Mathematics

You must complete two units (12 credit points) from the following list, or from the units listed above (not already completed).

• FIT2014Theory of computation6 cp
• MTH2132The nature and beauty of mathematics6 cp
• MTH3000Mathematics research project level 36 cp
• MTH3150Algebra 2: Rings and fields6 cp
• MTH3320Computational linear algebra6 cp
• MTH3401Special topics in mathematics 16 cp
• MTH3402Special topics in mathematics 26 cp

You must complete one unit (6 credit points) from the following list. Note: If you meet the prerequisites, you may consider replacing MTH3110 and MTH3170 with their advanced units: MTH3115 and MTH3175.

• MTH2137Number theory and cryptography6 cp
• MTH3137Number theory and cryptography (Advanced)6 cp
• MTH2141Algebra 1: Group theory6 cp
• MTH3141Algebra 1: Group theory6 cp
• MTH3110Differential geometry6 cp
• MTH3130Topology: The mathematics of shape6 cp
• MTH3160Metric spaces, Banach spaces, Hilbert spaces6 cp
• MTH3170Network mathematics6 cp

You must complete the following units. Note 1: You complete only one of MTH2140 or MTH3140. If you complete MTH2140 instead of its Level 3 counterpart, MTH3140, none of the Level 2 units listed under Additional units can be counted towards this extended major. 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
• MTH2032Differential equations with modelling6 cp
• MTH2222Mathematics of uncertainty6 cp
• MTH2140Real analysis6 cp
• MTH3140Real analysis6 cp

You must complete one unit (6 credit points) from the following list.

• MTH2232Mathematical statistics6 cp
• 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

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

• MTH1035Techniques for modelling (Advanced)6 cp
• MTH2015Multivariable calculus (advanced)6 cp
• 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

You must complete one unit (6 credit points) from the following list. Note: If you meet the prerequisites, you may consider replacing MTH3020 with its advanced unit: MTH3025

• MTH2051Introduction to computational mathematics6 cp
• MTH3011Partial differential equations6 cp
• MTH3020Complex analysis and integral transforms6 cp
• MTH3060Advanced ordinary differential equations6 cp
• MTH3330Optimisation and operations research6 cp
• MTH3340Numerical methods for partial differential equations6 cp
• MTH3360Fluid dynamics6 cp

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.