University of Sydney Handbooks - 2021 Archive

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The School of Mathematics and Statistics is situated in the Faculty of Science. Units of study in this major are available at standard and advanced level.

About the major

Mathematics is powerful, beautiful and diverse. It is a language, a tool for analysis and prediction, and a way of thinking about the world. At 1000- and 2000-level, this major equips students with the foundational ideas of mathematics: abstract algebra, vector calculus and calculus of several variables, as well as formal proof and analysis.

At 3000-level and beyond, you will have a choice from a wide range of electives in both pure and applied areas of mathematics, including measure theory, dynamical systems, geometry, topology and mathematical computing. The range of units available has been designed to cater for you - whether you intend to become a professional mathematician or to follow other interests with a highly sought-after set of mathematical skills.

All units in the mathematics major at 1000- and 2000-level are offered at Advanced level (with a 9 in the second place in the number in the unit code) as well as at standard level.

Requirements for completion

The Mathematics major and minor requirements are listed in the Mathematics unit of study table.

Contact and further information

First year enquiries:

Other undergraduate enquiries:

All enquiries: +61 2 9351 5787

Major coordinator
Dr Kevin Coulembier

Learning Outcomes

Students who graduate from Mathematics will be able to:

  1. Exhibit a broad and coherent body of knowledge in the principles and concepts of a range of foundation areas in mathematics.
  2. Describe the breadth of the discipline, its role in other fields and the way that other fields contribute to development in mathematics.
  3. Interpret information communicated in mathematical form.
  4. Communicate mathematical concepts and findings through a range of modes for a variety of purposes and audiences, and effectively respond to questions and challenges.
  5. Construct logical, clearly presented and justified arguments incorporating inductive reasoning.
  6. Formulate and model practical and abstract problems in mathematical terms using a variety of methods.
  7. Solve practical and abstract problems in mathematics using a range of concepts, techniques and technologies, working professionally, ethically and responsibly and with consideration of social and cultural perspectives, as individuals or as part of collaborative, interdisciplinary teams.