NB: Only for Mathematics with Secondary Education students.
This module provides an opportunity for students on the Mathematics with Secondary Education programme to explore and research a topic in mathematics or statistics that is of interest to the student. Under the guidance of a supervisor, the student will engage in self-directed study to produce a dissertation. Outline syllabus: This is determined by the topic of the project. Indicative mathematics titles include the following: Knot theory; Logistic map; Totally non-negative matrices; Signed permutations and the four colour theorem; Generating functions; Latin squares; Teaching further Linear Algebra; Graph theory; Exploring mathematics with origami; Classical invariant theory; Zeta functions; Foundations of the real numbers; Euler's formula; Creative use of random numbers to teach Statistics; The National Lottery; Circular data.
Total contact hours: 9
Private study hours: 291
Total study hours: 300
100% Project
An appropriate reading list will be provided by the supervisor for each topic.
See the library reading list for this module (Canterbury)
The intended subject specific learning outcomes. On successfully completing the module students will:
1 have appreciated a particular area of mathematical thought or mathematical exposition in greater depth than in previous taught courses;
2 have developed skills in mathematical computation and/or communication relevant to the topic;
3 be able to draw conclusions from statistical data, mathematical calculations or computer output;
4 have a reasonable ability to apply mathematical concepts and/or statistical techniques in a particular context;
5 have written a reasonably coherent account of an area of mathematical thought, or a statistical method;
6 have performed computations that show their understanding of the techniques relevant to the topic;
7 have improved their ability in mathematical and statistical modelling of particular problems.
The intended generic learning outcomes. On successfully completing the module students will have:
1 improved communication skills;
2 enhanced intellectual independence;
3 relevant computing skills, including use of appropriate document preparation and word-processing packages;
4 improved problem solving skills
5 awareness of important issues relating to good written presentation of results;
6 greater ability to select material from source texts, either recommended to or found by the student, and shown awareness of the relationship of the material to background
and to more advanced material;
7 increased their ability for independent learning and time management.
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