Programme/Approved Electives for 2020/21
Available as a Free Standing Elective
This module is designed to help students appreciate mathematics as a method for describing and solving real-world problems. We introduce the mathematical modelling cycle that provides a conceptual model to study real-world problems. The mathematical and problem solving ideas will be developed through a number of short exercises and a project.
This module has the following aims:1) to demonstrate mathematics as a method for describing and solving real-world problems;2) to introduce the mathematical modelling cycle;3) to illustrate the principles of the modelling cycle (simplify and represent; analyse and solve; interpret and evaluate; communicate and reflect) to a variety of real-world situations;4) develop students ability to apply the modelling cycle to real-world problems.
Intended Learning Outcomes
use the mathematical modelling cycle;: 1,2,apply the stages of the mathematical modelling cycle to a variety of real-world problems;: 1,2,communicate, in an appropriate form, the results of the application of the modelling cycle to a variety of audiences.: 2,
48 hours classes, including: lectures, tutorials and project preparation. The numbers of lectures and classes will vary from week to week.12 hours exercise preparation.90 hours private study.
A Level Mathematics (or equivalent)
1: Exercise weighted 30%
Description of Module Assessment
Approximately 3 assignments set at regular intervals.Continuous assessment will consist of written coursework, problem sheets, class tests, or any combination thereof.2: Project weighted 70%
A mathematical projectA three week mathematical project to test the theoretical and practical aspects of the module. The project requires the application of the modelling cycle to a given real-world problem. The output of the application of the modelling cycle is then communicated in a mathematical report that demonstrates the stages of the cycle's application (simplify and represent; analyse and solve; interpret and evaluate; communicate and reflect). The length of the report will not exceed eight sides of A4, not including appendices, but including figures and tables. Formatting guidelines will be provided.