## 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.

In the first three semesters of your degree your program depends upon your studies and results at VCE level.

VCE Study Score | Semester 1 | Semester 2 | Semester 3 |
---|---|---|---|

≥25 in VCE Mathematics Methods 3/4 and no (or <30 in) VCE Specialist Mathematics 3/4 | MAST10005 Calculus 1 | MAST10006 Calculus 2 and MAST10007 Linear Algebra** |
MAST20026 Real Analysis and MAST20009 Vector Calculus |

29 to 40 in VCE Specialist Mathematics 3/4 | MAST10006 Calculus 2 | MAST10007 Linear Algebra | MAST20026 Real Analysis and MAST20009 Vector Calculus |

≥38 in VCE Specialist Mathematics 3/4 | MAST10008 Accelerated Mathematics 1 | MAST10009 Accelerated Mathematics 2 | MAST20009 Vector Calculus [Optional Subject MAST20004 Probability] |

**May be done over summer.

In semesters 4 to 6 students do a common course.

Semester 4 | Semester 5 | Semester 6 | |
---|---|---|---|

Core subjects | MAST20022 Group Theory and Linear Algebra | MAST30021 Complex Analysis and MAST30005 Algebra |
MAST30026 Metric & Hilbert Spaces |

plus choose at least one of | MAST30011 Graph Theory | MAST30024 Geometry MAST30012 Discrete Mathematics |