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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 MATH1901 Differential Calculus MATH 1901 MATH1902 Linear Algebra MATH 1902 MATH1903 Integral Calculus and Modelling MATH 1903 MATH1905 Statistics MATH 1905 MATH2962 Real and Complex Analysis MATH 2962 MATH2961 Linear Algebra and Vector Calculus MATH 2961 MATH2969 Discrete Mathematics and Graph Theory MATH 2969 MATH2968 Algebra MATH 2968 MATH2965 Partial Differential Equations MATH 2965 MATH2988 Number Theory and Cryptography MATH 2988 MATH3961 Metric Spaces MATH 3961 MATH3962 Rings, Fields and Galois Theory MATH 3962 MATH3963 Differential Equations and Biomathematics MATH 3963 MATH3968 Differential Geometry MATH 3968 MATH3969 Measure Theory and Fourier Analysis MATH 3969

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 MATH1001 Integral Calculus MATH 1001 MATH1002 Linear Algebra MATH 1002 MATH1003 Integral Calculus and Modelling MATH 1003 MATH1004 Discrete Mathematics MATH 1004 MATH1005 Statistics MATH 1005 MATH2061 Linear Algebra and Vector Calculus MATH 2061 MATH2069 Discrete Mathematics and Graph Theory MATH 2069 MATH2065 Partial Differential Equations MATH 2065 MATH2068 Number Theory and Cryptography MATH 2068 MATH3063 Differential Equations and Biomathematics MATH 3063 MATH3066 Algebra and Logic MATH 3066 MATH3061 Geometry and Topology MATH 3061 MATH3068 Analysis MATH 3068