Mathematics Table

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

MATHEMATICS

Mathematics major

A major in Mathematics requires 48 credit points from this table including:
(i) 12 credit points of 1000-level units as follows:
(a) 6 credit points of calculus units; 3 credit points of linear algebra units; and 3 credit points of statistics* or discrete mathematics units or
(b) 6 credit points of calculus units; 3 credit points of linear algebra units; and 3 credit points of statistics^ for students in the Mathematical Sciences program
(ii) 12 credit points of 2000-level core units
(iii) 6 credit points of 2000-level selective units
(iv) 6 credit points of 3000-level interdisciplinary project units
(v) 12 credit points of 3000-level selective units
*BSc students may substitute DATA1001 or ENVX1002 and students not enrolled in the BSc may substitute DATA1001, ECMT1010 or BUSS1020
^If elective space allows, students may substitute DATA1001/1901 for the statistics unit

Mathematics minor

A minor in Mathematics requires 36 credit points from this table including:
(i) 12 credit points of 1000-level units as follows: 6 credit points of calculus units; 3 credit points of linear algebra units; and 3 credit points of statistics or discrete mathematics units
(ii) 12 credit points of 2000-level core units
(iii) 6 credit points of 2000-level selective units
(iv) 6 credit points of 3000-level selective units

Units of study

The units of study are listed below.

1000-level units of study

Calculus
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
Linear algebra
MATH1002
Linear 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
Semester 1
MATH1014
Introduction 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 February
Semester 2
MATH1902
Linear 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
Discrete mathematics
MATH1004
Discrete Mathematics
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 MATH1904 or MATH1064
Semester 2
MATH1904
Discrete Mathematics (Advanced)
3    A Strong skills in mathematical problem solving and theory, including coordinate geometry, integral and differential calculus, and solution of polynomial equations equivalent to HSC Mathematics Extension 2 or a Band E4 in HSC Mathematics Extension 1
N MATH1004 or MATH1064

Note: Department permission required for enrolment

Semester 2
Statistics
MATH1005
Statistical 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 February
Semester 1
Semester 2
MATH1905
Statistical 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

2000-level units of study

Core
MATH2021
Vector Calculus and Differential Equations
6    P (MATH1X21 or MATH1931 or MATH1X01 or MATH1906) and (MATH1XX2) and (MATH1X23 or MATH1933 or MATH1X03 or MATH1907)
N MATH2921 or MATH2065 or MATH2965 or (MATH2061 and MATH2022) or (MATH2061 and MATH2922) or (MATH2961 and MATH2022) or (MATH2961 and MATH2922) or MATH2067
Semester 1
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
MATH2022
Linear and Abstract Algebra
6    P MATH1XX2 or (a mark of 65 or above in MATH1014)
N MATH2922 or MATH2968 or (MATH2061 and MATH2021) or (MATH2061 and MATH2921) or (MATH2961 and MATH2021) or (MATH2961 and MATH2921)
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
Selective
MATH2023
Analysis
6    P (MATH1X21 or MATH1931 or MATH1X01 or MATH1906) and (MATH1X23 or MATH1933 or MATH1X03 or MATH1907) and (MATH1XX2 or a mark of 65 or above in MATH1014)
N MATH2923 or MATH3068 or MATH2962
Semester 2
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
MATH2088
Number Theory and Cryptography
6    P MATH1002 or MATH1902 or MATH1004 or MATH1904 or MATH1064 or (a mark of 65 or above in MATH1014)
N MATH2068 or MATH2988
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

3000-level units of study

Interdisciplinary project units
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
SCPU3001
Science Interdisciplinary Project
6    P 96 credit points
Intensive February
Intensive July
Semester 1
Semester 2
Selective
MATH3061
Geometry and Topology
6    A Theory and methods of linear transformations and vector spaces, for example MATH2061, MATH2961 or MATH2022
P 12 credit points of MATH2XXX
N MATH3001 or MATH3006
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
MATH3063
Nonlinear ODEs with Applications
6    A MATH2061 or MATH2961 or [MATH2X21 and MATH2X22]
P 12 credit points of MATH2XXX units of study
N MATH3963 or MATH4063
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
MATH3066
Algebra and Logic
6    A Introductory knowledge of group theory. For example as in MATH2X22
P 6 credit points of MATH2XXX
N MATH3062 or MATH3065
Semester 1
MATH3076
Mathematical Computing
6    P 12cp of MATH2XXX or [6cp of MATH2XXX and (6cp of STAT2XXX or DATA2X02)]
N MATH3976 or MATH4076
Semester 1
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
MATH3078
PDEs and Waves
6    A [MATH2X61 and MATH2X65] or [MATH2X21 and MATH2X22]
P 6cp from (MATH2X21 or MATH2X65 or MATH2067) and 6cp from (MATH2X22 or MATH2X61)
N MATH3978 or MATH4078
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
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
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
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
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