University of Sydney Handbooks - 2019 Archive

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Mathematical Sciences

Errata
Item Errata Date
1.

The prerequisites have been removed for the following units:

MATH1021 Calculus Of One Variable
MATH1023 Multivariable Calculus and Modelling

 12/12/2018
2.

The prerequisites have been removed and the assumed kowledge has changed for the following units:

MATH1921 Calculus Of One Variable (Advanced): Prerequisites have been removed. Assumed knowledge now reads: (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent.

MATH1931 Calculus Of One Variable (SSP): Prerequisites have been removed. Assumed knowledge  now reads: (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent.

MATH1923 Multivariable Calculus and Modelling (Adv): Prerequisites have been removed. Assumed knowledge now reads: (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent

MATH1933 Multivariable Calculus and Modelling (SSP):Prerequisites have been removed. Assumed knowledge now reads: (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent.

 12/12/2018
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- or 4000-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- or 4000-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.
P NSW HSC 2 unit Mathematics or equivalent or a credit or above in MATH1111
N MATH1011 or MATH1901 or MATH1906 or ENVX1001 or MATH1001 or MATH1921 or MATH1931
Semester 1
Semester 2
Summer Main
MATH1921
Calculus Of One Variable (Advanced) 		3    A HSC Mathematics Extension 2 or equivalent.
P NSW HSC 2 unit Mathematics or equivalent or a credit or above in MATH1111
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 Band 4 in HSC Mathematics Extension 2 or equivalent.
P NSW HSC 2 unit Mathematics or equivalent or a credit or above in MATH1111
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 MATH1X21, HSC Mathematics Extension 1 or equivalent.
P NSW HSC 2 unit Mathematics or equivalent or a credit or above in MATH1111
N MATH1013 or MATH1903 or MATH1907 or MATH1003 or MATH1923 or MATH1933
Semester 1
Semester 2
Summer Main
MATH1923
Multivariable Calculus and Modelling (Adv) 		3    A MATH1X21, HSC Mathematics Extension 2 or equivalent.
P NSW HSC 2 unit Mathematics or equivalent or a credit or above in MATH1111
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 MATH1X21, Band 4 in HSC Mathematics Extension 2 or equivalent.
P NSW HSC 2 unit Mathematics or equivalent or a credit or above in MATH1111
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 A mark of 65 or above in any of the following (DATA1001 or DATA1901 or ENVX1001 or ENVX1002) or (MATH10X5 and MATH1115) or (MATH10X5 and STAT2011) or (MATH1905 and MATH1XXX [except MATH1XX5]) or (QBUS1020 or ECMT1020 or STAT1021)
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 [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 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 A mark of 65 or above in any of the following (DATA1001 or DATA1901 or ENVX1001 or ENVX1002) or (MATH10X5 and MATH1115) or (MATH10X5 and STAT2011) or (MATH1905 and MATH1XXX [except MATH1XX5]) or (QBUS1020 or ECMT1020 or STAT1021)
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 2
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
MATH3975
Financial Derivatives (Advanced) 		6    P Credit average or greater in 12 credit points of Intermediate Mathematics (including MATH2070 or MATH2970)
N MATH3933 or MATH3015 or MATH3075
Semester 2
STAT3021
Stochastic Processes 		6    P STAT2X11 and (MATH1003 or MATH1903 or MATH1907 or MATH1023 or MATH1923 or MATH1933)
N STAT3911 or STAT3011
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

4000- level units of study
Selective
MATH4061
Metric Spaces 		6    A MATH2023 or MATH2923 or MATH2962 or MATH3068
P A mark of 65 or greater in 12cp from the following units (MATH3061 orMATH3066 or MATH3063 or MATH3076 or MATH3078 or MATH3962 or MATH3963 or MATH3968 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3978 or MATH3979)
N MATH3961
Semester 1
MATH4062
Rings, Fields and Galois Theory 		6    A MATH2922 or MATH2961
P (MATH2922 or MATH2961) or a mark of 65 or greater in (MATH2022 or MATH2061) or 12cp from (MATH3061 or MATH3066 or MATH3063 or MATH3076 or MATH3078 or MATH3962 or MATH3963 or MATH3968 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3978 or MATH3979)
N MATH3062 or MATH3962
Semester 1
MATH4063
Dynamical Systems and Applications 		6    A MATH2061 or MATH2961 or (MATH2X21 and MATH2X22)
P (A mark of 65 or greater in 12cp of MATH2XXX units of study) or [12cp from (MATH3061 or MATH3066 or MATH3076 or MATH3078 or MATH3961 or MATH3962 or MATH3968 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3978 or MATH3979)]
Semester 1
MATH4068
Differential Geometry 		6    A (MATH2921 and MATH2922) or MATH2961
P (A mark of 65 or greater in 12cp of MATH2XXX units of study) or [12cp from (MATH3061 or MATH3066 or MATH3063 or MATH3076 or MATH3078 or MATH3961 or MATH3962 or MATH3963 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3978 or MATH3979)]
N MATH3968
Semester 2
MATH4069
Measure Theory and Fourier Analysis 		6    A (MATH2921 and MATH2922) or MATH2961
P (A mark of 65 or greater in 12cp of MATH2XXX units of study) or [12cp from the following units (MATH3061 or MATH3066 or MATH3063 or MATH3076 or MATH3078 or MATH3961 or MATH3962 or MATH3963 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3978 or MATH3979)]
N MATH3969
Semester 2
MATH4071
Convex Analysis and Optimal Control 		6    A MATH2X21 and MATH2X23 and STAT2X11
P [A mark of 65 or greater in 12cp from (MATH2070 or MATH2970 or STAT2011 or STAT2911 or MATH2021 or MATH2921 or MATH2022 or MATH2922 or MATH2023 or MATH2923 or MATH2061 or MATH2961 or MATH2065 or MATH2965 or MATH2962 or STAT2012 or STAT2912 or DATA2002 or DATA2902) or [12 cp from (MATH3075 or MATH3975 or STAT3021 or STAT3011 or STAT3911 or STAT3888 or STAT3014 or STAT3914 or MATH3063 or MATH3963 or MATH3061 or MATH3961 or MATH3962 or MATH3963 or MATH3968 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3978 or MATH3979)]
N MATH3971
Semester 1
MATH4074
Fluid Dynamics 		6    A (MATH2961 and MATH2965) or (MATH2921 and MATH2922)
P (A mark of 65 or greater in 12cp of MATH2XXX units of study) or [12cp from (MATH3061 orMATH3066 or MATH3063 or MATH3076 or MATH3078 or or MATH3961 or MATH3962 or MATH3963 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3978 or MATH3979)]
N MATH3974
Semester 1
MATH4076
Computational Mathematics 		6    A (MATH2X21 and MATH2X22) or (MATH2X61 and MATH2X65)
P (A mark of 65 or greater in 12cp of MATH2XXX units of study) or [12cp from (MATH3061 or MATH3066 or MATH3063 or MATH3078 or or MATH3961 or MATH3962 or MATH3963 or MATH3969 or MATH3971 or MATH3974 or MATH3977 or MATH3978 or MATH3979)]
Semester 1
MATH4077
Lagrangian and Hamiltonian Dynamics 		6    A 6cp of 1000 level calculus units and 3cp of 1000 level linear algebra and (MATH2X21 or MATH2X61)
P (A mark of 65 or greater in 12cp of MATH2XXX units of study) or [12cp from (MATH3061 orMATH3066 or MATH3063 or MATH3076 or MATH3078 or MATH3961 or MATH3962 or MATH3963 or MATH3968 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3978 or MATH3979)]
N MATH3977
Semester 2
MATH4078
PDEs and Applications 		6    A (MATH2X61 and MATH2X65) or (MATH2X21 and MATH2X22)
P (A mark of 65 or greater in 12cp of 2000 level units) or [12cp from (MATH3061 or MATH3066 or MATH3063 or MATH3076 or MATH3961 or MATH3962 or MATH3963 or MATH3968 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3979)]
N MATH3078 or MATH3978
Semester 2
MATH4079
Complex Analysis 		6    A MATH2X23
P (A mark of 65 or greater in 12cp of MATH2XXX units of study) or [12cp from the following units (MATH3061 or MATH3066 or MATH3063 or MATH3076 or MATH3078 or MATH3961 or MATH3962 or MATH3963 or MATH3968 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3978)]
N MATH3979 or MATH3964
Semester 1
STAT4025
Time Series 		6    P STAT2X11 and (MATH1X03 or MATH1907 or MATH1X23 or MATH1933)
N STAT3925
Semester 1
STAT4026
Statistical Consulting 		6    P At least 12cp from STAT2X11, STAT2X12, DATA2X02 and STAT3XXX
N STAT3926
Semester 1
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