Master of Science (Research) Mathematics/Statistics
contents
introduction
Key Points
• 48 credit point major thesis and 24 credit points of coursework
• 1.5 years full-time or part-time equivalent
• entry requirement is a good honours bachelor degree in maths/statistics or good Master of Mathematics/Statistics degree.
• Location: Wollongong campus
• Starting session: Autumn or Spring
The degree is designed to give higher level training in mathematical/statistical research and enhance the analytical and communication skills required by professional mathematicians/statisticians. An honours masters degree is suitable for someone wishing to undertake higher level research but for whom the extensive nature of a Doctor of Philosophy degree is not appropriate.
Research will usually be in an area of major research interest for the School. Some students will find such a degree useful preparation for later doctoral studies.
The coursework component of this degree is beneficial for those who wish to update their knowledge and skills in an area especially relevant to their work environment, prepare for their research, and expand their knowledge of mathematics/statistics.
After successful completion of the MSc (Research) in mathematics, a student is eligible to become an accredited member of the Australian Mathematical Society, or after completion of the MSc (Research) in statistics is eligible to become a graduate member of the Statistical Society of Australia, and may become an accredited member after gaining relevant practical experience.
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brief guide to course content and structure
The Master of Science (Research) Mathematics and the Master of Science (Research) Statistics is made up of a combination of research and coursework. However, candidates with a Bachelors Honours degree at a standard of Class II, Division 2 or higher, (or an equivalent coursework Pass Masters degree) may be given exemption from all, or some, of the coursework.
The degree is normally 72 credit points, comprising of 48cp research thesis and 24cp of coursework. The program must be completed in a maximum time of two years full-time and requires satisfactory completion of the following:
• 24cp of subjects from the Mathematics/Statistics 900 level schedule ; and
• 48 credit point thesis subject MATH/STAT 993.
In exceptional circumstances, and subject to approval of the Head of School, subjects with the value of at most 6 credit points from the program may be replaced by 900 level subjects from another discipline with value of at least 6 credit points.
Students contemplating enrolling for the Master of Science (Research) degree are encouraged to speak with members of staff in the School in the session before enrolment to help select the general area of their project. Once this general area of study is selected, the appropriate supervisors and the final research topic should also be determined before enrolment. Final approval must be sought from the Head of School before work is commenced. A meeting is usually held with appropriate supervisors and the Head of School to finalise these arrangements.If it is not possible to define a topic before enrolment, it should be determined and submitted to the University Research Committee before the end of the first session.
Each student has a main supervisor and a secondary supervisor, appointed on the recommendation of the Head of School.
Students are encouraged to attend School and other seminars and postgraduate activities and to discuss their work widely. Apart from their supervisors, they will be asked to discuss their progress with at least the Head of School and other senior staff. Students will be expected to give short presentations on their work to fellow students and department staff, and at the annual Postgraduate Open Day in August to members of the public. Attendance at a conference will be at least partially funded by the University. Students will be encouraged to prepare and present their results for publication in professional journals, either individually or jointly with their supervisor.
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programs
There are four different programs available:
1. applied statistics
2. engineering and industrial mathematics (applied mathematics)
3. analysis (pure mathematics)
4. foundations of mathematics (pure mathematics)
Applied Statistics Program
STAT993 Major Thesis and 4 elective subjects
Electives - Applied Statistics
• STAT901 Modern Inference
• STAT902 Advanced Data Analysis
• STAT903 Survey Design and Analysis
• STAT904 Statistical Consulting
• STAT941 Statistical Quality Control 1
• STAT942 Design & Analysis for Quality Control
• STAT981 Advanced Topics in Statistics A
• STAT982 Advanced Topics in Statistics B
• STAT983 Advanced Topics in Statistics C
For details of the subject contents, go to Subject Descriptions Online.
Engineering and Industrial Mathematics Program
MATH993 Thesis and 4 elective subjects
Electives -Engineering and Industrial Mathematics
• MATH902 Solution of Differential Equations by One-Parameter Groups
• MATH911 Coastal Dynamics
• MATH912 Mathematics of Microwave Heating
• MATH913 Fluid Mechanics and Wave Theory
• MATH914 Analytical Dynamics
• MATH915 Applied Nonlinear Partial Differential Equations
• MATH916 Heat Conduction and Moving Boundary Problems
• MATH917 Advanced Numerical Analysis
• MATH918 Computational Fluid Mechanics
• MATH971 Advanced Topics in Applied Mathematics A
• MATH972 Advanced Topics in Applied Mathematics B
• MATH980 Preliminary Topics in Mathematics A
• MATH981 Preliminary Topics in Mathematics B
For details of the subject contents, go to Subject Descriptions Online.
Pure Mathematics - Analysis Progam
MATH993 Thesis and 4 elective subjects
Electives - Analysis
• MATH904 Stability for Partial Differential Equations
• MATH905 Functional Analysis and Control Theory
• MATH921 Advanced Functional Analysis
• MATH923 Measure and Integration MATH924 Distributions
• MATH928 Advanced Measure Theory
• MATH973 Advanced Topics in Pure Mathematics A
• MATH974 Advanced Topics in Pure Mathematics B
• MATH980 Preliminary Topics in Mathematics A
• MATH981 Preliminary Topics in Mathematics B
For details of the subject contents, go to Subject Descriptions Online.
Pure Mathematics - Foundations of Mathematics Progam
MATH993 Thesis and 4 elective subjects
Electives - Foundations of Mathematics
• MATH903 Mean Periodic Functions
• MATH925 Topics in Algebra
• MATH926 Logic and Set Theory
• MATH927 Combinatory Logic
• MATH929 General Topology
• MATH973 Advanced Topics in Pure Mathematics A
• MATH974 Advanced Topics in Pure Mathematics B
• MATH980 Preliminary Topics in Mathematics A
• MATH981 Preliminary Topics in Mathematics B
For details of the subject contents, go to Subject Descriptions Online.
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current research areas
The following areas of research are currently available to students in Statistics:
• E-education
• Epidemiology
• Experimental design
• Multivariate analysis
• Non- and semi- parametrics
• Sample survey design, analysis and methodology
• Spatial statistics
• Time series analysis
The following areas of research are currently available to students in Mathematics:
• Algebra
• Analysis
• Combustion theory and dynamical systems
• Financial mathematics
• Industrial applications of mathematics
• Logic and type theory
• Number theory
• Numerical modelling: exact solutions of partial differential equations
• Solid and fluid mechanics
• Symmetry analysis: numerical solutions of partial differential equations
• Topology
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