# Mathematics

Unit of study |
Credit points |
A: Assumed knowledge P: Prerequisites C: Corequisites N: Prohibition |
Session |
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## Mathematics |
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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 |
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## Introductory level |
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MATH1111Introduction to Calculus |
6 | A HSC General Mathematics. Students who have not completed HSC Mathematics (or equivalent) are strongly advised to take the Mathematics Bridging Course (offered in February). 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 enrolmentStudents who have previously successfully studied calculus at a level at least equivalent to HSC Mathematics are prohibited. |
Semester 1 |

## Fundamental level |
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MATH1011Applications of Calculus |
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 MATH1001 or MATH1901 or MATH1906 or MATH1111 or BIOM1003 or ENVX1001 |
Semester 1 Summer Main |

MATH1013Mathematical Modelling |
3 | A HSC Mathematics or a credit or higher in MATH1111. Students who have not completed HSC Mathematics (or equivalent) are strongly advised to take the Mathematics Bridging Course (offered in February). N MATH1003 or MATH1903 or MATH1907 |
Semester 2 Summer Main |

MATH1014Introduction to 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 MATH1002 or MATH1902 |
Semester 2 |

MATH1015Biostatistics |
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 MATH1005 or MATH1905 or STAT1021 or STAT1022 or ECMT1010 or BIOM1003 or ENVX1001 or BUSS1020 |
Semester 1 |

## Regular level |
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MATH1001Differential Calculus |
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. |
Semester 1 Summer Main |

MATH1002Linear 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 |

MATH1003Integral Calculus and Modelling |
3 | A HSC Mathematics Extension 1 or MATH1001 or MATH1011 or a credit or higher in MATH1111. 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 |
Semester 2 Summer Main |

MATH1004Discrete 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 MATH2011 |
Semester 2 Summer Main |

MATH1005Statistics |
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 BUSS1020 |
Semester 2 Summer Main |

## Advanced level |
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MATH1901Differential Calculus (Advanced) |
3 | A (HSC Mathematics Extension 2) OR (90 or above in HSC Mathematics Extension 1) or equivalent N MATH1001 or MATH1011 or MATH1906 or MATH1111 or ENVX1001 Note: Department permission required for enrolment |
Semester 1 |

MATH1902Linear 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 |

MATH1903Integral Calculus and Modelling Advanced |
3 | A (HSC Mathematics Extension 2) OR (90 or above in HSC Mathematics Extension 1) OR (75 or above in MATH1001) OR (MATH1901) N MATH1003 or MATH1013 or MATH1907 Note: Department permission required for enrolment |
Semester 2 |

MATH1905Statistics (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 BUSS1020 Note: Department permission required for enrolment |
Semester 2 |

## Special studies level |
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MATH1906Mathematics (Special Studies Program) A |
3 | A Band E4 in HSC Mathematics Extension 2 or equivalent N MATH1001 or MATH1011 or MATH1901 or MATH1111 or ENVX1001 Note: Department permission required for enrolment |
Semester 1 |

MATH1907Mathematics (Special Studies Program) B |
3 | P 75 or above in MATH1906 N MATH1003 or MATH1903 or MATH1013 Enrolment is by invitation only. |
Semester 2 |

## Intermediate units of study |
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MATH2061Linear 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 MATH2001 or MATH2901 or MATH2002 or MATH2902 or MATH2961 or MATH2067 |
Semester 1 Summer Main |

MATH2961Linear Mathematics and 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 MATH2001 or MATH2901 or MATH2002 or MATH2902 or MATH2061 or MATH2067 |
Semester 1 |

MATH2065Partial 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 |
Semester 2 Summer Main |

MATH2965Partial Differential Equations Intro Adv |
6 | P MATH2961 or Credit in MATH2061 N MATH2005 or MATH2905 or MATH2065 or MATH2067 |
Semester 2 |

MATH2068Number 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 |

MATH2988Number 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 |
Semester 2 |

MATH2069Discrete Mathematics and Graph Theory |
6 | P 6 credit points of Junior Mathematics units N MATH2011 or MATH2009 or MATH2969 |
Semester 1 |

MATH2969Discrete Mathematics and Graph Theory Adv |
6 | P 9 credit points of Junior Mathematics (advanced level or Credit at the normal level) N MATH2011 or MATH2009 or MATH2069 |
Semester 1 |

MATH2070Optimisation 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 Students may enrol in both MATH2070 and MATH3075 in the same semester |
Semester 2 |

MATH2970Optimisation 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 Students may enrol in both MATH2970 and MATH3975 in the same semester |
Semester 2 |

MATH2962Real 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) N MATH2007 or MATH2907 |
Semester 1 |

MATH2968Algebra (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 |
Semester 2 |

MATH2916Working Seminar A (SSP) |
3 | P High Distinction average over 12 credit points of Junior Advanced Mathematics Note: Department permission required for enrolment |
Semester 1 |

MATH2917Working Seminar B (SSP) |
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 |
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MATH3061Geometry and Topology |
6 | P 12 credit points of Intermediate Mathematics N MATH3001 or MATH3006 |
Semester 2 |

MATH3063Nonlinear ODEs with Applications |
6 | A MATH2061 P 12 credit points of Intermediate mathematics N MATH3003 or MATH3923 or MATH3020 or MATH3920 or MATH3963 |
Semester 1 |

MATH3963Nonlinear ODEs with Applications (Adv) |
6 | A MATH2961 and MATH2962 P 12 credit points of Intermediate mathematics N MATH3003 or MATH3923 or MATH3020 or MATH3920 or MATH3063 |
Semester 1 |

MATH3066Algebra and Logic |
6 | P 6 credit points of Intermediate Mathematics N MATH3062 or MATH3065 |
Semester 1 |

MATH3068Analysis |
6 | P 12 credit points of Intermediate Mathematics N MATH3008 or MATH2007 or MATH2907 or MATH2962 |
Semester 2 |

MATH3075Financial Mathematics |
6 | P 12 credit points of Intermediate Mathematics, including (MATH2070 or MATH2970) N MATH3975 or MATH3015 or MATH3933 |
Semester 2 |

MATH3975Financial 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 |
Semester 2 |

MATH3076Mathematical 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 or MATH3016 or MATH3916 |
Semester 1 |

MATH3976Mathematical Computing (Advanced) |
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 |

MATH3078PDEs and Waves |
6 | A (MATH2061 or MATH2961) and (MATH2065 or MATH2965) P 12 credit points of Intermediate Mathematics N MATH3018 or MATH3921 or MATH3978 |
Semester 2 |

MATH3978PDEs 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 |
Semester 2 |

MATH3961Metric Spaces (Advanced) |
6 | A MATH2961 or MATH2962 P Credit average or greater in 12 credit points of Intermediate Mathematics units N MATH3001 or MATH3901 |
Semester 1 |

MATH3962Rings, Fields and Galois Theory (Adv) |
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 |

MATH3968Differential 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 |
Semester 2 |

MATH3969Measure 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 |

MATH3974Fluid Dynamics (Advanced) |
6 | A MATH2961 and MATH2965 P Credit average or greater in 12 credit points of Intermediate Mathematics N MATH3914 |
Semester 1 |

MATH3977Lagrangian 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 |