Fourier series: periodic functions and trigonometric series, Euler formulae, even and odd functions, half-range expansions. Partial differential equations: separation of variable for the heat, wave and Laplace equations, cylindrical coordinates. Laplace transforms: definition, transforms of elementary functions, properties, solution of ODEs, inversion using tables.

Assessment: Examination (2 hours): 80% + Tests and assignments: 20%