University of Sydney Handbooks - 2021 Archive

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Financial Mathematics and Statistics

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

FINANCIAL MATHEMATICS AND STATISTICS

Financial Mathematics and Statistics major

A major in Financial Mathematics and Statistics requires 48 credit points from this table including:
(i) 12 credit points of 1000-level units according to the following rules:
(a) 3 credit points of calculus units; 3 credit points of multivariable calculus; 3 credit points of linear algebra units and 3 credit points of statistics units*. (Students in the Mathematical Sciences program must choose this option^); or
(b) 3 credit points of calculus units; 3 credit points of linear algebra units and 6 credit points of data science units*
(ii) 18 credit points of 2000-level core units
(iii) 12 credit points of 3000-level core units
(iv) 6 credit points of 3000-level interdisciplinary project units
*Students not enrolled in the BSc may substitute ECMT1010 or BUSS1020
^If elective space allows, students may substitute DATA1001/1901 for the statistics unit

Financial Mathematics and Statistics minor

A minor in Financial Mathematics and Statistics requires 36 credit points from this table including:
(i) 12 credit points of 1000-level units according to the following rules:
(a) 3 credit points of 1000-level calculus units; 3 credit points of multivariable calculus units; 3 credit points of linear algebra units and 3 credit points of statistics units*; or
(b) 6 credit points of data science units; 3 credit points of calculus units and 3 credit points of linear algebra units
(ii) 18 credit points of 2000-level core units
(iii) 6 credit points of 3000-level core 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
Multivariable calculus
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
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
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
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
Data science
DATA1001
Foundations of Data Science
6    N DATA1901 or MATH1005 or MATH1905 or MATH1015 or MATH1115 or ENVX1001 or ENVX1002 or ECMT1010 or BUSS1020 or STAT1021
Semester 1
Semester 2
DATA1901
Foundations of Data Science (Adv)
6    A An ATAR of 95 or more
N MATH1005 or MATH1905 or ECMT1010 or ENVX1001 or ENVX1002 or BUSS1020 or DATA1001 or MATH1115 or MATH1015 or STAT1021
Semester 1
Semester 2

2000-level units of study

Core
DATA2002
Data Analytics: Learning from Data
6    A Basic linear algebra and some coding for example MATH1014 or MATH1002 or MATH1902 and DATA1001 or DATA1901
P 6 cp of DATA1X01 or ENVX1001 or ENVX1002 or STAT2X11 or BUSS1020 or ECMT1010 or STAT1021 or [MATH1115 and MATH10X5] or [MATH1905 and MATH1XXX]
N STAT2012 or STAT2912 or DATA2902
Semester 2
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 6 cp of DATA1901 or STAT2911 or (MATH1905 and MATH1XXX) or a mark of 65 or above in (DATA1001 or ENVX1001 or ENVX1002 or BUSS1020 or ECMT1010 or STAT1021 or STAT2011) or an average mark of 65 or above in (MATH10X5 and MATH1115)
N STAT2012 or STAT2912 or DATA2002
Semester 2
MATH2070
Optimisation and Financial Mathematics
6    A MATH1X23 or MATH1933 or MATH1X03 or MATH1907
P (MATH1X21 or MATH1011 or MATH1931 or MATH1X01 or MATH1906) and (MATH1014 or MATH1X02)
N MATH2010 or MATH2033 or MATH2933 or MATH2970 or ECMT3510


Students may enrol in both MATH2070 and MATH3075 in the same semester
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
STAT2011
Probability and Estimation Theory
6    P (MATH1X21 or MATH1931 or MATH1X01 or MATH1906 or MATH1011) and (DATA1X01 or MATH10X5 or MATH1905 or STAT1021 or ECMT1010 or BUSS1020)
N STAT2911
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

Core
MATH3075
Financial Derivatives
6    P 12 credit points chosen from MATH2XXX or STAT2XXX or DATA2X02
N MATH3975 or MATH3015 or MATH3933


It is possible to enrol in MATH2070 and MATH3075 in the same semester
Semester 2
MATH3975
Financial Derivatives (Advanced)
6    P A mark of 65 or above in 12cp from (MATH2XXX or STAT2XXX or DATA2X02)
N MATH3933 or MATH3015 or MATH3075


MATH2X70 and MATH3975 may be taken in the same semester
Semester 2
STAT3021
Stochastic Processes
6    P STAT2X11 and (MATH1003 or MATH1903 or MATH1907 or MATH1023 or MATH1923 or MATH1933)
N STAT3911 or STAT3011 or STAT3921 or STAT4021
Semester 1
STAT3921
Stochastic Processes (Advanced)
6    P (STAT2011 or STAT2911) and MATH1003 or MATH1903 or MATH1907 or MATH1023 or MATH1923 or MATH1933
N STAT3011 or STAT3911 or STAT3021 or STAT3003 or STAT3903 or STAT3005 or STAT3905 or STAT4021
Semester 1
Interdisciplinary project
FMAT3888
Projects in Financial Mathematics
6    A STAT2X11, MATH2X70
P (MATH2070 or MATH2970) and (STAT2011 or STAT2911)
Semester 2
SCPU3001
Science Interdisciplinary Project
6    P 96 credit points
Intensive February
Intensive July
Semester 1
Semester 2