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For Future Students

Pathways in Pure Mathematics

Mathematics major – pure mathematics

A major in mathematics consists of 24 credit points (four units) of senior mathematics (pure or applied). A double major (48 credit points) is recommended for students interested in postgraduate mathematics.

The following program is highly recommended for those students aiming at a mathematics major focussing on pure mathematics. Optional extra units are available in second and third year, and students interested in mathematics are encouraged to consider taking some of these in addition to the core program.

The arrows in the diagrams below indicate roughly which junior (first year) units are most relevant for the various intermediate (second year) units, and which intermediate units are most relevant for the various senior units.

Advanced level (See below for Mainstream level)

To progress to senior mathematics students are required to take 12 credit points (two units) of intermediate mathematics, although it is recommended to take more than the minimum.

  • The second year units MATH2961, MATH2962, and MATH2968 are particularly useful for third year advanced pure mathematics.
  • The third year units MATH3961 and MATH3962 are particularly important for fourth year honours in pure mathematics.
  • Optional additional units may be chosen from the applied mathematics program or the mathematical statistics program (provided the prerequisites are met).
Semester 1 Semester 2 Differential Calculus MATH1901 Linear Algebra MATH1902 Integral Calculus and Modelling MATH1903 Statistics MATH1905 Real and Complex Analysis MATH2962 Linear Algebra and Vector Calculus MATH2961 Discrete Mathematics and Graph Theory MATH2969 Algebra MATH2968 Partial Differential Equations MATH2965 Number Theory and Cryptography MATH2988 Metric Spaces MATH3961 Rings, Fields and Galois Theory MATH3962 Differential Equations and Biomathematics MATH3963 Differential Geometry MATH3968 Measure Theory and Fourier Analysis MATH3969

Mainstream level

To progress into senior mathematics students are required to take 12 credit points (two units) of intermediate mathematics, but it is recommended to take more than the minimum.

Semester 1 Semester 2 Integral Calculus MATH1001 Linear Algebra MATH1002 Integral Calculus and Modelling MATH1003 Discrete Mathematics MATH1004 Statistics MATH1005 Linear Algebra and Vector Calculus MATH2061 Discrete Mathematics and Graph Theory MATH2069 Partial Differential Equations MATH2065 Number Theory and Cryptography MATH2068 Differential Equations and Biomathematics MATH3063 Algebra and Logic MATH3066 Geometry and Topology MATH3061 Analysis MATH3068