• 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 2014
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. You are not able to enrol in this course if you have previously completed MATH2001, MATH2006 MATH2063.

## 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. Students continuing in their current program of study will have their tuition fees indexed annually from the year in which you commenced your program. 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
1994-2003 \$1650
2004 \$1926
2005 \$2298
2006 \$2520
2007 \$2520
2008 \$2916
2009 \$2916
2010 \$2916
2011 \$2946
2012 \$2946
2013 \$2946
2014 \$2946
International fee paying students
Year Fee
1994-2003 \$3390
2004 \$3450
2005 \$3450
2006 \$3618
2007 \$3618
2008 \$3618
2009 \$3618
2010 \$3750
2011 \$3756
2012 \$3756
2013 \$3756
2014 \$3762
Note: Please note that fee information is for current year only.

## Offerings, Dates and Class Summary Links

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
3323 17 Feb 2014 07 Mar 2014 31 Mar 2014 30 May 2014 In Person N/A