# Financial Mathematics and Statistics

Please check the current students website (Find a unit of study) for up-to-date information on units of study including availability.

Unit of study |
Credit points |
A: Assumed knowledge P: Prerequisites C: Corequisites N: Prohibition |
Session |
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## FINANCIAL MATHEMATICS AND STATISTICS |
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## Financial Mathematics and Statistics major |
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A major in Financial Mathematics and Statistics requires 48 credit points from this table including: | |||

(i) 12 credit points of 1000-level units according to the following rules: | |||

(a) 3 credit points of calculus units; 3 credit points of multivariable calculus; 3 credit points of linear algebra units and 3 credit points of statistics units*. (Students in the Mathematical Sciences program must choose this option^); or | |||

(b) 3 credit points of calculus units; 3 credit points of linear algebra units and 6 credit points of data science units* | |||

(ii) 18 credit points of 2000-level core units | |||

(iii) 12 credit points of 3000-level core units | |||

(iv) 6 credit points of 3000-level interdisciplinary project units | |||

*Students not enrolled in the BSc may substitute ECMT1010 or BUSS1020 | |||

^If elective space allows, students may substitute DATA1001/1901 for the statistics unit | |||

## Financial Mathematics and Statistics minor |
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A minor in Financial Mathematics and Statistics requires 36 credit points from this table including: | |||

(i) 12 credit points of 1000-level units according to the following rules: | |||

(a) 3 credit points of 1000-level calculus units; 3 credit points of multivariable calculus units; 3 credit points of linear algebra units and 3 credit points of statistics units*; or | |||

(b) 6 credit points of data science units; 3 credit points of calculus units and 3 credit points of linear algebra units | |||

(ii) 18 credit points of 2000-level core units | |||

(iii) 6 credit points of 3000-level core units | |||

## Units of study |
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The units of study are listed below. | |||

## 1000-level units of study |
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## Calculus |
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MATH1021Calculus Of One Variable |
3 | A HSC Mathematics Extension 1 or equivalent N MATH1901 or MATH1906 or ENVX1001 or MATH1001 or MATH1921 or MATH1931 |
Intensive January Semester 1 Semester 2 |

MATH1921Calculus Of One Variable (Advanced) |
3 | A (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent N MATH1001 or MATH1906 or ENVX1001 or MATH1901 or MATH1021 or MATH1931 Note: Department permission required for enrolment |
Semester 1 |

MATH1931Calculus Of One Variable (SSP) |
3 | A (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent N MATH1001 or MATH1901 or ENVX1001 or MATH1906 or MATH1021 or MATH1921 Note: Department permission required for enrolmentEnrolment is by invitation only |
Semester 1 Semester 1 |

## Multivariable calculus |
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MATH1023Multivariable Calculus and Modelling |
3 | A Knowledge of complex numbers and methods of differential and integral calculus including integration by partial fractions and integration by parts as for example in MATH1021 or MATH1921 or MATH1931 or HSC Mathematics Extension 2 N MATH1013 or MATH1903 or MATH1907 or MATH1003 or MATH1923 or MATH1933 |
Intensive January Semester 1 Semester 2 |

MATH1923Multivariable Calculus and Modelling (Adv) |
3 | A (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent N MATH1003 or MATH1013 or MATH1907 or MATH1903 or MATH1023 or MATH1933 Note: Department permission required for enrolment |
Semester 2 |

MATH1933Multivariable Calculus and Modelling (SSP) |
3 | A (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent N MATH1003 or MATH1903 or MATH1013 or MATH1907 or MATH1023 or MATH1923 Note: Department permission required for enrolmentEnrolment is by invitation only. |
Semester 2 |

## Linear algebra |
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MATH1002Linear Algebra |
3 | A HSC Mathematics or MATH1111. Students who have not completed HSC Mathematics (or equivalent) are strongly advised to take the Mathematics Bridging Course (offered in February) N MATH1012 or MATH1014 or MATH1902 |
Intensive January Semester 1 |

MATH1902Linear Algebra (Advanced) |
3 | A (HSC Mathematics Extension 2) OR (90 or above in HSC Mathematics Extension 1) or equivalent N MATH1002 or MATH1014 Note: Department permission required for enrolment |
Semester 1 |

MATH1014Introduction to Linear Algebra |
3 | A Coordinate geometry, basic integral and differential calculus, polynomial equations and algebraic manipulations, equivalent to HSC Mathematics N MATH1002 or MATH1902 |
Intensive January Semester 2 |

## Statistics |
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MATH1005Statistical Thinking with Data |
3 | A HSC Mathematics Advanced or equivalent N MATH1015 or MATH1905 or STAT1021 or ECMT1010 or ENVX1001 or ENVX1002 or BUSS1020 or DATA1001 or DATA1901 |
Intensive January Semester 1 Semester 2 |

MATH1905Statistical Thinking with Data (Advanced) |
3 | A HSC Mathematics Extension 2 or 90 or above in HSC Mathematics Extension 1 or equivalent N MATH1005 or MATH1015 or STAT1021 or ECMT1010 or ENVX1001 or ENVX1002 or BUSS1020 or DATA1001 or DATA1901 |
Semester 2 |

## Data science |
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DATA1001Foundations of Data Science |
6 | N DATA1901 or MATH1005 or MATH1905 or MATH1015 or MATH1115 or ENVX1001 or ENVX1002 or ECMT1010 or BUSS1020 or STAT1021 |
Semester 1 Semester 2 |

DATA1901Foundations of Data Science (Adv) |
6 | A An ATAR of 95 or more N MATH1005 or MATH1905 or ECMT1010 or ENVX1001 or ENVX1002 or BUSS1020 or DATA1001 or MATH1115 or MATH1015 or STAT1021 |
Semester 1 Semester 2 |

## 2000-level units of study |
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## Core |
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DATA2002Data Analytics: Learning from Data |
6 | A Successful completion of a first-year or second-year unit in statistics or data science including a substantial coding component. The content from STAT2X11 will help but is not considered essential. Students who are not comfortable using the R software for statistical analysis should familiarise themselves before attempting the unit, e.g. taking OLET1632: Shark Bites and Other Data Stories P DATA1X01 or ENVX1002 or [MATH1X05 and MATH1XXX (excluding MATH1X05)] or BUSS1020 or ECMT1010 N STAT2012 or STAT2912 or DATA2902 |
Semester 2 |

DATA2902Data Analytics: Learning from Data (Adv) |
6 | A Successful completion of a first-year or second-year unit in statistics or data science including a substantial coding component. The content from STAT2X11 will help but is not considered essential. Students who are not comfortable using the R software for statistical analysis should familiarise themselves before attempting the unit, e.g. taking OLET1632: Shark Bites and Other Data Stories P A mark of 65 or above in (DATA1X01 or ENVX1002 or [MATH1X05 and MATH1XXX (excluding MATH1X05)] or BUSS1020 or ECMT1010) N STAT2012 or STAT2912 or DATA2002 |
Semester 2 |

MATH2070Optimisation and Financial Mathematics |
6 | A MATH1X23 or MATH1933 or MATH1X03 or MATH1907 P (MATH1X21 or MATH1011 or MATH1931 or MATH1X01 or MATH1906) and (MATH1014 or MATH1X02) N MATH2970 Students may enrol in both MATH2070 and MATH3075 in the same semester |
Semester 2 |

MATH2970Optimisation and Financial Mathematics Adv |
6 | A MATH19X3 or MATH1907 or a mark of 65 or above in MATH1003 or MATH1023 P [MATH19X1 or MATH1906 or (a mark of 65 or above in MATH1021 or MATH1001)] and [MATH1902 or (a mark of 65 or above in MATH1002)] N MATH2070 Students may enrol in both MATH2970 and MATH3975 in the same semester |
Semester 2 |

STAT2011Probability and Estimation Theory |
6 | P (MATH1X21 or MATH1931 or MATH1X01 or MATH1906 or MATH1011) and (DATA1X01 or MATH10X5 or MATH1905 or STAT1021 or ECMT1010 or BUSS1020) N STAT2911 |
Semester 1 |

STAT2911Probability and Statistical Models (Adv) |
6 | P (MATH1X21 or MATH1931 or MATH1X01 or MATH1906 or MATH1011) and a mark of 65 or greater in (DATA1X01 or MATH10X5 or MATH1905 or STAT1021 or ECMT1010 or BUSS1020) N STAT2011 |
Semester 1 |

## 3000-level units of study |
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## Core |
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MATH3075Financial Derivatives |
6 | P 12 credit points chosen from MATH2XXX or STAT2XXX or DATA2X02 N MATH3975 or MATH3015 or MATH3933 It is possible to enrol in MATH2070 and MATH3075 in the same semester |
Semester 2 |

MATH3975Financial Derivatives (Advanced) |
6 | P A mark of 65 or above in 12cp from (MATH2XXX or STAT2XXX or DATA2X02) N MATH3933 or MATH3015 or MATH3075 MATH2X70 and MATH3975 may be taken in the same semester |
Semester 2 |

STAT3021Stochastic Processes |
6 | A Students are expected to have a thorough knowledge of basic probability and integral calculus P STAT2X11 N STAT3911 or STAT3011 or STAT3921 or STAT4021 |
Semester 1 |

STAT3921Stochastic Processes (Advanced) |
6 | A Students are expected to have a thorough knowledge of basic probability and integral calculus and to have achieved at credit level or above P STAT2X11 N STAT3011 or STAT3911 or STAT3021 or STAT3003 or STAT3903 or STAT3005 or STAT3905 or STAT4021 |
Semester 1 |

## Interdisciplinary project |
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FMAT3888Projects in Financial Mathematics |
6 | A STAT2X11, MATH2X70 P (MATH2070 or MATH2970) and (STAT2011 or STAT2911) |
Semester 2 |

SCPU3001Science Interdisciplinary Project |
6 | P 96 credit points |
Intensive February Intensive July Semester 1 Semester 2 |