University of Adelaide

What you'll study

The Honours year builds on undergraduate study by offering advanced coursework together with an independent research thesis. You will take a selection of honours-level subjects from pure and applied mathematics and statistics, and complete a substantial supervised research project that develops skills in problem formulation, literature review, mathematical proof, computation and technical communication.

• Core topics: advanced real analysis and measure theory, abstract algebra and group theory, and advanced linear algebra.
• Applied and computational topics: numerical analysis and scientific computing, optimisation and control, partial differential equations, mathematical modelling and computational methods.
• Probability and statistics: stochastic processes, advanced probability theory, statistical inference and time series, depending on elective choices.
• Research project: an extended supervised thesis (research dissertation) on a topic in pure or applied mathematics or statistics. The project emphasises original work, mastery of techniques, and clear presentation of results.
• Seminars and professional development: participation in research seminars, presentation of your thesis work, and training in research ethics and publishing.

Entry requirements

Admission to the Honours year normally requires completion of a recognised three-year bachelor degree with a substantial major in mathematics or closely related discipline. Applicants are expected to demonstrate strong academic performance in advanced mathematics subjects—typically an upper second-class (or equivalent) cumulative average or higher—plus preparation in analysis and algebra. Specific prerequisites include completion of advanced undergraduate courses in real analysis and linear algebra; applicants with a background in statistics, numerical methods or applied mathematics may also be considered depending on project availability.

Selection may take account of referee reports and a statement of research interest; applicants who lack a formal honours-ready background may be advised to undertake additional undergraduate coursework before entry. International applicants must meet the University of Adelaide's general English language requirements.

Career prospects

An Honours year in mathematics opens multiple pathways. Many graduates use honours as preparation for a research higher degree (PhD) in mathematics, statistics or related fields. Others move directly into analytical and technical roles across industry and government.

• Data scientist and data analyst roles in finance, technology and consulting
• Actuarial positions (often requiring further professional examinations)
• Quantitative analyst roles in banking and risk management
• Modelling and simulation roles in engineering, environmental science and defence
• Software development and algorithm design positions
• Research and policy roles in government statistical agencies
• Teaching at secondary level, usually combined with a teaching qualification

Why study at University of Adelaide

The University of Adelaide's School of Mathematical Sciences combines established strengths in pure and applied mathematics, statistics and computational mathematics. Honours students benefit from close supervision by active researchers, access to research seminars and collaborative projects, and opportunities to work with computational resources and industry partners. The honours year provides a clear pathway into postgraduate research while also equipping graduates with the analytical and quantitative skills sought by employers across sectors.