| | Wollongong UniversityThird Year
| Subject Information |
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| Subject Code | MATH302 | | Subject Name | Differential Equations 3 | | Credit Points | 6 | | Pre-Requisites | MATH283 or MATH202 | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Assignments 10%, Mid-session test 20%, Final examination 70%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Autumn (01-03-2010 to 24-06-2010) | | Campus | Loftus | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/week | Lecturer(s) and
Cons. times | Barry Cox
| Coordinator(s) and
Cons. times | Timothy Marchant
| | Instance Comment | | | Census Date | 31-03-2010 |
| Subject Availability |
|---|
| Session | Autumn (01-03-2010 to 24-06-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/week | Lecturer(s) and
Cons. times | Barry Cox
| Coordinator(s) and
Cons. times | Timothy Marchant
| | Instance Comment | | | Census Date | 31-03-2010 |
| Subject Description |
|---|
Many physical problems in the world are modelled with differential equations. This subject extends the knowledge of the student to various types of equations and to their solution. Techniques used widely in many areas of physical science are developed in this subject. Topics include Laplace and Fourier transforms, series solutions, and Hypergeometric and Bessel functions.
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| Extra Information |
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Subject Objectives:
A student who successfully completes this subject should be able to:
(i) evaluate and manipulate relevant harder integrals in terms of Gamma and Beta functions;
(ii) recognise and evaluate harder integro-differential equations able to be solved by Laplace transform methods;
(iii) recognise and evaluate integro-differential equations able to be solved by Fourier transform methods;
(iv) recognise and evaluate differential equations able to be solved by Taylor or Frobenius methods;
(v) recognise, and solve differential equations by the use of the Hypergeometric and Bessel functions. |
| Subject Code | MATH305 | | Subject Name | Partial Differential Equations | | Credit Points | 6 | | Pre-Requisites | MATH201 and MATH202 and MATH203 | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Laboratory 12%; midsession exam 38%; Final examination 50%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Spring (26-07-2010 to 18-11-2010) | | Campus | Loftus | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/week | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | Mark Nelson
| | Instance Comment | | | Census Date | 31-08-2010 |
| Subject Availability |
|---|
| Session | Spring (26-07-2010 to 18-11-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | Mark Nelson
| | Instance Comment | | | Census Date | 31-08-2010 |
| Subject Description |
|---|
MATH305 is in a central area of mathematics, as many physical problems in the world are modelled with partial differential equations. Various types of equations and their solutions are discussed. As many equations cannot be solved in analytical form, numerical methods of solution also are considered. The aim is to develop high level mathematical ability and problem solving skills.
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| Extra Information |
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Subject Objectives:
A student who successfully completes this subject should be able to:
(i) recognise and solve first order partial differential equations;
(ii) classify second order partial differential equations as hyperbolic, elliptic or parabolic;
(iii) use appropriate methods of solution for each of the above types;
(iv) distinguish between methods of solving partial differential equations according to their type;
(v) assess the stability of the numerical methods used to solve partial differential equations;
(vi) demonstrate proficiency by using a laboratory package unassisted to successfully solve partial differential equations. |
| Subject Code | MATH312 | | Subject Name | Applied Mathematical Modelling 3 | | Credit Points | 6 | | Pre-Requisites | MATH202 or (MATH283 and ENGG252) | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Assignments: 40%, Final examination: 60%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Autumn (01-03-2010 to 24-06-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/wk | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | Grant Cox
| | Instance Comment | | | Census Date | 31-03-2010 |
| Subject Description |
|---|
MATH312 builds on work and knowledge originating in MATH111 and MATH212 and shows how to undertake mathematical modelling of many scientific and engineering processes and problems arising in industry. Main foci are: continuum mechanics, including deformation of materials; linear elasticity, including basic concepts of the stress-strain relation; and fluid mechanics.
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| Extra Information |
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Subject Objectives:
A student who successfully completes this subject should be able to: 1. use notions of stress and strain and universal conservation laws in the mathematical formulation of problems in solid and fluid mechanics; 2. use and critically appraise the abstract notions of a |
| Subject Code | MATH313 | | Subject Name | Industrial Mathematical Modelling | | Credit Points | 6 | | Pre-Requisites | MATH202 or (MATH283 and MECH343) | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Case study project 30%; Tutorial participation 10%; Final examination 60%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. | | Availability | Not Available in 2010 |
| Subject Description |
|---|
MATH313 is designed to develop mathematical modelling skills by the examination of case studies relevant to industry. The basic equations are derived from first principles and used to study the transfer of mass and heat, diffusion, solidification and combustion. In addition, the subject aims to improve oral presentation skills by making tutorial participation an assessable component of the subject.
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| Extra Information |
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Subject Objectives:
A student who successfully completes this subject should be able to:
(i) construct a mathematical model for an industrial process involving mass diffusion, heat conduction, change of phase, and combustion;
(ii) express such a mathematical model in dimensionless form, identifying the important dimensionless parameters of a process;
(iii) solve standard fixed and free boundary value problems of heat conduction;
(iv) present and explain mathematical models and their solutions to colleagues/employers. |
| Subject Code | MATH317 | | Subject Name | Financial Calculus | | Credit Points | 6 | | Pre-Requisites | MATH202 and either STAT131 or STAT231 | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Assignments 25%; midsession test 40% Final examination 35%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Autumn (01-03-2010 to 24-06-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/wk | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | Joanna Goard
| | Instance Comment | | | Census Date | 31-03-2010 |
| Subject Availability |
|---|
| Session | Spring (26-07-2010 to 18-11-2010) | | Campus | Loftus | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 4 hrs/week | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | | | Instance Comment | | | Census Date | 31-08-2010 |
| Subject Description |
|---|
This subject introduces the financial calculus and the mathematical and statistical modelling necessary for solving practical problems in three fundamental aspects of financial markets (i) financial assets pricing (ii) financial derivatives pricing and (iii) risk management. The course brings together arbitrage principles, stochastic models of stock prices and interest rates, Ito's Lemma and analytical and numerical techniques for solving partial differential equations, to derive, solve and extend models for the valuation and hedging of a variety of vanilla and exotic options and interest-rate products.
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| Extra Information |
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Generic Extra Information:
MATH317 is a compulsory subject for students enrolled in the Bachelor of Mathematics and Finance and the Bachelor of Mathematics and Economics degrees. It is an elective subject for students enrolled in other mathematics-related degrees. | Subject Objectives:
A student who successfully completes this subject should be able to:
1. explain and apply the mathematical background necessary for pricing options; 2. price European and American options by finding analytical and accurate numerical solutions; 3. construct various risk management strategies and determine their limitations; 4. understand the limitations of the Black-Scholes model and be able to improve on various aspects of the model; 5. price and hedge options under multidimensional dynamics; 6. understand and price many fixed income derivatives using one-factor interest rate models; 7. price exotic options such as barrier, basket, Asian and lookback options. |
| Subject Code | MATH321 | | Subject Name | Numerical Analysis | | Credit Points | 6 | | Pre-Requisites | MATH202 and MATH203 | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | MATH311 | | Assessment | Laboratory reports 20%; Assignments 10%; Final examination 70%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | Tutorials will be assigned by the lecturer in Week 1. |
| Subject Availability |
|---|
| Session | Spring (26-07-2010 to 18-11-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 4 hrs/wk | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | Grant Cox
| | Instance Comment | | | Census Date | 31-08-2010 |
| Subject Description |
|---|
MATH321 is designed to extend the ideas developed in MATH202 and MATH203 as to how numerical and computational mathematics can be used to solve problems that have no analytic solution. The foci are problems in linear algebra and applications to real world problems. Specific techniques include algorithms for calculating eigenvalues and eigenvectors of a matrix.
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| Extra Information |
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Subject Objectives:
On successful completion of this subject, a student should be able to
(i) perform matrix decomposition by various methods;
(ii) determine the effectiveness of various numerical methods;
(iii) maximise the efficiency of various algorithms;
(iv) identify special matrices and implement appropriate methods;
(v) apply singular value decomposition where necessary;
(vi) be proficient in the use of a laboratory package for solving numerical linear algebra problems. |
| Subject Code | MATH322 | | Subject Name | Algebra | | Credit Points | 6 | | Pre-Requisites | Either MATH204 or MATH222 | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Assignments 30%; Final examination 70%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Autumn (01-03-2010 to 24-06-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/week | Lecturer(s) and
Cons. times | Caz Sandison
| Coordinator(s) and
Cons. times | Jacqui Ramagge
| | Instance Comment | | | Census Date | 31-03-2010 |
| Subject Description |
|---|
This subject continues the study of modern algebra begun in the group theory section of MATH204. It focuses on problem solving skills, a clear and critical understanding of mathematical ideas and a capacity for rigorous argument in an algebraic setting. It develops algebraic ideas which arise in various different situations in mathematics and which have widespread applications both within and outside of mathematics. It aims to develop an appreciation of some of the fundamental concepts of modern algebra, and explores the notion of a group as a way of encoding information about symmetry.
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| Extra Information |
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Subject Objectives:
On successful completion of this subject, students will be able to: 1. understand and construct proofs relating to the basic properties of groups. 2. understand and describe results relating to group actions. 3. demonstrate knowledge of commutative rings, integral domains and fields. 4. understand and describe results relating to quotients of groups and rings. 5. demonstrate basic knowledge of modules and their connection with vector spaces. 6. put the concepts studied into their own words, and use the ideas covered to solve problems and extend theory. |
| Subject Code | MATH323 | | Subject Name | Topology and Chaos | | Credit Points | 6 | | Pre-Requisites | MATH222 | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Assignments 30%; Final examination 70%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Spring (26-07-2010 to 18-11-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/week | Lecturer(s) and
Cons. times | Aidan Sims
| Coordinator(s) and
Cons. times | Rodney Nillsen
| | Instance Comment | | | Census Date | 31-08-2010 |
| Subject Description |
|---|
MATH323 aims to develop critical understanding and problem-solving skills in the context of topology and chaos theory. It is intended to convey some of the impact of chaos theory in other areas and encourage interest of the student in phenomena such as the Koch curve. Some concepts discussed are notions of distance, dynamical systems, fractals and the Mandelbrot set.
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| Extra Information |
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Subject Objectives:
Students who successfully complete this subject should be able to:
(i) define some of the basic concepts of topology;
(ii) see connections between topological ideas and chaotic phenomena;
(iii) deduce some elementary results for chaotic phenomena ;
(iv) apply some results of fixed point theory to derive some results in mathematical analysis;
(v) use and appreciate the need for rigorous argument when proving results in topology and chaos;
(vi) illustrate the way in which topological concepts can clarify and enhance the understanding of some topics in other areas. |
| Subject Code | MATH324 | | Subject Name | Calculus of Variations and Geometry | | Credit Points | 6 | | Pre-Requisites | MATH201 and MATH203. | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Individual assignments 15%; Tutorial participation including group work 10%; In class test 10%; Exam 60%; Oral presentation 5% | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. | | Availability | Not Available in 2010 |
| Subject Description |
|---|
This subject is about classical calculus of variations and geometric analysis of curves and surfaces. These areas and the links between them are central to much modern mathematical analysis and also find diverse applications in engineering, physics and biology. This subject builds on students' knowledge of calculus and linear algebra to represent curves and surfaces and their properties, particularly their curvature, analytically, and to develop several important and widely applicable tools for optimisation of energies in various contexts.
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| Extra Information |
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Generic Extra Information:
Assumed knowledge: Calculus of one and several variables; introductory real analysis; linear algebra. | Subject Objectives:
On successful completion of this subject, students will be able to: - Formulate and solve problems in classical calculus of variations and in geometry; - Define, understand and utilize some key geometric concepts about curves and surfaces; - Apply ideas from calculus and linear algebra and problem solving skills in contexts of this subject; - Understand and appreciate some fundamental mathematical theorems and their proofs; - Clearly present mathematical concepts in written form, demonstrating skill in constructing clear mathematical arguments. |
| Subject Code | MATH325 | | Subject Name | Wavelets | | Credit Points | 6 | | Pre-Requisites | MATH201 and MATH203; MATH222 is desirable but not essential. | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Assignments 15%; mid-session exam 15%, Final examination 70%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. | | Availability | Not Available in 2010 |
| Subject Description |
|---|
The theory of wavelets is a branch of mathematical analysis which has developed rapidly over the last 15 years. Wavelets are widely and increasingly important in applications, and at the same time their study permits an accessible introduction to some of the key ideas of modern mathematical analysis. Major topics covered include inner product spaces and the notion of convergence in inner product spaces, Hilbert spaces and Fourier series in Hilbert spaces, the Haar wavelet, and techniques for the construction and analysis of wavelets in general.
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| Extra Information |
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Generic Extra Information:
Assumed knowledge: Calculus of one and several variables; introductory real analysis; linear algebra. | Subject Objectives:
A student who successfully completes this subject should be able to: 1. explain the basic concepts of the theory of wavelets; 2. explain some of the basic concepts of mathematical analysis; 3. state and discuss some of the fundamental results in these areas; 4. perform a range of practical manipulations in these areas; 5. demonstrate the ability to use rigorous argument in these areas. |
| Subject Code | STAT304 | | Subject Name | Applied Probability and Financial Risk | | Credit Points | 6 | | Pre-Requisites | MATH203 and either STAT131 or STAT231 | | Co-Requisites | None | | Restrictions | None. | | Equivalence | STAT923 | | Assessment | Assignments 30%; Examination 70%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Autumn (01-03-2010 to 24-06-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/week | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | Pam Davy
| | Instance Comment | | | Census Date | 31-03-2010 |
| Subject Description |
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This subject develops the stochastic models required for decision making under uncertainty in finance, economics and actuarial statistics. Stochastic models include processes in both discrete time (random walk, Markov chains) and continuous time (birth and death processes, Gaussian processes). The applications focus on the measurement, management and control of risk and its consequences. Particular topics include gambler's ruin, log-normal price models, Value at Risk (VaR) measures and Markowitz portfolio selection.
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| Extra Information |
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Generic Extra Information:
STAT304 is an elective subject for students enrolled in mathematics related degrees. It is a recommended subject for students enrolled in the Bachelor of Mathematics and Finance and the Bachelor of Mathematics and Economics degrees. | Subject Objectives:
A student who successfully completes this subject should be able to: (1) formulate practical problems as Markov chains or other stochastic processes; (2) simulate various stochastic processes; (3) analyse the probabilistic behaviour of simple stochastic processes; (4) manage a portfolio under the acceptance of risk; (5) estimate possible losses that may result from typical movements of the financial market. |
| Subject Code | STAT332 | | Subject Name | Linear and Generalised Linear Models | | Credit Points | 6 | | Pre-Requisites | STAT232 | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Assignments 40%; Examination 60% | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Spring (26-07-2010 to 18-11-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/wk | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | Yan-Xia Lin
| | Instance Comment | | | Census Date | 31-08-2010 |
| Subject Description |
|---|
This unit considers how to investigate relationships between variables arising from observational studies and designed experiments. Topics include: - Model fitting as an approach to statistical analysis - Exponential family of distributions - Maximum likelihood estimation - Inference methods based on model fitting - Models for multiple linear regression; estimation and analysis; diagnostics and model selection - Generalised linear models for categorical data: logistic regression for nominal and ordinal data, Poisson regression and log-linear models - Additive models
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| Extra Information |
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Subject Objectives:
A student who successfully completes this subject should be able to: (i) explain the theory and techniques of model building using linear and generalised linear models; (ii) apply the theory and techniques to practical problems and to use these methods for the purposes of statistical analysis; (iii) undertake model building and fitting for problems representative of those arising in scientific research, industry and commerce. (iv) apply and interpret appropriate procedures from a statistical package such as SAS or R. |
| Subject Code | STAT333 | | Subject Name | Statistical Inference | | Credit Points | 6 | | Pre-Requisites | STAT232 | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Assignments 25%; Examination 75%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Spring (26-07-2010 to 18-11-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/week | Lecturer(s) and
Cons. times | Chandra Gulati
Robert Clark
| Coordinator(s) and
Cons. times | Chandra Gulati
| | Instance Comment | | | Census Date | 31-08-2010 |
| Subject Description |
|---|
This unit considers how to make inferences about unknown quantities from observed data Topics covered include, - Estimation methods: maximum likelihood and minimum variance unbiased estimation - Hypothesis Testing; likelihood ratio, score and Wald tests, - Evaluating tests - Monte Carlo Simulation methods for inference - Randomisation tests - Monte Carlo Markov Chain - Jackknife methods - Bootstrap methods
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| Extra Information |
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Subject Objectives:
A student who successfully completes this subject should be able to A student who successfully completes this subject should be able to: (i) explain the principles of statistical inference and the use of some standard procedures; (ii) derive good parameter estimators and tests of hypotheses in a wide range of circumstances; (iii) perform various forms of inference when the type of distribution being considered is unknown; (iv) explain the concepts of resampling, permutation and other computer intensive approaches to statistical inference; (v) implement computationally intensive techniques of statistical inference in standard situations; and (vi) interpret the results of statistical inference techniques as applied to datasets. |
| Subject Code | STAT335 | | Subject Name | Sample Surveys and Experimental Design | | Credit Points | 6 | | Pre-Requisites | STAT232 or (STAT252 or STAT151 or PSYC232 or ECON121 at Credit level or better), or (STAT131 & STAT231 both at Credit or better) | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | Assignments/projects 30%; Examination 70%. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Autumn (01-03-2010 to 24-06-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hrs/wk | Lecturer(s) and
Cons. times | Carole Birrell
| Coordinator(s) and
Cons. times | Ken Russell
| | Instance Comment | | | Census Date | 31-03-2010 |
| Subject Description |
|---|
STAT335 develops skills in designing and analysing statistical investigations. Statistical computing is an essential part of the course. Topics covered: Experimental designs (completely randomised, randomised complete block, Latin Square, factorial); the analysis of the data arising from these designs; steps in conducting a sample survey; methods such as simple random sampling and stratified sampling, number raised and ratio estimation.
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| Extra Information |
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Subject Objectives:
A student who successfully completes this subject should be able to: (i) explain the importance of proper planning of experiments and sample surveys; (ii) identify the major pitfalls associated with the collection and analysis of data; (iii) evaluate different methods of collecting and analysing data; (iv) design simple experiments and sampling schemes; (v) determine the sample sizes required in experiments and sample surveys; (vi) analyse the results of a simple experiment; (vii) evaluate critically the methodology used in a survey and the validity of the results; (viii) present conclusions in a clear and simple manner. |
| Subject Code | STAT345 | | Subject Name | Statistics Project B | | Credit Points | 6 | | Pre-Requisites | 24 credit points at 200 level | | Co-Requisites | None. | | Restrictions | The subject is only for students enrolled in the BMath(Advanced) degree | | Equivalence | None. | | Assessment | Assessment will depend upon the content and circumstances of the project, and will be specified in advance for each student. Assessment may include: (1) a written report (2) a spoken presentation (3) evaluation of performance in a business or industrial placement (4) evaluation in part by examination (5) assignments | | General Subject | No. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
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| Session | Autumn (01-03-2010 to 24-06-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | 762A - Bachelor of Mathematics Advanced (Wollongong) | | Contact Hours | 3 | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | James McCoy
| | Instance Comment | | | Census Date | 31-03-2010 |
| Subject Availability |
|---|
| Session | Spring (26-07-2010 to 18-11-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | 762A - Bachelor of Mathematics Advanced (Wollongong) | | Contact Hours | 3 | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | James McCoy
| | Instance Comment | | | Census Date | 31-08-2010 |
| Subject Description |
|---|
The subject is a project individually chosen for the student, at a level appropriate to the 300 classification. The content may consist of (1) a placement in business or industry where substantial use is made of statistical techniques; or (2) a project directed towards independent investigation by the student, written and/or oral presentations, and substantial interaction of the student with the supervisors of the project and other members of staff; or (3) a project directed to mastery of a statistical package or language, with specific use of the package or language in some application or area of statistics; or (4) a project of research collaboration with a member or members of staff, of which written and spoken presentation would be a part. Other projects which are appropriate but not primarily in one of these single categories may occur, such as a project combining features of (1) and (2) above.
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| Extra Information |
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Subject Objectives:
After successful completion of the subject, and depending upon the nature of the project undertaken, the student should be able to: (i) demonstrate an independent approach to problems and communication and interaction skills in a business/industrial context where use is made of statistical ideas and procedures, (ii) demonstrate skills of independent thought and investigation, emphasising written and oral communication skills, (iii) demonstrate the development of skills of investigation in the context of computation or statistical software packages, (iv) show the acquisition of research skills involving interaction with established researchers, (v) write an independent report to a high level of presentation as appropriate to the 300 level classification. However, note that whatever the project is, there is to be an emphasis on written and spoken communication skills and upon the capacity of the student to interact and discuss problems with others. |
| Subject Code | STAT355 | | Subject Name | Sample Surveys and Experimental Design (with Project) | | Credit Points | 8 | | Pre-Requisites | STAT232 or STAT252 at Credit level or better, or STAT151 at Credit level or better, or PSYC232 at Credit level or better, or ECON121 at Credit or better, or (STAT131 & STAT231 both at Credit or better) | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | STAT335 | | Assessment | Assignments 20%; Project 25%; Examination 55%. (Note: students should expect to work on the project for 4 hours/week, all session.) | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.167 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 1263 | $ 1263 | $ 1263 | $ 1263 | $ 709 | $ 709 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Autumn (01-03-2010 to 24-06-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 2 hrs lectures; 1 hrs tutorial; consultation with supervisor | Lecturer(s) and
Cons. times | Carole Birrell
| Coordinator(s) and
Cons. times | Ken Russell
| | Instance Comment | | | Census Date | 31-03-2010 |
| Subject Description |
|---|
STAT355 develops skills in designing and analysing statistical investigations. Statistical computing is an essential part of the course. Topics covered: Experimental designs: completely randomised, randomised complete block, Latin Square, factorial; the analysis of the data arising from these designs. Steps in conducting a sample survey; methods such as simple random sampling and stratified sampling, number raised and ratio estimation.
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| Extra Information |
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Generic Extra Information:
Students enrolled in this subject will attend the existing 6 c.p. subject STAT335 and will complete an additional project linking the statistical work of STAT335 to their major field. As the project is worth 2 c.p., students should expect to work on it for 4 hours/week. The subject is being offered for students majoring in disciplines such as Biology or Environmental Science who need to do an 8 c.p. subject. | Subject Objectives:
A student who successfully completes this subject should be able to: (i) explain the importance of proper planning of experiments and sample surveys; (ii) identify the major pitfalls associated with the collection and analysis of data; (iii) evaluate different methods of collecting and analysing data; (iv) design simple experiments and sampling schemes; (v) determine the sample sizes required in experiments and sample surveys; (vi) analyse the results of a simple experiment; (vii) evaluate critically the methodology used in a survey and the validity of the results; (viii) present conclusions in a clear and simple manner. |
| Subject Code | STAT373 | | Subject Name | Special Topics in Probability and Statistics 3 | | Credit Points | 6 | | Pre-Requisites | Entry to this subject is at the discretion of the Head of the School of Mathematics and Applied Statistics. This subject may not be offered in any particular year. | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | A combination of assignments, projects, mid-session and examination. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Spring (26-07-2010 to 18-11-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 4 hours/week | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | | | Instance Comment | in Spring 2010, taught by video conference from UNewcastle: Applied Bayesian Methods | | Census Date | 31-08-2010 |
| Subject Description |
|---|
STAT373 will be available at the discretion of the head of the School. Topics will be selected from areas of expertise of visiting staff members, or from other subjects offered by the School of Mathematics and Applied Statistics.
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| Extra Information |
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Generic Extra Information:
For Spr 2010: Description: The course introduces students to Bayesian thinking and methods from an applied point of view; covering the use of prior information, Bayes rule and inference in standard situations such as proportions, means and relationships between variables. An applied view on Markov chain Monte Carlo methods will also be given. These methods are becoming popular among applied statisticians and analysts from disciplines such as, Economics, Quantitative finance, Health, Environmental science, Engineering and other applied areas, especially because prior information can be incorporated directly into analyses in a sensible way. Course Objectives: - Introduce students to Bayesian thinking - Teach students the use of prior information and Bayes rule in probability and statistical inference problems. - Provide students a comparison with, and alternatives to, frequentist statistical methods in common problems - Teach students inference procedures for proportions, means and relationships between variables. Course Content: 1. Introduction to Bayesian thinking 2. The use of prior information. 3. The beta-binomial; Bayesian estimation of binomial proportions 4. Bayesian estimation of the Poisson parameter. 5. Empirical Bayes estimation 6. The normal estimation problem: means. 7. Analysis of variance. 8. The normal estimation problem: variances. 9. Regression 10. Markov chain Monte Carlo methods. | Subject Objectives:
Where the content is in an area of expertise by a visiting staff member, the objectives will be advised when the subject is offered. |
| Subject Code | STAT374 | | Subject Name | Special Topics in Applied Statistics 3 | | Credit Points | 6 | | Pre-Requisites | Entry to this subject is at the discretion of the Head of the School of Mathematics and Applied Statistics. This subject may not be offered in any particular year. | | Co-Requisites | None. | | Restrictions | None. | | Equivalence | None. | | Assessment | A combination of assignments, projects, mid-session and examination. | | General Subject | Yes. | | EFTSL (Non Weighted) | 0.125 | | Non Weighted Student Contribution Amounts | | Commonwealth Supported (HECS) Students Only | | Pre-1997 | Pre-2005 | Post-2005 | Post-2008 | Post-2009 | Post-2010 |
|---|
| $ 945 | $ 945 | $ 945 | $ 945 | $ 531 | $ 531 | |
| | Weighted Student Contribution Amounts | | | Work Experience | No | | Tutorial Enrolment Information | None. |
| Subject Availability |
|---|
| Session | Spring (26-07-2010 to 18-11-2010) | | Campus | Wollongong | | Delivery Method | On Campus | | Instance Name | Class 1 | | Course Restrictions | No restrictions | | Contact Hours | 3 hours/week | Lecturer(s) and
Cons. times | | Coordinator(s) and
Cons. times | | | Instance Comment | in 2010 taught by videoconference from Newcastle: Total Quality Management | | Census Date | 31-08-2010 |
| Subject Description |
|---|
STAT374 will be available at the discretion of the head of the School. Topics will be selected from areas of expertise of visiting staff members, or from other subjects offered by the School of Mathematics and Applied Statistics.
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| Extra Information |
|---|
Generic Extra Information:
For 2010:On completion of this course, students should be able to: 1. Understand the fundamental principles of Total Quality Management 2. Choose appropriate statistical techniques for improving processes 3. Write reports to management describing processes and recommending ways to improve them. 4. Develop research skills that will allow them to keep abreast of changes in the field of Total Quality Management. 5. Emphasize the process of learning and discovery rather than the presentation of fact. Course Content: 1. the Deming Quality philosophy (and that of other Quality theorists) 2. understanding variability of processes through statistical thinking 3. the role of management in a TQM organisation 4. the role of quality improvement teams and how to organise them 5. the "seven simple tools" 6. data collection through surveys and experimental design 7. basic statistical methods 8. more advanced statistical techniques such as control charts, SPC, and experimental design 9. quality standards (ISO9000) 10. complementary quality techniques such as benchmarking | Subject Objectives:
Where the content is in an area of expertise by a visiting staff member, the objectives will be advised when the subject is offered. |
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