Programme/Approved Electives for 2022/23
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 and develop critical thought in its application in choosing appropriate mathematical structures to tackle and solve real-life situations;3) to illustrate the principles of the modelling cycle (simplify and represent; analyse and solve; interpret and evaluate; communicate and reflect) through solving a variety of problems. This is carried out within the framework of a range of real-world situations and will also utilise computer-based activities, including the use of computer algebra systems.
Intended Learning Outcomes
use the mathematical modelling cycle: 1apply the stages of the mathematical modelling cycle to a variety of real-world problems: 1apply a diverse range of abstract mathematical techniques in solving real-world problems: 1set up and critically analyse appropriate mathematical frameworks in solving real-world problems: 1identify critical information from models constructed to mimic real-world problems and to use this information in a predictive capacity: 1
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 100%
Description of Module Assessment
MapleTA assessments testing knowledge and application of course contentApproximately weekly/biweekly online MapleTA computer-based assignments that are equally weighted. Each assignment is comprised of 4 or 5 questions testing knowledge of the material covered up to that point.
The questions are randomised from a question pool and contain different numerical values, but all students must demonstrate the same outcomes. Students are permitted an unlimited number of attempts until they receive full marks on a single question.
The average mark over all attempts is then awarded as the score for that particular question when completed or when the deadline is met.