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.