School of Computing and Mathematics

Faculty of Natural Sciences

For academic year: 2020/21 Last Updated: 30 May 2020

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;

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.

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.

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,

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.

12 hours exercise preparation.

90 hours private study.

A Level Mathematics (or equivalent)

Approximately 3 assignments set at regular intervals.

Continuous assessment will consist of written coursework, problem sheets, class tests, or any combination thereof.

A mathematical project

A 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.