You can check the full rules for 3970  Science in the UNSW Handbook.
The majors listed here are also the majors in combined degrees with Science. Note that normally other Science courses must be taken as well as Mathematics to meet combined degree rules.
The available majors in Mathematics and Statistics are:
 Mathematics
 Statistics
 Physical Oceanography
 Double Major in Mathematics and Statistics
 Double Major in Physics and Mathematics
Note: where two courses are listed, the second is the Higher version.

Stage 1
MATH1131 or MATH1141 Mathematics 1A
MATH1231 or MATH1241 Mathematics 1B
MATH1081 Discrete Mathematics (Highly Recommended)Stage 2
MATH2011 or MATH2111 Several Variable Calculus
MATH2121 or MATH2221 Theory and Application of Differential Equations
MATH2501 or MATH2601 Linear Algebra
MATH2521 or MATH2621 Complex Analysis
MATH2801 or MATH2901 Theory of StatisticsStage 3
12 UOC nonstats Level III Mathematics (MATH30xx to MATH37xx or MATH6871)
6 UOC any further level III MATH coursesTotal: 60 units of credit

Stage 1
MATH1131 or MATH1141 Mathematics 1A
MATH1231 or MATH1241 Mathematics 1B
MATH1081 Discrete Mathematics (Highly Recommended)Stage 2
MATH2011 or MATH2111 Several Variable Calculus
MATH2501 or MATH2601 Linear Algebra
MATH2801 or MATH2901 Theory of Statistics
MATH2831 or MATH2931 Linear ModelsStage 3
MATH3801 or MATH3901 Probability and Stochastic Processes
MATH3811 or MATH3911 Statistical Inference
MATH3821 Statistical Modelling and Computing
plus one of the following:
MATH3831 Statistical Methods in Social & Market Research
MATH3841 Statistical Analysis of Dependent Data
MATH3851 Experimental Design and Categorical Data
MATH3871 Bayesian Inference and ComputationTotal: 60 units of credit

Stage 1
MATH1131 or MATH1141 Mathematics 1A
MATH1231 or MATH1241 Mathematics 1B
MATH1081 Discrete Mathematics (Highly Recommended)
PHYS1121 or PHYS1131 Physics 1A
PHYS1221 or PHYS1231 Physics 1BStage 2
MATH2011 or MATH2111 Several Variable Calculus
MATH2121 or MATH2221 Theory and Application of Differential Equations
MATH2241 Introduction to Atmosphere and Ocean Dynamics
MATH2301 Mathematical Computing
PHYS2801 Atmospheric PhysicsStage 3
MATH3041 Mathematical Modelling for Real World Systems
MATH3121 Mathematical Methods and Partial Differential Equations
MATH3261 Fluids, Oceans and ClimateTotal: 72 units of credit

Stage 1
MATH1131 or MATH1141 Mathematics 1A
MATH1231 or MATH1241 Mathematics 1B
MATH1081 Discrete Mathematics (Highly Recommended)Stage 2
MATH2011 or MATH2111 Several Variable Calculus
MATH2121 or MATH2221 Theory and Application of Differential Equations
MATH2501 or MATH2601 Linear Algebra
MATH2521 or MATH2621 Complex Analysis
MATH2801 or MATH2901 Theory of Statistics
MATH2831 or MATH2931 Linear ModelsStage 3
MATH3801 or MATH3901 Probability and Stochastic Processes
MATH3811 or MATH3911 Statistical Inference
MATH3821 Statistical Modelling and Computing
plus one of the following:
MATH3831 Statistical Methods in Social & Market Research
MATH3841 Statistical Analysis of Dependent Data
MATH3851 Experimental Design and Categorical Data
MATH3871 Bayesian Inference and Computation
plus
12 UOC of non statistics Level III MATH courses.Total: Stage 1
MATH1131 or MATH1141 Mathematics 1A
MATH1231 or MATH1241 Mathematics 1B
MATH1081 Discrete Mathematics (Highly Recommended)Stage 2
MATH2011 or MATH2111 Several Variable Calculus
MATH2121 or MATH2221 Theory and Application of Differential Equations
MATH2501 or MATH2601 Linear Algebra
MATH2521 or MATH2621 Complex Analysis
MATH2801 or MATH2901 Theory of Statistics
MATH2831 or MATH2931 Linear ModelsStage 3
MATH3801 or MATH3901 Probability and Stochastic Processes
MATH3811 or MATH3911 Statistical Inference
MATH3821 Statistical Modelling and Computing
plus one of the following:
MATH3831 Statistical Methods in Social & Market Research
MATH3841 Statistical Analysis of Dependent Data
MATH3851 Experimental Design and Categorical Data
MATH3871 Bayesian Inference and Computation
plus
12 UOC of non statistics Level III MATH courses.Total: 84 units of credit
Please be aware that to fulfill the requirements for a Double Major in Mathematics and Statistics you may be required to use one of your electives in order to complete the double major.