MATH2301 Games, Graphs and Machines
Later Year Course
| Offered By | Department of Mathematics |
|---|---|
| Academic Career | Undergraduate |
| Course Subject | Mathematics |
| Offered in | First Semester, 2009 and First Semester, 2010 |
| Unit Value | 6 units |
| Course Description |
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 |
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:
|
| Workload |
36 lectures and ten tutorials |
| Areas of Interest | Mathematics |
| Requisite Statement | |
| Incompatibility |
with MATH2001, MATH2006, MATH2063. |
| Science Group | B |
The information published on the Study at ANU 2009 website applies to the 2009 academic year only. All information provided on this website replaces the information contained in the Study at ANU 2008 website.
