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Mathematical Sciences

Unit of study table (Table A)

This page was first published on 15 November 2023 and was last amended on 9 February 2024.
View details of the changes below.

Mathematical Sciences program

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.
Unit of study Credit points A: Assumed knowledge P: Prerequisites
C: Corequisites N: Prohibition

1000-level units of study

Program Core (Non-Data Science major)
DATA1002
Informatics: Data and Computation
6 N INFO1903 OR DATA1902
DATA1902
Informatics: 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
Program Core (Data Science major)
MATH1061
Mathematics 1A
6 A NSW HSC Extension 1 Mathematics or equivalent
N MATH1901 or MATH1902 or MATH1921 or MATH1906 or MATH1931 or MATH1001 or MATH1021 or MATH1961 or MATH1971 or MATH1002 or MATH1014
MATH1961
Mathematics 1A (Advanced)
6 A (HSC Mathematics Extension 2) or (Band E4 in HSC Mathematics Extensions 1) or equivalent
N MATH1901 or MATH1902 or MATH1921 or MATH1906 or MATH1931 or MATH1001 or MATH1021 or MATH1061 or MATH1971 or MATH1002 or MATH1014
MATH1971
Mathematics 1A (SSP)
6 A (at least Band E4 in HSC Mathematics Extension 2) or equivalent
N MATH1901 or MATH1902 or MATH1921 or MATH1906 or MATH1931 or MATH1001 or MATH1021 or MATH1061 or MATH1961 or MATH1002 or MATH1014

2000-level units of study

Program selective (Mathematics major)
DATA2902
Data 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 BUSS1020 or ECMT1010 or [(MATH1062 or MATH1962 or MATH1972) and (STAT2011 or STAT2911)] or [MATH1X05 and (MATH1001 or MATH1002 or MATH1003 or MATH1004 or MATH1021 or MATH1023 or MATH1115 or MATH19XX)])
N STAT2012 or STAT2912 or DATA2002
STAT2911
Probability and Statistical Models (Adv)
6 P (MATH1X61 or MATH1971 or 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 or MATH1X62 or MATH1972)
N STAT2011
Program selective set one (Statistics major)
MATH2921
Vector Calculus and Differential Eqs (Adv)
6 P ([(MATH1961 or MATH1971 or (a mark of 65 or above in MATH1061)) and (MATH1962 or MATH1972 or (a mark of 65 or above in MATH1062))]) or ([(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
MATH2922
Linear and Abstract Algebra (Advanced)
6 P MATH1961 or MATH1971 or MATH1902 or (a mark of 65 or above in MATH1002 or MATH1061)
N MATH2022 or MATH2968 or (MATH2061 and MATH2021) or (MATH2061 and MATH2921) or (MATH2961 and MATH2021) or (MATH2961 and MATH2921)
Program selective set two (Statistics major)
MATH2921
Vector Calculus and Differential Eqs (Adv)
6 P ([(MATH1961 or MATH1971 or (a mark of 65 or above in MATH1061)) and (MATH1962 or MATH1972 or (a mark of 65 or above in MATH1062))]) or ([(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
MATH2922
Linear and Abstract Algebra (Advanced)
6 P MATH1961 or MATH1971 or MATH1902 or (a mark of 65 or above in MATH1002 or MATH1061)
N MATH2022 or MATH2968 or (MATH2061 and MATH2021) or (MATH2061 and MATH2921) or (MATH2961 and MATH2021) or (MATH2961 and MATH2921)
MATH2923
Analysis (Advanced)
6 P [(MATH1961 or MATH1971 or (a mark of 65 or above in MATH1061)) and (MATH1962 or MATH1972 or (a mark of 65 or above in MATH1062))] or ([(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
MATH2988
Number Theory and Cryptography Adv
6 P MATH1961 or MATH1971 or MATH1964 or MATH1902 or MATH1904 or (a mark of 65 or above in MATH1061 or MATH1064 or MATH1002 or MATH1004)
N MATH2068 or MATH2088
MATH2970
Optimisation and Financial Mathematics Adv
6 A MATH19X3 or MATH1907 or a mark of 65 or above in MATH1003 or MATH1023
P [MATH1961 or MATH1971 or (a mark of 65 or above in MATH1061)] or [(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
Program selective (Financial Mathematics and Statistics major)
MATH2921
Vector Calculus and Differential Eqs (Adv)
6 P ([(MATH1961 or MATH1971 or (a mark of 65 or above in MATH1061)) and (MATH1962 or MATH1972 or (a mark of 65 or above in MATH1062))]) or ([(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
MATH2922
Linear and Abstract Algebra (Advanced)
6 P MATH1961 or MATH1971 or MATH1902 or (a mark of 65 or above in MATH1002 or MATH1061)
N MATH2022 or MATH2968 or (MATH2061 and MATH2021) or (MATH2061 and MATH2921) or (MATH2961 and MATH2021) or (MATH2961 and MATH2921)
Program selective (Data Science major)
MATH2921
Vector Calculus and Differential Eqs (Adv)
6
P ([(MATH1961 or MATH1971 or (a mark of 65 or above in MATH1061)) and (MATH1962 or MATH1972 or (a mark of 65 or above in MATH1062))]) or ([(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
MATH2922
Linear and Abstract Algebra (Advanced)
6 P MATH1961 or MATH1971 or MATH1902 or (a mark of 65 or above in MATH1002 or MATH1061)
N MATH2022 or MATH2968 or (MATH2061 and MATH2021) or (MATH2061 and MATH2921) or (MATH2961 and MATH2021) or (MATH2961 and MATH2921)
STAT2911
Probability and Statistical Models (Adv)
6 P (MATH1X61 or MATH1971 or 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 or MATH1X62 or MATH1972)
N STAT2011

3000-level units of study

Selective
DATA3888
Data Science Capstone
6 P DATA2001 or DATA2901 or DATA2002 or DATA2902 or STAT2912 or STAT2012
FMAT3888
Projects in Financial Mathematics
6 A STAT2X11, MATH2X70
P (MATH2070 or MATH2970) and (STAT2011 or STAT2911)
MATH3888
Projects 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)
MATH3961
Metric Spaces (Advanced)
6 A Real analysis and vector spaces. For example (MATH2922 or MATH2961) and (MATH2923 or MATH2962)
P An average mark of 65 or above in 12cp from the following units (MATH2X21 or MATH2X22 or MATH2X23)
N MATH4061
MATH3962
Rings, 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
MATH3963
Nonlinear 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
MATH3968
Differential 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
MATH3969
Measure 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
MATH3971
Convex Analysis and Optimal Control (Adv)

6 A MATH2X21 and MATH2X23 and STAT2X11
P A mark of 65 or above in 12cp from (MATH2XXX or STAT2XXX or DATA2X02)
N MATH4071
MATH3974
Fluid 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
MATH3975
Financial 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
MATH3976
Mathematical 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
MATH3977
Lagrangian and Hamiltonian Dynamics (Adv)
6 P A mark of 65 or greater in 12 credit points of MATH2XXX units of study
N MATH4077
MATH3978
PDEs 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
MATH3979
Complex 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
STAT3921
Stochastic 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
STAT3922
Applied 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
STAT3923
Statistical Inference (Advanced)
6 P STAT2X11 and a mark of 65 or greater in (DATA2X02 or STAT2X12)
N STAT3913 or STAT3013 or STAT3023
STAT3888
Statistical Machine Learning
6 A STAT3012 or STAT3912 or STAT3022 or STAT3922
P STAT2X11 and (DATA2X02 or STAT2X12)
N STAT3914 or STAT3014
STAT3925
Time Series (Advanced)
6 P STAT2X11 and (MATH1062 or MATH1962 or MATH1972 or MATH1X03 or MATH1907 or MATH1X23 or MATH1933)
N STAT4025
STAT3926
Statistical Consulting (Advanced)
6 P At least 12cp from STAT2X11 or STAT2X12 or DATA2X02 or STAT3XXX
N STAT4026

Post-publication amendments

Date
Original publication
Post-publication amendment
9/02/2024 Prerequisites (P) for DATA2902 published as:
P A mark of 65 or above in (DATA1X01 or ENVX1002 or BUSS1020 or ECMT1010 or [MATH1X05 and (MATH1001 or MATH1002 or MATH1003 or MATH1004 or MATH1021 or MATH1023 or MATH1115 or MATH19XX)])
Prerequisites (P) for DATA2902 amended to:
P A mark of 65 or above in (DATA1X01 or ENVX1002 or BUSS1020 or ECMT1010 or [(MATH1062 or MATH1962 or MATH1972) and (STAT2011 or STAT2911)] or [MATH1X05 and (MATH1001 or MATH1002 or MATH1003 or MATH1004 or MATH1021 or MATH1023 or MATH1115 or MATH19XX)])
9/02/2024 Prerequisites (P) for STAT2911 published as:
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)
Prerequisites (P) for STAT2911 amended to:
P (MATH1X61 or MATH1971 or 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 or MATH1X62 or MATH1972)
9/02/2024 Prerequisites (P) for MATH2921 published as:
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)]
Prerequisites (P) for MATH2921 amended to:
P ([(MATH1961 or MATH1971 or (a mark of 65 or above in MATH1061)) and (MATH1962 or MATH1972 or (a mark of 65 or above in MATH1062))]) or ([(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)])
9/02/2024 Prerequisites (P) for MATH2922 published as:
P MATH1902 or (a mark of 65 or above in MATH1002)
Prerequisites (P) for MATH2922 amended to:
P MATH1961 or MATH1971 or MATH1902 or (a mark of 65 or above in MATH1002 or MATH1061)
9/02/2024 Prerequisites (P) for MATH2923 published as:
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)]
Prerequisites (P) for MATH2923 amended to:
P [(MATH1961 or MATH1971 or (a mark of 65 or above in MATH1061)) and (MATH1962 or MATH1972 or (a mark of 65 or above in MATH1062))] or ([(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)])
9/02/2024 Prerequisites (P) for MATH2988 published as:
P MATH1902 or MATH1904 or (a mark of 65 or above in MATH1002 or MATH1004 or MATH1064)
Prerequisites (P) for MATH2988 amended to:
P MATH1961 or MATH1971 or MATH1964 or MATH1902 or MATH1904 or (a mark of 65 or above in MATH1061 or MATH1064 or MATH1002 or MATH1004)
9/02/2024 Prerequisites (P) for MATH2970 published as:
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)]
Prerequisites (P) for MATH2970 amended to:
P [MATH1961 or MATH1971 or (a mark of 65 or above in MATH1061)] or [(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))]
9/02/2024 Prerequisites (P) for STAT3925 published as:
P STAT2X11 and (MATH1X03 or MATH1907 or MATH1X23 or MATH1933)
Prerequisites (P) for STAT3925 amended to:
P STAT2X11 and (MATH1062 or MATH1962 or MATH1972 or MATH1X03 or MATH1907 or MATH1X23 or MATH1933)