# 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 |
|||

## Introductory level |
|||

MATH1111Introduction to Calculus |
6 | A HSC General Mathematics N MATH1906, MATH1001, ENVX1001, MATH1011, HSC: Mathematics Extension 1, MATH1901, HSC: Mathematics Extension 2 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 |
|||

MATH1011Applications of Calculus |
3 | A HSC Mathematics N MATH1001, ENVX1001, MATH1901, MATH1906, MATH1111, BIOM1003 |
Semester 1 Summer Main |

MATH1013Mathematical Modelling |
3 | A HSC Mathematics or a credit or higher in MATH1111 N MATH1003, MATH1903, MATH1907 |
Semester 2 Summer Main |

MATH1014Introduction to Linear Algebra |
3 | A HSC Mathematics or MATH1111 N MATH1012, MATH1002, MATH1902 |
Semester 2 |

MATH1015Biostatistics |
3 | A HSC Mathematics N MATH1005, MATH1905, BIOM1003, ENVX1001, BUSS1020, STAT1021, STAT1022, ECMT1010 |
Semester 1 |

## Regular level |
|||

MATH1001Differential Calculus |
3 | A HSC Mathematics Extension 1 N MATH1111, MATH1901, MATH1906, MATH1011, ENVX1001 |
Semester 1 Summer Main |

MATH1002Linear Algebra |
3 | A HSC Mathematics or MATH1111 N MATH1902, MATH1012, MATH1014 |
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 N MATH1013, MATH1903, MATH1907 |
Semester 2 Summer Main |

MATH1004Discrete Mathematics |
3 | A HSC Mathematics or MATH1111 N MATH2011, MATH1904 |
Semester 2 Summer Main |

MATH1005Statistics |
3 | A HSC Mathematics N STAT1022, ECMT1010, MATH1015, ENVX1001, MATH1905, BUSS1020, STAT1021 |
Semester 2 Summer Main Winter Main |

## Advanced level |
|||

MATH1901Differential 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, MATH1001, MATH1011, MATH1906, ENVX1001 |
Semester 1 |

MATH1902Linear 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 MATH1014, MATH1012, MATH1002 |
Semester 1 |

MATH1903Integral 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 |

MATH1905Statistics (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 STAT1022, ECMT1010, ENVX1001, MATH1005, BUSS1020, STAT1021, MATH1015 |
Semester 2 |

## Special studies level |
|||

MATH1906Mathematics (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 MATH1011, MATH1111, MATH1001, MATH1901, ENVX1001 Note: Department permission required for enrolmentEnrolment is by invitation only. |
Semester 1 |

MATH1907Mathematics (Special Studies Program) B |
3 | P Distinction in MATH1906; by invitation N MATH1003, MATH1903, MATH1013 Note: Department permission required for enrolmentEnrolment is by invitation only. |
Semester 2 |

## Intermediate units of study |
|||

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 MATH2961, MATH2067, MATH2901, MATH2902, MATH2001, MATH2002 |
Semester 1 Summer Main |

MATH2961Linear 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 MATH2901, MATH2002, MATH2001, MATH2902, MATH2067, MATH2061 |
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 MATH2965, MATH2005, MATH2905, MATH2067 |
Semester 2 Summer Main |

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

MATH2068Number Theory and Cryptography |
6 | A MATH1014 or MATH1002 or MATH1902 P 6 credit points of Junior level Mathematics N MATH3009, MATH3024, MATH2988 |
Semester 2 |

MATH2988Number 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 |

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

MATH2969Discrete Mathematics & Graph Theory Adv |
6 | P 9 credit points of Junior Mathematics (advanced level or Credit at the normal level) N MATH2069, MATH2009, MATH2011 |
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 MATH2933, MATH2970, MATH2033, ECMT3510, MATH2010 Students may enrol in both MATH2070 and MATH3075 in the same semester |
Semester 2 |

MATH2970Optimisation & 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 MATH2033, MATH2933, MATH2070, ECMT3510, MATH2010 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 MATH2907, MATH2007 |
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 MATH2918, MATH2008, MATH2908 |
Semester 2 |

MATH2916Working 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 |

MATH2917Working 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 |

## Senior units of study |
|||

MATH3061Geometry and Topology |
6 | P 12 credit points of Intermediate Mathematics N MATH3006, MATH3001 |
Semester 2 |

MATH3063Differential Equations and Biomaths |
6 | A MATH2061 P 12 credit points of Intermediate Mathematics N MATH3020, MATH3963, MATH3003, MATH3920, MATH3923 |
Semester 1 |

MATH3963Differential Equations & Biomaths (Adv) |
6 | A MATH2961 and MATH2962 P 12 credit points of Intermediate Mathematics with average grade of at least credit N MATH3920, MATH3923, MATH3003, MATH3063, MATH3020 |
Semester 1 |

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

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

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

MATH3975Financial Mathematics (Advanced) |
6 | P 12 credit points of Intermediate Mathematics (including MATH2070 or MATH2970) with at least Credit average. N MATH3933, MATH3075, MATH3015 |
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 MATH3016, MATH3976, 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 MATH3016, MATH3916, MATH3076 |
Semester 1 |

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

MATH3978PDEs 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, MATH3921, MATH3018 |
Semester 2 |

MATH3961Metric Spaces (Advanced) |
6 | A MATH2961 or MATH2962 P 12 credit points of Intermediate Mathematics units with average grade of at least credit N MATH3901, MATH3001 |
Semester 1 |

MATH3962Rings, Fields and Galois Theory (Adv) |
6 | A MATH2961 P 12 credit points of Intermediate Mathematics with average grade of at least credit N MATH3902, MATH3062, MATH3002 Students are advised to take MATH2968 before attempting this unit. |
Semester 1 |

MATH3968Differential 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 N MATH3903 |
Semester 2 |

MATH3969Measure 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 N MATH3909 |
Semester 2 |

MATH3974Fluid Dynamics (Advanced) |
6 | A MATH2961, MATH2965 P 12 credit points of Intermediate Mathematics with average grade of at least Credit N MATH3914 |
Semester 1 |

MATH3977Lagrangian & Hamiltonian Dynamics (Adv) |
6 | P 12 credit points of Intermediate Mathematics with at least Credit average N MATH2004, MATH3917, MATH2904 |
Semester 2 |