Mathematics

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

Mathematics

For a major in Mathematics, the minimum requirement is 24 credit points from senior units of study listed in this subject area.
Please refer to the Science Faculty website for details of the major, http://sydney.edu.au/science/
Junior units of study
Introductory level
MATH1111
Introduction to Calculus - Departmental permission is required for this unit

This unit of study is not Data Audit Committee Approved

6    A HSC General Mathematics
N MATH1011 or MATH1901 or MATH1906 or MATH1001 or HSC Mathematics Extension 1 or HSC Mathematics Extension 2 or ENVX1001

Note: Department permission required for enrolment
Students who have previously successfully studied calculus at a level at least equivalent to HSC Mathematics are prohibited.
Semester 1
Fundamental level
MATH1011
Applications of Calculus

This unit of study is not Data Audit Committee Approved

3    A HSC Mathematics
N MATH1001 or MATH1901 or MATH1906 or MATH1111 or BIOM1003 or ENVX1001
Semester 1
Summer Main
MATH1013
Mathematical Modelling
3    A HSC Mathematics, or a Credit or higher in MATH1111
N MATH1003 or MATH1903 or MATH1907, MATH1003 or MATH1903 or MATH1907, MATH1003 or MATH1903 or MATH1907
Semester 2
Semester 2
Summer Main
Summer Main
MATH1014
Introduction to Linear Algebra
3    A HSC Mathematics or MATH1111
N MATH1012 or MATH1002 or MATH1902, MATH1012 or MATH1002 or MATH1902, MATH1012 or MATH1002 or MATH1902
Semester 2
Semester 2
MATH1015
Biostatistics

This unit of study is not Data Audit Committee Approved

3    A HSC Mathematics
N MATH1005 or MATH1905 or STAT1021 or STAT1022 or ECMT1010 or BIOM1003 or ENVX1001 or BUSS1020
Semester 1
Regular level
MATH1001
Differential Calculus

This unit of study is not Data Audit Committee Approved

3    A HSC Mathematics Extension 1
N MATH1011 or MATH1901 or MATH1906 or MATH1111 or ENVX1001.
Semester 1
Summer Main
MATH1002
Linear Algebra

This unit of study is not Data Audit Committee Approved

3    A HSC Mathematics or MATH1111
N MATH1012 or MATH1014 or MATH1902
Semester 1
Summer Main
MATH1003
Integral Calculus and Modelling
3    A HSC Mathematics Extension 1, or MATH1001, or MATH1011, or a Credit or higher in MATH1111
N MATH1013 or MATH1903 or MATH1907, MATH1013 or MATH1903 or MATH1907, MATH1013 or MATH1903 or MATH1907
Semester 2
Semester 2
Summer Main
Summer Main
MATH1004
Discrete Mathematics
3    A HSC Mathematics or MATH1111
N MATH1904 or MATH2011, MATH1904 or MATH2011, MATH1904 or MATH2011
Semester 2
Semester 2
Summer Main
Summer Main
MATH1005
Statistics
3    A HSC Mathematics
N MATH1015 or MATH1905 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020, MATH1015 or MATH1905 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020, MATH1015 or MATH1905 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020
Semester 2
Semester 2
Summer Main
Summer Main
Winter Main
Winter Main
Advanced level
MATH1901
Differential Calculus (Advanced)

This unit of study is not Data Audit Committee Approved

3    P HSC Mathematics Extension 2
N MATH1001 or MATH1011 or MATH1906 or MATH1111 or ENVX1001
Semester 1
MATH1902
Linear Algebra (Advanced)

This unit of study is not Data Audit Committee Approved

3    P HSC Mathematics Extension 2
N MATH1002 or MATH1012 or MATH1014
Semester 1
MATH1903
Integral Calculus and Modelling Advanced
3    A HSC Mathematics Extension 2, or Credit or better in (MATH1001 or MATH1901)
P HSC Mathematics Extension 2
N MATH1003 or MATH1013 or MATH1907, MATH1003 or MATH1013 or MATH1907, MATH1003 or MATH1013 or MATH1907
Semester 2
Semester 2
MATH1905
Statistics (Advanced)
3    P HSC Mathematics Extension 2
N MATH1005 or MATH1015 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020, MATH1005 or MATH1015 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020, MATH1005 or MATH1015 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or BUSS1020
Semester 2
Semester 2
Special studies level
MATH1906
Mathematics (Special Studies Program) A - Departmental permission is required for this unit

This unit of study is not Data Audit Committee Approved

3    N MATH1001 or MATH1011 or MATH1901 or MATH1111 or ENVX1001

Note: Department permission required for enrolment
Enrolment is by invitation only. Prerequisites: UAI (or ATAR equivalent) of at least 98.5 and result in Band E4 HSC Mathematics Extension 2
Semester 1
MATH1907
Mathematics (Special Studies Program) B
3    P Distinction or greater in MATH1906
N MATH1003 or MATH1903 or MATH1013, MATH1003 or MATH1903 or MATH1013, MATH1003 or MATH1903 or MATH1013

Note: Department permission required for enrolment in the following sessions:Semester 2
Enrolment is by invitation only.
Semester 2
Semester 2
Intermediate units of study
MATH2061
Linear Mathematics and Vector Calculus

This unit of study is not Data Audit Committee Approved

6    P (MATH1011 or MATH1001 or MATH1901 or MATH1906) and (MATH1014 or MATH1002 or MATH1902) and (MATH1003 or MATH1903 or MATH1907)
N MATH2001 or MATH2901 or MATH2002 or MATH2902 or MATH2961 or MATH2067
Semester 1
Summer Main
MATH2961
Linear Mathematics and Vector Calculus Adv

This unit of study is not Data Audit Committee Approved

6    P (MATH1901 or MATH1906 or Credit in MATH1001) and (MATH1902 or Credit in MATH1002) and (MATH1903 or MATH1907 or Credit in MATH1003)
N MATH2001 or MATH2901 or MATH2002 or MATH2902 or MATH2061 or MATH2067
Semester 1
MATH2065
Partial Differential Equations (Intro)
6    P (MATH1011 or MATH1001 or MATH1901 or MATH1906) and (MATH1014 or MATH1002 or MATH1902) and (MATH1003 or MATH1903 or MATH1907)
N MATH2005 or MATH2905 or MATH2965 or MATH2067, MATH2005 or MATH2905 or MATH2965 or MATH2067, MATH2005 or MATH2905 or MATH2965 or MATH2067
Semester 2
Semester 2
Summer Main
MATH2965
Partial Differential Equations Intro Adv
6    P MATH2961 or Credit in MATH2061
N MATH2005 or MATH2905 or MATH2065 or MATH2067, MATH2005 or MATH2905 or MATH2065 or MATH2067, MATH2005 or MATH2905 or MATH2065 or MATH2067
Semester 2
Semester 2
MATH2068
Number Theory and Cryptography
6    A MATH1014 or MATH1002 or MATH1902
P 6 credit points of Junior Mathematics units
N MATH2988 or MATH3009 or MATH3024, MATH2988 or MATH3009 or MATH3024, MATH2988 or MATH3009 or MATH3024
Semester 2
Semester 2
MATH2988
Number Theory and Cryptography Advanced
6    P A minimum of 9 credit points from ((Junior Advanced Mathematics, MATH2961, MATH2962, MATH2969, or Credit or greater in normal level Junior Mathematics, MATH2061, MATH2069)
N MATH2068, MATH2068, MATH2068
Semester 2
Semester 2
MATH2069
Discrete Mathematics and Graph Theory

This unit of study is not Data Audit Committee Approved

6    P 6 credit points of Junior Mathematics units
N MATH2011 or MATH2009 or MATH2969
Semester 1
MATH2969
Discrete Mathematics and Graph Theory Adv

This unit of study is not Data Audit Committee Approved

6    P 9 credit points of Junior Mathematics (advanced level or Credit at the normal level)
N MATH2011 or MATH2009 or MATH2069
Semester 1
MATH2070
Optimisation and Financial Mathematics
6    A MATH1003 or MATH1903 or MATH1907
P (MATH1011 or MATH1001 or MATH1901 or MATH1906) and (MATH1014 or MATH1002 or MATH1902)
N MATH2010 or MATH2033 or MATH2933 or MATH2970 or ECMT3510, MATH2010 or MATH2033 or MATH2933 or MATH2970 or ECMT3510, MATH2010 or MATH2033 or MATH2933 or MATH2970 or ECMT3510


Students may enrol in both MATH2070 and MATH3075 in the same semester
Semester 2
Semester 2
MATH2970
Optimisation and Financial Mathematics Adv
6    A MATH1903 or MATH1907 or Credit in MATH1003
P (MATH1901 or MATH1906 or Credit in MATH1001) and (MATH1902 or Credit in MATH1002)
N MATH2010 or MATH2033 or MATH2933 or MATH2070 or ECMT3510, MATH2010 or MATH2033 or MATH2933 or MATH2070 or ECMT3510, MATH2010 or MATH2033 or MATH2933 or MATH2070 or ECMT3510


Students may enrol in both MATH2970 and MATH3975 in the same semester
Semester 2
Semester 2
MATH2962
Real and Complex Analysis (Advanced)

This unit of study is not Data Audit Committee Approved

6    P (MATH1901 or MATH1906 or Credit in MATH1001) and (MATH1902 or Credit in MATH1002) and (MATH1903 or MATH1907 or Credit in MATH1003)
N MATH2007 or MATH2907
Semester 1
MATH2968
Algebra (Advanced)
6    P 9 credit points of Junior Mathematics (advanced level or Credit at normal level) including (MATH1902 or Credit in MATH1002)
N MATH2908 or MATH2918 or MATH2008, MATH2908 or MATH2918 or MATH2008, MATH2908 or MATH2918 or MATH2008
Semester 2
Semester 2
MATH2916
Working Seminar A (SSP) - Departmental permission is required for this unit

This unit of study is not Data Audit Committee Approved

3    P High Distinction average over 12 credit points of Junior Advanced Mathematics

Note: Department permission required for enrolment

Semester 1
MATH2917
Working Seminar B (SSP) - Departmental permission is required for this unit

This unit of study is not Data Audit Committee Approved

3    P High Distinction average over 12 credit points of Junior Advanced Mathematics

Note: Department permission required for enrolment

Semester 2
Senior units of study
MATH3061
Geometry and Topology
6    P 12 credit points of Intermediate Mathematics
N MATH3001 or MATH3006, MATH3001 or MATH3006, MATH3001 or MATH3006
Semester 2
Semester 2
MATH3063
Differential Equations and Biomaths

This unit of study is not Data Audit Committee Approved

6    A MATH2061
P 12 credit points of Intermediate Mathematics
N MATH3020 or MATH3920 or MATH3003 or MATH3923 or MATH3963
Semester 1
MATH3963
Differential Equations and Biomaths (Adv)

This unit of study is not Data Audit Committee Approved

6    A MATH2961 and MATH2962
P Credit average or greater in 12 credit points of Intermediate Mathematics
N MATH3020 or MATH3920 or MATH3003 or MATH3923 or MATH3063
Semester 1
MATH3066
Algebra and Logic

This unit of study is not Data Audit Committee Approved

6    P 6 credit points of Intermediate Mathematics
N MATH3062 or MATH3065
Semester 1
MATH3068
Analysis
6    P 12 credit points of Intermediate Mathematics
N MATH3008 or MATH2007 or MATH2907 or MATH2962, MATH3008 or MATH2007 or MATH2907 or MATH2962, MATH3008 or MATH2007 or MATH2907 or MATH2962
Semester 2
Semester 2
MATH3075
Financial Mathematics
6    P 12 credit points of Intermediate Mathematics, including (MATH2070 or MATH2970)
N MATH3975 or MATH3015 or MATH3933, MATH3975 or MATH3015 or MATH3933, MATH3975 or MATH3015 or MATH3933
Semester 2
Semester 2
MATH3975
Financial Mathematics (Advanced)
6    P Credit average or greater in 12 credit points of Intermediate Mathematics (including MATH2070 or MATH2970)
N MATH3933 or MATH3015 or MATH3075, MATH3933 or MATH3015 or MATH3075, MATH3933 or MATH3015 or MATH3075
Semester 2
Semester 2
MATH3076
Mathematical Computing

This unit of study is not Data Audit Committee Approved

6    P 12 credit points of Intermediate Mathematics and one of (MATH1001 or MATH1003 or MATH1901 or MATH1903 or MATH1906 or MATH1907)
N MATH3976 or MATH3016 or MATH3916
Semester 1
MATH3976
Mathematical Computing (Advanced)

This unit of study is not Data Audit Committee Approved

6    P 12 credit points of Intermediate Mathematics and one of (MATH1903 or MATH1907), or Credit in MATH1003
N MATH3076 or MATH3016 or MATH3916
Semester 1
MATH3078
PDEs and Waves
6    A (MATH2061 or MATH2961) and (MATH2065 or MATH2965)
P 12 credit points of Intermediate Mathematics
N MATH3018 or MATH3921 or MATH3978, MATH3018 or MATH3921 or MATH3978, MATH3018 or MATH3921 or MATH3978
Semester 2
Semester 2
MATH3978
PDEs and Waves (Advanced)
6    A (MATH2061 or MATH2961) and (MATH2065 or MATH2965)
P Credit average or greater in 12 credit points of Intermediate Mathematics
N MATH3078 or MATH3018 or MATH3921, MATH3078 or MATH3018 or MATH3921, MATH3078 or MATH3018 or MATH3921
Semester 2
Semester 2
MATH3961
Metric Spaces (Advanced)

This unit of study is not Data Audit Committee Approved

6    A MATH2961 or MATH2962
P Credit average or greater in 12 credit points of Intermediate Mathematics units
N MATH3001 or MATH3901
Semester 1
MATH3962
Rings, Fields and Galois Theory (Adv)

This unit of study is not Data Audit Committee Approved

6    A MATH2961
P Credit average or greater in 12 credit points of Intermediate Mathematics
N MATH3062 or MATH3902 or MATH3002


Students are advised to take MATH2968 before attempting this unit.
Semester 1
MATH3968
Differential Geometry (Advanced)
6    A At least 6 credit points of Intermediate Advanced Mathematics or Senior Advanced Mathematics units
P Credit average or greater in 12 credit points of Intermediate Mathematics, including MATH2961
N MATH3903, MATH3903, MATH3903
Semester 2
Semester 2
MATH3969
Measure Theory and Fourier Analysis (Adv)
6    A At least 6 credit points of (Intermediate Advanced Mathematics or Senior Advanced Mathematics units)
P Credit average or greater in 12 credit points Intermediate Mathematics
N MATH3909, MATH3909, MATH3909
Semester 2
Semester 2
MATH3974
Fluid Dynamics (Advanced)

This unit of study is not Data Audit Committee Approved

6    A MATH2961 and MATH2965
P Credit average or greater in 12 credit points of Intermediate Mathematics
N MATH3914
Semester 1
MATH3977
Lagrangian and Hamiltonian Dynamics (Adv)
6    P Credit average or greater in 12 credit points of Intermediate Mathematics
N MATH2904 or MATH2004 or MATH3917, MATH2904 or MATH2004 or MATH3917, MATH2904 or MATH2004 or MATH3917
Semester 2
Semester 2