# Mathematical Sciences

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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## MATHEMATICAL SCIENCES |
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## Mathematical Sciences program |
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The Mathematical Sciences program is available only to students eligible to enroll in the Dalyell stream. | |||

A program in Mathematical Sciences requires 66 credit points including: | |||

(i) A 48 credit point major in either, Data Science, Financial Mathematics and Statistics, Mathematics or Statistics, and: | |||

(ii) 6 credit points of 1000-level program core units according to the following rules: | |||

(a) For students with a major in Financial Mathematics and Statistics, Mathematics or Statistics, 6 credit points of 1000-level program core (non-Data Science major) units in addition to those counted towards the major. | |||

(b) For students with a major in Data Science, 6 credit points of 1000-level program core (Data Science major) units in addition to those counted towards the major. | |||

(iii) 12 credit points of 2000-level and 3000-level selective units according to the following rules: | |||

(a) For students with a major in Mathematics, 6 credit points of 2000-level program selective (Mathematics major) units and 6 credit points of 3000-level selective units, in addition to those counted towards the major. | |||

(b) For students with a major in Statistics, 6 credit points of 2000- level program selective set one (Statistics major) units, and 6 credit points of 2000-level program selective set two (Statistics major) in addition to those counted towards the major. | |||

(c) For students with a major in Financial Mathematics and Statistics, 6 credit points of 2000-level program selective (Financial Mathematics and Statistics major) units, and 6 credit points of 3000-level selective units, in addition to those counted towards the major. | |||

(d) For students with a major in Data Science, 6 credit points of 2000-level program selective (Data Science major) units in addition to those counted towards the major, and 6 credit points of 3000-level selective units, in addition to those counted towards the major. | |||

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

## 1000-level units of study |
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## Program Core (Non-Data Science major) |
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DATA1002Informatics: Data and Computation |
6 | N INFO1903 OR DATA1902 |
Semester 2 |

DATA1902Informatics: Data and Computation (Advanced) |
6 | A This unit is intended for students with ATAR at least sufficient for entry to the BSc/BAdvStudies(Advanced) stream, or for those who gained Distinction results or better, in some unit in Data Science, Mathematics, or Computer Science. Students with portfolio of high-quality relevant prior work can also be admitted N INFO1903 OR DATA1002 Note: Department permission required for enrolment |
Semester 2 |

## Program Core (Data Science major) |
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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 |

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 |

## 2000-level units of study |
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## Program selective (Mathematics major) |
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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 |

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 |

## Program selective set one (Statistics major) |
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MATH2921Vector Calculus and Differential Eqs (Adv) |
6 | P [(MATH1921 or MATH1931 or MATH1901 or MATH1906) or (a mark of 65 or above in MATH1021 or MATH1001)] and [MATH1902 or (a mark of 65 or above in MATH1002)] and [(MATH1923 or MATH1933 or MATH1903 or MATH1907) or (a mark of 65 or above in MATH1023 or MATH1003)] N MATH2021 or MATH2065 or MATH2965 or (MATH2061 and MATH2022) or (MATH2061 and MATH2922) or (MATH2961 and MATH2022) or (MATH2961 and MATH2922) or MATH2067 |
Semester 1 |

MATH2922Linear and Abstract Algebra (Advanced) |
6 | P MATH1902 or (a mark of 65 or above in MATH1002) N MATH2022 or MATH2968 or (MATH2061 and MATH2021) or (MATH2061 and MATH2921) or (MATH2961 and MATH2021) or (MATH2961 and MATH2921) |
Semester 1 |

## Program selective set two (Statistics major) |
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MATH2921Vector Calculus and Differential Eqs (Adv) |
6 | P [(MATH1921 or MATH1931 or MATH1901 or MATH1906) or (a mark of 65 or above in MATH1021 or MATH1001)] and [MATH1902 or (a mark of 65 or above in MATH1002)] and [(MATH1923 or MATH1933 or MATH1903 or MATH1907) or (a mark of 65 or above in MATH1023 or MATH1003)] N MATH2021 or MATH2065 or MATH2965 or (MATH2061 and MATH2022) or (MATH2061 and MATH2922) or (MATH2961 and MATH2022) or (MATH2961 and MATH2922) or MATH2067 |
Semester 1 |

MATH2922Linear and Abstract Algebra (Advanced) |
6 | P MATH1902 or (a mark of 65 or above in MATH1002) N MATH2022 or MATH2968 or (MATH2061 and MATH2021) or (MATH2061 and MATH2921) or (MATH2961 and MATH2021) or (MATH2961 and MATH2921) |
Semester 1 |

MATH2923Analysis (Advanced) |
6 | P [(MATH1921 or MATH1931 or MATH1901 or MATH1906) or (a mark of 65 or above in MATH1021 or MATH1001)] and [MATH1902 or (a mark of 65 or above in MATH1002)] and [(MATH1923 or MATH1933 or MATH1903 or MATH1907) or (a mark of 65 or above in MATH1023 or MATH1003)] N MATH2023 or MATH2962 or MATH3068 |
Semester 2 |

MATH2988Number Theory and Cryptography Adv |
6 | P MATH1902 or MATH1904 or (a mark of 65 or above in MATH1002 or MATH1004 or MATH1064) N MATH2068 or MATH2088 |
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 |

## Program selective (Financial Mathematics and Statistics major) |
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MATH2921Vector Calculus and Differential Eqs (Adv) |
6 | P [(MATH1921 or MATH1931 or MATH1901 or MATH1906) or (a mark of 65 or above in MATH1021 or MATH1001)] and [MATH1902 or (a mark of 65 or above in MATH1002)] and [(MATH1923 or MATH1933 or MATH1903 or MATH1907) or (a mark of 65 or above in MATH1023 or MATH1003)] N MATH2021 or MATH2065 or MATH2965 or (MATH2061 and MATH2022) or (MATH2061 and MATH2922) or (MATH2961 and MATH2022) or (MATH2961 and MATH2922) or MATH2067 |
Semester 1 |

MATH2922Linear and Abstract Algebra (Advanced) |
6 | P MATH1902 or (a mark of 65 or above in MATH1002) N MATH2022 or MATH2968 or (MATH2061 and MATH2021) or (MATH2061 and MATH2921) or (MATH2961 and MATH2021) or (MATH2961 and MATH2921) |
Semester 1 |

## Program selective (Data Science major) |
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MATH2921Vector Calculus and Differential Eqs (Adv) |
6 | P [(MATH1921 or MATH1931 or MATH1901 or MATH1906) or (a mark of 65 or above in MATH1021 or MATH1001)] and [MATH1902 or (a mark of 65 or above in MATH1002)] and [(MATH1923 or MATH1933 or MATH1903 or MATH1907) or (a mark of 65 or above in MATH1023 or MATH1003)] N MATH2021 or MATH2065 or MATH2965 or (MATH2061 and MATH2022) or (MATH2061 and MATH2922) or (MATH2961 and MATH2022) or (MATH2961 and MATH2922) or MATH2067 |
Semester 1 |

MATH2922Linear and Abstract Algebra (Advanced) |
6 | P MATH1902 or (a mark of 65 or above in MATH1002) N MATH2022 or MATH2968 or (MATH2061 and MATH2021) or (MATH2061 and MATH2921) or (MATH2961 and MATH2021) or (MATH2961 and MATH2921) |
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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## Selective |
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DATA3888Data Science Capstone |
6 | P DATA2001 or DATA2901 or DATA2002 or DATA2902 or STAT2912 or STAT2012 |
Semester 1 |

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

MATH3888Projects in Mathematics |
6 | P (MATH2921 or MATH2021 or MATH2065 or MATH2965 or MATH2061 or MATH2961 or MATH2923 or MATH2023) and (MATH2922 or MATH2022 or MATH2061 or MATH2961 or MATH2088 or MATH2988) |
Semester 2 |

MATH3961Metric Spaces (Advanced) |
6 | A Real analysis and vector spaces. For example (MATH2922 or MATH2961) and (MATH2923 or MATH2962) P A mark of 65 or greater in 12 credit points of 2000-level Mathematics units N MATH4061 |
Semester 1 |

MATH3962Rings, Fields and Galois Theory (Adv) |
6 | P MATH2961 or MATH2922 or a mark of 65 or greater in (MATH2061 or MATH2022) N MATH3062 or MATH4062 |
Semester 1 |

MATH3963Nonlinear ODEs with Applications (Adv) |
6 | A Linear ODEs (for example, MATH2921), eigenvalues and eigenvectors of a matrix, determinant and inverse of a matrix and linear coordinate transformations (for example, MATH2922), Cauchy sequence, completeness and uniform convergence (for example, MATH2923) P A mark of 65 or greater in 12 credit points of MATH2XXX units of study N MATH3063 or MATH4063 |
Semester 1 |

MATH3968Differential Geometry (Advanced) |
6 | A (MATH2921 and MATH2922) or MATH2961 P A mark of 65 or greater in 12 credit points of MATH2XXX units of study N MATH4068 |
Semester 2 |

MATH3969Measure Theory and Fourier Analysis (Adv) |
6 | A Real analysis and vector spaces. For example MATH2X21 and MATH2X23 P A mark of 65 or greater in 12 credit points of MATH2XXX units of study N MATH4069 |
Semester 2 |

MATH3971Convex Analysis and Optimal Control (Adv) This unit of study is not available in 2022 |
6 | A MATH2X21 and MATH2X23 and STAT2X11 P A mark of 65 or above in 12cp from (MATH2XXX or STAT2XXX or DATA2X02) N MATH4071 |
Semester 1 |

MATH3974Fluid Dynamics (Advanced) |
6 | A [MATH2961 and MATH2965] or [MATH2921 and MATH2922] P An average mark of 65 or more in (12 credit points of MATH2XXX) N MATH4074 |
Semester 1 |

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 |

MATH3976Mathematical Computing (Advanced) |
6 | A Strong skills in linear algebra and the theory and methods of ordinary and partial differential equations for example (MATH2961 and MATH2965) or (MATH2921 and MATH2922) P A mark of 65 or above in [(12cp of MATH2XXX) or (6cp of MATH2XXX and 6cp of STAT2XXX or DATA2X02)] N MATH3076 or MATH4076 |
Semester 1 |

MATH3977Lagrangian and Hamiltonian Dynamics (Adv) |
6 | P A mark of 65 or greater in 12 credit points of MATH2XXX units of study N MATH4077 |
Semester 2 |

MATH3978PDEs and Waves (Advanced) |
6 | A [MATH2X61 and MATH2X65] or [MATH2X21 and MATH2X22] P A mark of 65 or greater in 6cp from (MATH2X21 or MATH2X65 or MATH2067) and a mark of 65 or greater 6cp from (MATH2X22 or MATH2X61) N MATH3078 or MATH4078 |
Semester 2 |

MATH3979Complex Analysis (Advanced) |
6 | A Good knowledge of analysis of functions of one real variable, working knowledge of complex numbers, including their topology, for example MATH2X23 or MATH2962 or MATH3068 P A mark of 65 or above in 12cp of MATH2XXX N MATH4079 or MATH3964 |
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 |

STAT3922Applied Linear Models (Advanced) |
6 | P STAT2X11 and [a mark of 65 or greater in (STAT2X12 or DATA2X02)] N STAT3912 or STAT3012 or STAT3022 or STAT4022 |
Semester 1 |

STAT3923Statistical Inference (Advanced) |
6 | P STAT2X11 and a mark of 65 or greater in (DATA2X02 or STAT2X12) N STAT3913 or STAT3013 or STAT3023 |
Semester 2 |

STAT3888Statistical Machine Learning |
6 | A STAT3012 or STAT3912 or STAT3022 or STAT3922 P STAT2X11 and (DATA2X02 or STAT2X12) N STAT3914 or STAT3014 |
Semester 2 |

STAT3925Time Series (Advanced) |
6 | P STAT2X11 and (MATH1X03 or MATH1907 or MATH1X23 or MATH1933) N STAT4025 |
Semester 1 |

STAT3926Statistical Consulting (Advanced) |
6 | P At least 12cp from STAT2X11 or STAT2X12 or DATA2X02 or STAT3XXX N STAT4026 |
Semester 1 |