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Unit (2020)

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
Credit Points 3
Availability MURDOCH: S1-internal, S2-internal
Teaching Timetables Murdoch S1
Murdoch S2
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.
Previously 2014: MAS4013
2015: 'Honours Topic in Advanced Numerical Analysis'; 2014: 'Honours Topic in Mathematics and Statistics'
Appears in these Courses/Majors:
see individual structures for context
Mathematics and Statistics Honours (BSc(Hons))
Internet Access RequirementsMurdoch 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.

Contacts

Unit Coordinator
MAS513
Dr Mark Lukas
Senior Lecturer

Murdoch Campus
t: 9360 2423
e: M.Lukas@murdoch.edu.au
o: 245.3.028 - Science and Computing, Murdoch Campus
Unit Contacts
MAS513

MURDOCH: S2-Internal
Dr Mark Lukas
Senior Lecturer

Murdoch Campus
t: 9360 2423
e: M.Lukas@murdoch.edu.au
o: 245.3.028 - Science and Computing, Murdoch Campus
MAS513

MURDOCH: S1-Internal
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