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 | |||
| MATH1111 Introduction 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 Students who have previously successfully studied calculus at a level at least equivalent to HSC Mathematics are prohibited. | Semester 1 | 
| Fundamental level | |||
| MATH1011 Applications 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 | 
| MATH1013 Mathematical 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 | 
| MATH1014 Introduction 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 | 
| MATH1015 Biostatistics | 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 | |||
| MATH1001 Differential 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 | 
| 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 | 
| MATH1003 Integral 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 | 
| 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 MATH2011 | Semester 2 Summer Main | 
| MATH1005 Statistics | 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 Winter Main | 
| Advanced level | |||
| MATH1901 Differential 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 | 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 MATH1012 or MATH1014 | Semester 1 | 
| MATH1903 Integral 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 | Semester 2 | 
| MATH1905 Statistics (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 | Semester 2 | 
| Special studies level | |||
| MATH1906 Mathematics (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 | Semester 1 | 
| MATH1907 Mathematics (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 | |||
| MATH2061 Linear 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 | 
| MATH2961 Linear 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 | 
| MATH2065 Partial 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 | 
| MATH2965 Partial Differential Equations Intro Adv | 6 | P MATH2961 or Credit in MATH2061 N MATH2005 or MATH2905 or MATH2065 or MATH2067 | 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 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 | 
| MATH2069 Discrete Mathematics and Graph Theory | 6 | P 6 credit points of Junior Mathematics units N MATH2011 or MATH2009 or MATH2969 | Semester 1 | 
| MATH2969 Discrete 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 | 
| MATH2070 Optimisation 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 | 
| MATH2970 Optimisation 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 | 
| MATH2962 Real 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 | 
| MATH2968 Algebra (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 | 
| MATH2916 Working Seminar A (SSP) | 3 | P High Distinction average over 12 credit points of Junior Advanced Mathematics | Semester 1 | 
| MATH2917 Working Seminar B (SSP) | 3 | P High Distinction average over 12 credit points of Junior Advanced Mathematics | Semester 2 | 
| Senior units of study | |||
| 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 P 12 credit points of Intermediate mathematics N MATH3003 or MATH3923 or MATH3020 or MATH3920 or MATH3963 | Semester 1 | 
| MATH3963 Nonlinear 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 | 
| MATH3066 Algebra and Logic | 6 | P 6 credit points of Intermediate Mathematics N MATH3062 or MATH3065 | Semester 1 | 
| MATH3068 Analysis | 6 | P 12 credit points of Intermediate Mathematics N MATH3008 or MATH2007 or MATH2907 or MATH2962 | Semester 2 | 
| MATH3075 Financial Mathematics | 6 | P 12 credit points of Intermediate Mathematics, including (MATH2070 or MATH2970) N MATH3975 or MATH3015 or MATH3933 | Semester 2 | 
| MATH3975 Financial 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 | 
| MATH3076 Mathematical 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 | 
| MATH3976 Mathematical 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 | 
| MATH3078 PDEs 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 | 
| MATH3978 PDEs 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 | 
| MATH3961 Metric 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 | 
| MATH3962 Rings, 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 | 
| MATH3968 Differential 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 | 
| 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 P Credit average or greater in 12 credit points of Intermediate Mathematics N MATH3914 | 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 |