MTH3230 Time series and random processes in linear systems
Faculty of Science
MTH3230 Time series and random processes in linear systems is a level 3, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2026 in Semester 2 at Clayton. It has no prerequisites.
- Credit points
- 6
- Offered in 2026
- Semester 2
- Clayton
- Assessment
- Exam 50%
- and 1 other task
This is the 2026 handbook entry. See the 2027 entry.
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Requisites
Before MTH3230
No prerequisites or corequisites besides the enrolment rules below.
After MTH3230
No unit lists MTH3230 as a prerequisite in the 2026 handbook.
Enrolment rules
PREREQUISITE: You must have passed one unit from MTH2010 or MTH2015 or MTH2032or MTH2040 or ENG2005, or be enrolled in the Master of Mathematics or the Master of Financial Mathematics.
MTH2222 is highly recommended
Overview
Multivariate distributions. Estimation: maximum of likelihood and method of moments. Confidence intervals. Analysis in the time domain: stationary models, autocorrelation, partial autocorrelation. ARMA and ARIMA models. Analysis in the frequency domain (Spectral analysis): spectrum, periodigram, linear and digital filters, cross-correlations and cross-spectrum, spectral estimators, confidence interval for the spectral density. State-space models. Kalman filter. Empirical Orthogonal Functions and other Eigen Methods. Use of ITSM.
Offerings in 2026
| Teaching period | Campus | Mode |
|---|---|---|
| Second semester | Clayton | On campus |
Assessment
- Continuous assessmentDemonstration50%
- Final assessment - Exam (3 hours and 10 minutes)Examination50%
Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.
Learning outcomes
When you finish this unit, you should be able to:
- 1
Analyse and evaluate stationary time series models, including autoregressive and moving average processes, and apply projection methods for forecasting;
- 2
Perform time and frequency domain analysis of time series data, applying techniques such as the Kalman filter and using ITSM to interpret and evaluate results;
- 3
Integrate theoretical understanding with practical implementation by applying stochastic models and computational tools to real data problems;
- 4
Communicate statistical reasoning and results effectively, both orally and in writing, and collaborate in small groups to solve problems in time series analysis.
Workload and teaching
- Seminars36 hours
- Applied sessions22 hours
- Teaching approachActive learning
- Three 1-hour seminars;
- One 2-hour applied class (in weeks 2-12) and
- 7 hours of independent study per week.
Active learning will occur in lectures and applied classes.
Where it fits
MTH3230 is part of 7 areas of study in the 2026 handbook.
- APPLMTH07Additional elective unitApplied mathematicsNo reviews yet
- FININMAT05Level 2 and 3 core unitsFinancial and insurance mathematicsNo reviews yet
- MTHSTAT05Level 3 unitsMathematical statisticsNo reviews yet
- MTHSTAT07Level 2 and 3 unitsMathematical statisticsNo reviews yet
- MATHS09Mathematics elective unitsMathematicsNo reviews yet
- MATHS11Mathematics elective unitsMathematicsNo reviews yet
- MATPURE11Pure mathematics elective unitsPure mathematicsNo reviews yet
Contacts
- Unit Coordinators
- Associate Professor Tianhai Tian
- Chief Examiners
- Associate Professor Tianhai Tian
Common questions
What are the prerequisites for MTH3230?
MTH3230 has no prerequisites, but enrolment rules apply.
When is MTH3230 offered?
In 2026, MTH3230 runs in Semester 2 at Clayton.
Does MTH3230 have an exam?
Yes. The exam is worth 50% of the final mark, alongside 1 other task.
Which majors and minors include MTH3230?
MTH3230 is part of Applied mathematics; Financial and insurance mathematics; Mathematical statistics; Mathematics; and Pure mathematics.