# Table 1: Financial Mathematics and Statistics

Table 1 lists units of study available to students in the Bachelor of Science and combined degrees. The units are available to students enrolled in other degrees in accordance with their degree resolutions.

Unit of study |
Credit points |
A: Assumed knowledge P: Prerequisites C: Corequisites N: Prohibition |
Session |
---|---|---|---|

## Financial Mathematics and Statistics |
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For a major in Financial Mathematics and Statistics, students are required to complete: | |||

(i) MATH3075/3975; | |||

(ii) STAT3011/3911; | |||

(iii) STAT3012/3912; and | |||

(iv) One of the following units of study: STAT3013/3913, STAT3014/3914, MATH3076/3976, MATH3078/3978, MATH3969, MATH3974 or INFO3404/3504 | |||

## Junior units of study |
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MATH1001Differential Calculus This unit of study is not Data Audit Committee Approved |
3 | A HSC Mathematics Extension 1 N MATH1011 or MATH1901 or MATH1906 or MATH1111 or ENVX1001. |
Semester 1 Summer Main |

MATH1901Differential Calculus (Advanced) This unit of study is not Data Audit Committee Approved |
3 | P HSC Mathematics Extension 2 N MATH1001 or MATH1011 or MATH1906 or MATH1111 or ENVX1001 |
Semester 1 |

MATH1906Mathematics (Special Studies Program) A - Departmental permission is required for this unit This unit of study is not Data Audit Committee Approved |
3 | N MATH1001 or MATH1011 or MATH1901 or MATH1111 or ENVX1001 Note: Department permission required for enrolmentEnrolment is by invitation only. Prerequisites: UAI (or ATAR equivalent) of at least 98.5 and result in Band E4 HSC Mathematics Extension 2 |
Semester 1 |

MATH1002Linear Algebra This unit of study is not Data Audit Committee Approved |
3 | A HSC Mathematics or MATH1111 N MATH1012 or MATH1014 or MATH1902 |
Semester 1 Summer Main |

MATH1902Linear Algebra (Advanced) This unit of study is not Data Audit Committee Approved |
3 | P HSC Mathematics Extension 2 N MATH1002 or MATH1012 or MATH1014 |
Semester 1 |

MATH1003Integral Calculus and Modelling |
3 | A HSC Mathematics Extension 1, or MATH1001, or MATH1011, or a Credit or higher in MATH1111 N MATH1013 or MATH1903 or MATH1907, MATH1013 or MATH1903 or MATH1907, MATH1013 or MATH1903 or MATH1907 |
Semester 2 Semester 2 Summer Main Summer Main |

MATH1903Integral Calculus and Modelling Advanced |
3 | A HSC Mathematics Extension 2, or Credit or better in (MATH1001 or MATH1901) P HSC Mathematics Extension 2 N MATH1003 or MATH1013 or MATH1907, MATH1003 or MATH1013 or MATH1907, MATH1003 or MATH1013 or MATH1907 |
Semester 2 Semester 2 |

MATH1907Mathematics (Special Studies Program) B |
3 | P Distinction or greater in MATH1906 N MATH1003 or MATH1903 or MATH1013, MATH1003 or MATH1903 or MATH1013, MATH1003 or MATH1903 or MATH1013 Note: Department permission required for enrolment in the following sessions:Semester 2Enrolment is by invitation only. |
Semester 2 Semester 2 |

MATH1005Statistics |
3 | A HSC Mathematics N MATH1015 or MATH1905 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020, MATH1015 or MATH1905 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020, MATH1015 or MATH1905 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020 |
Semester 2 Semester 2 Summer Main Summer Main Winter Main Winter Main |

MATH1905Statistics (Advanced) |
3 | P HSC Mathematics Extension 2 N MATH1005 or MATH1015 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020, MATH1005 or MATH1015 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020, MATH1005 or MATH1015 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020 |
Semester 2 Semester 2 |

## Intermediate units of study |
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MATH2070Optimisation and Financial Mathematics |
6 | A MATH1003 or MATH1903 or MATH1907 P (MATH1011 or MATH1001 or MATH1901 or MATH1906) and (MATH1014 or MATH1002 or MATH1902) N MATH2010 or MATH2033 or MATH2933 or MATH2970 or ECMT3510, MATH2010 or MATH2033 or MATH2933 or MATH2970 or ECMT3510, MATH2010 or MATH2033 or MATH2933 or MATH2970 or ECMT3510 Students may enrol in both MATH2070 and MATH3075 in the same semester |
Semester 2 Semester 2 |

MATH2970Optimisation and Financial Mathematics Adv |
6 | A MATH1903 or MATH1907 or Credit in MATH1003 P (MATH1901 or MATH1906 or Credit in MATH1001) and (MATH1902 or Credit in MATH1002) N MATH2010 or MATH2033 or MATH2933 or MATH2070 or ECMT3510, MATH2010 or MATH2033 or MATH2933 or MATH2070 or ECMT3510, MATH2010 or MATH2033 or MATH2933 or MATH2070 or ECMT3510 Students may enrol in both MATH2970 and MATH3975 in the same semester |
Semester 2 Semester 2 |

STAT2011Statistical Models This unit of study is not Data Audit Committee Approved |
6 | P (MATH1001 or MATH1901 or MATH1906 or MATH1011) and (MATH1005 or MATH1905 or MATH1015 or STAT1021 or ECMT1010 or BUSS1020) N STAT2911, STAT2901, STAT2001 |
Semester 1 |

STAT2911Probability and Statistical Models (Adv) This unit of study is not Data Audit Committee Approved |
6 | P (MATH1903 or MATH1907 or Credit in MATH1003) and (MATH1905 or MATH1904 or Credit in MATH1005 or Credit in ECMT1010 or Credit in BUSS1020) N STAT2011, STAT2001, STAT2901 |
Semester 1 |

STAT2012Statistical Tests |
6 | P MATH1005 or MATH1905 or MATH1015 or ECMT1010 or BUSS1020 N STAT2912, STAT2004, STAT2912, STAT2004, STAT2004, STAT2912 |
Semester 2 Semester 2 |

STAT2912Statistical Tests (Advanced) |
6 | A STAT2911 P MATH1905 or Credit in MATH1005 or Credit in ECMT1010 or Credit in BUSS1020 N STAT2004, STAT2012, STAT2004, STAT2012, STAT2004, STAT2012 |
Semester 2 Semester 2 |

## Senior core units of study |
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MATH3075Financial Mathematics |
6 | P 12 credit points of Intermediate Mathematics, including (MATH2070 or MATH2970) N MATH3975 or MATH3015 or MATH3933, MATH3975 or MATH3015 or MATH3933, MATH3975 or MATH3015 or MATH3933 |
Semester 2 Semester 2 |

MATH3975Financial Mathematics (Advanced) |
6 | P Credit average or greater in 12 credit points of Intermediate Mathematics (including MATH2070 or MATH2970) N MATH3933 or MATH3015 or MATH3075, MATH3933 or MATH3015 or MATH3075, MATH3933 or MATH3015 or MATH3075 |
Semester 2 Semester 2 |

STAT3011Stochastic Processes and Time Series This unit of study is not Data Audit Committee Approved |
6 | P (STAT2011 or STAT2911) and (MATH1003 or MATH1903 or MATH1907). N STAT3005, STAT3905, STAT3911, STAT3003, STAT3903 |
Semester 1 |

STAT3911Stochastic Processes and Time Series Adv This unit of study is not Data Audit Committee Approved |
6 | P (STAT2911 or credit in STAT2011) and (MATH1003 or MATH1903 or MATH1907) N STAT3003, STAT3005, STAT3011, STAT3905, STAT3903 |
Semester 1 |

STAT3012Applied Linear Models This unit of study is not Data Audit Committee Approved |
6 | P (STAT2012 or STAT2912) and (MATH1002 or MATH1014 or MATH1902) N STAT3902, STAT3904, STAT3004, STAT3912, STAT3002 |
Semester 1 |

STAT3912Applied Linear Models (Advanced) This unit of study is not Data Audit Committee Approved |
6 | P (STAT2912 or Credit in STAT2012) and (MATH2061 or MATH2961 or MATH1902) N STAT3904, STAT3004, STAT3012, STAT3002, STAT3902 |
Semester 1 |

## Senior elective units of study |
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STAT3013Statistical Inference |
6 | P (STAT2011 or STAT2911) and (STAT2012 or STAT2912) N STAT3901, STAT3001, STAT3913, STAT3901, STAT3001, STAT3913, STAT3901, STAT3001, STAT3913 |
Semester 2 Semester 2 |

STAT3913Statistical Inference Advanced |
6 | P STAT2911 and (STAT2012 or STAT2912) N STAT3001, STAT3901, STAT3013, STAT3901, STAT3001, STAT3013, STAT3901, STAT3001, STAT3013 |
Semester 2 |

STAT3014Applied Statistics |
6 | A STAT3012 or STAT3912 P STAT2012 or STAT2912 N STAT3902, STAT3006, STAT3914, STAT3002, STAT3914, STAT3002, STAT3902, STAT3006, STAT3914, STAT3002, STAT3902, STAT3006 |
Semester 2 Semester 2 |

STAT3914Applied Statistics Advanced |
6 | A STAT3912 P STAT2912 or credit or better in STAT2012. N STAT3006, STAT3902, STAT3014, STAT3907, STAT3002, STAT3902, STAT3907, STAT3002, STAT3014, STAT3006, STAT3902, STAT3907, STAT3002, STAT3014, STAT3006 |
Semester 2 Semester 2 |

MATH3076Mathematical Computing This unit of study is not Data Audit Committee Approved |
6 | P 12 credit points of Intermediate Mathematics and one of (MATH1001 or MATH1003 or MATH1901 or MATH1903 or MATH1906 or MATH1907) N MATH3976 or MATH3016 or MATH3916 |
Semester 1 |

MATH3976Mathematical Computing (Advanced) This unit of study is not Data Audit Committee Approved |
6 | P 12 credit points of Intermediate Mathematics and one of (MATH1903 or MATH1907), or Credit in MATH1003 N MATH3076 or MATH3016 or MATH3916 |
Semester 1 |

MATH3078PDEs and Waves |
6 | A (MATH2061 or MATH2961) and (MATH2065 or MATH2965) P 12 credit points of Intermediate Mathematics N MATH3018 or MATH3921 or MATH3978, MATH3018 or MATH3921 or MATH3978, MATH3018 or MATH3921 or MATH3978 |
Semester 2 Semester 2 |

MATH3978PDEs and Waves (Advanced) |
6 | A (MATH2061 or MATH2961) and (MATH2065 or MATH2965) P Credit average or greater in 12 credit points of Intermediate Mathematics N MATH3078 or MATH3018 or MATH3921, MATH3078 or MATH3018 or MATH3921, MATH3078 or MATH3018 or MATH3921 |
Semester 2 Semester 2 |

MATH3969Measure Theory and Fourier Analysis (Adv) |
6 | A At least 6 credit points of (Intermediate Advanced Mathematics or Senior Advanced Mathematics units) P Credit average or greater in 12 credit points Intermediate Mathematics N MATH3909, MATH3909, MATH3909 |
Semester 2 Semester 2 |

MATH3974Fluid Dynamics (Advanced) This unit of study is not Data Audit Committee Approved |
6 | A MATH2961 and MATH2965 P Credit average or greater in 12 credit points of Intermediate Mathematics N MATH3914 |
Semester 1 |

INFO3404Database Systems 2 |
6 | A This unit of study assumes that students have previous knowledge of database concepts including (1) ER modelling, (2) the relational data model and (3) SQL. The prerequisite material is covered in INFO 2120/2820. Familiarity with a programming language (e.g. Java or C) is also expected. N INFO3504, INFO3504, INFO3504 |
Semester 2 Semester 2 |

INFO3504Database Systems 2 (Adv) |
6 | A This unit of study assumes that students have previous knowledge of database concepts including (1) ER modelling, (2) the relational data model and (3) SQL. The prerequisite material is covered in INFO 2120/2820. Sound experience with the C programming language and the Unix software development environment is also expected. P Distinction-level result in INFO2120 or INFO2820 or COMP2007 or COMP2907 N INFO3404, INFO3404, INFO3404 |
Semester 2 Semester 2 |

### Financial Mathematics and Statistics

##### Junior units of study

**MATH1001 Differential Calculus**

*This unit of study does not have Data Audit Committee approval*

**MATH1901 Differential Calculus (Advanced)**

*This unit of study does not have Data Audit Committee approval*

**MATH1906 Mathematics (Special Studies Program) A - Departmental permission is required for this unit**

*This unit of study does not have Data Audit Committee approval*

**MATH1002 Linear Algebra**

*This unit of study does not have Data Audit Committee approval*

This unit of study introduces vectors and vector algebra, linear algebra including solutions of linear systems, matrices, determinants, eigenvalues and eigenvectors.

**MATH1902 Linear Algebra (Advanced)**

*This unit of study does not have Data Audit Committee approval*

**MATH1003 Integral Calculus and Modelling**

**MATH1903 Integral Calculus and Modelling Advanced**

This unit of study parallels the normal unit MATH1003 but goes more deeply into the subject matter and requires more mathematical sophisticaton.

**MATH1907 Mathematics (Special Studies Program) B**

**MATH1005 Statistics**

This unit offers a comprehensive introduction to data analysis, probability, sampling, and inference including t-tests, confidence intervals and chi-squared goodness of fit tests.

**MATH1905 Statistics (Advanced)**

##### Intermediate units of study

**MATH2070 Optimisation and Financial Mathematics**

The second part of the unit deals with utility theory and modern portfolio theory. Topics covered include: pricing under the principles of expected return and expected utility; mean-variance Markowitz portfolio theory, the Capital Asset Pricing Model, log-optimal portfolios and the Kelly criterion; dynamical programming. Some understanding of probability theory including distributions and expectations is required in this part.

Theory developed in lectures will be complemented by computer laboratory sessions using MATLAB. Minimal computing experience will be required.

**MATH2970 Optimisation and Financial Mathematics Adv**

**STAT2011 Statistical Models**

*This unit of study does not have Data Audit Committee approval*

**STAT2911 Probability and Statistical Models (Adv)**

*This unit of study does not have Data Audit Committee approval*

**STAT2012 Statistical Tests**

**STAT2912 Statistical Tests (Advanced)**

##### Senior core units of study

**MATH3075 Financial Mathematics**

**MATH3975 Financial Mathematics (Advanced)**

**STAT3011 Stochastic Processes and Time Series**

*This unit of study does not have Data Audit Committee approval*

**STAT3911 Stochastic Processes and Time Series Adv**

*This unit of study does not have Data Audit Committee approval*

**STAT3012 Applied Linear Models**

*This unit of study does not have Data Audit Committee approval*

**STAT3912 Applied Linear Models (Advanced)**

*This unit of study does not have Data Audit Committee approval*

##### Senior elective units of study

**STAT3013 Statistical Inference**

**STAT3913 Statistical Inference Advanced**

**STAT3014 Applied Statistics**

**STAT3914 Applied Statistics Advanced**

**MATH3076 Mathematical Computing**

*This unit of study does not have Data Audit Committee approval*

**MATH3976 Mathematical Computing (Advanced)**

*This unit of study does not have Data Audit Committee approval*

**MATH3078 PDEs and Waves**

To pass MATH3078, students must achieve satisfactory performance in the in-semester assessment component in order to pass the unit of study.

**MATH3978 PDEs and Waves (Advanced)**

**MATH3969 Measure Theory and Fourier Analysis (Adv)**

**MATH3974 Fluid Dynamics (Advanced)**

*This unit of study does not have Data Audit Committee approval*

**INFO3404 Database Systems 2**

The first part of this subject focuses on mechanisms for large-scale data management. It provides a deep understanding of the internal components of a database engine. Topics include: physical data organization and disk-based index structures, query processing and optimisation, locking and logging, and database tuning.

The second part focuses on the large-scale management of textual data such as by an information retrieval system or with web search engines. Topics include: distributed and replicated databases, information retrieval, document management, text index structures, and web-scale data processing.

The unit will be of interest to students seeking an introduction to database tuning, disk-based data structures and algorithms, and information retrieval. It will be valuable to those pursuing such careers as Software Engineers, Database Experts, Database Administrators, and e-Business Consultants.

**INFO3504 Database Systems 2 (Adv)**

The first part of this subject focuses on mechanisms for large-scale data management. It provides a deep understanding of the internal components of a database engine. Topics include: physical data organization and disk-based index structures, query processing and optimisation, locking and logging, and database tuning.

The second part focuses on the large-scale management of textual data such as by an information retrieval system or with web search engines. Topics include: distributed and replicated databases, information retrieval, document management, text index structures, and web-scale data management.

This is an advanced alternative to INFO3404; it covers material at an advanced and challenging level. In particular, students in this advanced stream will study an actual DBMS implementation on the source code level, and also gain practical experience in extending the DBMS code base.