Probability and statistics

Bachelor of Engineering (Honours) and Bachelor of Science (E3007) - You must complete ENG1005 Engineering Mathematics and ENG2005 Engineering Mathematics (Advanced) instead of the core units MTH1030 or MTH1035 and MTH2010 or MTH2015, respectively. - ENG1005 and ENG2005 count towards the requirements of the extended major; however, they do not contribute to the 96 credit points of Science units required for the Bachelor of Science. Bachelor of Science and Bachelor of Computer Science (S2004) - You must complete MAT1830 or FIT1058 instead of the core unit MTH1110. - MAT1830 or FIT1058 counts towards the requirements of the extended major; however, they do not contribute to the 96 credit points of Science units required for the Bachelor of Science.

You must complete one unit (6 credit points) from the following list, or from the above list (not already completed). Note 1: MTH2051 has a corequisite requirement of SCI1022, FIT1045, FIT1053 or ENG1060. If you do not have basic coding skills, you are strongly encouraged to complete one of these units. However, these units do not count towards the requirements of this extended major. Note 2: If you meet the prerequisites, you may consider replacing MTH3020, MTH3110 and MTH3170 with their advanced units: MTH3025, MTH3115 and MTH3175.

• MTH2032Differential equations with modelling6 cp
• MTH2051Introduction to computational mathematics6 cp
• MTH2137Number theory and cryptography6 cp
• MTH3011Partial differential equations6 cp
• MTH3020Complex analysis and integral transforms6 cp
• MTH3060Advanced ordinary differential equations6 cp
• MTH3110Differential geometry6 cp
• MTH3130Topology: The mathematics of shape6 cp
• MTH3160Metric spaces, Banach spaces, Hilbert spaces6 cp
• MTH3170Network mathematics6 cp
• MTH3320Computational linear algebra6 cp
• MTH3330Optimisation and operations research6 cp
• MTH3360Fluid dynamics6 cp
• MTH2141Algebra 1: Group theory6 cp
• MTH3137Number theory and cryptography (Advanced)6 cp
• MTH3141Algebra 1: Group theory6 cp
• MTH3340Numerical methods for partial differential equations6 cp
• MTH3401Special topics in mathematics 16 cp
• MTH3402Special topics in mathematics 26 cp

You must complete seven units (42 credit points) from the following list. Note 1: You complete one of MTH2140 or MTH3140. Note 2: If you meet the prerequisites, you may consider replacing MTH1030, MTH2010, MTH2021 and MTH2222 with one or more of their advanced units: MTH1035, MTH2015, MTH2025 and MTH2225. Note 3: For Bachelor of Science and Bachelor of Computer Science (S2004) double degree students, you must complete MAT1830 or FIT1058 instead of the core unit MTH1110. Note 4: For Bachelor of Engineering (Honours) and Bachelor of Science (E3007) double degree students, you must complete ENG1005 Engineering Mathematics and ENG2005 Engineering Mathematics (Advanced) instead of the core units MTH1030/MTH1035 and MTH2010/MTH2015, respectively.

• MTH1110Foundations of mathematics6 cp
• MTH1030Techniques for modelling6 cp
• MTH2010Multivariable calculus6 cp
• MTH2021Linear algebra with applications6 cp
• MTH2222Mathematics of uncertainty6 cp
• MTH2232Mathematical statistics6 cp
• MTH2140Real analysis6 cp
• MTH3140Real analysis6 cp

You must complete four units (24 credit points) from the following list.

• MTH3230Time series and random processes in linear systems6 cp
• MTH3241Random processes in the sciences and engineering6 cp
• MTH3251Financial mathematics6 cp
• MTH3260Statistics of stochastic processes6 cp
• MTH3000Mathematics research project level 36 cp

If you meet the prerequisites, you may consider replacing the corresponding units listed above with one or more of the following advanced units.

• MTH2025Linear algebra (Advanced)6 cp
• MTH2225Mathematics of uncertainty (Advanced)6 cp
• MTH3025Complex analysis and integral transforms (Advanced)6 cp
• MTH3115Differential geometry (Advanced)6 cp
• MTH3175Network mathematics (Advanced)6 cp
• MTH1035Techniques for modelling (Advanced)6 cp
• MTH2015Multivariable calculus (advanced)6 cp