Programme/Approved Electives for 2019/20
Mathematics Combined Honours (Level 6)Mathematics Minor (Level 6)
Available as a Free Standing Elective
This module introduces the concept of a graph as a pictorial representation of a symmetric relation. A variety of topics are investigated and, for each one, at least one of the major theorems is proved. The emphasis is on pure graph theory although a significant number of applications are explored via worked examples and coursework.The module develops the following Keele Graduate attributes:1. An open and questioning approach to ideas, demonstrating curiosity and independence of thought.2. An appreciation of the development and value of Mathematics and the links between different areas of the subject.4. The ability creatively to solve problems using a range of different approaches and techniques, and to determine which techniques are appropriate for the problem at hand.6. The ability to communicate clearly and effectively in written form.
The aim of this module is to study various topics in graph theory, together with a number of applications.
Intended Learning Outcomes
recognise, and establish properties, of different types of graphs such as trees, bipartite and complete graphs: 1,2prove, and apply, conditions for a graph to be Eulerian or Hamiltonian: 1,2prove, and apply, results related to the colouring of the vertices or edges of a graph: 1,2prove, and apply, results related to properties of extremal graphs: 1,2prove, and apply, results concerning planar graphs: 1,2
Lectures: 30 hoursPreparation of coursework: 30 hoursIndependent study: 88 hoursUnseen examination : 2 hours
1: Exercise weighted 30%
Description of Module Assessment
PROBLEM SOLVINGContinuous assessment will consist of two equally weighted Class Tests of approximately 60 minutes.2: Unseen Exam weighted 70%
2 HOUR UNSEEN EXAMThe examination paper will consist of no less than five and not more than eight questions all of which are compulsory.