Pure Mathematics specialisation

Mathematics is both an art and a science, and pure mathematics is its foundation. A specialisation in pure mathematics gives students the opportunity to study the basic concepts that underly all mathematical applications.

Subject choices

Note: The information below is for students studying full-time and commencing in the start-of-year intake. Subject sequences may differ for students studying part-time or commencing mid-year. This page only lists the mathematics and statistics subjects required for the Pure Mathematics specialisation, but students must also take additional science and breadth subjects to satisfy the requirements of the Bachelor of Science. Students are encouraged to seek individual course advice if needed.

Level-1 subjects (first year)

Students take one of the standard first-year mathematics pathways.

Students are also recommended to take a computing subject such as COMP10001 Foundations of Computing.

Level-2 subjects (second year)

Students take the following level-2 Mathematics and Statistics subjects in their second year:

  • MAST20026 Real Analysis or  MAST20033 Real Analysis: Advanced (semester 1)
    Note: Students who completed MAST10009 Accelerated Mathematics 2 do not take MAST20026 Real Analysis or MAST20033 Real Analysis: Advanced.
  • MAST20009 Vector Calculus (semester 1 or 2) or MAST20032 Vector Calculus: Advanced (semester 1)
  • MAST20022 Group Theory and Linear Algebra (semester 2)

Level-3 subjects (third year)

Students must complete the following subjects to satisfy the requirements for the Pure Mathematics specialisation.
All of:

  • MAST30021 Complex Analysis (semester 1 or 2)
  • MAST30005 Algebra (semester 1)
  • MAST30026 Metric and Hilbert Spaces (semester 2)

plus one of:

  • MAST30011 Graph Theory (semester 1)
  • MAST30012 Discrete Mathematics (semester 2)
  • MAST30024 Geometry (semester 1)