School of Computing and Mathematics

Faculty of Natural Sciences

For academic year: 2023/24 Last Updated: 13 February 2024

MAT-10061 - Introduction to Mathematical Modelling

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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 considered problems and short exercises.

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 to construct equations describing real-world problems: 1,2

apply a diverse range of abstract mathematical techniques in solving real-world problems: 1,2

set up and critically analyse appropriate frameworks in solving real world problems: 1,2

identify critical information from models representing real-world problems and use this information in a predictive capacity: 1,2

select appropriate mathematical modeling tools to represent a diverse range of real-world scenarios and to identify their solution: 2

apply a diverse range of abstract mathematical techniques in solving real-world problems: 1,2

set up and critically analyse appropriate frameworks in solving real world problems: 1,2

identify critical information from models representing real-world problems and use this information in a predictive capacity: 1,2

select appropriate mathematical modeling tools to represent a diverse range of real-world scenarios and to identify their solution: 2

24 hours lectures

24 hour computer lab tutorials aimed at solving continuous assessments

12 hours exercise preparation

12 hours class test preparation

78 hours private study

24 hour computer lab tutorials aimed at solving continuous assessments

12 hours exercise preparation

12 hours class test preparation

78 hours private study

A Level Mathematics (or equivalent)

Möbius assessments testing knowledge and application of course content

Weekly online Möbius computer-based assignments in Weeks 1 to 11 that are equally weighted. Each assignment is comprised of 3 or 4 questions testing knowledge of the material in this period.

Class Test on Möbius

A class test will be given in Week 12 through the online assessment tool Möbius that will test your ability to select appropriate mathematical modelling tools and techniques to set up and solve models describing real world scenarios.