MAT2922

Mathematical methods for materials engineering II ( 6 points, SCA Band 2, 0.125 EFTSL)

Leader: Dr Leo Brewin

Offered:
Clayton Second semester 2005 (Day)

Synopsis: Linear algebra: solution of nxn linear systems, eigenvalue problems, ill-conditioning, iterative methods; Solution of nonlinear equations; bracketing and Newton methods; interpolation and least-squares curve fitting; Fourier series: periodic functions and trigonometric series, Euler formulae, even and odd functions, half range expansions; Partial differential equations: separation of variables for the heat, wave and Laplace equations.

Objectives: On successful completion of this unit, students will be able to demonstrate understanding of the theory of linear algebra including Gaussian elimination; demonstrate understanding of over-determined and under-determined linear systems; find elementary numerical solutions of linear systems; appreciate the numerical methods of curve fitting and interpolation; demonstrate understanding of Fourier series and their application to partial differential equations; classify and solve elementary 2nd order partial differential equations; be able to relate the mathematical methods to specific materials engineering applications.

Assessment: Examination (2 hours) 46%; tests and assignments 54%

Contact Hours: 36 lectures, 11 support/practice classes, 4 laboratory classes.

Prerequisites: ENG1902

Corequisites: ENG1603

Prohibitions: MAT2912, MAT2902