University of Sydney Handbooks - 2018 Archive

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Mathematics

Errata
item Errata Date
1. MATH1021 Calculus Of One Variable: Semester 2 session has been added. 1/2/2018
2. MATH3976 Mathematical Computing (Advanced) Prerequisites should read: 12 credit points of MATH2XXX and [3 credit points from (MATH1923 or MATH1903 or MATH1933 or MATH1907), or a mark of 65 or above in (MATH1023 or MATH1003)]  6/2/2018
Unit of study Credit points A: Assumed knowledge P: Prerequisites C: Corequisites N: Prohibition Session

MATHEMATICS

Advanced coursework and projects will be available in 2020 for students who complete this major.

Mathematics major

A major in Mathematics requires 48 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 interdisciplinary project units
(v) 12 credit points of 3000-level selective units

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 or interdisciplinary project units

Units of study

The units of study are listed below.

1000-level units of study

Calculus units
MATH1021
Calculus Of One Variable
3    A HSC Mathematics Extension 1. Students who have not completed HSC Extension 1 Mathematics (or equivalent) are strongly advised to take the Extension 1 Mathematics Bridging Course (offered in February).
N MATH1011 or MATH1901 or MATH1906 or MATH1111 or ENVX1001 or MATH1001 or MATH1921 or MATH1931
Semester 1
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 MATH1111 or ENVX1001 or MATH1901 or MATH1021 or MATH1931

Note: Department permission required for enrolment

Semester 1
MATH1931
Calculus Of One Variable (SSP)
3    A Band E4 in HSC Mathematics Extension 2 or equivalent.
N MATH1001 or MATH1011 or MATH1901 or MATH1111 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 HSC Mathematics Extension 1. Students who have not completed HSC Extension 1 Mathematics (or equivalent) are strongly advised to take the Extension 1 Mathematics Bridging Course (offered in February).
N MATH1013 or MATH1903 or MATH1907 or MATH1003 or MATH1923 or MATH1933
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 Band E4 in HSC Mathematics Extension 2 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 units
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
Summer Main
MATH1902
Linear Algebra (Advanced)
3    A (HSC Mathematics Extension 2) OR (90 or above in HSC Mathematics Extension 1) or equivalent
N MATH1002 or MATH1012 or MATH1014

Note: Department permission required for enrolment

Semester 1
Discrete mathematics units
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 or MATH2011
Semester 2
Summer Main
MATH1904
Discrete Mathematics (Advanced)
3    A HSC Mathematics Extension 1. Students who have not completed HSC Extension 1 Mathematics (or equivalent) are strongly advised to take the Extension 1 Mathematics Bridging Course (offered in February).
N MATH1004 or MATH1064 or MATH2011

Note: Department permission required for enrolment

Semester 2
Statistics units
MATH1005
Statistical Thinking with Data
3    A HSC Mathematics. Students who have not completed HSC Mathematics (or equivalent) are strongly advised to take the Mathematics Bridging Course (offered in February).
N MATH1015 or MATH1905 or STAT1021 or STAT1022 or ECMT1010 or ENVX1001 or ENVX1002 or BUSS1020
Semester 2
Summer Main
Winter Main
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 STAT1022 or ECMT1010 or ENVX1001 or ENVX1002 or BUSS1020

Note: Department permission required for enrolment

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 or MATH2961 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 or MATH2961 or MATH2067
Semester 1
MATH2022
Linear and Abstract Algebra
6    P MATH1XX2
N MATH2922 or MATH2968 or MATH2061 or MATH2961
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 or MATH2961
Semester 1
Selective
MATH2023
Analysis
6    P (MATH1X21 or MATH1931 or MATH1X01 or MATH1906) and (MATH1X23 or MATH1933 or MATH1X03 or MATH1907) and (MATH1XX2)
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
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
Semester 2
MATH2988
Number Theory and Cryptography Advanced
6    P [MATH19X1 or MATH1906 or (a mark of 65 or above in MATH1021 or MATH1001)] and [MATH19X3 or MATH1907 or (a mark of 65 or above in MATH1023 or MATH1003)] and [MATH1902 or (a mark of 65 or above in MATH1002)]
N MATH2068
Semester 2

3000-level units of study

Interdisciplinary project units
MATH3X20 and MATH3X10 to be developed for offering in 2019.
Selective
MATH3061
Geometry and Topology
6    P 12 credit points of Intermediate Mathematics
N MATH3001 or MATH3006
Semester 2
MATH3063
Nonlinear ODEs with Applications
6    A MATH2061 or [MATH2X21 and MATH2X22]
P 12 credit points of Intermediate mathematics
N MATH3003 or MATH3923 or MATH3020 or MATH3920 or MATH3963
Semester 1
MATH3066
Algebra and Logic
6    P 6 credit points of Intermediate Mathematics
N MATH3062 or MATH3065
Semester 1
MATH3076
Mathematical Computing
6    P 12 credit points of MATH2XXX and 6 credit points from (MATH1021 or MATH1001 or MATH1023 or MATH1003 or MATH19X1 or MATH19X3 or MATH1906 or MATH1907)
N MATH3976 or MATH3016 or MATH3916
Semester 1
MATH3078
PDEs and Waves
6    A [MATH2X61 and MATH2X65] or [MATH2X21 and MATH2X22]
P 12 credit points of Intermediate Mathematics
N MATH3018 or MATH3921 or MATH3978
Semester 2
MATH3961
Metric Spaces (Advanced)
6    A MATH2923 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)
6    A MATH2922 or 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
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
Semester 2
MATH3974
Fluid Dynamics (Advanced)
6    A [MATH2961 and MATH2965] or [MATH2921 and MATH2922]
P Credit average or greater in 12 credit points of Intermediate Mathematics
N MATH3914
Semester 1
MATH3976
Mathematical Computing (Advanced)
6    P 12 credit points of MATH2XXX and [6 credit points from (MATH1923 or MATH1903 or MATH1933 or MATH1907), or a mark of 65 or above in (MATH1023 or MATH1003)]
N MATH3076 or MATH3016 or MATH3916
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
Semester 2
MATH3978
PDEs and Waves (Advanced)
6    A [MATH2X61 and MATH2X65] or [MATH2X21 and MATH2X22]
P Credit average or greater in 12 credit points of Intermediate Mathematics
N MATH3078 or MATH3018 or MATH3921
Semester 2
MATH3X70, MATH3979, MATH3X11, MATH3X21, MATH3X22, MATH3X23, MATH3X24, MATH3X25, MATH3X26, MATH3X27, MATH3X28, MATH3X29, MATH3X12, MATH3X13, MATH3X14, MATH3X15, MATH3X16, MATH3X17, MATH3X18, MATH3X19 to be developed for offering in 2019.