Mathematical Sciences

Unit outlines will be available through Find a unit outline two weeks before the first day of teaching for 1000-level and 5000-level units, or one week before the first day of teaching for all other units.
 

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

MATHEMATICAL SCIENCES

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, 12 credit points of 2000-level program selective (Financial Mathematics and Statistics major) 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

The units of study are listed below.

1000-level units of study

Program Core (Non-Data Science major)
DATA1002
Informatics: Data and Computation
6    N INFO1903 OR DATA1902
Semester 2
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

Note: Department permission required for enrolment

Semester 2
Program Core (Data Science major)
MATH1021
Calculus Of One Variable
3    A HSC Mathematics Extension 1 or equivalent.
N MATH1011 or MATH1901 or MATH1906 or ENVX1001 or MATH1001 or MATH1921 or MATH1931
Intensive February
Semester 1
Semester 2
MATH1921
Calculus Of One Variable (Advanced)
3    A (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent.
N MATH1001 or MATH1011 or MATH1906 or ENVX1001 or MATH1901 or MATH1021 or MATH1931

Note: Department permission required for enrolment

Semester 1
MATH1931
Calculus Of One Variable (SSP)
3    A (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent.
N MATH1001 or MATH1011 or MATH1901 or ENVX1001 or MATH1906 or MATH1021 or MATH1921

Note: Department permission required for enrolment
Enrolment is by invitation only
Semester 1
MATH1023
Multivariable 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 February
Semester 1
Semester 2
MATH1923
Multivariable 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
MATH1933
Multivariable 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 enrolment
Enrolment is by invitation only.
Semester 2

2000-level units of study

Program selective (Mathematics major)
DATA2902
Data Analytics: Learning from Data (Adv)
6    A Basic linear algebra and some coding for example MATH1014 or MATH1002 or MATH1902 and DATA1001 or DATA1901
P 6 cp of DATA1901 or STAT2911 or (MATH1905 and MATH1XXX) or a mark of 65 or above in (DATA1001 or ENVX1001 or ENVX1002 or BUSS1020 or ECMT1010 or STAT1021 or STAT2011) or an average mark of 65 or above in (MATH10X5 and MATH1115)
N STAT2012 or STAT2912 or DATA2002
Semester 2
STAT2911
Probability 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)
MATH2921
Vector 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
MATH2922
Linear 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)
MATH2921
Vector 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
MATH2922
Linear 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
MATH2923
Analysis (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
MATH2988
Number 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
MATH2970
Optimisation 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 MATH2010 or MATH2033 or MATH2933 or MATH2070 or ECMT3510


Students may enrol in both MATH2970 and MATH3975 in the same semester
Semester 2
Program selective (Financial Mathematics and Statistics major)
DATA2902
Data Analytics: Learning from Data (Adv)
6    A Basic linear algebra and some coding for example MATH1014 or MATH1002 or MATH1902 and DATA1001 or DATA1901
P 6 cp of DATA1901 or STAT2911 or (MATH1905 and MATH1XXX) or a mark of 65 or above in (DATA1001 or ENVX1001 or ENVX1002 or BUSS1020 or ECMT1010 or STAT1021 or STAT2011) or an average mark of 65 or above in (MATH10X5 and MATH1115)
N STAT2012 or STAT2912 or DATA2002
Semester 2
MATH2921
Vector 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
MATH2922
Linear 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)
MATH2921
Vector 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
MATH2922
Linear 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
STAT2911
Probability 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

Selective
DATA3888
Data Science Capstone
6    P DATA2001 or DATA2901 or DATA2002 or DATA2902 or STAT2912 or STAT2012
Semester 1
FMAT3888
Projects in Financial Mathematics
6    A STAT2X11, MATH2X70
P (MATH2070 or MATH2970) and (STAT2011 or STAT2911)
Semester 2
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)
Semester 2
MATH3961
Metric 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
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
Semester 1
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
Semester 1
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
Semester 2
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
Semester 2
MATH3971
Convex Analysis and Optimal Control (Adv)

This unit of study is not available in 2021

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
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
Semester 1
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
Semester 2
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
Semester 1
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
Semester 2
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
Semester 2
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
Semester 1
STAT3021
Stochastic Processes
6    P STAT2X11 and (MATH1003 or MATH1903 or MATH1907 or MATH1023 or MATH1923 or MATH1933)
N STAT3911 or STAT3011 or STAT3921 or STAT4021
Semester 1
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
Semester 1
STAT3923
Statistical Inference (Advanced)
6    P STAT2X11 and a mark of 65 or greater in (DATA2X02 or STAT2X12)
N STAT3913 or STAT3013 or STAT3023
Semester 2
STAT3888
Statistical Machine Learning
6    A STAT3012 or STAT3912 or STAT3022 or STAT3922
P STAT2X11 and (DATA2X02 or STAT2X12)
N STAT3914 or STAT3014
Semester 2
STAT3925
Time Series (Advanced)
6    P STAT2X11 and (MATH1X03 or MATH1907 or MATH1X23 or MATH1933)
N STAT4025
Semester 1
STAT3926
Statistical Consulting (Advanced)
6    P At least 12cp from STAT2X11 or STAT2X12 or DATA2X02 or STAT3XXX
N STAT4026
Semester 1