Mathematics 3
G Leary
4 points * 26 lecture hours, 26 tutorial hours * First semester * Caulfield * Prerequisites: MAC1912
Coordinate geometry, cylindrical and spherical polar coordinates, transformations. Multiple integration: double integrals in Cartesian or polar coordinates, triple integrals. Laplace transforms: theorems, inverse Laplace transforms including Heaviside theorems, step functions and application to solutions of differential equations. Fourier analysis: trigonometric and complex exponential Fourier series of periodic functions. Fourier transforms and application to frequency spectrum of non-periodic functions. Probability and statistics: rules, presentation of data, use for statistics software, random variable and probability distributions, expected value, special discrete and continuous distributions. Partial differential equations: solution by direct integration, Laplace transformation and by separation of variables, application to wave and heat equations.
Assessment
Examinations (2 hours + 1 hour): 55% * Tests: 37% * Tutorials: 8%
Recommendeded texts
James G Advanced modern engineering mathematics Addison-Wesley, 1993