Study
Probability is a beautiful mathematical subject in its own right. Students who are interested in diverse subjects such as statistics, statistical mechanics, mathematical biology, mathematical finance, analysis, discrete mathematics, optimisation…. are also likely to benefit from taking subjects in probability.
The following U. Melbourne subjects are strongly recommended for students who are interested in gaining expertise in probability:
- Advanced Calculus (MAST10021)
- Advanced Linear Algebra (MAST10022)
- Probability (MAST20004)
- Real Analysis (MAST20026)
- Probability for Inference (MAST30020)
- Stochastic Modelling (MAST30001)
- Metric and Hilbert Spaces (MAST30026)
- Measure Theory (MAST90012)
- Advanced Probability (MAST90081)
- Stochastic Calculus with Applications (MAST90059)
- Advanced Topics in Stochastic Models (MAST90112)
- Random Processes (MAST90019)
Other subjects that are (sometimes) offered at U. Melbourne that are very useful for probability students to know about:
- Methods of Mathematical Physics (MAST30031)
- Graph Theory (MAST30011)
- Complex Analysis (MAST30021)
- Mathematical Statistical Mechanics (MAST90060)
- Functional Analysis (MAST90020)
- Enumerative Combinatorics (MAST90031)
- Riemann Surfaces and Complex Analysis (MAST90056)
- Exactly Solvable Models (MAST90065)
- Mathematical Statistics (MAST90082)
- Random Matrix Theory (MAST90103)
- Advanced Mathematical Statistics (MAST90123)