Information on this page, including unit offerings, is from the 2020 academic year.
Honours Topic in Numerical Analysis (MAS513)
|Organisational Unit||Information Technology, Mathematics and Statistics|
|Availability||MURDOCH: S1-internal, S2-internal|
|Teaching Timetables||Murdoch S1
|Description||This unit develops an understanding of and insight into the most important numerical methods used in mathematics and statistics. This will come through discussion of the methods and their theory together with practical computations. Topics covered include error analysis, iteration and convergence, stability; systems of linear equations; matrix eigenvalue problems; solution of non-linear equations; interpolation by polynomials and splines; numerical integration; ordinary and partial differential equations.|
|Unit Learning Outcomes||On successful completion of the unit students should be able to:
1. use and analyse direct methods, with error analysis, for systems of linear equations
2. use and analyse iterative methods, with convergence analysis, for systems of linear equations
3. use and analyse iterative and factorization methods for matrix eigenvalue problems
4. use and analyse methods for non-linear equations
5. use and analyse polynomial and spline interpolation
6. use and analyse methods for numerical integration
7. use and analyse methods for ordinary and partial differential equations
8. use the software MATLAB to implement various numerical methods
|Timetabled Learning Activities||Lectures: 3 x 1 hour per week arranged by the Unit Coordinator.|
|Unit Learning Experiences||In the lectures, students learn the underlying concepts of computational mathematics, the forms of various numerical methods and the theory and analysis of the methods. From this they will be able to apply the methods, knowing their strengths and limitations.
Through assignment work, students also learn to implement various numerical methods in MATLAB programs.
|Assessment||Assignments and a final examination.|
|Prerequisites||Enrolment in Honours in Mathematics and Statistics.|
2015: 'Honours Topic in Advanced Numerical Analysis'; 2014: 'Honours Topic in Mathematics and Statistics'
|Appears in these Courses/Majors:
see individual structures for context
|Internet Access Requirements||Murdoch units normally include an online component comprising materials, discussions, lecture recordings and assessment activities. All students, regardless of their location or mode of study, need to have access to and be able to use computing devices with browsing capability and a connection to the Internet via Broadband (Cable, ADSL or Mobile) or Wireless. The Internet connection should be readily available and allow large amounts of data to be streamed or downloaded (approximately 100MB per lecture recording). Students also need to be able to enter into online discussions and submit assignments online.|