## Discrete Mathematics and Operations Research Specialisation

The specialisation in Discrete Mathematics and Operations Research gives students a firm foundation in two areas of mathematics and statistics:

- Discrete Mathematics, the study of algorithmic development including the programming of the most efficient mathematical solutions, has arisen from the huge revolution in computing in recent decades.
- Operations Research provides a scientific approach to decision making. It involves formulating mathematical models of these problems, and developing mathematical tools to obtain solutions.

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 either MAST20004 Probability or MAST20006 Probability for Statistics |

29 to 40 in VCE Specialist Mathematics 3/4 | MAST10006 Calculus 2 | MAST10007 Linear Algebra | MAST20026 Real Analysis and either MAST20004 Probability or MAST20006 Probability for Statistics |

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

**May be done over summer or semester 1 of second year. If Linear Algebra is deferred until semester 1 of second year, Real Analysis will be done in semester 2 of second year and Probability or Probability for Statistics in semester 1 of third year.

In semesters 4 to 6 students do a common course.

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

Core subjects | MAST20018 Discrete Maths and Operations Research | MAST30021 Complex Analysis and MAST30013 Techniques in Operations Research |
MAST30012 Discrete Mathematics |

plus choose at least one of | MAST30011 Graph Theory MAST30025 Linear Statistical Models* |
MAST30022 Decision Making MAST30001 Stochastic Modelling |

**Notes:**

* MAST30025 requires MAST20005 Statistics as an additional prerequisite.