# Master of Mathematical Sciences

In our increasingly technological world the study of mathematics is vital to future developments and discoveries. A foundation in this area will enable you to apply logic and quantitative reasoning to a vast array of situations, changing the way you think about your surroundings and how things work.

The Master of Mathematical Sciences degree has been designed to provide thorough internationally competitive training in mathematics and to provide a bridge between undergraduate studies and future research in mathematical sciences.

Undergraduate students from the University of Sydney wishing to undertake the Master of Mathematical Sciences are expected to have completed a major in Mathematics, Statistics, Data Science, or Financial Mathematics and Statistics.

The degree will provide thorough training in the mathematical sciences for students who wish to transition from undergraduate studies to research in the mathematical sciences, and will provide a solid foundation for PhD studies.

See also the information concerning the Master of Mathematical Sciences in the University's courses database.

## Units of Study

The following units of study may be counted as part of the requirements for the degree:

- Advanced Dynamical Systems (MATH4414)
- Advanced Inference (STAT5610)
- Advanced Methods in Applied Mathematics (MATH4412)
- Advanced Statistical Modelling (STAT4027)
- Algebraic Topology (MATH4311)
- Applied Computational Mathematics (MATH4411)
- Applied Linear Models (Advanced) (STAT3922)
- Applied Mathematical Modelling (MATH4413)
- Applied Statistics for Complex Data (DATA5710)
- Arbitrage Pricing in Continuous Time (MATH4511)
- Bayesian Computational Statistics (DATA5711)
- Commutative Algebra (MATH4312)
- Complex Analysis (MATH4079)
- Computational Mathematics (MATH4076)
- Convex Analysis and Optimal Control (MATH4071)
- Data Science Capstone (DATA3888)
- Deterministic and Stochastic Systems (MATH5420)
- Differential Geometry (MATH4068)
- Dynamical Systems and Applications (MATH4063)
- Financial Derivatives (Advanced) (MATH3975)
- Fluid Dynamics (MATH4074)
- Functional Analysis (MATH4313)
- Lagrangian and Hamiltonian Dynamics (MATH4077)
- Linear and Mixed Models (STAT4022)
- Mathematical Models for Natural Phenomena (MATH5430)
- Measure Theory and Fourier Analysis (MATH4069)
- Metric Spaces (MATH4061)
- Networks and High-dimensional Inference (DATA5441)
- Optimal Control and Game Theory (MATH5550)
- PDEs and Applications (MATH4078)
- Probability and Martingale Theory (STAT4528)
- Probability and Mathematical Statistics (STAT4028)
- Projects in Financial Mathematics (FMAT3888)
- Projects in Mathematics (MATH3888)
- Representation Theory (MATH4314)
- Rings, Fields and Galois Theory (MATH4062)
- Special Topics in Applied Mathematics (MATH5410)
- Statistical Consulting (STAT4026)
- Statistical Inference (Advanced) (STAT3923)
- Statistical Machine Learning (STAT3888)
- Statistical Methodology (STAT5611)
- Stochastic Analysis (MATH4512)
- Stochastic Processes (Advanced) (STAT3921)
- Stochastic Processes and Applications (STAT4021)
- Stochastics and Finance (MATH5551)
- Theory and Methods of Statistical Inference (STAT4023)
- Time Series (STAT4025)
- Topics in Algebra (MATH5310)
- Topics in Analysis (MATH5320)
- Topics in Financial Mathematics (MATH4513)
- Topics in Geometry (MATH5330)
- Topics in Topology (MATH5340)
- Variational Methods (MATH4315)