• Offered by Department of Mathematics
• ANU College ANU Joint Colleges of Science
• Course subject Mathematics
• Areas of interest Mathematics
• Course convener
• Dr Malcolm Brooks
• Mode of delivery In Person
• Offered in First Semester 2015
Games, Graphs and Machines (MATH2301)

This course is designed to show some of the interdependence of mathematics and computing, and is designed for students in both computer science and mathematics.

Topics to be covered include:

Foundations - Relations on sets, including equivalence, partial order relations and relational databases; properties of functions, permutations, arithmetic of integers modulo n.

Grammars and Automata - Phrase structure grammars, finite state automata, and the connections between the language accepted by an automaton, regular sets and regular grammars.

Graph Theory - Hamiltonian circuits, vertex colouring and the chromatic polynomial of a graph, planar graphs, applications including the travelling salesperson problem and scheduling problems.

Game Theory - Games of strategy as an application of graph theory, matrix games and solution of matrix games.

## Learning Outcomes

Upon successful completion, students will have the knowledge and skills to:

On satisfying the requirements of this course, students will have the knowledge and skills to:

1.  Explain some of the major concepts of Discrete Mathematics and their role in modern mathematics.
2.  Explain the relationship between languages, finite state automata and regular sets.
3.  Use graph theoretic methods to solve appropriate problems.
4.  To decide appropriate methods to use when solving a problem in the topics covered.
5.  Solve problems with a good degree of accuracy.
6.  Use the internet and library to research some areas of the course.
7.  Experience working together to solve certain problems.

## Indicative Assessment

Assessment will be based on:

• Learning Portfolio (10%; LO1-7)
• Assignments (3) (30%; LO 1-7)
• Mid-semester test (15%; LO1-5)
• Final examination (45%; LO1-5)

The ANU uses Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. While the use of Turnitin is not mandatory, the ANU highly recommends Turnitin is used by both teaching staff and students. For additional information regarding Turnitin please visit the ANU Online website.

36 lectures and ten tutorials

## Requisite and Incompatibility

To enrol in this course you must have completed MATH1005 or MATH1013 or MATH1115

## Fees

Tuition fees are for the academic year indicated at the top of the page.

If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.

Student Contribution Band:
2
Unit value:
6 units

If you are an undergraduate student and have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). You can find your student contribution amount for each course at Fees.  Where there is a unit range displayed for this course, not all unit options below may be available.

Units EFTSL
6.00 0.12500

## Course fees

Domestic fee paying students
Year Fee
2015 \$3096
International fee paying students
Year Fee
2015 \$4146
Note: Please note that fee information is for current year only.

## Offerings, Dates and Class Summary Links

ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage.

The list of offerings for future years is indicative only.
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.

### First Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
1804 16 Feb 2015 06 Mar 2015 31 Mar 2015 29 May 2015 In Person N/A