• Offered by Mathematical Sciences Institute
• ANU College ANU Joint Colleges of Science
• Course subject Mathematics
• Areas of interest Mathematics
• Course convener
• Dr Asilata Bapat
• Mode of delivery In Person
• Offered in Second Semester 2021
Games, Graphs and Machines (MATH2301)

This course has been adjusted for remote participation in Sem 2 2021, however students are encouraged to attend on-campus activities if possible.

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.

Three lectures per week and regular workshops.

## 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.

Commonwealth Support (CSP) Students
If you 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). More information about your student contribution amount for each course at Fees

Student Contribution Band:
1
Unit value:
6 units

If you are a domestic graduate coursework student with a Domestic Tuition Fee (DTF) place or international student you will be required to pay course tuition fees (see below). Course tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found 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
2021 \$4110
International fee paying students
Year Fee
2021 \$5880
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.

### Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
6110 26 Jul 2021 02 Aug 2021 14 Sep 2021 29 Oct 2021 In Person View