mat2gt graph theory
GRAPH THEORY
MAT2GT
2019
Credit points: 15
Subject outline
Graph theory is a part of discrete mathematics which deals with the interrelationships between a group of objects - in this context a graph is simply a set of nodes together with lines connecting some of them. In addition to their intrinsic interest, graphs are used to model structures as diverse as molecules, sentences, communications networks, and social networks. We will explore these models as well as the underlying mathematical structures. Algorithms are fundamental to the subject, for example, communications networks rely heavily on algorithms which minimise costs or maximise efficiency. Particular applications will depend on the interests of the class. This subject is especially suitable for computing, mathematics, and engineering students. It is offered at 2nd and 3rd year levels: the 3rd year level is a core subject in the Mathematics and Statistics major in Bendigo.
SchoolSchool Engineering&Mathematical Sciences
Credit points15
Subject Co-ordinatorChristopher Lenard
Available to Study Abroad StudentsYes
Subject year levelYear Level 2 - UG
Exchange StudentsYes
Subject particulars
Subject rules
Prerequisites MAT1CA or MAT1NLA or MAT1CDE or MAT1DIS or MAT1MIT
Co-requisitesN/A
Incompatible subjects MAT3GT, MAT2NAG, MAT3NAG
Equivalent subjectsN/A
Special conditionsN/A
Graduate capabilities & intended learning outcomes
01. Identify basic types of graphs, and explain the meaning of basic graph theory terms.
- Activities:
- Examples are introduced and discussed in lectures and concepts reinforced in assignments and tutorials.
02. Apply fundamental theorems and algorithms of graph theory.
- Activities:
- Examples are introduced and discussed in lectures and concepts reinforced in assignments and tutorials.
03. Describe the relevance of graph theory to various canonical applications.
- Activities:
- Examples are introduced and discussed in lectures and concepts reinforced in assignments and tutorials.
04. Describe, with examples, the uses of graphs as models in non-mathematical disciplines.
- Activities:
- Examples presented in class; one assignment is devoted to an essay on applications.
05. Solve complex problems by synthesising simpler concepts, ideas, and techniques.
- Activities:
- Assignments and tutorials. Special emphasis is given to feedback, in class, on recently completed assignments.
06. Construct simple proofs and identify an invalid proof.
- Activities:
- Assignments and tutorials. Special emphasis is given to feedback, in class, on recently completed assignments.
07. Write solutions to problems in a clear and logical fashion using correct terminology and supported by appropriate explanations.
- Activities:
- Assignments and tutorials. Special emphasis is given to feedback, in class, on recently completed assignments.
Subject options
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Bendigo, 2019, Semester 1, Day
Overview
Online enrolmentYes
Maximum enrolment sizeN/A
Enrolment information
Subject Instance Co-ordinatorChristopher Lenard
Class requirements
LectureWeek: 10 - 22
One 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
TutorialWeek: 10 - 22
One 2.0 hours tutorial per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
LectureWeek: 10 - 22
One 2.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
Assessments
| Assessment element | Comments | % | ILO* |
|---|---|---|---|
| Five problem-based assignments (equivalent to 700-800 words each) | (Assignment 1-15%, Assignment 2-15%, Assignment 3-15%, Assignment 4-20%, Assignment 5-15%) Each is typically completed in 5-8 pages | 80 | 01, 02, 03, 04, 05, 06, 07 |
| One essay-based assignment of 500-1000 words. | 20 | 01, 02, 03, 04, 05, 06, 07 |