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
MATH1001
Differential Calculus
3    A HSC Mathematics Extension 1
N MATH1011, MATH1901, MATH1906, MATH1111, ENVX1001
Semester 1
Summer Main
MATH1002
Linear Algebra
3    A HSC Mathematics or MATH1111
N MATH1902, MATH1014
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, MATH1903, MATH1907
Semester 2
Summer Main
MATH1004
Discrete Mathematics
3    A HSC Mathematics or MATH1111
N MATH1904
Semester 2
Summer Main
MATH1005
Statistics
3    A HSC Mathematics
N MATH1015, MATH1905, STAT1021, STAT1022, ECMT1010, ENVX1001, BUSS1020
Semester 2
Summer Main
MATH1011
Applications of Calculus
3    A HSC Mathematics
N MATH1111, MATH1001, MATH1901, MATH1906, BIOM1003, ENVX1001
Semester 1
Summer Main
MATH1013
Mathematical Modelling
3    A HSC Mathematics or a credit or higher in MATH1111
N MATH1003, MATH1903, MATH1907
Semester 2
Summer Main
MATH1014
Introduction to Linear Algebra
3    A HSC Mathematics or MATH1111
N MATH1002, MATH1902
Semester 2
MATH1015
Biostatistics
3    A HSC Mathematics
N MATH1005, MATH1905, STAT1021, STAT1022, ECMT1010, BIOM1003, ENVX1001, BUSS1020
Semester 1
MATH1111
Introduction to Calculus
6    A HSC General Mathematics
N MATH1001, MATH1901, MATH1011, MATH1906, 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
MATH1901
Differential Calculus (Advanced)
3    P HSC Mathematics Extension 2. This requirement may be varied. Students with an interest in mathematics, but without HSC mathematics Extension 2, should consult the unit of study coordinator.
N MATH1111, MATH1011, MATH1001, MATH1906, ENVX1001
Semester 1
MATH1902
Linear Algebra (Advanced)
3    P HSC Mathematics Extension 2. This requirement may be varied. Students with an interest in mathematics, but without HSC mathematics Extension 2, should consult the unit of study coordinator.
N MATH1002, 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. This requirement may be varied. Students with an interest in mathematics, but without HSC mathematics Extension 2, should consult the unit of study coordinator.
N MATH1003, MATH1013, MATH1907
Semester 2
MATH1905
Statistics (Advanced)
3    P HSC Mathematics Extension 2. This requirement may be varied. Students with an interest in mathematics, but without HSC mathematics Extension 2, should consult the unit of study coordinator.
N MATH1015, MATH1005, STAT1021, STAT1022, ECMT1010, ENVX1001, BUSS1020
Semester 2
MATH1906
Mathematics (Special Studies Program) A
3    P UAI (or ATAR equivalent) of at least 98.5 and result in Band E4 HSC Mathematics Extension 2; by invitation
N MATH1111, MATH1001, MATH1011, MATH1901, ENVX1001

Note: Department permission required for enrolment
Enrolment is by invitation only.
Semester 1
MATH1907
Mathematics (Special Studies Program) B
3    P Distinction in MATH1906; by invitation
N MATH1003, MATH1013, MATH1903

Note: Department permission required for enrolment
Enrolment is by invitation only.
Semester 2
Intermediate units of study
MATH2061
Linear Mathematics and Vector Calculus
6    P (MATH1011 or MATH1001 or MATH1901 or MATH1906) and (MATH1014 or MATH1002 or MATH1902) and (MATH1003 or MATH1903 or MATH1907)
N MATH2961, MATH2067
Semester 1
Summer Main
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 MATH2965, MATH2067
Semester 2
Summer Main
MATH2068
Number Theory and Cryptography
6    A MATH1014 or MATH1002 or MATH1902
P 6 credit points of Junior level Mathematics
N MATH2988
Semester 2
MATH2069
Discrete Mathematics and Graph Theory
6    P 6 credit points of Junior level Mathematics
N MATH2969
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 MATH2970


Students may enrol in both MATH2070 and MATH3075 in the same semester
Semester 2
MATH2916
Working Seminar A (SSP)
3    P By invitation, High Distinction average over 12 credit points of Advanced Junior Mathematics

Note: Department permission required for enrolment

Semester 1
MATH2917
Working Seminar B (SSP)
3    P By invitation, High Distinction average over 12 credit points of Advanced Junior Mathematics

Note: Department permission required for enrolment

Semester 2
MATH2961
Linear Mathematics & Vector Calculus Adv
6    P (MATH1901 or MATH1906 or Credit in MATH1001) and (MATH1902 or Credit in MATH1002) and (MATH1903 or MATH1907 or Credit in MATH1003)
N MATH2061, MATH2067
Semester 1
MATH2962
Real and Complex Analysis (Advanced)
6    P (MATH1901 or MATH1906 or Credit in MATH1001) and (MATH1902 or Credit in MATH1002) and (MATH1903 or MATH1907 or Credit in MATH1003)
Semester 1
MATH2965
Partial Differential Equations Intro Adv
6    P MATH2961 or Credit in MATH2061
N MATH2065, MATH2067
Semester 2
MATH2968
Algebra (Advanced)
6    P 9 credit points of Junior Mathematics (advanced level or Credit at normal level) including (MATH1902 or Credit in MATH1002)
Semester 2
MATH2969
Discrete Mathematics & Graph Theory Adv
6    P 9 credit points of Junior Mathematics (advanced level or Credit at the normal level)
N MATH2069
Semester 1
MATH2970
Optimisation & 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 MATH2070


Students may enrol in both MATH2970 and MATH3975 in the same semester
Semester 2
MATH2988
Number Theory and Cryptography Advanced
6    P At least 9cp from (MATH1901 or Credit in MATH1001), (MATH1902 or Credit in MATH1002), (MATH1903 or Credit in MATH1003), (MATH1904 or Credit in MATH1004), (MATH1905 or Credit in MATH1005), MATH1906, MATH1907, (MATH2961 or Credit in MATH2061), MATH2962 or (MATH2969 or Credit in MATH2069).
N MATH2068
Semester 2
Senior units of study
MATH3061
Geometry and Topology
6    P 12 credit points of Intermediate Mathematics
Semester 2
MATH3063
Differential Equations and Biomaths
6    A MATH2061
P 12 credit points of Intermediate Mathematics
N MATH3963
Semester 1
MATH3066
Algebra and Logic
6    P 6 credit points of Intermediate Mathematics
N MATH3062, MATH3065
Semester 1
MATH3068
Analysis
6    P 12 credit points of Intermediate Mathematics
N MATH2962
Semester 2
MATH3075
Financial Mathematics
6    P 12 credit points of Intermediate Mathematics
N MATH3975
Semester 2
MATH3076
Mathematical Computing
6    P 12 credit points of Intermediate Mathematics and one of (MATH1001 or MATH1003 or MATH1901 or MATH1903 or MATH1906 or MATH1907)
N MATH3976
Semester 1
MATH3078
PDEs and Waves
6    A (MATH2061 or MATH2961) and (MATH2065 or MATH2965)
P 12 credit points of Intermediate Mathematics
N MATH3978
Semester 2
MATH3961
Metric Spaces (Advanced)
6    A MATH2961 or MATH2962
P 12 credit points of Intermediate Mathematics units with average grade of at least credit
Semester 1
MATH3962
Rings, Fields and Galois Theory (Adv)
6    A MATH2961
P 12 credit points of Intermediate Mathematics with average grade of at least credit
N MATH3062


Students are advised to take MATH2968 before attempting this unit.
Semester 1
MATH3963
Differential Equations & Biomaths (Adv)
6    A MATH2961
P 12 credit points of Intermediate Mathematics with average grade of at least credit
N MATH3063
Semester 1
MATH3968
Differential Geometry (Advanced)
6    A At least 6 credit points of Advanced Mathematics units of study at Intermediate or Senior level.
P 12 credit points of Intermediate Mathematics with average grade of at least credit, including MATH2961
Semester 2
MATH3969
Measure Theory & Fourier Analysis (Adv)
6    A At least 6 credit points of Advanced Mathematics units of study at Intermediate or Senior level
P 12 credit points Intermediate Mathematics with average grade of at least credit
Semester 2
MATH3974
Fluid Dynamics (Advanced)
6    A MATH2961, MATH2965
P 12 credit points of Intermediate Mathematics with average grade of at least Credit
Semester 1
MATH3975
Financial Mathematics (Advanced)
6    P 12 credit points of Intermediate Mathematics with at least Credit average
N MATH3075
Semester 2
MATH3976
Mathematical Computing (Advanced)
6    P 12 credit points of Intermediate Mathematics and one of (MATH1903 or MATH1907) or Credit in MATH1003
N MATH3076
Semester 1
MATH3977
Lagrangian & Hamiltonian Dynamics (Adv)
6    P 12 credit points of Intermediate Mathematics with at least Credit average
Semester 2
MATH3978
PDEs and Waves (Advanced)
6    A (MATH2061 or MATH2961) and (MATH2065 or MATH2965)
P 12 credit points of Intermediate Mathematics with at least Credit average
N MATH3078
Semester 2