MATH5305 is a Honours and Postgraduate Coursework Mathematics course. See the course overview below.
Units of credit: 6
Cycle of offering: Term 3
Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.
This recent course handout (pdf) contains information about course objectives, assessment, course materials and the syllabus.
The Online Handbook entry contains information about the course. (The timetable is only up-to-date if the course is being offered this year.)
If you are currently enrolled in MATH5305, you can log into UNSW Moodle for this course.
Partial differential equations (PDEs) provide a natural mathematical description for many phenomena of interest in science and engineering. Such equations are often difficult or impossible to solve using purely analytical (pencil and paper) methods, especially for realistic industrial problems. This course introduces finite difference and finite element methods for elliptic and parabolic PDEs, and discusses key concepts such as stability, convergence and computational cost. Relevant techniques in numerical linear algebra are also discussed.
The course includes a substantial practical component dealing with the computer implementation of the algorithms used for solving partial differential equations.
Note: Students must have some prior experience with computer programming in (at least one of) Matlab, Python or Julia.