School of Computing and Mathematics

Faculty of Natural Sciences

For academic year: 2022/23 Last Updated: 14 February 2023

MAT-10051 - Applied Mathematics

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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.

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.

use the mathematical modelling cycle: 1

apply the stages of the mathematical modelling cycle to a variety of real-world problems: 1

apply a diverse range of abstract mathematical techniques in solving real-world problems: 1

set up and critically analyse appropriate mathematical frameworks in solving real-world problems: 1

identify critical information from models constructed to mimic real-world problems and to use this information in a predictive capacity: 1

apply the stages of the mathematical modelling cycle to a variety of real-world problems: 1

apply a diverse range of abstract mathematical techniques in solving real-world problems: 1

set up and critically analyse appropriate mathematical frameworks in solving real-world problems: 1

identify 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.

12 hours exercise preparation.

90 hours private study.

A Level Mathematics (or equivalent)

MapleTA assessments testing knowledge and application of course content

Approximately 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.